diff --git "a/data/dm_maths/full_data_1/1455_11255.jsonl" "b/data/dm_maths/full_data_1/1455_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1455_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the greatest common factor of 1084909 and 343.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/1431 and 27\/11?\nAnswer: 15741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**4 + u**3 - 1. Let l(t) = 41*t**5 - 5*t**4 - 4*t**3 + 2*t**2 - 37*t + 5. Let r(d) = -5*h(d) - l(d). Find the third derivative of r(v) wrt v.\nAnswer: -2460*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2235 and 10728?\nAnswer: 53640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44 - 122 - 2*o**2 + 41 - o**3 + 23 wrt o.\nAnswer: -3*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8635 - 8615. Which is the nearest to -2\/5? (a) m (b) 3 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -5, 0.1, -1\/4, 100363?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-2))\/(594\/(-99)))\/(11\/(-4))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -20, -1, 24?\n\"Answer: 3*i**2 + 4*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2 - 30 + 10*q + 86*q - 11. Let d be u(10). Suppose d = 14*k - 1151. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 25983200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 6*w - 6*w + w - 2*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 2, t: 5, d: 1, v: 3, a: 1}. Give prob of picking 2 i.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*17\/(14535\/(-38)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuuuzuuz. What is prob of picking 2 u and 2 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10 = p, -8*p + 6 = -3*p + l. Suppose 0 = -4*k + p + 10. Sort -2, -3, k in increasing order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2)*60*(-621)\/(-46). Calculate the greatest common factor of a and 2160.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 68 = -2*v, -3*v + 34 = -2*v - 2*f. What is the tens digit of (v - 0) + -4 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 191396*t - 264 - 5*t**2 + 4*t**2 - 191397*t as f + p*t**2 + u*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*v - 5*b, 3*v - 6*b + 8*b = 0. Let k(i) = 8*i**v + 13 + 5*i + 1 + i**3 - 5. Suppose -3*z + 2*u - 29 = 0, 3 = -3*z + 2*z - u. Calculate k(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42.1? (a) 3 (b) 0 (c) -0.8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5356901 (base 10) in base 14?\nAnswer: -9d631b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o - 2. Let f be q(-1). Let s(u) be the first derivative of 3 - f - 4*u**2 + 2*u - 2*u. Let n(y) = -3*y**2. Calculate s(n(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 41*k - 182. Determine d(36).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -24709535600 to the nearest 1000000.\nAnswer: -24710000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7498 + 5332. What are the prime factors of a?\nAnswer: 2, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 3. Let k be p(-3). Suppose -7 - 13 = -4*m. Let q be (k\/m)\/((-4)\/10). Solve -9 + 0 = q*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and 4.47.\nAnswer: -219.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4\/4 - 10*c**3 + 223*c**2\/4 - 49*c\/2 - 90 = 0.\nAnswer: -45, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 + 3*h**2 + 3*h + 4. Let w = -73 - -80. Let n(i) = 5*i**3 + 8*i**2 + 7*i + 8. Let k(u) = w*x(u) - 3*n(u). Factor k(j).\nAnswer: -(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -990.605 - -11.8100765.\nAnswer: -978.7949235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 14. Let l(k) = k**3 - 3*k**2 - 2*k + 2. Is 14 a factor of l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:33 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6671, 6847, 7325, 8255, 9787?\n\"Answer: 25*f**3 + f**2 - 2*f + 6647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8739965 to the power of 1\/2, to the nearest integer?\nAnswer: 2956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 0*b**3 + 0*b**3 + (2*b + 4*b - 2*b)*(-2*b**4 + 3*b**4 - 2*b**4) + 2 - 2 - 2*b**5.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2)*2\/2. Let i(k) be the first derivative of 0*k**5 + 0*k**3 - 3 - 1\/6*k**6 + s*k + 0*k**4 - k**2. What is the second derivative of i(q) wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.038 - 45.038. Let q = 45.54 + n. Let o = q - 0.53999958. What is o rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 5. Let u(x) be the second derivative of -x**5\/20 - 7*x**4\/12 - 5*x**3\/3 - 9*x**2\/2 + x. Is 8 a factor of u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 114807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w - 36. Let a = w - -10. What is the second biggest value in 2\/5, a, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 23382630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 581 and 159129758.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2. Let h(r) = -37*r + 6. Let j(q) = 2625*q - 425. Let n(z) = 425*h(z) + 6*j(z). What is f(n(v))?\nAnswer: -1250*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/(-9) - (-14)\/63. Suppose 0 = -4*o + 12 - 0. Solve 5*d = x*g + 4, 5*d - 4 = -o*g - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1\/3, -0.02 in ascending order.\nAnswer: -19, -1\/3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/11 or -1?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 82.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + b**2 + b - 1. Suppose -d = 4*d - 5. Let v be k(d). Does 14 divide 26\/2 - (2 - v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-603)\/1072*12\/(-27)*-4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Solve i = 5*o - 7, -i + j*o = i + 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -132, -258, -384, -510?\n\"Answer: -126*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 87 - 885 - 2*p)*(2*p + 3*p + p).\nAnswer: -12*p**2 - 5832*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (78\/21 - 2)\/((-1)\/(-35)). Let c = d - 36. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25432*v**2 + 25415*v**2 - 3 + 0 - 4*v + 2*v**2 + 4*v + (-3 + 2*v + 3)*(0 + 2*v + 0) - 4*v**2 + v**2 + 2*v**2.\nAnswer: -12*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p - 6. Let w(u) = u + 10. Let b(l) = -l - 5. Let f(j) = -7*b(j) - 4*w(j). Determine 4*a(x) - 5*f(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -14*x - 13. Let b(s) = -26*s - 26. Let d(h) = -6*b(h) + 11*q(h). Let a(p) = p. Give a(d(o)).\nAnswer: 2*o + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.4911 and -513.\nAnswer: -506.5089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2223, -4451, -6683, -8919, -11159, -13403, -15651?\nAnswer: -17903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, -1, 1, -18521 in ascending order.\nAnswer: -18521, -1, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f + 2. Suppose 3*g - 6*g = -3. Let y be z(g). Let t(x) = -9*x + 10. What is the tens digit of t(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + g - 18 = -17, -4*b = 3*g + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 - 2*o**2 + 2*o. Let m(n) = 9*n**3 - 5*n**2 + 4*n. What is 4*m(t) - 10*u(t)?\nAnswer: -14*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1750003 = 5*i - x, -2*i + 4*i + 5*x + 699985 = 0. Round i to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 1. Let o(v) = -v**2 - 4*v + 4. Let a(j) = 4*f(j) - o(j). Let y(i) = -7*i**2. What is a(y(g))?\nAnswer: 49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/23172 and 143\/36.\nAnswer: 69516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z. Let l(t) = -36*t + 1. Determine l(p(k)).\nAnswer: 324*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902 = -40*c + 222. Round c to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Suppose f*c + c = 24. Solve -c = -3*j + j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 407989 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 383 or 58?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33.45 and 19267.8961.\nAnswer: 19234.4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 9*z - 567. Calculate the remainder when z is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2304\/(-80))\/24*(-28)\/7)\/((-540)\/200)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67490937167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -8, -3, 2 in decreasing order.\nAnswer: 21, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1250669 is divided by 1489.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4206*d**3*n**2 + 158*d**3 + 942*d**2 + 7249*n**2 - 18 wrt n.\nAnswer: 8412*d**3*n + 14498*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/4 + 178147*x**4\/2 + 10578754845*x**3 + 837576440985725*x**2\/2 - 1675195197347125*x\/4.\nAnswer: x*(x - 1)*(x + 118765)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - x - 3 = -14, 5*x + 29 = -4*s. Suppose 0*o - 2*o + 4 = -2*d, d = -4*o + 28. Let j be (-40)\/s + (-4)\/o. Let r(f) = f**2 - 8*f + 4. Determine r(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 22 = -2*t, 4*x - 2 = 4*t - 6. Suppose -2*z = -x*z + 532. Let j = z - 153. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 238226250 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:14 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -332*b**3 + 1 + 628*b**3 - 9*b**2 - 3*b - 293*b**3 in the form c*b + r + h*b**2 + a*b**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22650671, -22650673, -22650675?\n\"Answer: -2*h - 22650669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -567800 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73.051 - 73. Let p = -0.05099951 + n. Round p to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 624.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f. Let y(d) = 3*d**2 + 8. Determine -o(n) + y(n).\nAnswer: 2*n**2 + n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = 11. Let r(n) be the first derivative of n**4\/4 - 16*n**3\/3 - n**2 + 33*n - 10. Let j be r(b). Is j > -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(1\/5)\/m)*m*m\/m**1*m)\/((m*m*m**5)\/m**(4\/7)))\/(m**8*m*m**(-3\/5))**11 assuming m is positive.\nAnswer: m**(-3291\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 5:17 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2 - l + 4. What is the units digit of z(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r*r**(2\/7))*r\/(r\/(r*r*r**(2\/21)*r))*(r*(r*r**(2\/7))\/r)**42 assuming r is positive.\nAnswer: r**(1172\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -y - 3*y - 884, 3*a + 1316 = -y. What is the smallest common multiple of (a\/(-8) - 0) + (-305)\/(-244) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 20, 23 = 3*b - 4*i + 2*i. Suppose 8*y = b + 147. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2557381*j**4 - 3776823*j**2.\nAnswer: 61377144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 215264 = 28*k. Solve -k*d + d**2 - 21 - 21 + 6955*d = 0.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**3 - 7*h**2 + 6*h + 6. Let n = 3 - 0. What is the tens digit of d(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3588321 divided by -4?\nAnswer: 3588321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3 - 126775601*p**2 - 64193804*p wrt p?\nAnswer: 6*p - 253551202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2034 and 48.\nAnswer: 16272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 39\/586 (b) -4 (c) -2\/7 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 1. Let x(v) = 120*v + 2 + 9 + 9 - 6 - 136*v. What is 56*h(m) - 4*x(m)?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-72)\/(-27))\/((-2)\/(-3)). Suppose 0 = -z*t + h + 4 + 2, 3*h - 2 = 2*t. List the prime factors of 28\/(-3)*(-5 + t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(((sqrt(208) - (sqrt(208) + 0))**2 - (0 + sqrt(13))**2*-1) + -1).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44366489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - 0 - -6) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 451423961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7951, 9737, 11539, 13363, 15215, 17101, 19027?\nAnswer: 20999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/11)\/s*s)\/s*s*s)**(1\/20)*(s**(-2\/43))**22 assuming s is positive.\nAnswer: s**(-2248\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, -112, -4, 1\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/1 + -5 + 8\/4. Suppose -3*h - t*q = h - 706, 348 = 2*h - q. Suppose 3*m + 0*m + 147 = 4*b, -5*b - 5*m = -h. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 6*p**2 + 17*p + 9. Let d be g(-8). Let c(b) = b - 2. Let o be c(0). Let h be 4\/6 - o\/6. Is d != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*h + 251*h - 503*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, s: 4, v: 6, q: 1, r: 3, g: 5}. Give prob of sequence vrgy.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 376, 66, -280, -668, -1104?\n\"Answer: -o**3 - 12*o**2 - 267*o + 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1 (c) 0.5 (d) -67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g + 12. Suppose -3*j + 0*j - 27 = 0. Let i be z(j). Calculate the remainder when 1\/(-2 - i\/(-50)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470229 to the power of 1\/2, to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -16*j + 3 - 11 + 15 + 17 - j**2. Let y be s(-15). What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2631 + 2630. Which is the closest to -4? (a) 2604 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74042, -74294, -74550, -74810?\nAnswer: -75074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**9*a**8\/((a**(-1\/8)*a)\/a)*((a**(-4\/3)\/a)\/a**(-1))**(22\/9) assuming a is positive.\nAnswer: a**(2023\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13315*b - 3357 = -13521*b + 4059 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*p + 129*p + 5*p**2 - 2*p**3 - 68*p - 2*p**4 in the form m*p**4 + d + n*p**2 + k*p**3 + g*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58676509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25401, -4, 3\/5, 3 in decreasing order.\nAnswer: 25401, 3, 3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 37*q + 37*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 - -104.88. Which is the nearest to 2\/3? (a) 1\/6 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meme when four letters picked without replacement from {m: 3, e: 6, h: 2, j: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11334*s**3 - 9158*s**3 + 20494*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 29 - 14)*((2 + 1 - 2)*(-6*l - 2*l + 3*l) + 0*l + 2*l + 0*l).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2570 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**11*h*h*h*h\/(h**(-1\/13)\/h)*h)\/(h**28*h**(-35)) assuming h is positive.\nAnswer: h**(326\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-7) - 3\/(-10220)*-1467. Let r = 44557\/13140 + k. Calculate the common denominator of -21\/22 and r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*t - 4*t + 4, 0 = -2*t + 10. Find the first derivative of -8*h**3 - 10 - 10*h**3 + h**j wrt h.\nAnswer: -51*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 752 + -658. Find the second derivative of 2*a + 25 + 112*a**3 - 50*a**2 + l*a**3 - 205*a**3 wrt a.\nAnswer: 6*a - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 + 202. Suppose -7*i = -q*i + 224. What is the remainder when i is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2362, -1\/5, 3, 5, -2, 1\/14 in descending order.\nAnswer: 5, 3, 1\/14, -1\/5, -2, -2362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l - 81. Let p be h(-14). Let v be (1*(-884)\/12)\/(1\/(-3)). What is the greatest common factor of p and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/(-990))\/(20\/(-150)). What is the nearest to -0.2 in 0.5, r, -3\/59?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0461 + 4.9539. What is the second biggest value in a, 0.09, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9915 + 2180. Let z be (3553\/t - 3\/(-7))*5. Which is the nearest to -1\/4? (a) 0 (b) z (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2607261 - -183?\nAnswer: -2607067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -7*h + 20. Let z be h\/(-8) - (-190390)\/(-40). Round z to the nearest one hundred.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 368 - 1089. Let u = p + 715. Let g(k) = k - 1. Let y(v) = 2*v - 3. Let n(l) = 3*g(l) - y(l). Determine n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319528?\nAnswer: 2, 11, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w = 16667 - 827. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/v**(2\/11)))*v**(19\/3)*v)**41 assuming v is positive.\nAnswer: v**(12382\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o. Let g(x) be the second derivative of -x**3\/3 + 18*x. What is g(q(j))?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/22*1*60\/630*-7\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - (-4 + sqrt(72) + sqrt(72)*-3)) + sqrt(72) + (4*(sqrt(72)*-2 + sqrt(72)) - sqrt(72)))*-6)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 4*i + 4. Suppose -3*b = -4*b - 1. Let u be ((-8)\/6)\/(b\/(-3)). Let o be d(u). Solve -2*p = -o*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*k + 264*k - 98*k - 77*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 3. Let y be b(4). Let l = -3 - -8. Let q = y - l. What is the remainder when 7 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1053 - 556. Let w = -277 + o. What is the highest common divisor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 190, 378, 570, 766?\n\"Answer: 2*g**2 + 182*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2*o + 10 = 0, -4*o = -8*g - 251 + 215 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-12) - 38\/(-8). Suppose -2*w - n + 5 = -w, 4*n = 4*w + 20. Sort -3\/5, g, w in increasing order.\nAnswer: -3\/5, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j - 51*j + 11158 + 5954 = 0. Calculate the remainder when 439 is divided by j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2510.172ml to litres.\nAnswer: 2.510172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -60 + (1 - -1) + -3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1037016 divided by 6\nAnswer: 172836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*n + 614*n + 204*n + 513*n + 107730 = 0 for n.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 8:04 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*j - 80, 3*j + 6*h - 64 = 7*h. Calculate the lowest common multiple of j and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -g - f, -3*g - 7*f + 2*f - 20 = 0. What is the smallest value in 0.5, g, -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63, 139, 215, 291?\n\"Answer: 76*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4880426, 4880357, 4880290, 4880225, 4880162, 4880101?\n\"Answer: h**2 - 72*h + 4880497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16351797 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-20 + (-14 - -27) + 4 + 22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 15*u + 12. Give c(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -476 - -193777?\nAnswer: 193301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:23 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015891 rounded to 4 dps?\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**5\/20 + 3*q**2\/2 + q + 2. Let c(l) be the first derivative of s(l). What is the derivative of c(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1738, 797, -10 in ascending order.\nAnswer: -1738, -10, 5, 797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3. Let m(k) = 7*k**3 + 8*k**2 - 15*k + 7. Let r(n) = -m(n) + 6*p(n). Let g be r(-11). What is the common denominator of (4 - g\/48)*-10 and -97\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2929881 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674 = 126*o - 249 + 2941 + 288 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1377) + 2)*-5 - ((sqrt(1377) - (0 + sqrt(1377) + sqrt(1377)))*5 + -2*sqrt(1377) + sqrt(1377) + 3)**2.\nAnswer: -49616 + 279*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 460 + -201. Let m(t) = -t**3 - 23*t**2 + 47*t - 38. Let w be m(-25). What is the highest common factor of k and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 6*z**7\/7 + 4*z**3\/3 + 3. What is the third derivative of m(l) wrt l?\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -0.3. Suppose h - 49*h = -336. Suppose -h*j = -3*r + 38, -2*r = -r + j - 6. What is the biggest value in m, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 6*z - 1. What is v(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.10893 - -78?\nAnswer: 82.10893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**5\/5 - 4*c**4\/3 + 29*c**3\/3 - 52*c**2\/3 + 12*c + 737. Determine o so that h(o) = 0.\nAnswer: -9, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -143?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 108 - 30*p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 = 1. What is the units digit of -1*(2 + -18 + d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/((-40)\/(-9))*(-20)\/90. What is t in 16\/5*t + u*t**3 - 8\/5 - 2*t**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.19 + -0.9702?\nAnswer: 140.2198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 390\/60 - (-5)\/10. Let v(q) = 8*q - 3. Let u be v(2). Let j be 4\/10*(u + -3). Solve -j*n - t = 3*d - 2*d, -2*d + 13 = -n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 10567720?\nAnswer: -10567721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5.54, 3679.\nAnswer: -4, 5.54, 3679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = 33. Let h = 24 - 15. Calculate the remainder when g is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 1 = -3*s, -12*d + 4*d + 3*s = -41 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1851, -1855, -1869, -1899, -1951, -2031?\nAnswer: -2145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10)*2 + 36*(4123\/(-310) + 13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0 + 0*u + 0*u**3 - 1\/10*u**5 + 103*u**2 - 83\/24*u**4 - 1\/40*u**6. Find the second derivative of n(i) wrt i.\nAnswer: -18*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 7. Let h be d(-10). Let t be 21\/2 - h\/(-6). What is the highest common divisor of t and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 5*y - 8. Calculate f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*g = -g, -4*g + 17 = 5*y. Let r = -450 - -842. Let h = -389 + r. Solve y*v - h*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -5*y. Let i = y + 6. Suppose i = -3*z - 9, -z - 41 = -5*j + z. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-18) - 15 - 1\/(-3))*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*r + 235*r - 21*r.\nAnswer: 152*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 154 = 974. Suppose u + 178 = -11*t. What is the remainder when 132 is divided by t*(-4 - -3) + -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twrwsfd. Give prob of sequence ts.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 5*m**3\/3 - 3*m**2 + 3*m + 71. Let n(c) = 4*c**2 - 5*c + 3. Calculate 3*a(d) - 4*n(d).\nAnswer: -d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5113414, 5113416, 5113418, 5113420?\nAnswer: 5113422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5961.\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 75 - 4*p + 7*p. Let h be d(27). Which is smaller: 34 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)\/(((v**(4\/9)*v*v)\/v)\/v)*v**(-5\/4)*v*v**(-8))**(4\/17) assuming v is positive.\nAnswer: v**(-301\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 14. Let h(w) = w - 5. Let d(b) = -8*h(b) + 3*t(b). Let s be d(2). Solve s = 2*p + 3*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.032 + -54.868. Let j = -52.9 - u. What is the closest to 1 in 2\/11, 3.4, j, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7514991 + 5124991. What is h rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -25.6 (c) -0.2 (d) 5\/4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 112*g**2 + 2457*g + 250. Let x be a(82). Solve 0 = -5*f - 5*y, 7 = -2*f - x*y + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**7\/210 - n**5\/30 - 7*n**4\/8 + 4*n**2 + n. What is the third derivative of u(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 944188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 8526 = 8*j + 8598, 4*j - 3*j + 4*c = -84 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*o + 4. Let s(x) be the first derivative of -o + 0*x - 1\/2*x**2. What is s(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p**2 + 19*p + 1. Let s(o) = -3*o**3 + 10*o**2 - 78*o - 3. Give -11*f(g) - 3*s(g).\nAnswer: -2*g**3 - 19*g**2 + 25*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/5)\/h*((h\/(h**(-6)\/h))\/h*h)\/h)**(-14) assuming h is positive.\nAnswer: h**(-462\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**3 - 82*d**2 + 33*d + 54. Let u(z) = -7*z**3 + 200*z**2 - 83*z - 135. Let q(w) = -12*j(w) - 5*u(w). What is q(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -878, -1745, -2574, -3347, -4046?\n\"Answer: 3*d**3 + d**2 - 891*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197074 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/91 and -34\/343.\nAnswer: 4459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33774 divided by 78?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 3 (b) -31 (c) 0.3 (d) -963\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-17\/2))**(-6)*(h\/(h**(1\/16)\/h))\/(h**40*h) assuming h is positive.\nAnswer: h**(191\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -77 + 26. Let k = l + -11. What is the tens digit of 490\/k + 8\/12*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 55, 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2328*g - 2327*g = 13*i + 72, 34 = -4*i + 2*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2054 by 2.\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15)*(-16950 - 0). What is o rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/3022701 and -77\/34065?\nAnswer: 45340515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a = 15. Let t = -1 + 21. Solve -3*r = d + t, 4*d - 3*r = -0*r - a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)*((n*n**(-7)\/n)\/n)\/n*n*(n\/(n\/(n*n*(n*n\/(n\/n**(-3)))\/n))*n)**(-24) assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 47682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*p - 10 = 0, 10*a - 6*a + 5*p = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k - 4*k + 2*k)*(-30 - 20 - 2) + 0*k + 0*k + 2*k.\nAnswer: -310*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Let u = 1093 - 12035\/11. Is i != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3296 divided by 3296?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 81*w - 46 - 444. Solve -7*b = -8*b + 3*y - w, 0 = 2*b - 4*y + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 + 235. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 11. Suppose -10 = -5*i - 4*n, 4*i - n + 4*n - 9 = 0. Is 2 a factor of v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 0*q**2 + q**2. Let g(y) = 15*y**2. Give k(g(j)).\nAnswer: 450*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m - 2493 = -13395. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 2*m - 18. Determine l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 15*z + 49. Let w be j(11). Let s be ((-8 + w)\/9)\/(-1)*9. Solve 6 = -3*r - 3*m, 0 = 2*r + s*m + 3 - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68072 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152125 and 27625?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3529495*b**3 - 1762827*b**3 - 1766670*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.082 + 0.082. Which is the closest to 0? (a) -4 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*b + 734*b + 8253 = 405*b for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -70, -224, -524, -1018, -1754, -2780?\nAnswer: -4144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*j = -66, -4*z + 88 = -j - j. Let a(y) = 2*y**2 - 31*y + 16. Calculate the least common multiple of a(z) and 6.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1545 - -1100. Let j = 449 + q. Solve 2*a - r - 4 = 0, j*r - 1 = -2*a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9824 and 87634992?\nAnswer: 175269984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*h + 3*t, 0 = 5*h - 0*t - 3*t + 20. Let q = -555 - -555. Put -5, 1, q, h in increasing order.\nAnswer: -5, h, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -243 + 243 - 51*r**2 in the form a*r + c + p*r**2 and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -82232*a - 575664. Give z(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) - -6*sqrt(99)*2)) + (sqrt(99) - sqrt(99)*2*-4))\/(sqrt(81) - 4*sqrt(81)*-2).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 21*j**2 - 10*j**2 + 21*j**2 - 6*j**2. Let t = 12 - 6. Let l(n) = -t*n + 0*n + 3*n. Give l(m(o)).\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 10 + 7)*(358*g - 358*g - 62*g**2).\nAnswer: 186*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -74, -149, -252, -383, -542?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*p + 8. Let t(d) = 10*d - 4 - 14*d - 4 + d**p. What is the units digit of t(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2. Let i be j(-2). Let y = 1.8 + -0.7. Let r = y + -1. Which is the nearest to r? (a) i (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/394516 and 35\/116?\nAnswer: 394516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 27169603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2090891, -2090776, -2090585, -2090318?\n\"Answer: 38*q**2 + q - 2090930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4\/6 - 16611*t**3\/2 - 49831*t**2\/2 - 149491*t\/6 - 8305 = 0.\nAnswer: -49830, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 2, x: 1, r: 1}. Give prob of picking 1 j, 2 u, and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156785 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: Calculate the highest common divisor of 30 and 14030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -46812?\nAnswer: 46812.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**32\/m*m*m)\/(m*m\/(m*m**(-2\/39))))\/(m**(-11)\/m*m)**(-15) assuming m is positive.\nAnswer: m**(-5150\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 331*c**5*j - 3*c**3*j**2 - 72*c**2 + 4*c*j**2 wrt c?\nAnswer: 19860*c**2*j - 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 6, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 328231 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 300*n + 891. Let z be d(-3). Let x(v) = -12*v + 0 + 0 - 6*v**2 + 5*v**2. Does 9 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) -9\/4 (c) -0.3 (d) 1\/11 (e) 10 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -949 divided by -32\nAnswer: 949\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, h: 1, v: 2, n: 1, i: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 706.8872ml in litres?\nAnswer: 0.7068872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 403195861*p**4 + 272693561 wrt p.\nAnswer: 1612783444*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1909681 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 633660 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -60. Let t(j) = -10*j**4 + 4*j**3 + 14*j**2 + 6*j. Let a(w) = -9*w**4 + 4*w**3 + 13*w**2 + 5*w. Let b(c) = y*a(c) + 5*t(c). Factor b(r).\nAnswer: 4*r**2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11654733347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 1. Let d be y(0). Let o = 0.003 - 7.003. Let j = 2 + o. What is the nearest to 1 in d, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 - 3604*w + 2241*w + 1363*w.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -235 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -619234*m**3 - 13*m**2 + 6448.\nAnswer: -3715404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-712)\/20 - -38)*(-20)\/(-54)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*f - 262 = 137*u, -5*f - 12*u + 19 = 9*u - 23*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6250094429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-20)\/(-5)*-1 - (31 - 28). Let y(k) be the first derivative of 2\/3*k**3 - 3\/4*k**2 - 4 + o*k - 1\/8*k**4. Suppose y(z) = 0. What is z?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.82225 to 1 dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 23. Let h(p) = p + 1. Let i(j) = -5*j - 5. Calculate v*i(c) + 4*h(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 12*v**2 + 6. Let b be l(-12). Suppose -4*j = -2*h - b*j + 2, 4*j = -2*h - 6. Let s = h + -2. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -986\/171 + 11297\/684. Find j, given that 1849\/8 + l*j + 1\/8*j**2 = 0.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 508, 504, 498, 490, 480?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -5*l**4 + 4*l - 13*l**2 + 12 + 13*l**2 - 2. Find the first derivative of z(j) wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -5. Let g be (-5 + (-1 - l))\/(-1). Solve -3*b - g = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402 (base 5) to base 2.\nAnswer: -1100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -1188 (b) 5 (c) 0.3 (d) 4 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2808 + 613 = -5*x, 3*h + 1737 = 4*x. Suppose -18*o = -24*o - x. Which is smaller: o or -71?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1172, 4688, 10548, 18752, 29300, 42192?\n\"Answer: 1172*x**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3024 and 10371753?\nAnswer: 165948048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22, 2, -3, -24012 in descending order.\nAnswer: 22, 5, 2, -3, -24012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -5*z. Let y(k) = 55*k + 13. Let u be y(10). Suppose z = -5*c + 522 + u. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -2*q**5 + 5*q**3\/6 + 5*q**2\/2 - 129*q. What are the prime factors of m(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 50. Let m be 6 - 4*(-12)\/l. Suppose 0 = -5*k + 3*a - 5641, 5*k + a - m*a + 5644 = 0. What is k rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1080 and 187\/2700?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v + a - 239041 + 238970, -5*a = 5*v - 55 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(12\/11)*j)\/j**(1\/14)*j**(2\/3)\/(j*j*j\/(j\/(j*j\/j**3))))**(-6\/19) assuming j is positive.\nAnswer: j**(-233\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 c, and 1 d when three letters picked without replacement from fcfckdffkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 928671 and 201885?\nAnswer: 4643355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 16. Suppose 18 = -a + 2*a. Let j = a + f. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-2\/7)*u)**39)**(-2\/57)\/((u**(2\/9))**23)**7 assuming u is positive.\nAnswer: u**(-2488\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -134*m + 68*m. Solve f = -v + 6, -6*v + 2 = -5*f - m*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r + 2, 3*r = s - 119. Is s a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*x - 478*d**2 + 346*d*x + 1 wrt x?\nAnswer: d**2 + 346*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 51 = 3*d + 17, -5*d + p = -72. Let g be ((-36)\/d)\/(6\/(-28)). What is the greatest common divisor of 96 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 303678840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 0*u - 2*u)*(-3*u + 2*u + 0*u) - 2*u**2 - u - 3*u**2 + 3*u**2 as b + c*u**2 + k*u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15437 bigger than -15438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282 (base 13) to base 5.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 7*j**2 - 8*j + 4. Let z be v(-8). Let k be ((-1454)\/(-28))\/(2\/z). Let r = -103 + k. Is 2 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b**3 - 4*b**2 - 4. Let p(d) = 16*d**3 - 5*d**2 - 5. Determine -4*p(m) + 5*r(m).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -540*n + 280 + 181*n + 180*n + n**3 + 178*n as y*n + t + v*n**3 + q*n**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*m**4 - 68684*m**3 - 2636650*m**2?\nAnswer: -840*m - 412104","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8467 (b) -7 (c) -19 (d) -3 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 0 + 66\/8*152\/102\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 5*f + 2. Let v be d(-4). Let t(i) = -i + 1. Let p(n) = 6*n**2 - 6*n + 11. Let l(m) = v*t(m) - p(m). What is the derivative of l(a) wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3 - 6*k - 23 + 75*k - 10. List the prime factors of n(7).\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(242) + (sqrt(242) - (-2 + 2 + sqrt(242))) + sqrt(242) + sqrt(242))**2 + 4 + (sqrt(242)*2*5)**2)*4.\nAnswer: 105536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -19*y**7\/21 + 11*y**4\/3 - 19*y + 95. Let z(v) be the first derivative of i(v). What is the third derivative of z(j) wrt j?\nAnswer: -2280*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -234, -72, 376, 1254, 2706, 4876?\n\"Answer: 24*m**3 - m**2 - 3*m - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 10. Let z(d) = -2*d**2 - 6. Let f(b) = -17*b - 99. Let k be f(-6). Let g(j) = k*l(j) + 5*z(j). Let q(c) = -26*c**2. What is q(g(n))?\nAnswer: -650*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = 0. Suppose w = r + 1 + 2. Sort r, -2, 0.\nAnswer: r, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-24))\/((-8)\/(-48)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/5 - (191\/110 + -1) and 4\/14 - 578\/(-84).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g + 1. Calculate r(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -11*i + 19. Suppose 4 = -i*j - 0*j. Which is bigger: j or -2\/85?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 8*i**2 + 5*i + 23. Let u be b(-8). Let v = u + 73. Let k = v - 49. Solve w + 2 = k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 315, 649, 1007, 1395, 1819?\n\"Answer: m**3 + 6*m**2 + 309*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -227 and 0.00331.\nAnswer: -226.99669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 - 10)*(1 - 1 - 2)*(-99*d**4 + 48*d**4 + 74*d**4) to the form t + m*d**4 + b*d + s*d**2 + w*d**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 9:03 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661277517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0542486 minus -56?\nAnswer: 55.9457514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(63\/2)\/(-7). Solve 3*a = -0*a + p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 6*x**2 + 3*x + 6. Let p be y(6). Suppose t + p = -3*t. Let q(u) = -u - 3. List the prime factors of q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/42 + (-760)\/(-2709). Let w = a - -88\/387. Let 4\/9*r**3 + 0 + 2\/9*r**4 + 0*r + w*r**2 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/20, 5, -2, -4.87, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 3:17 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1. Let z(a) = -3*a - 8. Let s(c) = -c. Let p(x) = -4*s(x) + z(x). Determine 2*p(g) - 14*u(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -40, 20, 154, 386, 740?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 - 68*a**2\/5 - 314*a - 300.\nAnswer: 2*(a - 50)*(a + 1)*(a + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-92)\/(-140) - 1 - 1\/(-5). Which is the nearest to z? (a) -3 (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = n - 2, -1 + 5 = -2*y + 2*n. Let x be y*(7\/(-2) + 3). Suppose 2*l = -x*l. Solve a = -l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4403.3 + 4088. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 1\/13, 0.027?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = 0, d + 4 - 83 = 5*c. What are the prime factors of d?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**2 - i + 4. Let q be m(-3). Suppose 0*x = 4*p + x - 88, 4*p - 3*x - q = 0. Let o = p - -1. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90781111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/(138\/(-873079816)). Suppose -3*f = -h - 5694002, r = 6*f - f + h. What is f rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -1, 1, 0.\nAnswer: -90, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3394 - 9129 + 3183)*(-14 + 7*l**3 + 14).\nAnswer: -17864*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 39*g**2 + 143*g + 339. What is h(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-four fifths of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 441865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36102951.\nAnswer: 3, 17, 235967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gagggaa. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1584) - (sqrt(1584) - (2 + sqrt(1584) + sqrt(1584)))*-6 - (3 + (0 + sqrt(1584) + sqrt(1584) - sqrt(1584))))**2*-2.\nAnswer: 17280*sqrt(11) + 457992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 1696, 3821, 6796, 10621, 15296?\nAnswer: 20821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*i + 4*l, -43 = -4*i - l + 2*l. Let y = i - -68. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 124*m - 608. Calculate x(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3 + 3*z**2 - 7*z**2 to the form o*z + p + h*z**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**3 + 16*u**2 + 81*u - 5421. Calculate m(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(2\/11)*s)*s*s\/(s**(-2)\/s)*s**(-5)\/(s**(-6)\/s) assuming s is positive.\nAnswer: s**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -15*l - 184. Give x(-20).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:00 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001515922903 to 7 dps.\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 891, 3232, 7789, 15300, 26503?\n\"Answer: 123*p**3 + p**2 - p - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 69 + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 559307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(4 - (-2 + 7)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2)*4)\/((sqrt(6) + -2*sqrt(6))*3))\/(sqrt(288) + sqrt(2)*-2*4).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -15*s + 389 - 12 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*((-3)\/6)\/(-1). Let a be y\/(-6)*(-5)\/(-60). Is a at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2429 + 7349\/3. Find the common denominator of -52\/53 and j.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.045 + -0.04499947. What is f rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/(-30) + 7)\/(-1 + 99\/45).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -24 - (-2 + 5)) + (7 - 8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 531729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 49329*c + 24667*c + 24654*c.\nAnswer: -8*c + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.187 + 0.24. Let g = p + 0.947. Sort 2\/3, g, -2\/39 in increasing order.\nAnswer: -2\/39, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20289 is divided by 1445?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 714 + 816 = 0. Suppose 6*t + 0*t = o. Let x = -2037\/8 + t. Sort x, -2\/3, -1.\nAnswer: -1, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12808750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {x: 3, f: 4, t: 1, c: 2, e: 1, g: 7}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11768 - -11827. Solve -378 = -k*b + 101*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/12 - 6*k. Let o(u) = u**2 + u. Let q(a) = -a**2 - 2*a. Let y(w) = -2*o(w) - q(w). Give y(r(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4059900 is divided by 213678.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1497, 1354, 1145, 894, 625, 362, 129, -50?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 p, and 1 q when four letters picked without replacement from jprqcppqqc?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-31)\/868*12\/(-345)*-5\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 421 + -286. Let s = 87 + -53. What is the remainder when r is divided by s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12023300 (base 5) to base 4.\nAnswer: -123013203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66256752?\nAnswer: 2, 3, 17, 81197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 471*x - 72 + 472*x)*(-4 + 12 - 3) as f + y*x and give f.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -73*a**2 + 2*a + 3. Let g(z) = -71*z**2 + z + 2. Give 4*g(k) - 3*s(k).\nAnswer: -65*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v - 18 = -33*v. Which is the closest to -1? (a) v (b) 5 (c) -6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 891273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = -40*k + 136 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 422, 611, 800, 989?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46, -108, -170, -232, -294?\n\"Answer: -62*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 131. Let a be o(20). Let f be ((-123)\/a + 2)*(-34 - -33). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 2714.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5447272822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 6:02 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -5046478?\nAnswer: 15\/5046478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 14. Let k be t(9). Calculate the highest common divisor of 91 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 5*j = 15, 10*l - 20 - 15 = 2*j - 41 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6) + 14 + -6 + -18 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/11 + 430*v**2\/11 - 14857*v\/11 - 15288\/11.\nAnswer: -(v - 392)*(v - 39)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (0 + 1 + 0). Let q be (2 + (-3 - 0))*-3. Suppose -i*x - 2*x - q*b + 1579 = 0, 0 = 3*x - 3*b - 933. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216522 and 168406.\nAnswer: 1515654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 44. What is the closest to p in -5, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -8. Let u = q - 5. Suppose -5*v - u = 0, j - 4*v - 3 = -3*v. Solve 2*n - j = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/3 + 104*m**2 - 5412*m = 0 for m.\nAnswer: 0, 66, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9643 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*d - 68, 34 = 2*d - 404*n + 561*n for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1416, -547, 332, 1227, 2144?\nAnswer: 3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 17*c**3 + 2*c**2 - c + 1. List the prime factors of j(2).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 48. Which is the third smallest value? (a) i (b) 0.5 (c) 4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14171, -24779, -42459, -67211, -99035?\nAnswer: -137931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 15. Let f be 92\/12 + -1*25\/15. What is l(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9331\/130 - 1811501\/25220. Find the common denominator of 101\/2 and u.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6533, 13066, 19599, 26132?\nAnswer: 32665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + 574\/6. Suppose y - 300 = -6*q. Calculate the lowest common multiple of 12 and q.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**3 + 19*t**3 - 39*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175*h**3*m**3 - 6*h**3*m + 7*h**2*m**3 - 50*h*m wrt h?\nAnswer: 1050*m**3 - 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {s: 1, e: 1, c: 1, w: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m - 7*m = 0. Suppose 4*i = -3*w - 4 + 6, m = -4*w - 2*i + 6. Solve 0 = 4*j - w*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173715 by 313.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 36 = 4*c - 0, -3*c + 29 = 2*u. Let t be 3 + -2 - (-64 + 0). Suppose c*g = t - 10. Solve -4*i + 4 = 4*x, 2*x - 15 = 4*i + g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h**2 + 9*h**2 + 8*h**2 + 14*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*9693441.9.\nAnswer: 29080325.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - 79*n + 1021. Determine r(27).\nAnswer: 2533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*8*105\/(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289343926.\nAnswer: 2, 1867, 77489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/16)\/(52\/(-288)*-9)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228925 or -228905?\nAnswer: -228905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -403.5 from 1.47.\nAnswer: 404.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -1 + (2 - 2). Suppose 2*p - i - i + 20 = 0, -4*i + 20 = -2*p. Let s be 33\/(-55) + (-126)\/p. Solve s = 4*o - a, 4*a + l = -5*o + a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3632378006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -1)*(21 - -1). Let y = -30 - q. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*r - 25*r**3 - 7*r**3 + 131*r.\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.042015 - 38.878985. Let q = z + -0.079. Let g = 37 + q. Which is greater: g or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-12) + 24\/48. Determine z, given that -1\/3*z**2 - 1\/3*z + 0 + t*z**3 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*k - 4*k. Let c = -31 + 36. Suppose y - 5*z = k*y - 30, 3*z + 66 = c*y. Solve y = -3*n + 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 177035790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(3\/(-126)). Suppose b - 6*b = 5*n - 30, 4*n = -5*b + z. Suppose -38 = -4*k - s, -n*s + s = 5*k - 48. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microgram in nanograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -3 + (4 - -20) - (0 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 14 + 16. Suppose 0 = r*p + 437 + 307. Is p*2*(-3)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2850428.5 to the nearest one thousand.\nAnswer: 2850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b31 - 1?\nAnswer: 2b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 - 4*h - 3. Let q(g) = 3 + 9*g + 53*g**2 + 4 - 42*g**2. Let c(i) = i**2 - 6*i + 2. Let u be c(5). Calculate u*q(t) - 7*o(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -72 + 21. Solve 2*a + 11 - j = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*k + 900, k + 2*o + 2*o - 156 = 0. Let t = 681 - 659. What is the highest common divisor of t and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 2*p**3\/3 - p**2\/2 - 2*p. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/9)\/n)\/n)**(-1\/43)*(n**(-3\/4))**(-32) assuming n is positive.\nAnswer: n**(9304\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18300 and 1020?\nAnswer: 311100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4501*i*u**2 - 7*i*u + i + 2*u + 4 wrt u?\nAnswer: 9002*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -85*z - 413. Determine f(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s - 17 - 12*s + 16 - 5*s**4 + 5*s to u*s**2 + k*s**3 + f + l*s + a*s**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 107736 = -5*q - 1413626, 3*q = -3*p - 1305894. Round p to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Suppose -r*u + 2 = 7. Let g(j) = -12*j**3 + j**2 - 2*j - 2. What are the prime factors of g(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26721 divided by 1274?\nAnswer: -26721\/1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 6*q - 6*q)*(-q + 2*q**2 + q) - 965*q**3 + 361*q**3 + 295*q**3 + (-3*q**2 + 2*q**2 + 0*q**2)*(-2*q + 0 + 0).\nAnswer: -335*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8534851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0 - 1 + 7 - 1 - 5 + 10 - 20 + (0 + 1 - 3)*(-2 + 1 + 3))*(-w**3 - 2*w**3 + w**3).\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 25, 13, -3?\n\"Answer: -2*x**2 - 2*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + -1 + sqrt(605))*-2)**2.\nAnswer: -6336*sqrt(5) + 87696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 89620 - a?\nAnswer: 89615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11188\/31 or -362?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 947 + -934. Let u be (-4)\/((-12)\/(-9))*-2. Suppose 0 = 4*d - 42 - u. Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 5. Let f be l(8). Suppose f*w = -2*y - 2*w + 28, 2*y - 4*w - 10 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.498842 + -99.5\nAnswer: -99.998842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3\/5 (b) -5\/7 (c) -2 (d) 1 (e) -1\/3468\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/2 (b) -0.02 (c) 1\/3 (d) 3 (e) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = 220. Let s(t) = -135*t. Let d(b) = 5*b. Let k(z) = f*d(z) - 2*s(z). Let j(o) be the first derivative of o**2 - 1. Calculate k(j(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 2, 1 in descending order.\nAnswer: 13, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152.168 + -152. Let c = 6.832 + o. Sort -4\/7, c, -2\/7, 10 in ascending order.\nAnswer: -4\/7, -2\/7, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**5\/8 + 13*f**4\/4 + f**3\/4 - 13*f**2\/2 - f\/8 + 13\/4 = 0?\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + -4.88. Let u = 0.0395 + 414.9605. Let q = -415.2 + u. Which is the second smallest value? (a) 0.18 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5*o - m**3*o + 27*m**2*o + 2*m**2 - 2107*m*o wrt m.\nAnswer: -40*m**3*o - 6*m*o + 54*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 7*u**2 + u + 13. What is a(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 8:45 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 68. Give r(-19).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044445 rounded to 5 dps?\nAnswer: 0.00444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -3 + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/8)\/g*g)\/g*g\/g**(-11) assuming g is positive.\nAnswer: g**(89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11\/2*b**3 - 12*b**2 - 1\/2*b**4 + 16 = 0. Calculate b.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n - 7 - 117*n**2 + 10 + 2*n.\nAnswer: -117*n**2 + 20*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*((sqrt(243) + 1)*5 + 4 + 0 + sqrt(243)))**2.\nAnswer: 78732*sqrt(3) + 715149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.1 + 10. Suppose s - 5*s + 4 = 0. Let z = 3.8 + -3.5. What is the second smallest value in z, n, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*m - 3 - 4, 5*r + 5*m - 15 = 0. Is (-1)\/r + 2781\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2201*h - 101263. What is g(46)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*o = 324*o + 69*o - 72062 for o.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(55\/86) + 281 + -273\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 8 (c) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(11)*-1)**2 + 1) + (1 + sqrt(891) - (sqrt(891) + 0)**2).\nAnswer: -878 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 11*q**2 + 7*q + 65. Let j be h(12). Suppose -4*o + 19 = -p - 9*o, -j*p - 149 = -2*o. Is -30 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 5*r**2 - 3*r + 1. Let i(l) = -3*l - 4. Let d be i(-3). Let n = -2 + d. Is m(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from dvycdymyyddddyydyhdd?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-323)\/646)\/(1*(13\/264)\/13).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23 and 13317?\nAnswer: 13317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(sqrt(5445) + sqrt(5445) + -3) - (3 + sqrt(5445))*-6)**2.\nAnswer: 3168*sqrt(5) + 22357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15521459441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 24*b + 66. Let w be o(-18). Calculate the common denominator of -71\/18 and w\/(-7)*-38*(-5)\/(-160).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/5 + 116778014*g\/5 - 116778016\/5 = 0. Calculate g.\nAnswer: -58389008, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -5 + 7 - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/6)\/(-5)*0. Let i = -0.197 - 82.803. Let q = i - -82.8. Which is the closest to 2\/3? (a) q (b) -8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*u - 7*u. Let g be 2\/((80\/75)\/u). Let s be (-5 - -60)*(-18)\/g. What is the greatest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 27 - 24)*(45*l**3 - 113*l**3 + 50*l**3 + l**5).\nAnswer: 14*l**5 - 252*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17670 and 4860.\nAnswer: 2862540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + f**5 - f**5 + (2 - 3 - 1)*(3*f**5 - 3*f**5 + 2*f**5) - 4*f**5 + 0*f**5 + 0*f**5 + f**5 + 5*f**5 - 2*f**5.\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypa when three letters picked without replacement from ddoadppyoo.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221399\/24 + -9223. Suppose -17 - 5 = -11*m. Calculate the common denominator of (m + 7\/(-3))\/(12\/(-1206)) and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -27.1. What is the closest to 1 in q, 3\/4, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333805 and 54035.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*g = -271*g + 15272 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = 8*r. Suppose r = 11*w - 11820 - 5615. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 - 1848\/(-36). Let k = 58 - w. Let i(n) = 25*n - 34. Is i(k) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*y + 1396, 2*u - 4*y = 135 + 573. Is u a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 56 = 12*q, -4*x - 387 + 409 = -2*q. Determine j so that -6\/5*j + 2\/5*j**2 - x = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/((-1)\/18). Suppose g + 13 = -m - 2*m, y = -4*m - 3*g. List the prime factors of 4 + m + 0 + 11.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 204, 305?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (-6)\/(-18)*(-2 + 17). Which is smaller: l or -0.397?\nAnswer: -0.397","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4263555 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:35 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/11 + 52\/55. Let x(i) be the first derivative of 0*i**2 + 0*i + k*i**5 - 2\/3*i**3 - 2 + 0*i**4. Find the third derivative of x(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 6*s**2 + 5*s**2. Let c = 8 + -6. Let t(i) = 3*i**c - i**2 + i**2. Determine t(w(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.5, -0.5, 4, 2\/59, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -69?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 727113840 by -4.\nAnswer: -181778460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j - 3*j - 2*j)*(-2 - 1 + 1)*(2 + 22 - 1)*(-3*j + 0*j + j) to the form v + y*j + k*j**2 and give k.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48775484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 + 50120*b**4 + 2974785*b**3 - 3024900*b**2 = 0.\nAnswer: -60, 0, 1, 10083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/14)\/((-1)\/(-7)). Suppose -4*i = -9*i + 170. What are the prime factors of i\/8 - h\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222001322212 (base 4) in base 15?\nAnswer: -e79864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 14 + 18 = 0. Let r(o) = c*o**3 - 3*o - 6 - 2 + 5. Let z(q) = q**3 - 2*q - 2. Determine -2*r(h) + 3*z(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37170?\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (7 - 3)) + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*y**4 + 4*y**3 - 2*y**2 + 48*y wrt y?\nAnswer: -960*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20355491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*r + 34 + 0 = 0, 0 = -f + 5*r + 20. Let w = -11 - -17. Let i = f + w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5965, 23199, 51871, 91939, 143361?\n\"Answer: -7*t**3 + 5761*t**2 + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - (-21336)\/576*1\/7 and -45\/104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101809 is divided by 988.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:39 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 495435693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 6, b: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00114826953 to seven dps.\nAnswer: -0.0011483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 14) to base 2.\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 41. Let h = s - 21.02. What is the smallest value in 0.3, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41084.33 and -302.\nAnswer: -41386.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 2*l + 4. Let c be (20\/(-15))\/((-2)\/(-9)). Let w be a(c). Suppose 0 = -0*r + 2*r - w. 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 cube root of 231745 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5485859 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100000111101 + -10010?\nAnswer: -100010100001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -4*j, -5*j + h + 5 = -1. Let a(o) = 34*o - 65. What is the remainder when a(2) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2384736 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 0*n - 10 + 5 + 6*n - 15. What is the remainder when j(-9) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -6.4. Let i = g - 10. Which is the closest to 1\/2? (a) -1 (b) -2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12952 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/17 - 8366*d\/17 = 0. Calculate d.\nAnswer: -4183, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (402*c**2 - 1660 + 1660)*(c - c - c) + (-1 + 1 - c)*(0 + c**2 + 0) - 2*c**3 - 4*c + 4*c to t*c**3 + b*c + y + i*c**2 and give t.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3133*y + 5. Let o(b) = 5*b. Give g(o(a)).\nAnswer: 15665*a + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p. Let h(j) = -2002254*j**2 - j. Determine d(h(t)).\nAnswer: 16018032*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23565 is divided by 10686?\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2273594138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -5*w**4\/24 + w**3\/3 + 3*w**2. Let l be v(3). Let r(t) = 3*t - 92. Let a be r(32). Put 0, 5, l, a in decreasing order.\nAnswer: 5, a, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(968) + 0 + sqrt(968) + 5).\nAnswer: -132*sqrt(2) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/10)\/12*5*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20230141 (base 5) to base 11.\nAnswer: -102594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-96)*-6)\/((-21)\/60)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -292032 (base 13) in base 10?\nAnswer: -1004070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1976*u**3 - 345 - 348 - 453 + 1151 in the form r*u**2 + m*u + o*u**3 + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - 2*i - 22. What are the prime factors of f(7)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*t = -76*t - 110. Put 2\/13, -5, t, 0.6 in ascending order.\nAnswer: -5, 2\/13, 0.6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2192991, -4385984, -6578977, -8771970?\n\"Answer: -2192993*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 231141243 (base 5) to base 9\nAnswer: 1850533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 - 57 - 27*g + 55 - 3*g - g**4 in the form o*g**2 + q + u*g**4 + s*g**3 + p*g and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -55. Suppose -2*x + 84 = 2*l, 7*x - n*x - 5*l = 195. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 253.4 from -7868.\nAnswer: -8121.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4\/11 - 966*a**3\/11 - 102262*a**2\/11 + 3637830*a\/11 + 16126200\/11 = 0?\nAnswer: -255, -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -20*8\/(3 + -2 + -2). Let k = 321 - h. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 26)*((-539)\/14)\/11. Let m = x - -179. Suppose -m - 44 = -4*b. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5\/6 (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -104353994*o**2 + 9920980 wrt o.\nAnswer: -208707988*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.64*9.304.\nAnswer: -43.17056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2. Let k(v) be the second derivative of -v**4\/6 + 9*v**2 - 14*v - 20. What is k(c(d))?\nAnswer: -18*d**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7379067 by 1.\nAnswer: 7379067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3)*(-4 + 3) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 19*m = -144. What is the tens digit of (-10)\/(m + (-1904)\/316)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**2 - 800*u + 6876 = 0.\nAnswer: 9, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3596.991g in tonnes?\nAnswer: 0.003596991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + -2*sqrt(7))*-3)**2*-4 - (2*(-2*1*sqrt(700) + sqrt(700)))**2) + -5.\nAnswer: -4713 + 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105993.\nAnswer: 7, 157999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7277\/563 smaller than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/((-49)\/(-7)))\/(0 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 2*g**2 - g + 5. Let f be q(0). Suppose 0 = -f*x - 3*x + 8. Solve -x = c - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from umvxxvdf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37563.13 millennia to centuries.\nAnswer: 375631.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-34))\/((-3)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 1, v: 3, h: 3, r: 3}. Give prob of sequence rpv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (12 - (-16 + 16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 + (-1 - 4) + -6) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1651195*x**2 - 9*x - 9. Let b be u(-1). Is (-12)\/(-22) - b\/209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3\/11 - 772*m**2\/11 - 17054*m\/11 - 1480 = 0.\nAnswer: -20, -1, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 98 + 19. What is the greatest common divisor of l and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w - 40. Let f be u(7). Let p be f\/(162\/(-58)) - -3. Which is the smallest value? (a) -2\/7 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7219199*q + 5890 = -7219104*q for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60202635?\nAnswer: 3, 5, 739, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -11. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114.77 and -0.2.\nAnswer: 22.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(12\/10)*2. Let w(u) be the second derivative of -u**3\/6 - 6*u. Let g be w(0). Put g, t, 1 in descending order.\nAnswer: 1, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, -936, -1383, -1814, -2223, -2604, -2951?\nAnswer: -3258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 19681*p**2 - 19684*p**2 + 45.\nAnswer: -3*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 80 = -p, -2*q = -5*p - 5*q + 466. Suppose -3*h + 55 = f, -2*h = -4*f - 7*h + 206. Calculate the remainder when p is divided by f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)**(-1\/49))**(-49) assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25425265 a multiple of 641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 19 (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27aca (base 15) to base 5\nAnswer: 13033230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m*u**3 - 2*m*u - 733*u**6 - 207*u**2 + 4*u wrt u?\nAnswer: -12*m - 87960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -18 (c) -0.2 (d) -2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(520\/32)\/(-2*(-15)\/20).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56271941*h**5 - h**4 - 149*h - 143826?\nAnswer: -1125438820*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 3734*l**2 + 1625545*l + 188879412 = 0.\nAnswer: -3252, -241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**3 + 43*q - 1. Let y(o) = -3*o**3 - 22*o. Let d(f) = 4*c(f) + 7*y(f). What are the prime factors of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3922 divided by -5\nAnswer: 3922\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*(-30)\/(-175)*10\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmjnzzjcmmimnmj. What is prob of sequence zzn?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:39 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + h = -3*w + 4, -w - 4*h + 13 = 0. Let r(i) = w - 1 + i**2 - 3*i**2 + 12 - 39*i. What is the units digit of r(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63 to the nearest integer.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118*a**4*x - a**3*x + 1122*x wrt a?\nAnswer: -472*a**3*x - 3*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 70, 66, 66, 76, 102, 150, 226, 336?\n\"Answer: x**3 - 4*x**2 + x + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 593015830 to the nearest integer?\nAnswer: 24352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -4*d - 1\/12*d**4 + 0 - 1\/2*d**2 + 1\/2*d**3. Suppose -3*p + 1 = w, 3*p = -3 - 0. Calculate i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -19, -1, 3 in decreasing order.\nAnswer: 9, 3, -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (3*3*sqrt(22) - sqrt(22)))\/sqrt(2).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**3 + 232*x**2 - 238*x + 6. Give h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -129*p - 42. Let w be g(-2). Let q be (-7)\/(2 + 198\/(-98)). Let l = q - w. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 288\/(-20)*(-70)\/42. Suppose 21*x + 6 = c*x, 2*x = -n + 134. What is the remainder when n is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/21, 0.09, 0.03, 0.18, -0.04?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 107, 83, 37, -37, -145, -293, -487, -733?\n\"Answer: -h**3 - 5*h**2 - 2*h + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86350\/13816*12\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -39827*m. Let f(h) = 2*h**2. Give f(g(y)).\nAnswer: 3172379858*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -181 (c) 52 (d) -2 (e) -6\/11 (f) -2\/3 (g) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 150 = 3*r, 16284*r - 16296*r = o + 627 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 (base 10) in base 3?\nAnswer: -122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*((-72)\/(-8))\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (5*sqrt(156) + sqrt(156) + sqrt(156))*2)\/(5*-1*sqrt(12)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 3013472?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -236902 (base 11) in base 15?\nAnswer: -7621c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*m**4 + 7322596*m**3 - 7615604*m**2 + 292908*m = 0.\nAnswer: -73227, 0, 1\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(0\/(-2) + 4\/10). Let j = 2.5 - 3. What is the nearest to 0.1 in j, 1, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = -15, -5*l - 4*w = -3962. Let k = -517 + l. Let i = 516 - k. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/374*2\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z + 4. Suppose 44 = -6*r + 26. What is the remainder when c(10) is divided by 30*((-34)\/(-10) + r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + o)*(-39*o**4 - 3*o**4 - 3*o**4) - o**5 + 4*o**5 - 5*o**5.\nAnswer: -47*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 4*n - 9. Let v(m) = -6*m**2 + 9*m + 19. Suppose -4*a + 3*z - 1 = 0, 20*a - z + 7 = 17*a. Determine a*v(x) - 9*g(x).\nAnswer: -3*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.9. Let s = p + 0.1. Let t = -2\/283 - -576\/1415. Which is the second smallest value? (a) -2\/7 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h - 4. Let q be r(-1). Let v(u) = 2*u + 1 - 6*u + 3*u. Determine v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50 + 1595?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 + 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006805500.\nAnswer: 2, 5, 59, 34129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 - -156. Let x = h - 26. What is the remainder when x is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150 + 197. Let l = -71\/354 - -2\/59. Let g = 11 + l. What is the common denominator of g and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 35*t - 1045. Let l be q(30). Let p = -0.09 - 3.91. Which is the nearest to p? (a) 1\/5 (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091 + 1021 = -63*d + 600 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -101, -152, -203, -254, -305?\n\"Answer: -51*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*236\/(-100) - 2\/(-5). Solve -3*z - 3*c + f = 0, 0*c - 3*c + 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2 = 5*d - 2*h, -3*d - 10 = -4*h. Let y be 50\/(-8)*-4*1. Solve 0 = -5*f + 5*a - y, 0*a = -d*f + 4*a - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68844\/241 or -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316399610?\nAnswer: 2, 5, 31639961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -152340*j + 1371060. Determine r(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5784357*f**3 + 18*f**2*y**2 - 67*f*y**2 + f*y + 92453*y wrt f?\nAnswer: -34706142*f + 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 5. Let h(p) = -y*p + 10*p - 7 + p**3 - 2*p + 5*p**2. Determine h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-24) assuming l is positive.\nAnswer: l**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54427356 smaller than 54427356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139 + 74*v - 138 + 2*v**2 - 2*v**3 + 0*v**3 + 0*v**2 to the form o*v + m*v**3 + z*v**2 + j and give o.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuy when three letters picked without replacement from {y: 5, w: 3, u: 3, l: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {s: 1, a: 2, f: 2, z: 1, d: 2, g: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 0.3, -3.244343 in descending order.\nAnswer: 2.1, 0.3, -3.244343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10 + 10*j**2 + 4 + j**3 + 0*j - 2*j**3 + j. Let n be t(10). Solve s = -n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 116, 222, 340, 470, 612, 766?\n\"Answer: 6*v**2 + 76*v - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004269526 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5 - 3 = 0. Let x = -898 + 928. Suppose 2*j - 114 = -3*g, -a*j - 176 = -5*g + x. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 - 5*v - 24. Calculate b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6.08. Let s = 1.48 - r. Let q = s - 1.1. Which is the second smallest value? (a) -4\/7 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*m = 6, 526*b - 529*b + 15*m + 30 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 30*l**2 - 676*l - 297. Determine u(23).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/627, 777, -1\/2 in decreasing order.\nAnswer: 777, 1\/627, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + c - 1. Let x = -14 - -12. Give z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*f + 6 = 0, -2*n + 8 + 12 = 4*f. Solve -n*g - 12 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21232 by -2654.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 9*l - 19*l. Solve 25 = 3*q - 5*a, 4*q + 0*a + l*a - 12 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143508415 a multiple of 2515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/13 - 154772*n\/13 - 31812310\/13 = 0.\nAnswer: -205, 77591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21240*z**2 - 21238*z**2 - 4*z**3 + 42478*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 281756982 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 4. Let b = 5.9 + s. What is the closest to b in 2, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*v + 54831 + 84138. Is 119 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 263 + -21. Let n(v) = -1 + 1 - z*v + 236*v. Let h(r) = 13*r**2. Calculate h(n(j)).\nAnswer: 468*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4862*f**3 - 17729*f + 185037631 with respect to f.\nAnswer: -14586*f**2 - 17729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567 >= 3567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 458 - 288. Calculate the lowest common multiple of l and 2.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**6\/16 - r**5\/5 + 3*r**4\/16 - r**2\/16 - 14. Let u(d) = 0. What is d?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3961*h**3*q - 197473*h**3 + 6*h**2*q with respect to q.\nAnswer: -3961*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(y - y - y) - 54*y - 31*y + 104*y.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 5. Let f(r) = -2*r**2 - 4*r - 3. Let x be f(-3). Let j be (12\/(-8)*6\/x)\/1. Suppose 29 = 4*h + j. Give g(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85330 divided by -265?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 3*g - 72. Suppose -o - 2*o + g = 0. Is 11 a factor of 112\/5 - o\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -15, 0.5, 1, 2\/7 in ascending order.\nAnswer: -15, -1\/6, 2\/7, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -1.8 (b) -3 (c) 1011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1356 - -1360. Solve m*l - 11 + 15 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = 10. Let n be ((-1)\/2)\/(h\/50). Suppose n*j + k + 2*k = 51, 2*k = -6. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 10 = -5*d. Let b(c) = -5*c**d + 2 - 2*c**2 - 1 + 8 - 2*c - c**3. Is b(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrfr when four letters picked without replacement from {f: 9, r: 7}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y + 22*y - 2*y**2 - 11*y + 5)*((-16 - 20 + 7)*(2*y - y - 2*y) + 0*y + 2*y - 7*y + (3 - 1 - 4)*(-2 + y + 2) + 0*y - 5*y + 6*y).\nAnswer: -46*y**3 - 23*y**2 + 115*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 3. Let d be o(4). Let t(y) = -23*y**2 - 141*y - 11. Let m be t(-6). Let k = m - d. Solve k*q + 4*q = 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 + 2*f**2 - 2*f + 2. Let n be o(2). Let j be 13\/(-2)*n + 2. Suppose 2*y - 178 = 2*d + 2*d, 0 = -2*y - 3*d + j. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -643.1*0.1\nAnswer: -64.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 - 19\/(76\/12). Calculate the highest common factor of 100 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 20200953678730?\nAnswer: -20200953678730.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.7 - 105653.12113?\nAnswer: -105668.82113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -83, -310, -689, -1226, -1927, -2798, -3845, -5074?\n\"Answer: -t**3 - 70*t**2 - 10*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27905700, -27905688, -27905676, -27905664?\n\"Answer: 12*t - 27905712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1238717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5007230 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 21)*4\/60*-5 - 6. Factor 3\/10*v - 1 + 1\/10*v**r.\nAnswer: (v - 2)*(v + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67510 is divided by 16874.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34229 and 4589?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*g + 3*g - 12, -4*r - 27 = -3*g. Which is smaller: r or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4536 divided by 4.\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1221 = -9*w + 15. Calculate the common denominator of ((-28)\/8)\/(w\/20 - -4) and 44\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1675521.05999992 + -1675521. Let p = j - 0.06. Round p to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = -9*t + 464. Suppose -3*q = -t - 84. Calculate the greatest common factor of q and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5403*y**3 + 9*y**2 + 2*y + 19. Let u be q(9). Let b = u + 338021. What is b rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20091 - 3766. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n = -45*n - 5258. Let j = n + 1056. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/8)\/l*l*l\/(l**(-2)\/l)*l)**(-22))**(26\/3) assuming l is positive.\nAnswer: l**(-1859\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.2. Let k = 46.6 + -47. Let h = k - n. Which is the second smallest value? (a) -5 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g)**(-3\/11)\/((g\/g**(-1))\/g**(-4)) assuming g is positive.\nAnswer: g**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7119 - -5?\nAnswer: 711e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (179 - 175) + 3 + -9 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -101, -225, -399, -623, -897?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**14\/d)**(-6))**(-2\/123) assuming d is positive.\nAnswer: d**(52\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/12 + 7*a**3\/6 + 3*a**2 - 9*a. Suppose u + 4*u - y = -23, 3*u - 2*y = -11. Determine x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 767 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*l**4 - l + 0*l - 13*l**4 + 0*l**4 - 6*l**4 - 9*l**4 + (2*l**2 - 2*l**2 - l**2)*(-2*l**2 - 2 + 2).\nAnswer: 34*l**4 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-12\/5)\/(q*q**(-13)*q*q\/(q**(-10)*q)) assuming q is positive.\nAnswer: q**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/6 - 8827*y**4\/3 + 17313670*y**3 - 101856314725*y**2\/3 - 203816529125*y\/6 = 0. Calculate y.\nAnswer: -1, 0, 5885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 19*d = 3978. Let l = d + -230. Solve 0 = 2*b - b - l*k - 12, -2*b + 3*k + 14 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 divided by -836780.\nAnswer: -37\/418390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5400 divided by 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n - 7. Let g be u(-7). Let o = -34 + g. Solve o = -q - 0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 64009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -3. Let b(c) = -c**3 - 3*c**2 + 2*c + 1. What is the units digit of b(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 4787731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15 - 0.14. Let a = -0.09 - g. Is a at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*s - 1115 = -0*s, -3277 = -3*v + 5*s. Let u(g) = -5*g**3 + 5*g**2 + 7*g - 2. What is the remainder when v is divided by u(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-2800))\/(27\/4). Let c = -7351\/1260 + p. Find the common denominator of -16\/39 and c.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112495 + -1?\nAnswer: -112496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57, -117, -177, -237, -297?\n\"Answer: -60*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m + 9 - 4 + m**2 + 2. Suppose 5*d + 35 = -0*d - 5*o, -5*o + 1 = d. Let k be v(d). Calculate the highest common factor of 28 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6 + 12*l**3 + l + 5 in the form t*l + p*l**3 + s*l**2 + a and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -13*z - 27. Suppose -35*n = -z*n - 318091. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -10. Let d be (-1 + 0)*-1*z. Let n = d - -25. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 1 (c) -0.4 (d) 51.2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 502918 and 10643.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -304 + 300. Let u be (-2)\/(2 + 10\/r). Solve 8 = u*t, 5*w + 10 + 9 = -3*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 892200, 3568758, 8029686, 14274984, 22304652?\n\"Answer: 892185*l**2 + 3*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + 11. What is the remainder when u is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**5 + 20*m**4 + 32*m**3 - 160*m**2 - 64*m + 320 = 0?\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 38*s - 2. Let i be h(1). Calculate the greatest common factor of 48 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:52 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/33 + ((-682875)\/32175 - (1 - 23))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2862 and 107\/46746?\nAnswer: 140238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116353222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boobboo. Give prob of picking 2 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6909 and 1410?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3732586*j**2. Let n(w) = w + 27. Determine n(s(i)).\nAnswer: -3732586*i**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1, -5 in decreasing order.\nAnswer: 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3410135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -204.5?\nAnswer: 102.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*f**5\/7 + 3524*f**4\/7 - 436252*f**3\/7 - 159512*f**2 + 6291042*f\/7 + 2667060\/7 = 0. What is f?\nAnswer: -449, -5, -2\/5, 3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5600?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 + 122. Let x be 545\/(-247) - (-12)\/78. Let d = x + 603\/266. Is d at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475, -950, -1425, -1900?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 24. Suppose 0 = -2*s + 8, s - n = g - 0. Let v(z) = -5*z + 1 + 0*z - g. Give v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h - 55. Give k(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 4*h - 64. Let o = -5 + h. Suppose 4*u - 608 = 2*f, 618 = -0*u + 4*u + o*f. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 8) to base 4.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - -1)\/(((-45)\/(-36))\/5). Suppose x*v - 4802 = 22*v. What is the highest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -t - 5*d + 17, -3*t = -2*d - 91. Let l be 2*3\/t - 4\/18. Suppose -9*g + 1332 = -l*g. List the prime factors of g.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 46.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 3, r: 2, l: 1, q: 1}. What is prob of sequence lq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((6 - 2)\/2)\/(-2). Let n(s) = -s**2 + 1. Let v be n(j). Suppose v = -4*w + a + 24, w - 12 = 3*a + 5. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - -14. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0 + 0)*(0 + 3 - 4) + 354 - 354 - 272*r.\nAnswer: -274*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-6)\/(-18))\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 2. Suppose q + 1 = -1. Let a be o(q). Suppose -a*z = -23 - 31. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 8*c + 8. What is the first derivative of 6 + 3 + 2 - 8*m**c - 3 wrt m?\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -12\/5, -1\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 12*y + 121. Let g(v) = v**2 + 7*v + 56. Let w(n) = -2*a(n) + 5*g(n). What is w(-11)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 846\/270 + (-8)\/60\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from ntrrtnnrrnnnr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000523693905 rounded to 6 dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 64*m + 1150. What is t(11)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1499793?\nAnswer: 599917.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - x**2 - 5. Let m = -16 - -18. Suppose 0*b - 6 = -m*b. Let h(p) = -p**3 - p**2 - 3. Determine b*z(c) - 5*h(c).\nAnswer: -c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17474652 is divided by 76308.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p - 54. Let d(i) = -i - 11. Let b(s) = -5*s + 34. Let h be b(9). Let l(n) = h*d(n) + 2*t(n). What is l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65599 and -285?\nAnswer: -18695715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*h + 131. Suppose 31 = s - 14*c + 16*c, -4*c = s - 27. Let v = s - h. What is the second biggest value in 10, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*z**2 + 119*z**3 + 250*z**2.\nAnswer: 119*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 180179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + d = -0*o - 36, d = 3*o - 100. Calculate the remainder when (o\/(-10))\/((-24)\/480) is divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96.54683 millilitres?\nAnswer: 0.09654683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2 - 80649987*q = 0.\nAnswer: -26883329, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0*l**3 + 0*l + 0*l**4 - 1\/30*l**6 - 1\/30*l**5 - 1\/672*l**8 + 0 - l**2 - 1\/84*l**7. Solve v(d) = 0 for d.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:19 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 14*x**3 + (1 + 1 - 3)*(0*x**3 - 2*x**3 - 2*x**3).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 58*q**2 - 55*q - 107. Let c be j(57). Solve -c*d - 24 = -17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**4 + 480*w**3 - 2784*w**2 + 5504*w - 3648 = 0?\nAnswer: 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*b + 4 = 0, -3*d - 2*b = -16*d + 12*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (102\/(-96)*-4)\/((-3)\/(-60)). What is the greatest common divisor of m and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.7242 to 0 decimal places.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7836.0055325 - 7836. Round d to five dps.\nAnswer: 0.00553","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1212203313 (base 4) to base 9\nAnswer: -710223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 66990\/13 and 5153 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 39 = -54 + 9. Sort 0, -20, -2, x in increasing order.\nAnswer: -20, -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - -35 - (-16 + -41).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 644974 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 20. Suppose 0*y = t*y + 105. Let c be 1\/(-7) + (-45)\/y. Solve -h + 4 = -c*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**3 + 2*w**2 - 4*w - 7. Give k(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ae5d (base 16) to base 8.\nAnswer: -327135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269 + 71 - 134*q**2 - 135 wrt q.\nAnswer: -268*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**2 + 10*k + 3. Let r(p) = -6*p**2 + 11*p + 4. Suppose t + o = -3*t - 14, 2*o - 20 = 4*t. Calculate t*w(b) + 3*r(b).\nAnswer: 2*b**2 - 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 8:53 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/16)\/((-3)\/60). Let f be 3\/9 - s\/(-3). Find the second derivative of -x - 13*x**f - 6*x + 8*x**2 wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24\/115 - 282\/1955. Which is the second biggest value? (a) y (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13.1 and -105.5.\nAnswer: -118.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 60284022 divided by -43\nAnswer: -1401954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*x - 1, -5*x - 3*n = -0*x + 3. Suppose -14*b + 15*b = p - 27, -b = -5*p + 71. Put x, 5, b, 4 in decreasing order.\nAnswer: 5, 4, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 - 17) + (2 - (-5)\/2). Let f = -0.02 + -0.04. What is the third smallest value in o, -0.1, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -79*u - 378. Let y be b(-12). Let v = 636 - y. What is the highest common divisor of 297 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4507467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(7*(-50)\/875).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -8*g**3 - 19*g**2\/2 - 36. What is the second derivative of i(b) wrt b?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:53 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -3*x**8\/112 - x**7\/10 + 3*x**6\/20 + 3*x**5\/5 - x**4 - 2*x**2. What is m in a(m) = 0?\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 4 - 7) + (-28)\/2. Let o be (8\/w)\/((-96)\/(-40)). Which is the closest to 0.1? (a) 0.2 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.21 (b) 0 (c) 0.18 (d) -0.1 (e) -1 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 0*g - 13 + 19 - g. Let r(o) = 12*o - o**2 - 13 - 2*o + 9*o. Let q be r(18). Determine u(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*q = 412, -307 = 2*n - 5*q - 71. Let l = -58 - n. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 - -117) + (-25 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o**2 + 7*o**2 - 8*o**2)*((0*o + o + o)*(-4 + 2 + 3) + 3*o - 3*o + 3*o) + o**3 + o**3 + 0*o**3 + (2 - 2 - o**2)*(-o - o + 0*o).\nAnswer: -41*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -891 + 1617. Suppose 12*p - k = -78. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n*s**2 - 15733*n*s - s**2 - 17*s - 267 wrt n.\nAnswer: -s**2 - 15733*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.26 - 0.26. Let j = 9 - p. Let s = 6.5 + j. What is the nearest to 1\/2 in -5, s, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + f + 2)*(-12*f**2 - 33*f**2 + 10*f**2).\nAnswer: -35*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 14*v**2 - 3 + 4*v + v**2 + 6*v**2. Let c be 3\/2 - 5\/(-10). Is j(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135883\/168 - 5686\/7. What is the common denominator of i and (-2)\/(-9)*470\/(-60)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0*t**3 + 23*t**2 + 0 + 0*t + 0*t**4 - 3\/10*t**5 + 1\/24*t**6. Find the third derivative of y(s) wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.993*-60.\nAnswer: -1019.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 558 = -12*s. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -40833?\nAnswer: -2041.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + 15 + -13 + 6 - (-275 + 259).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(1*(-3 - -16)). Let v be (2\/6)\/((-84)\/(-252)). What is the nearest to 0 in 0.3, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61605 + 0*l**3 + 3*l**3 - 27*l**5 + 61603 + 2*l**4 - 3*l**3 - 261*l**2 wrt l?\nAnswer: -1620*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4427642 is divided by 442763.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4 + 3*p - 45*p**3 - 4*p**2 + 2*p + 46*p**3. Let w be b(4). Let m = 0 + 2. Solve 0 = -5*c + 4*a + w, -c + 0*c + m*a + 6 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17204 and 56419.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11762632679 + -8813.\nAnswer: -11762641492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18490 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 6*l**2 - 8*l - 4. Suppose 1 + 20 = -3*x. Let s be f(x). Find the second derivative of 4*q - 17*q**s - 6*q + 17*q + 0*q**3 wrt q.\nAnswer: -102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + d - 47 - 56, 4*w - 209 = -3*d. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + 0.06. Let z = 13.87 + -14. Let l = z + -3.87. Sort -0.4, 4, l, a.\nAnswer: l, -0.4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + -4)**2 + 0 + sqrt(605) - (5*2*sqrt(5) + (sqrt(10)*-1 + sqrt(10))\/sqrt(2)).\nAnswer: -7*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06 and -31?\nAnswer: 31.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**8*r**21)\/(r**(-1\/31))**(4\/3))**(-2\/9) assuming r is positive.\nAnswer: r**(-2612\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1328\/7 - -190. What is the third smallest value in m, -0.3, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 145, 161, 185, 217, 257, 305, 361?\n\"Answer: 4*a**2 + 4*a + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61d6a0 - -4?\nAnswer: -61d69b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27064 + 27064.3. What is the second smallest value in -0.1, -1, 2\/5, -183\/7, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -121\/3. Which is the third biggest value? (a) 0.3 (b) 0.4 (c) q (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2610063, -2610072, -2610085, -2610102, -2610123, -2610148?\n\"Answer: -2*c**2 - 3*c - 2610058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219392.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 + 276*t**4 + 2008*t**3 + 3204*t**2 - 2006*t - 3480 = 0. What is t?\nAnswer: -4, -3, -1, 1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + -4)\/((16\/124)\/(-2)). Suppose 0 = -2*u - 0*u + 5*v + 57, 2*v - 2 = 0. Calculate the greatest common divisor of o and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -496, -494, -490, -484, -476, -466?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -4, -0.3, 247, -3\/5?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2596, 10445, 23526, 41839?\nAnswer: 65384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*y - 148 = -180*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let h be n(-3). Let z = 7 - 11. Which is the nearest to 1? (a) -3\/7 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -730*a + 0 + 1 + 721*a in the form g + z*a and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/16)\/(4\/80). Let g(m) = -42*m - 15. Let b be g(f). Let x = b - -357. Round x to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -48. Suppose c = v, 4*u - c - 83 + 23 = 0. Find the first derivative of 21 - 30*a - 14*a**2 + u*a + 15*a wrt a.\nAnswer: -28*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -182 (c) 8 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c - 453 + 278 + 29*c**4 + 263 wrt c?\nAnswer: 116*c**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1918886686.26 less than -517?\nAnswer: 1918886169.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000309 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*h - 123 - 345 - 119 = 4*u, -u + 4*h = -h + 8 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 13*g**2 - 7*g - 86. Let j be z(14). What is the highest common factor of j and 1518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 7716072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2, 6358, 5, -19, 1 in ascending order.\nAnswer: -19, 1, 2, 5, 31, 6358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (82 - 182) - (2 - -13 - 0)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432\/7*r**3 + 4\/7*r**4 + 12088\/7*r**2 + 11236\/7 + 22896\/7*r.\nAnswer: 4*(r + 1)**2*(r + 53)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 21.3. Let p = -4.5 - r. Is 1 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -563, 1616\/45, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 10*m - 7. Let o(v) = v**2 - v + 1. Calculate 6*o(w) + p(w).\nAnswer: 3*w**2 + 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 40 = -6*k, -v = -2560*k + 2558*k - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3242, 6477, 9702, 12917, 16122?\n\"Answer: -5*a**2 + 3250*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920810 to the power of 1\/2, to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002576501484 rounded to 6 dps?\nAnswer: 0.002577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + 3*d - 3. What is x(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 0*u. Let q be -8 - (-4 + u) - -29. Do 26 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 255 + 92*z**2 + 2*z**3 + 88.\nAnswer: 2*z**3 + 92*z**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -43, 87, 277, 533, 861, 1267?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 96 = -5*o - 3*z, -3*o = -z - 81. Let t = o - 21. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a week in hours?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31719420 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 1032301?\nAnswer: -1032221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 530 by -106.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + j. Let r be m(-1). Let y = -36.8 - -32.79. Let a = y - -0.01. Put 0, a, r in decreasing order.\nAnswer: r, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1472*z**3 + 16371 + 16373 - 32747 to the form y*z**2 + q*z**3 + a + j*z and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 = -26. Suppose 0 = 5*j + 15, w + 0*j - a = 4*j. Suppose -5*t = 3*q - w*q, 4*q - t - 17 = 0. Solve 4*u - 3 = q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21497167, -21497161, -21497155, -21497149?\n\"Answer: 6*v - 21497173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 + 34*c**2 - 34*c - 594. Calculate i(-17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*q - 75 + 272 + 85 = 0. Let g(r) = r**2 + 3*r + 9. Let f be g(-6). Let c be (-1)\/(0 + 2\/(-6)). Solve -f = -q*o + c*z, -4*o + 11 = -z + 2*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 + 0.03. Let f = -1.6 - z. Let t = -0.09 - 0.11. Sort f, t, 0.1 in descending order.\nAnswer: 0.1, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357557907521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513) - sqrt(513)*-1)\/sqrt(9))\/((sqrt(6) + (sqrt(6) - sqrt(12)\/sqrt(2)) + sqrt(6))\/sqrt(2)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b + 335525 = -336091 - 1558774. What is b rounded to the nearest one thousand?\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 19*u**7\/210 + 11*u**5\/3 + 11*u**2 + 3. Find the third derivative of k(a) wrt a.\nAnswer: 456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 8*h - 105 = 0. Let k = -12 - h. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 61 = -124 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2557.73643 + -2557. Let i = g - 0.731. What is i rounded to 4 dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2577*t**2 + 7*t**3 + 2577*t**2.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d = m + 15, -2*d + 3*m = 7. Let q = 52 + -8. Calculate the highest common factor of q and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence met when three letters picked without replacement from {t: 5, x: 6, m: 5, e: 1}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1693779*(460\/(-60))\/23 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1134 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49200 + -28596. Suppose -4976 = 4*f - b. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -576 and -0.4.\nAnswer: 230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = v - 5*v - y + 3*y, 2*v - 15*y - 78 = -18*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 330 - 330. Let n(p) = -7*p + 2. Let u be n(m). Solve -3*z = 5*k - 8, 2*z = -k - u*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 11. Let l = -41 + 43. Suppose l*m + 92 = 5*p, -4*p - r = -m - 83. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828639107 to the nearest integer?\nAnswer: 28786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 26*o + 325. Let z(f) = -77*f - 936. Let r(t) = -8*b(t) - 3*z(t). Calculate r(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31705*a + 0*d + 23 = -31701*a + 2*d - 9, -d - 8 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/57*((-6)\/2)\/(-18)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t**3 + 9*t**2 - 22*t + 7. Calculate n(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-18) + 8\/(-12). Let p = 21 - 62\/3. Is p bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 - 11*g**2 + 24*g - 12. List the prime factors of t(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -883, -1938, -3415, -5314, -7635?\nAnswer: -10378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 8) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -701*x**2. Let b(n) = 1940*n - 3882*n + 6*n**2 - 2*n**2 + 1942*n. Calculate w(b(f)).\nAnswer: -11216*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*4\/9. Suppose q = -3*w + 12, q + 12 = 12*w - 9*w. Which is the closest to -0.1? (a) -2 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 35*n - 46. Let c be r(19). Suppose -c*z + 90284 = -372255. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/4 - 3642*k**3 - 570912*k**2 = 0. What is k?\nAnswer: -152, 0, 5008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9551, -18964, -28237, -37370?\n\"Answer: 70*m**2 - 9623*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/48*((-4)\/39 + 0).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 (base 13) in base 4?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 8:09 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 minus 0.22842958?\nAnswer: 1211.77157042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 430 + 84. Let c(y) = y**3 + 347*y**2 - q*y**2 + 1 - 2*y + y. Let z(i) = 2*i - 1. Calculate 2*c(j) + z(j).\nAnswer: 2*j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/13158 or -1?\nAnswer: 1\/13158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7848, -23438, -39024, -54600, -70160, -85698, -101208, -116684?\n\"Answer: q**3 - 4*q**2 - 15585*q + 7740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9 = -5*x - 4*y, 3*x = -y + 6. Let p be 6 - x - 1*3. Solve p = 3*v - 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -5. Let p(z) = -1 - z**2 + 9*z - 9*z + 2*z**c. What is the tens digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*116\nAnswer: -69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8160 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkrr when four letters picked without replacement from rkrrrrrrrrrrrrrrrrr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*5.3476\nAnswer: 0.53476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -41. Suppose -4*t + 7*f - 2*f + 249 = 0, -y*f = 5*t - 302. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than 4208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 152308706443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4143 + 5991. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366651975 divided by 3.\nAnswer: 122217325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4)\/(9\/96). Suppose -3*g + 1 = -5, -x = 4*g - 5. Let v be (46 - 4) + 1 + x. What is the highest common factor of y and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 478\/5 + -96. Let f be 12\/549*29 + 0. Let h = f + 2\/61. Which is the second biggest value? (a) 2 (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55636075, -55636076, -55636079, -55636084, -55636091?\n\"Answer: -b**2 + 2*b - 55636076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1\/7 (b) -44 (c) -0.4 (d) 3\/23 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8*v = -12*v + 284, 4*x - 3*v = 252. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:13 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 291639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -1 (c) 1\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -41\/7 (b) 0 (c) 19 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -878*s - 15018. Calculate b(-17).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -254 in -8, -2, 0.2, -9.34?\nAnswer: -9.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**4\/6 - 8*g**3\/3 + 6*g**2 + 140*g. Give c(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 19 - ((-9520)\/1850 + (-4)\/5)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*j - 9, -j = -0*z + 5*z - 9. Let y be 4 - (-1)\/z*8. Solve -h = 5*u - 2*h + 13, 0 = 2*u + h + y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26013376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-3)\/(-120))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -86, -141, -222, -329?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3589 and 3045703?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 0 + 4*t + 2*t**2 - 7\/6*t**3. What is the first derivative of u(m) wrt m?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*m + 1000, 3*o + m - 87 = 497. Let t = o + -186. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-18)\/4)\/3)\/(12*(-10)\/546960)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-4) + 4 + 0. Solve 5*q + o = -3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466252 is divided by 97?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0611 times 0.5?\nAnswer: 0.03055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -484, -412, -346, -292, -256, -244?\n\"Answer: -o**3 + 3*o**2 + 70*o - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071615 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13688, 46964, 102424, 180068, 279896, 401908, 546104?\n\"Answer: 11092*q**2 + 2596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 109330 to the nearest one thousand.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-3)\/9*71. Suppose 38 = 6*p - r. Suppose -h = 3*h - 1200. Calculate the highest common factor of h and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 459*a**2 - 77430*a + 153000.\nAnswer: 3*(a - 100)*(a - 2)*(a + 255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 901*l - 888*l + 7)*(-2*l - 2 + 2) to j + c*l**2 + b*l and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(-2*n - 2 + 2)*(-6 - 1 - 2) + 2 + n - 2 to the form i*n + g and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 1977, 6277, 14645, 28437, 49009, 77717, 115917?\nAnswer: 164965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + w - 50 = 0, -3*k - 2*w = -4*k + 17. What is the remainder when 0 + 2 + 36 - 1 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(240\/5600)*(18\/39)\/2?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, -4, -21, -42?\n\"Answer: -2*b**2 - 7*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 1. Let z(w) = 4*w**2 + 2*w + 4. Let v(s) = -5*t(s) + z(s). Suppose -2*o + 55 = 3*o. Let n = 15 - o. Give v(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/3 + 2564*h**2\/3 - 61460*h = 0. Calculate h.\nAnswer: -2634, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1532 + -1527. What is the second biggest value in -0.2, -1\/2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyywwyywywyywwwwyy. What is prob of picking 1 w and 1 y?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*n**2 - 630*n**2 + 190*n**2 as o + q*n + d*n**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 43*g - 128. Let s be q(8). What is the common denominator of (-14)\/8*s\/30 and -53\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -622178, -2488681, -5599520, -9954695, -15554206, -22398053?\nAnswer: -30486236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 - 6*s + 6. Let d(v) = -23*v**2 - 5*v - 1. Let w(g) = -95*g**2 - 20*g - 5. Let z(o) = 25*d(o) - 6*w(o). Calculate 5*k(y) - 6*z(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 4. Calculate t(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/10 + 5*d**4\/6 + 4*d**3\/3 - 6*d**2 - 105*d. What is the tens digit of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 420, 840, 1266, 1698?\nAnswer: 2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 93. Suppose -j = 4*x - 2. What is the units digit of (-6 + 63\/(-5))*(x + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/10*(188\/(-1410) + 106\/1020) and -44\/221.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - 22*x**2 + 5*x - 92. Calculate the least common multiple of 16 and l(12).\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a + 262 - 158 - 140. Does 12 divide h(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -17*r + 121. Let q be t(7). Suppose -3*n - c + 133 = 0, 10*c + 98 = q*n + 6*c. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148988612 is divided by 147.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/92676180 and 37\/26316?\nAnswer: 278028540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7216, 0, -3, -4, -0.4, -1\/4 in ascending order.\nAnswer: -4, -3, -0.4, -1\/4, -3\/7216, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250506683.\nAnswer: 3, 41, 3388907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23296 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-8)*q\/((q*q**(-10))\/q) assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7514845757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.935 + 66.821. Let t = c + 0.114. Is t smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 4, g: 5, t: 4, w: 2}. What is prob of sequence jjw?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 8. Let q be p\/((-1)\/2*10). Put 2\/5, 2\/3, q in ascending order.\nAnswer: q, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - -4. Let n(k) = -15*k - 86. Let d be n(-6). Suppose -d*g = -505 + 73. Calculate the remainder when g is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34329190829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let f(d) be the third derivative of -89*d**4\/8 - 481*d**2. Calculate o(f(w)).\nAnswer: -267*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -272 - -300. Let a(y) = y**2 + 4*y. Let r be a(-7). Calculate the greatest common divisor of c and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -34*f**3 - 3*f**2 + 2*f + 4. Calculate the remainder when 129 is divided by x(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f + 8 - 8)*(0*f + 2*f - 4*f) + 5*f**2 + f**2 - 3*f**2.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**3 + v**2 - v. Let w be t(1). Let l be (-45)\/w - (-3)\/(-2). Let o = 13 + l. Solve o*p = 8*p + s + 7, -s - 4 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**4\/4 + 7*j**3\/3 - 5*j + 4. Suppose 21*x = -30*x + 13*x + 266. Calculate c(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 26 (b) -23\/8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f + 1. Let z(p) be the third derivative of -p**5\/10 - p**4\/12 + 5*p**3\/6 - p**2 + 121. Calculate 2*m(h) - z(h).\nAnswer: 4*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {f: 3, g: 1, b: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 29 = -j - 2*x, 30 = j - 5*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 19654, 3\/2, 5464, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 - -101. Solve -5*i = 3*l - 7, -3*i - 11 = -n*l + l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7490 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*r - 8 - 2, -4*j - r = -15. Let u be (-4 - (-28)\/8)*0. Which is the closest to j? (a) u (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 17806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiqqqqtqiqiqqq. Give prob of picking 1 t and 3 q.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 19 = 3*l, -3*b + 2*l + 22 = -b. Suppose b*c - 6 = 4*c. Solve -c*r - 4*i - 28 = 0, -4*r + 2*i - 2 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 5. Let b be u(-5). Let j be ((-22)\/b)\/(4\/(-10)). Solve -2*v - j = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634 (base 11) to base 6\nAnswer: -3311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/22*-21*(-14)\/392\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 500 = -2*v, -6*v - 512 = 4*m - 5*v. Are -127 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 + 24*z**2 - z + 3. Let b(r) = r**3 + 6*r**2 + 1. Let i(q) = -9*b(q) + 2*x(q). What is i(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -36 + 30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -26177.19 to the nearest 100.\nAnswer: -26200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/15 - d**4\/3 - 12*d**3 + 87*d**2. Find the first derivative of l(g) wrt g.\nAnswer: -8*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 381 + -101. Let s(q) = -q**2 + 8*q - 6. Let k be s(7). Is -3*(k + w\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2550561 - -343?\nAnswer: 2551234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 24312334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((0 - 100) + -3)*-1.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/24920 and 69\/358.\nAnswer: 4460680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4763*b**3*g**3*k + 3*b**2*g**2 + 11*b**2*g*k + 4*b**2*g + 3*b*g**3*k + 2*b*g*k wrt b?\nAnswer: 28578*g**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 5*b - 3*b + 5)*(2 - 2 + b) in the form c*b**2 + v + w*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1013.52 and -876.\nAnswer: 887843.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 352 or 351?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q - 14*q - 10*q to o + m*q and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:28 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67595 + 103437. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c3d + -1?\nAnswer: 5c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 6*f. Suppose -2*g = x - 6, -5*g - 6 - 12 = -3*x. Let o be m(x). Suppose n - 14 + 2 = o. Are n and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 - 26*a - 6. Let q(d) = -d**2 + d - 1. Determine 6*q(o) - u(o).\nAnswer: -o**2 + 32*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 5*l + 7*l - 96, 2*i + l + 0*l - 50 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (sqrt(34)\/sqrt(2))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643876461 to the power of 1\/3, to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103123322 (base 4) to base 2.\nAnswer: 10011011011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3923 is divided by 788.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 + 250 + 96 + 5*o - 2*o - 101.\nAnswer: 3*o + 324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123*i + 264.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -706217499 divided by 203697\nAnswer: -3467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000053843 to six decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/33 and -4\/39259?\nAnswer: 117777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1368 and 9.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(0 + (4*sqrt(1088) + -1 - sqrt(1088)) + sqrt(1088)))**2.\nAnswer: -256*sqrt(17) + 69637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1. Let t(u) = 4*u + 11. Let j(s) = 6*p(s) + t(s). What is the tens digit of j(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.5. Let l = -122 + 122.55. Let s = l - -3.45. Which is the second smallest value? (a) s (b) o (c) 5 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.4292338 to 2 dps.\nAnswer: -13.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482711.9t to micrograms.\nAnswer: 482711900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-7 - (1 + -13))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, -2, -5.\nAnswer: -5, -2, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 70*j - 240. Let p(m) = -94*m + 241. Determine 3*p(x) + 4*z(x).\nAnswer: -2*x - 237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(363) - 4*(sqrt(3) - sqrt(9)\/sqrt(3)).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2890 - 2?\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222 - -1022110211?\nAnswer: 1022022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461197642 to the power of 1\/2, to the nearest integer?\nAnswer: 38226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/4)\/(5\/10). Let w(v) = 339*v + 64. Is w(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/5)*d*d**(-2\/11)\/d*d**(-1)\/d**(1\/7) assuming d is positive.\nAnswer: d**(-202\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/7605 and 83\/1209.\nAnswer: 235755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 0*q + q)*(2*q**3 - q + q) - 80738*q**2 + 130*q**4 + 80738*q**2 to the form h*q**3 + j + v*q**4 + k*q + g*q**2 and give v.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.12, -140, -1\/6, 1662\/11?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 2. Let q be (2 + w)\/(2 - 0). Let b be -13196 - (-1 - (-3 - 0) - q). What is b rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -79122734, -79122729, -79122712, -79122677, -79122618?\n\"Answer: n**3 - 2*n - 79122733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.90000204 - 16.9. Round g to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4 + 23505*d**3 - 27612495*d**2 - 27636005*d = 0. Calculate d.\nAnswer: -1, 0, 2351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066255 rounded to three dps?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 81. Let m(f) = -f**3 - 13*f**2 - 11*f + 16. What is m(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 32086*b + 5. Give a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1)\/(-2)*2. Suppose -39*g + p - 201 = -44*g, -5*g + 2*p = -213. Suppose 3*h - g - 31 = v. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48635.\nAnswer: 5, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 100?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 14. Let z be y(-4). Let b(i) = -2*i + 2 + z + 1 + 1. Calculate b(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527 + 4*m + 2*m + 527.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575 divided by -5?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519770195?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 + 268684*f\/7 + 268682\/7.\nAnswer: 2*(f + 1)*(f + 134341)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5206 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 ((-4)\/8)\/(87\/(-116))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/13, -19\/3, -20\/103, 3 in decreasing order.\nAnswer: 3, -20\/103, -8\/13, -19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-1))\/((-5)\/(-20)). Let y = 14 - i. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.028.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from odhfhhhdhhdwhwhd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11210 + -10313?\nAnswer: -22123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdeyye. Give prob of sequence dyy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 - -0.8. Let k = -0.03 + 14.03. Let p = k + -15. What is the nearest to -2\/7 in p, d, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**5\/2 - 205*n**4\/4 - 200*n**3 - 595*n**2\/2 - 395*n\/2 - 4827. Determine i so that x(i) = 0.\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 170506*g\/5 - 7268074009\/5.\nAnswer: -(g + 85253)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w + 2*w - 33*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-25)\/15 - 46\/(-6) and 154?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10) - -2)\/(2\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682155?\nAnswer: 3, 5, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 1 = m, u - 87*m - 1 = -88*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let p(v) = -v**2. Let n(r) = -h(r) - p(r). Suppose 5*a - 6 + 1 = 0. Let q(o) = 3*o**2 - 5*o. Let w(x) = a*n(x) + q(x). Let w(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + g, -3*t + 0*t = 4*g + 2. Suppose 6*b - 2*b - t*d = 0, 5*b = -2*d - 9. Is 1 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-861)\/(-123))\/(6\/18).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 + 5)*(3*x - x - 6*x)*(x - 3*x - 17 + 18) + 2 - 27*x**2 + 21*x**2 - 3 in the form y*x + h + n*x**2 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -5 - i + 0 + 4. Let h(p) = -p - 7. Let b = 6 - 7. Determine b*h(o) + 6*m(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3328) + 1*(sqrt(39)\/sqrt(3) + -4 - sqrt(13))**2.\nAnswer: 16 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 4*a. Let g be u(-3). What is the third derivative of 43*t**2 + 3*t**3 + 1476*t**5 - t**6 - 2*t - 1476*t**5 + 0*t**g wrt t?\nAnswer: -120*t**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -143, -281, -417, -551?\n\"Answer: j**2 - 141*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/(-30))\/((-19)\/6840*54))\/((-2)\/(-14))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187 + 187 - 23*t)*(0 - 3 + 4)*(16 - 16 + 9*t**2).\nAnswer: -207*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**3 - 2*m - 5188*m**2 + 5185*m**2 - 3 - 7*m**3 to the form u*m**2 + l + o*m**3 + w*m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2965 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -38\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -30*d + 3. Let b(s) = -47*s + 4. Calculate -4*b(m) + 6*w(m).\nAnswer: 8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 4a1122?\nAnswer: 4a1127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 573 - -1469. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -397\/1288 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -57*y - 454. Calculate k(-7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**2 - 4666*m**3 + 11*m**2 - 4677*m**3 + 9336*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 20. Let u = -122 + 181. Suppose -4*n = 5*w + u - 151, 0 = -4*w + 5*n + 90. Is h > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 + 4*o + 5. Let j be (-1 + 0 - 2) + 0. Let s be b(j). Solve -a + s = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.62 times -0.3\nAnswer: -3.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26924*v**5 + 92*v**2 - v - 7 wrt v?\nAnswer: 1615440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 1\/11, -5, 158, 14\/3, -1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 119*w - 10381 + 1456. Which is the third smallest value? (a) 12 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-54)\/42)\/9 + 4710\/42. Suppose -2*s = s - 141. Let z = j - s. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 87c + 1e2?\nAnswer: a6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 80 = 5*b + r, 5*b + 62 = 13*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162\/295 + 3\/59. Which is bigger: a or 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a34 - -a9?\nAnswer: add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggaaagaa. What is prob of picking 2 g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 129208*3\nAnswer: 387624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/29 + -83\/145. Suppose 2 = -4*p - 2, -3*i + 5*p = -14. Which is the third smallest value? (a) f (b) i (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*(-96)\/1472.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5354364 - -144609709\/27. Let q = -13403333\/8640 + p. Find the common denominator of -127\/12 and q.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 141\/2882726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386193466.\nAnswer: 2, 193096733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -373*l. Let w(x) = 196*x + 10. Give a(w(b)).\nAnswer: -73108*b - 3730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d - 20 = 0. What is the least common multiple of 4 and 87\/15 - d\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -639*s**3 - 2*s**2 - s + 3. Let n be h(-3). Let o = n - 11362. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/35 - (-8)\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-2 + (-4)\/1). Suppose 2*i - 2 + 10 = 0. Let p = i + u. Solve -4 + p = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 16*m**2 - 10. Let r be w(16). Let p(s) = s**3 + 9*s**2 - 15*s - 9. List the prime factors of p(r).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + y + 0 = -5, -5*y - 11 = -3*r. Let f be r + (-1 - 0) + 3. Suppose -f*i + 12 = -8. What is the remainder when 12 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 6*q**2 + 2*q**2 - 31.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/9 and 13\/2823.\nAnswer: 8469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2)*(-23)\/69\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -38. Let q = 15 + f. Let m = -2005 - -1999. Which is the third smallest value? (a) q (b) m (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3\/7 - 486*u**2\/7 + 28512*u\/7 - 51840 = 0?\nAnswer: -210, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39656 - 5313879\/134. Find the common denominator of a and 32.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + 4 + -24 + 23 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3\/9 - 20272*x**2\/9 - 47236*x\/3 = 0. What is x?\nAnswer: -5061, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 268*a - 13986. Calculate q(-71).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svvvsvvvvvv. Give prob of sequence vvv.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-297)\/66*(-4)\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -121? (a) -13\/4 (b) -8 (c) 209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*h**2*i*t - 16*f*h**2*t - 2*f*h*i - f*t + h**2*i*t - h*i*t - h*i + 6*h*t wrt h.\nAnswer: -2*f*i*t - 32*f*t + 2*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368 a factor of 7835904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1132 and -14884075051.\nAnswer: -14884076183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 3*j**2 + 4*j + 2. Let v be m(4). Let y(w) = 50*w**2 - 1. Is y(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/sqrt(7))\/sqrt(2))\/(sqrt(24)\/sqrt(6)*-6).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191610?\nAnswer: 2, 3, 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9324 divided by 2331\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 31. Let v(d) be the first derivative of -5*d**2 + d + 5936. Calculate v(o).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21 = o - 0*o, -4*u + 20 = -4*o. Let c = o - -1. Suppose -y + 25 = -c*y. Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/7)*f)\/f*f*(f*(f**(-2\/15)*f)\/f)\/f*(f*f\/(f*f**6))\/f*(f*f*f**(-1\/7)*f)\/f assuming f is positive.\nAnswer: f**(-284\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 e when four letters picked without replacement from {r: 2, e: 6}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23489134219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 291902*w. Let j(r) = -2*r. Give j(g(d)).\nAnswer: -583804*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s - 7*s - 12*s)*(2*s**2 + 0*s**2 - 1 + 16*s - 21*s).\nAnswer: -22*s**3 + 55*s**2 + 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.634665 rounded to three decimal places?\nAnswer: 0.635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0191708 rounded to 4 decimal places?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 2*t**7\/105 + t**6\/5 + 4*t**5\/5 + 4*t**4\/3 - 2*t**2. Suppose r(a) = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-8 + 14 + 1) - (11 - -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1268*k - 4*k + 39747 = -52525 for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 419 or 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 13. What is the remainder when 34 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/36 and -131\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/65 and -77\/2985?\nAnswer: 38805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w**2 - 2*w - 6. Let k be y(3). Which is the closest to 1? (a) -5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1134))\/(sqrt(28)*2).\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q - 9*q + 2*q)*(-1 - 1 + 5)*(-1 + 5 - 3).\nAnswer: -51*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -384*k. Let b(g) = 2*g**2 - 4*g**2 + 1156642*g - 1156642*g. Calculate r(b(y)).\nAnswer: 768*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 22 = 16. Let n = -3.93 + -0.07. Let z(y) = -2*y**3 - 20*y**2 + 19*y - 36. Let w be z(-11). What is the smallest value in c, -1, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123 and 72.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 254.6 equal to 227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p + 635 = -42*p - 42*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 15*j**2 + 13*j + 9. Let c(a) = 2 - 6*a - 829*a**2 + 822*a**2 - 6. Calculate -13*c(r) - 6*f(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6530, 6528, 6526, 6524, 6522, 6520?\n\"Answer: -2*b + 6532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -51*m**4 + 2808423*m**3 - 101383842*m**2 + 921220884*m - 106980264 = 0.\nAnswer: 2\/17, 18, 55031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 4:20 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8805?\nAnswer: 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*n*r + 5*l - 3*n**2*r - 35*n*r + 599*r with respect to n.\nAnswer: -2*l*r - 6*n*r - 35*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/4 + 27*x**4\/4 - 8*x**3\/3 + 2*x**2 - 2851*x. What is b(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.115\nAnswer: 0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 224398*n**2 - 1795236*n - 2692872.\nAnswer: (n - 224406)*(n + 2)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/6)\/(4\/(-24)). Let d = -5 + y. Suppose 0 = 22*r - 7*r - 15. Calculate the greatest common factor of d and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 = 8. Let v be 4\/1*(-2 - k). Let u = -10 - v. Round u to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f + 2*f**2 - 28 + 7*f + 16*f. Let p be l(-12). What is the greatest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1259837862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -m + 3*g, 0 = -m - 2*m + 5*g + 25. Let x = 3.6 - 4. What is the closest to x in 2\/13, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -1 + 412\/103. Solve -15 = -q*t - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - q + 10. Let n be x(-9). Let o = 313 + n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 1*-3 - -41. Let i(c) = c**3 + 5*c**2 + 4*c + 13. Let o be i(-4). What is the greatest common divisor of b and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.200243 - -3.2. What is g rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11 = -5. Find the third derivative of 5*x**2 + 0*x**4 + 5*x**b - 11*x**2 wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 56*y - 37. Let g be t(-18). Which is smaller: g or -461?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2547 - -1?\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10 + -11 - -4*(-826)\/(-112)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d + 4. Let v(l) = 1. Let k(w) = -a(w) + 5*v(w). Let r be k(-1). What is the common denominator of 133\/6 and 3\/r + (-266)\/132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1741 = 26801. Suppose 0 = -q + 3*g + 1237, 5*g = -0*q - 5*q + b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times 0.7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*t + 196536 - 196556 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 38. Suppose 0 = l*s - 3*s - 25. Calculate the highest common factor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3023840269 to the nearest integer?\nAnswer: 54989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*5*(-12)\/15. Let z be (t\/(-10))\/((-1)\/10). Suppose -3*b - 3 = -4*b. Put b, -5, z in descending order.\nAnswer: z, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/12 - (2\/8 + -1). Suppose -4 = -3*g + 2. Suppose m = g*i - 3*i + 11. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -194*b - 119. Let u(z) = -140*z - 79. What is 5*l(i) - 7*u(i)?\nAnswer: 10*i - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*m + 114 = -59, -m - 42 = -y. Let a = -18 + y. Suppose -1 = 4*u - a. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 70.4554 and -22893529.\nAnswer: -22893458.5446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31516 is divided by 598.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, d: 5}. What is prob of sequence fdfd?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 5*m - 1. Let y(g) = -4*g**2 - 21*g + 4. Let b(l) = 9*a(l) + 2*y(l). Give b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12132 + 1?\nAnswer: -12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fuffffff.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28 (b) 1\/4 (c) -31\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, h: 9}. What is prob of sequence hqq?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249216 is divided by 132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 3*c - 2 - 16, c - 5*n = -36 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17797\/23880 + -276\/199. What is the common denominator of l and -19\/14?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/11, 35.6, 2, 10, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(2\/6)\/1*156\/(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 2. Let j(l) = -9*l**3 + 2*l**2 + 2*l + 15. What is j(g) + 6*o(g)?\nAnswer: -3*g**3 + 2*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = y - 5. Suppose 280 = y*r + 3*r. Let k = -6 - -14. What is the highest common factor of r and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) - sqrt(10)\/sqrt(320) - sqrt(2))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*y = 81 + 3044 - 16853 for y.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + 37\/4. Let q(g) = -x + 3 + 4*g + 2. Let v(z) = 2*z - 2. Let a(t) = -t**3 + 5*t**2 - t - 2. Let m be a(5). Give m*v(k) + 4*q(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 + 29 = l. What is the third biggest value in 1\/7, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (38 + 18 + -44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420000 = -0*m - 7*m. Round m to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 48*c + 2. Let a(o) = 2183*o**2. Determine a(u(i)).\nAnswer: 5029632*i**2 + 419136*i + 8732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 12:52 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 66*b - 1858. Let l be a(32). What is the highest common divisor of 11557 and l?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 155 = -z. Let w = 37 - z. Solve -2*l + w*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 35. Suppose -4*t + 5*t + r = -5*j, -3*j + t = 9. What are the prime factors of (81\/(-6))\/3*j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000443891074 to six dps.\nAnswer: 0.000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10520 - 22?\nAnswer: 10454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 550 and (-1650)\/((-11 + 12)*-2).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = -47*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*m - 12, m - 5*t = -0*t + 3. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2632 + 2*b**3 - 1316 - b**2 - 1314 + b**2.\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -19*f + 1428. Let z = f + -30. Calculate the smallest common multiple of z and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 1050*m - 1079*m + 20 - 1757*m - 9*m**2.\nAnswer: -9*m**2 - 3886*m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1482?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*((-4)\/((-16)\/6))\/3. Let q be (48\/(-24))\/(j\/34). Suppose 0 = -q*r + 24*r - 8407. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -91\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99.47 - -99.473. Is z > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 3*b + 4. Let j(g) = g**2 + 2*g + 5. Let y(v) = -3*j(v) + 4*u(v). Let t be y(-6). Let r(d) = 2*d + 0*d - t + 5*d. Determine r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaaaarnna?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 26*r - 22*r. Let t = 69 + r. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 31934*j. Let z(p) = -2*p**2 + 443*p. Calculate v(z(o)).\nAnswer: -63868*o**2 + 14146762*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c + 11. Let k(v) = v**2 + 377*v. Determine i(k(o)).\nAnswer: 3*o**2 + 1131*o + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 = -37*l + 9 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 24 + -3 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + (sqrt(252) + 2*(sqrt(252) - (sqrt(252) + 2 - sqrt(252))) - (sqrt(252) - (sqrt(252) + sqrt(252) + -1 + sqrt(252) + 3))) + -4)*5)**2.\nAnswer: -1500*sqrt(7) + 157525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 20?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 greater than -53469543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1198787220*a**3*i**5 + 168*a**3*i - 5*a**3 + a*i - 2*a - 216*i + 2 wrt i?\nAnswer: 23975744400*a**3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) 1\/5 (c) -3\/5 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 2:18 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -542 - -541.9999779. What is g rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1440\/17760*2\/(-6).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17)\/(l\/(((l**(-7\/8)\/l)\/l)\/l*l*l)))\/(((l**(-23\/4)\/l)\/l)\/(l*l**(-6\/17))) assuming l is positive.\nAnswer: l**(-1561\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-32) - -3)\/((-1)\/(-20)). What is the highest common divisor of c and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128084 - -128088. Let l = 10 + -6. Suppose -8 = -l*p + n, 4*p + 4*n + 5 - 13 = 0. Calculate the smallest common multiple of p and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 1034 = -5*x. Solve -x*y + 48*y - 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6357915, -6357916, -6357917, -6357918, -6357919, -6357920?\nAnswer: -6357921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -975*k**4*l + 1721*k**4 + 3805631*k*l - 2*l wrt k?\nAnswer: -11700*k**2*l + 20652*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936518 is divided by 423?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540) - (sqrt(540) + 4*sqrt(540)*-1))\/(-3*sqrt(108)\/(sqrt(9) + -4*sqrt(9))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1033 + 1032.93804. Let z = 0.0416 + q. Round z to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29255343 or -29255341?\nAnswer: -29255341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 19. Let x(o) = 2*o**3 + o**2 - 4*o - 1. Let u be x(q). Calculate the greatest common factor of 22 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14720996, -14721007, -14721032, -14721077, -14721148?\nAnswer: -14721251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -4810753\nAnswer: 7216129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -450878 + -146122. What is n rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*a**5 + 110*a**2 - 1.\nAnswer: -9300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m - 2. Let f(w) = 6 + 2*w - 2*w + w. Give -2*f(v) + 11*x(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-2 + sqrt(121) + sqrt(121) - sqrt(121))*-4 - sqrt(121))\/((sqrt(880) + sqrt(55))\/sqrt(5)) + (-4 + sqrt(110)\/(sqrt(10)*-2))*5.\nAnswer: -20 - 19*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 4*k**2 + k - 2. Let j be o(4). Suppose m + 3300005 = -x, x + 5*m + 3300015 = j*m. What is x rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201454873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 3. Suppose 0 = 2*i, 5*f + i = -3*i + 25. Solve -f*l - 10 = -d*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 1 + 1)*(141 + 147 - 2*h - 286) in the form l + o*h and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 - 65. Let d(a) = -25*a**2 - 83*a - 325*a**2 + 28*a - 890. Let u(k) = -13*k**2 - 2*k - 33. Let t(h) = r*u(h) - 2*d(h). Differentiate t(m) wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 144*l - 295. Give u(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -8. Suppose -j - r = -4*j. Factor -6 - 11*w**4 - 10*w**4 + j*w**5 - 2*w**5 - 48*w**2 + 3*w**4 + 42*w**3 + 27*w.\nAnswer: 3*(w - 2)*(w - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 a when four letters picked without replacement from {a: 5, k: 2, g: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -61. Let d = -14 - h. Let u = 12 - d. Which is the nearest to 0.1? (a) u (b) -0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1080 and 4644?\nAnswer: 46440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(2*(-3*sqrt(76)*6 - (sqrt(76) - -5*(sqrt(76) + 0)))**2 + 4).\nAnswer: 175116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {r: 6, b: 1, e: 1, u: 3, f: 3, z: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -228, -11\/3?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13903889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36 - -40 - (-13)\/(-7)) + 4. Is 1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/4 - 32*g**3\/3 - 11*g**2 - 175*g - 93. Is w(-32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c3 (base 15) to base 10.\nAnswer: -408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89062 = -21*b + 89650 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-27) + 4\/(-18). Let i(w) = 8*w**2. Let r be i(p). Suppose -r - 4 = -4*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 55*v - 163. Let b be m(51). Solve -6 = -44*x + b*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64662, -129313, -193964, -258615?\nAnswer: -323266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.18, 5\/4, 0.05, 25\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278 is divided by 146.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b48d (base 15) to base 4.\nAnswer: -111223033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 14*d**2 + 110*d + 1. Calculate l(-12).\nAnswer: -1031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2 - 2 - 2 - 2*y + y**3 + y**2 + y**2. Suppose 1 = f - 3. Determine n(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b28 (base 12) to base 6.\nAnswer: 11252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**6\/720 + g**4\/12 + g. Let j(q) be the third derivative of u(q). Let l(z) = 4*z. What is l(j(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let t(p) = 6*p + 5. Let x(i) be the first derivative of 7*i**2\/2 + 6*i + 5. Suppose 3*c + 2*c = 25. Let r(l) = c*x(l) - 6*t(l). Give h(r(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*h = 315*h - 189 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1189\/2 + -592. Which is the closest to -2? (a) 2\/13 (b) r (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 2*w**2 + 22*w**2 - 6*w**3 - 17*w**2.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -24259, 1\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215*10068.\nAnswer: -2164620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 130.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 48\/7*x**2 + 12\/7 = 0.\nAnswer: -3, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175499.312 rounded to the nearest 100?\nAnswer: -175500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -956 - -952. Which is the fourth smallest value? (a) v (b) -0.013 (c) 2\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w - 2*w)*(-2*w**3 + w**2 - w**2 + 0*w - 2*w**3 + 0*w + (-w**2 + 3 - 3)*(w - 2*w + 0*w) + 0*w**3 + 3*w**3 - w**3 - 5*w**3 + 5*w**2 - 5*w**2).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -251914 divided by 1\nAnswer: -251914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.4. What is the biggest value in 1, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/21 - -3 - 156\/(-399).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**2 - 14*d - 7. Let n be l(-14). Is (n\/(-6))\/(2\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 547 + 2*w - 5*w**2 - 547 in the form v*w**2 + y + n*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-880\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 17?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5 + 232*i**4 + 4188*i**3 - 54918*i**2 - 738477*i + 6460398 = 0. Calculate i.\nAnswer: -211, -21, -18, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110271918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2\/25 (b) 0 (c) 2\/7 (d) 1201 (e) -44\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, -1\/4, -1\/6, -0.7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 113. Let y(z) = -13*z - 346. What is -7*l(f) - 2*y(f)?\nAnswer: -2*f - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195 - 191. Suppose 3*f + 4*h - 974 = 0, d*f + 198 = -2*h + 1500. List the prime factors of f.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*y - 69*y - 65*y**3 + (5 - 1 - 3)*(2*y**3 - y**3 - 3*y**3))*(-18*y + 7*y - y).\nAnswer: 804*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6024 + 6031 - 12055 + 183*s**2.\nAnswer: 183*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 417*i**2 - 23*i - 44. What is the units digit of o(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13.27 or 1\/9?\nAnswer: 13.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-109)\/(-6) + -18) + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + o = -78 - 107, 3*s + o + 113 = 0. Let k be (1\/3)\/((-6)\/s). Suppose -4 = -k*n + n. Solve -5*y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*q - 12326 - 21844 = 503*q + 40350 for q.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 6*t**2 + 36*t.\nAnswer: 6*t**2 + 36*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-267)\/(-12) + 1 + 15\/(-12). Solve -49 = -n*v + 39 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 - 92. What are the prime factors of (-6)\/(-9) + h\/3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 437086*k**2 - 240168*k?\nAnswer: 874172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g - 276. Calculate a(-25).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -52*w - 8. Let q(g) = 106*g + 18. Let p(o) = 9*i(o) + 4*q(o). Let l(x) = -16*x**2. Give l(p(v)).\nAnswer: -30976*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13269738?\nAnswer: 2, 3, 2211623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3\/2 - 8*l**2 + l\/2 + 8 = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 13 = -u. Suppose -u*p = -4358 + 1693. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23542574 by 51403.\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2. Let a(f) = -111*f - 110*f - 121*f - 3*f - 91*f. Calculate n(a(l)).\nAnswer: -380192*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (98 + 310)*-7*(-11)\/616?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6)*3*1. Let q be -2*12\/8 - (-92)\/(-2). Let z be (-162)\/(-21) + (-14)\/q. What is the highest common factor of i and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -25*b**2 + 50*b - 36. Let a(x) = 9*x**2 - 17*x + 12. Let j(g) = 11*a(g) + 4*s(g). Let k = 19 + -7. Let c be j(k). Solve 2*d + 10 = -c*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15933*h + 111177. Determine r(7).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -732 and 0.1?\nAnswer: 732.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 10?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/957 and -1\/2312?\nAnswer: 2212584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535332 is divided by 76739.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/8, -0.62, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 2*o**2. Let r be -2 - 6*2\/(-3). Let c be y(r). Suppose 2*a - 18 = -c*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, e: 1, f: 4, u: 3, t: 8}. What is prob of sequence te?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**3 - 70*v**2 + 558. Let j(y) = 7*y**3 + 46*y**2 - 372. Let o(z) = -5*a(z) - 7*j(z). Differentiate o(p) wrt p.\nAnswer: 3*p**2 + 56*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-3)))\/t)\/t**5 assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 93, 178, 263, 348, 433?\n\"Answer: 85*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88697 is divided by 1858.\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 383, 0.4, -3, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 421423?\nAnswer: 421432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*p - 32 = 0, -3*p + p = 4. Let d be (i\/10)\/((-2)\/(-16)*-1). Solve -5*g = -5*y + d + 32, -2*y + 3*g = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710 divided by -220?\nAnswer: -271\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 16*q**2 + 5*q + 7. Let d(b) = -14*b**2 - 6*b - 6. What is -4*d(n) - 3*m(n)?\nAnswer: 8*n**2 + 9*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -153, -5, -2\/11, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 2 (b) 0.2 (c) 1 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 - 2*t**3 + 3*t**2 + (5*t + 5*t - 2*t)*(2*t - 2*t + 2*t**2).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 10 + 118 - 18 = -14*a - 16*a, 4*c + 12 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80202 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**5\/190 - 28*l**4\/19 + 332*l**3\/57 + 10*l - 1. Let b(q) = 0. Calculate q.\nAnswer: 0, 2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) -0.5 (c) -0.04 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -584 + 579. Sort -2, -1, y, 0 in decreasing order.\nAnswer: 0, -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/692106 and 48\/40026797?\nAnswer: 240160782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3 - 52*c**2 - 241 with respect to c.\nAnswer: -3*c**2 - 104*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbhbbbbbbbb.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 148 - 148 - 92*u**2 + 17*u**2 in the form t*u + k + q*u**2 and give q.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5768, 26854, 62004, 111224, 174520, 251898, 343364?\n\"Answer: d**3 + 7026*d**2 + d - 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 * 3015.404\nAnswer: -147.754796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34131 or 34134?\nAnswer: 34134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k**3*w**2*y**2 + 2*k**3*w*y**2 - 2*k**3*y**3 - 26*k**3*y**2 + k**2*w**2*y**2 - 3*k**2*w - 519379*k*w**2*y**3 + 5*w**2*y**2 wrt y.\nAnswer: -12*k**3 - 3116274*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3605 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5602, 11176, 16750?\n\"Answer: 5574*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -449 * 7.2.\nAnswer: -3232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 3. Let a be c(-1). Let t be (-1)\/((12\/48)\/(174\/(-8))). Suppose 0 = -4*n + 3*r + 280, 0 = -5*n - a*r + t + 263. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9049?\nAnswer: 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 814280146 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -0.9. Suppose 2*w + 5*u = 5 - 11, 0 = -w + 4*u + 10. Which is the closest to w? (a) -0.1 (b) 3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 16, 110*w - 107*w - 8 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*x - 334*x + 1 + 367*x.\nAnswer: -615*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8*f + 785 = 6*f, -2*f - 2355 = -3*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 10*o + 4. Let p be w(10). Suppose -4*u + 92 = -8. Suppose -61 + u = -d. What is the greatest common divisor of p and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 28. Let q be n(9). Let f be (-33)\/3*1\/q. Solve y + f = -a + 2, 0 = -2*y - a - 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 75 + 1221. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -13. Suppose -4*b - 5*d = -2175, -2*b + 2*d + 1352 - 242 = 0. What is the highest common divisor of b and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 164184*i*p**4 - 2*i*p**2 + 1352*i - 48 wrt p?\nAnswer: 656736*i*p**3 - 4*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 0.4 (b) 4 (c) 9 (d) -7\/46 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 6*t - 16. Let u be s(-6). Let k(x) = x**2 + 15*x - 11. Let i be k(u). Solve 0 = -i*c - 7 + 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2 + h**2 + 3*h - h**3 + 3*h**3 - h**3 - 6*h**2. Calculate p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ydyyyyyyyyddydyyyy.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 29 + 6)*(-7*a + 2*a + 2*a)*(-2*a**2 + 3*a**2 + 15*a**2) to the form v*a + h*a**2 + b*a**3 + u and give b.\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/28)\/(9\/2). What is the third biggest value in -2\/9, w, 1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r + 7. Suppose -4*z + 42 = -2*c, 0 = -2*z - 4*c - 8 + 54. Suppose -z*k = -k + 168. Let v(u) = -2*u - 3. Calculate k*v(x) - 6*h(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1599a + -2?\nAnswer: -159a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 + -17c1?\nAnswer: -177e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*b - 0*b + 12, d + 20 = 4*b. Suppose 10 = c + b*h, -c - h = -2*c. Calculate the lowest common multiple of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16002155.\nAnswer: 5, 13, 246187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1867, -1856, -1829, -1780, -1703, -1592, -1441?\n\"Answer: k**3 + 2*k**2 - 2*k - 1868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.9, 19, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 33*b - 276 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.3, -5, 3\/4, 0, 21\/8, -3\/5, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1232 + 1234. Solve i*m = -m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)*z*z)\/z)**(-5\/12)*z**0*z**(-2\/11) assuming z is positive.\nAnswer: z**(-103\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 3*s + 2. Let p be g(-2). Solve -5*o + 5*j + 20 = 0, p = o + o - 3*j - 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 9. Let o be v(-7). Suppose 2*x = o*n - 6, x = -4*x + 5*n - 15. Let k be (4\/6)\/((-2)\/(-3)). Put 0, x, k in ascending order.\nAnswer: x, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 9 = -3*c + 25, -2*c = -4*i - 36. Solve 2*g + c = 5*x, 15*g - 18*g = -4*x + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21327?\nAnswer: 3, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000569332 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0 + 0*o - 1\/40*o**6 + 1\/6*o**4 + 0*o**3 + 0*o**5 + 2*o**2. What is the second derivative of b(k) wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128375 divided by -325\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by -27.\nAnswer: -170\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.885 - -1.2. Round x to 2 dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 454 + -1355\/3. Find l such that 2\/3*l**4 + t*l - 8\/3*l**2 + 2\/3*l**3 - 2\/3 - 1\/3*l**5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.0534 (b) -0.4 (c) 11\/12 (d) -3\/5 (e) -15 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -y - 15, r + 2*r = -3*y + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246543 and 1333?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let m = -5 + 2. Let x be (4 + m)\/(b\/13). Solve -2*q + 8 = 0, -x = 3*f - 2*q + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*u - 4*u + 2*u)*(0 + 0 - 1) + 16 + 6*u - 16)*(-3*u**2 + 2*u**2 + 3*u**2).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2612 to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otb when three letters picked without replacement from tbohkqhkb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/7)\/2)\/((288\/(-1176))\/6*-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 8\/9, -250, -5, 1.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 13*f - 326. Determine b(-14).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295020434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*p - 1. Let v be ((-13437)\/(-39))\/3 + 1. Let u = v + -116. What is the third biggest value in 0.5, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -9 - 51. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/(87\/58)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 8*a = -25*a + 177, 0 = u - a - a + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 425656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m**3 + 4*m**5 - 9*m**4 + 5*m**4 + 4*m**2 + 8*m - 18*m**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.92 - -0.12. Let z = n + 3. Which is the closest to 1? (a) 0.04 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175.7*0.031.\nAnswer: -5.4467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 38, 2, -30 in decreasing order.\nAnswer: 38, 2, -4, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1 + 4 - 427*s - 3. Let c = 7 + -8. Is l(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*a = a - 78, -26 = 3589*c - 3591*c - a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9229 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011102 (base 3) to base 9.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378454.\nAnswer: 2, 7, 11, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b313950 - -18?\nAnswer: b313968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31342 - -125397\/4. Solve y**4 + 5\/8*y - f*y**2 - 1\/2*y**3 + 25\/4 - 1\/8*y**5 = 0 for y.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.94114 millilitres?\nAnswer: 0.00194114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31132151 + 1?\nAnswer: -31132150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 divided by 6?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19581510 to the nearest integer?\nAnswer: 4425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 23*r**3 + r**2 - 2 + 2*r**4 - 22*r**3 + r in the form x + z*r**3 + i*r**2 + g*r + q*r**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 28675.98 weeks?\nAnswer: 17343232704000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583291?\nAnswer: 583291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3313121 - 11?\nAnswer: 3313110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 - 71. Solve 2*p = -0 - j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9751?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1091262105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-72) + 83\/(-9). Let x be (-3 - u)*3\/(-2). Let p = x - -10. Is p < -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -478*p - 130676. Calculate g(-268).\nAnswer: -2572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1141 = -2*b - 2*x, 5*x = -5. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -60*l**3 - 11*l**2 + 28*l - 10. Let o(j) = 31*j**3 + 6*j**2 - 16*j + 5. What is -7*o(q) - 4*s(q)?\nAnswer: 23*q**3 + 2*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28447 - -93676307?\nAnswer: 93647860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 i, 1 a, and 1 u when four letters picked without replacement from {c: 1, m: 2, a: 8, u: 1, i: 1, o: 2}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364079622, 728159244, 1092238866?\nAnswer: 1456318488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1268, 702, -240, -1558, -3252, -5322?\n\"Answer: -188*p**2 - 2*p + 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 55, 152, 251, 352, 455, 560, 667?\n\"Answer: s**2 + 94*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/((-493 - -515) + (-923)\/42) + 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/12)\/3*114 and 61\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 12. Let b(q) = q - 10. Let n(f) = -5*b(f) - 4*m(f). What is n(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1277970577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 45 = 5*p, 0*z + 3 = -3*p - 3*z. Let m(g) = -2*g + 1. Let q be m(p). Let x(i) = i**3 + 7*i**2 - 2*i - 5. What are the prime factors of x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24808236551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 46, -0.1, -66586 in decreasing order.\nAnswer: 46, -0.1, -6, -66586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, k: 7, a: 1, j: 1, g: 4}. What is prob of sequence aijk?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.3? (a) 0 (b) 153 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.28 + 1. Let t = -0.1129 + 4.3929. Let j = l + t. What is the closest to 1 in -0.2, j, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from aarraaaawhaaraapjpaa?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o - 4. Let v be 10*(-1 + (-2)\/(12\/(-9))). Suppose 3*q = v*k + 10, k = -2*k + 5*q - 22. What is the smallest common multiple of i(-3) and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.005307192\nAnswer: 0.010614384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 - (-5 + -3 + (2 - -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*m + 26. Let l be 2\/12 + 22\/12. What are the prime factors of 0\/l - 2 - m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-320)\/(-4) + (2032\/381)\/((-2)\/3) + -13.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 - (-1 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3411)\/2653*(-28)\/6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (11 + (93 + -25 - 21))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3)*((-5)\/2 + 1). Which is greater: 13\/7 or b?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168326238295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1 + (-4)\/2). Suppose i = 4*p - 9 - 7. Suppose -3*m - 322 = -5*m + 3*r, m = -p*r + 139. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 19 + 49. Let i be (-28)\/(-3) - (-4)\/6. Solve z - h*z - i = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 10*v**2 - 9*v - 14. Let y be b(11). Suppose 5*u + 535 = 5*o, -2*o = -4*u + y*u - 184. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*o - 5 - 13, 0 = 2*o + 5*z - 12. Calculate the least common multiple of 9 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(363) + sqrt(96)\/sqrt(2).\nAnswer: -2 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35377 - 22160. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 22. Let r be v(8). Let w = -12 + r. Let j(d) = -71*d**w + 2*d + 8 - 5 + 70*d**2 + 2. Calculate j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 6493942453056*u - 6493942453056*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16031682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**3 + 12*x**2 + 9*x. Let r(t) = t**5 + t**4 + 18*t**3 + 23*t**2 + 19*t. Let w(s) = -7*l(s) + 3*r(s). Factor w(c).\nAnswer: 3*c*(c - 2)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/5 smaller than 100\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1539) - (1 + sqrt(1539) + -1 + sqrt(1539))) - (1*(sqrt(1539) + 0) - (sqrt(1539) + -1)*3)) + -2 + -3)**2.\nAnswer: 576*sqrt(19) + 24688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19099 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 1, n: 9, c: 1}. What is prob of sequence bc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57080 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048430832 rounded to four dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j = r - 2979, -2*r - 3*j + 5945 = 0. Suppose -t + r = -325. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-135))\/((-1)\/((-10)\/(-8)))*-34?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/302 - 5063\/453. Find the common denominator of (-268)\/60 + (-1)\/5 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 8*b**2 + 21*b + 3. Let f be r(-6). Calculate the greatest common factor of f and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 5 = 2*a. Let t be (1 - a) + 0 + (3 - 1). Suppose 5*n = 5*k + 170, -t*n + 132 = -k - 2*k. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 5*q + 0*q. Let a(h) = -h**2 + 1. Let d(m) = 3*m**2 - 1. Let k(c) = a(c) + d(c). Calculate w(k(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*a + 1360 = -1030*a + 519*a for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 - 105 = 7*j. What is the remainder when j is divided by -1*(36\/(-4) + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -24\/65?\nAnswer: -24\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 11:04 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12281 is divided by 5575?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2054004 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*b = 85*b - 279128. List the prime factors of b.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, z: 2}. What is prob of sequence cz?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1031195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1410, -5638, -12684, -22548?\n\"Answer: -1409*j**2 - j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 5\/6 (b) -199 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b - 3a?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:48 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*v - 4 = 0, 2*v - 4 = o + 4*v. Let q be o - -12*(-36)\/104. Sort 0.4, q, -3\/2 in increasing order.\nAnswer: -3\/2, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 - 14*l**2 - 19*l - 8. Let i be c(-4). Factor -i*u**4 - 48*u**2 + 120*u**3 + 0 + 32\/5*u.\nAnswer: -4*u*(5*u - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, -3\/14, -3\/4, 671 in increasing order.\nAnswer: -3\/4, -3\/14, 0.4, 2, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 + 100. Let u be (26\/n)\/13*1*-9. Solve 2 = -u*m - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18529 less than 57252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) 0.1 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2*r)\/r)**(-47))**(-19)\/((r**(-1\/3))**(-3\/4))**(6\/17) assuming r is positive.\nAnswer: r**(60721\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 632*g**3 + g**2 - 632*g.\nAnswer: -g*(g - 632)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8357 is divided by 4165?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-11)\/11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 20*a - 67. Determine n(-11).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*u**3 - 367*u**3 + 23*u**3 + 124*u**3 - 14*u + 17*u - 3*u.\nAnswer: -98*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71298341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36077103 is divided by 507?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/42*42\/4)\/(12\/32)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-12)*2430\/(-14175)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3299 is divided by 242?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4147603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0\/j)\/(j**(-1\/16)*j))\/(j**(2\/7)*j*(j\/((j*j**5*j)\/j*j*j))\/j) assuming j is positive.\nAnswer: j**(647\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-9520)*-102)\/((-8)\/(-20)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 0.061990719106.\nAnswer: 3.061990719106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3 + 6 - 4 - 3*h. Let g(m) be the first derivative of m**2 - 4*m - 7. Let a(o) = -o**2 + 3*o + 3. Let j be a(3). What is j*u(n) + 4*g(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-590*g - 723*g + 68*g)*(-3 + 0 + 0 + (-3 - 2 + 4)*(-1 + 6 - 2)).\nAnswer: 7470*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -5) + -12 - 0 - -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2262)\/754)\/((-1)\/(3\/(-102))).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 8*y + 32. Calculate the highest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {p: 8, m: 7, f: 2, h: 1, v: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 3\/5 (c) 2\/11 (d) -0.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -27*k - 5. Let q = 25 - 28. What is the units digit of y(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14300 and 400?\nAnswer: 57200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 153*h**2 + h + 5 - 17*h + 19*h. Let n be 25\/(-10) + 2\/4. Is p(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*c - 154, 2*c + h + 2*h + 154 = 0. Let q be (22\/c)\/((-1)\/7). Solve q*a - a + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from addsdasdsadss?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 16*w = 800. Let d = -37 + w. Is d a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*l - 1 = 0, -4*l + l = 2*u. Let g be -5*(-1)\/u*-3. Let d = 27 - g. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 936.9801ug?\nAnswer: 936980.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.2, -3, 0.84, -16\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18600 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(176) - sqrt(11)) + (sqrt(11) - (sqrt(539) + 0 - sqrt(11))))**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/5)\/(p\/(p**(-1\/15)*p)))\/(p**(-6\/7)*p**6))**7)**(1\/6) assuming p is positive.\nAnswer: p**(-263\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8076 - 8074. Solve -5*m + 4*j = -i*m - 5, -3*m = 2*j - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - q - 1. Let d be v(-1). Let y be d\/5 - (-9800004)\/(-20). Round y to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72854376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 397434.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -367259 divided by -3?\nAnswer: 367259\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*j - 4660 + 10488 = 0 for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2971.033 tonnes in grams?\nAnswer: 2971033000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 z, 1 m, and 1 y when four letters picked without replacement from qrzym?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/7)*d\/(d*d*d**(-1))*(((d\/(d*(d*d**(-2)*d)\/d))\/d)\/d)**(-2\/57) assuming d is positive.\nAnswer: d**(71\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 7*n - 8*n = 0. What is the hundreds digit of 3 + -5 - (-563 + n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6135, 6150, 6171, 6198, 6231, 6270?\nAnswer: 6315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 912\/(-38) + -24?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from kggrkxg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = 20. Let s be (12 - 10)\/(f\/(-14)). Suppose 3*b + 5*q = -3, -5*q = -2*b + 4*b + s. What is the second biggest value in b, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/6 - 11*n**3\/6 + 9*n**2\/2 + 796*n. Give i(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*r + 4 = 0, -7*u - 4*r + 12 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(432) + -1 + 4)*-4.\nAnswer: -48*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -37. Let r(q) = -163*q**3 + q**2 + 3*q + 4. Is r(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 6 = 66. What is the remainder when ((-30)\/(-20))\/(n\/530) is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1680 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/4, 0.37, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/118 and 145\/2781024.\nAnswer: 2781024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 1542*r - 110976.\nAnswer: 3*(r - 64)*(r + 578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*(576\/(-104))\/(-24)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 77*i. Let w(v) = -7*v - 8*v - 9*v + 16*v. Let p(k) = -2*k. Let a(r) = 5*p(r) - w(r). Calculate a(c(d)).\nAnswer: -154*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 455*g - 587 - 21649 = 0 for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -1\/6*j**4 + 0*j**3 + 3*j + 0*j**2 + 0. Let c(l) = -4*l. Give m(c(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -2 + (-2 - 2). Let q be -6*-2*(-1)\/(-3). Suppose 2*m = 4*v - 0 - 12, q*m - 3*v + 9 = z. Solve 2*u = -m*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181763.\nAnswer: 181763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/2))**(12\/5) assuming h is positive.\nAnswer: h**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(85) - sqrt(85)) + sqrt(85) + -3*(sqrt(85) + sqrt(85) + sqrt(85)*1))\/(-6*sqrt(15)\/sqrt(3) + (sqrt(5) - sqrt(10)\/sqrt(32))).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 6. Let x = -122.12 - -114.12. What is the third smallest value in -0.4, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12532 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -164092.\nAnswer: 9\/82046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l\/(l\/(l*(l\/(l*l**(4\/9)))\/l)))\/l)**(-3\/19)\/((l\/((l**(-5\/6)\/l)\/l*l))\/(l*l*l**(-17))) assuming l is positive.\nAnswer: l**(-681\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977134 not equal to 3977134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311 - -30211023002?\nAnswer: 30211021031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, t: 10, g: 1, a: 1, y: 1}. What is prob of sequence yagk?\nAnswer: 7\/116280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3250.44 + 3250.47. Let p = -2.3 - -2. Let g = -0.2 - p. Sort g, x, -1 in decreasing order.\nAnswer: g, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 + 3*g + 1. Let r(t) = t + 30. Suppose 39 = 3*c + 114. Let q be r(c). Calculate l(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:31 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvyupyvb. Give prob of sequence vbpy.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 * -1554\nAnswer: 652.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - t**2 + 2*t**2)*((0*t + 3*t - t)*(-3 - 3*t + 3)*(-2 + 4 - 5) + 2*t**2 - 3*t**2 + 2*t**2).\nAnswer: -19*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 1884?\nAnswer: 41448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3746058, -3746057, -3746056?\n\"Answer: b - 3746059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1313 or 1?\nAnswer: -6\/1313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*h**2*j**3*s + h**2*j**3 - 40*h**2*j**2*s - 11*h**2*j*s + 69*j**6 + 15*j**2 + j*s wrt j.\nAnswer: 60*h**2*s + 6*h**2 + 8280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -106\/49, -1\/2, -4\/3, 1\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*w = 26, -4*j + j = 3*w + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 2 (c) -2 (d) 10 (e) 8 (f) -1\/3 (g) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*r**4 + 355*r**3 - 24794*r**2 wrt r?\nAnswer: 504*r + 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1752 - -61464?\nAnswer: 63436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (24*(-9)\/(-2880))\/(2\/16*-2)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73411 is divided by 1881.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0 (b) -9.4 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/70)\/(11\/(-1485)). Solve -48*o - 12 = -s*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -1?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -6bd?\nAnswer: 6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 5*r**4\/12 - 333*r. Let y(k) = 13*k**2. Give y(v(i)).\nAnswer: 325*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142.7 - 146.7. What is the nearest to -2\/3 in p, -2\/13, -232?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3768 or -35\/6?\nAnswer: 3768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -847497*c - 244538.\nAnswer: -847497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 2 (c) 11 (d) -35 (e) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssa when three letters picked without replacement from {a: 7, s: 8, k: 2, c: 2}.\nAnswer: 196\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 - -132. Calculate the least common multiple of 18 and 3\/(z\/12)*21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.41 - -2.752. Let j = z + -0.29. What is j rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 7533819*m**2 + 4729865293485*m - 4729872827307.\nAnswer: 3*(m - 1)*(m + 1255637)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10)**16 assuming g is positive.\nAnswer: g**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1881.41 + 1964.3. What is r rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-49))\/(1\/14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z - 2. Let h be t(4). Suppose 2*d + h - 458 = 0. Let m = 427 - d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6 - 2*18\/(-40). Factor -d + 0*p + 2\/5*p**2.\nAnswer: 2*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 69*a - 50*a + 1099 + 281 = 0 for a.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.035 - 0.065. Let l be ((-72)\/(-81) - 1)\/(10\/(-12)). What is the nearest to t in l, 0.7, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12458, -12452, -12446?\n\"Answer: 6*p - 12464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-28) + (-1370)\/(-252). Let w = 7 + -3\/2. Let n = o - w. Which is the closest to n? (a) -3 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513456.\nAnswer: 2, 3, 19, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 3:22 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 15*t - 10. Let u be y(5). Suppose -2*n + 3*n - u = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 637202836 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 8 - -17) + (-4 - 13 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:44 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/(2\/(-4)). Let b be (3 + v)*10\/(-4). Let f(m) = -m**3 - 6*m**2 - 5*m + 4. What is the units digit of f(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3587*s - 7734 - 43807 = -116*s + 21350 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 285 - 283. Let f = -40\/13 - -306\/91. What is the smallest value in f, -0.1, -13, q?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*(-7)\/140 - -3 - (-2)\/(-5). Let j = 7 + -3. Sort -3\/4, b, j, 0.07.\nAnswer: -3\/4, 0.07, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from erevejwee?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0)\/(3\/18). Let s(y) = -2*y - 84 + 31 + 26 + 27. Let d(m) = -m. Give f*d(k) + 5*s(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*t + 42 = -138*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (19 - (10 - (-1 - -7)))) + 71\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 55 = -175. Let m(p) = p**3 - 10*p**2 - p + 12. What is m(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.6*-177\nAnswer: -3292.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a**(-3\/13)\/a)\/a)\/a)**(-40)\/(a\/(a**(-1\/17)*a)*a\/(a**(-5\/8)*a)) assuming a is positive.\nAnswer: a**(156551\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 + -131. Let s = -41 - 14. Let r = s + 60. Solve r = -3*w + v*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 51. Give i(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6942, -10049, -13156, -16263, -19370, -22477?\n\"Answer: -3107*u - 3835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3 + 8\/3*t - 7\/3*t**3 - 1\/3*t**5 - 1\/3*t**2 + 5\/3*t**4 = 0. Calculate t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12 and 28\/(-63)*1\/(8\/(-134))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15435 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/130*((-25)\/2)\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 35099.06 minutes?\nAnswer: 2105943600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/34*8\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 100, 99, 98, 97, 96?\n\"Answer: -b + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 11*l - 25. Let r be y(-4). Solve 0 = -r*x + 5*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*196306779\/(-65435595) + 3. Let u = v - -252079722513\/14090464790. Let c = -352\/17 + u. Find the common denominator of 67\/18 and c.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 0*l**3 + 0 + 2\/9*l**4 - 2\/3*l**2 - 4\/9*l = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7990.6 rounded to the nearest 100?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.2876 milliseconds in minutes?\nAnswer: 0.00322146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/14)*z**17)\/(z**(-3\/11)\/(z\/(z\/z**(-1\/14))*z)) assuming z is positive.\nAnswer: z**(201\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 419626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/4 - -12)*(-1 - (-20)\/16).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 6*i + 2400. Suppose 4*f = 76 + i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((0 + -2)*-2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (28\/(-6))\/((-8)\/84) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = 19*h - 10*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4413655310 to the power of 1\/2, to the nearest integer?\nAnswer: 66435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7928, 7905, 7880, 7853, 7824, 7793, 7760?\nAnswer: 7725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/720 and 103\/120.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) 2 (b) -0.2 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/42)\/((-13)\/182). Let y be 1\/2 - 10\/(-4). Let i = 12 - 7. Sort i, p, y in increasing order.\nAnswer: p, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 716*j - 17 + 14 - 714*j + 148*j**2 as o + b*j + v*j**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3337345, 3337356, 3337363, 3337366?\n\"Answer: -2*n**2 + 17*n + 3337330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 16355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w + 1. Let p be q(2). Let h = 31 + p. What is the third derivative of -2*z**5 - 17*z**h + 13*z + 3*z**2 - 13*z wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 9. Let p(w) = -3. Let v(g) = -3*i(g) + 8*p(g). Let d be v(2). Let a be d\/((-21)\/8 + 3). What is the greatest common divisor of 216 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*t + 19 - 21, -2 = 2*t - 4*f. Solve t*c = 5*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 1, j: 2, i: 1, g: 2, b: 3}. Give prob of picking 2 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3967141 less than -34.173?\nAnswer: 3967106.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29778*c**4 - 181*c**3 - 25664386*c**2.\nAnswer: -714672*c - 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10621439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14217, -14218, -14219, -14220?\nAnswer: -14221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454916?\nAnswer: 2, 3, 263, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6504 - 16128 = -401*o for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 4*s - 3. Let o be v(3). Suppose o = -17*l + 22*l + 340. Round l to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58.23 - 58. Let d = z - -4.77. What is the third smallest value in 0.5, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 12*x**2 + 0 - 3.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.1 + 11. Let g = 1204.18633 - 1209.2863319. Let x = g - d. Round x to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-6)*((-950)\/(-57))\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21224432 (base 5) to base 7\nAnswer: -1346521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 17 + 11)*(-5*n**3 + 5*n**3 + 2*n**3) + 1 - 1 - n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(160))**2 + sqrt(125) + 0 - (5*(sqrt(55)*1 + sqrt(55)))\/sqrt(11).\nAnswer: -5*sqrt(5) + 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2.9. Which is the closest to u? (a) -5\/4 (b) -5 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*m + 3 = -3*m, -5*r = -m - 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a day?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*k**5 - 89748*k**4 + 500778*k**3 + 265337*k**2 + 45053*k + 2526 = 0. Calculate k.\nAnswer: -421, -1\/6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 53*o + 35*o = -82*o - 7950 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 36.34319g?\nAnswer: 36343.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -712029 - 3?\nAnswer: -712031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, 789, -4, -10 in decreasing order.\nAnswer: 789, 13, 2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6774657 and 10227?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1234979490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 163, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186.496*-5.\nAnswer: 932.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d, 112*v - 16 = 108*v - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-20)\/(-8)*33\/(-27) and (-1)\/(-2) - (-103)\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-12))\/((-1)\/8*-2). Suppose 3*i - 16 = u. What is the lowest common multiple of i and ((-2)\/(-4))\/((-5)\/(-60))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -27 + (11 - -13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**2 - g + 2. Suppose -h + 4*h + 3 = -6*m, -m + 7 = -h. Calculate b(m).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 1. Let u be g(2). Let b = 6 - u. Let n be b\/(3*2\/18). Solve -n*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12923 - 5813. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 13 = -m + t, -2*t = 3*m - 49. Suppose -4*p - 3669 = -3*i, m = -2*p - 3*p. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1)*(-7 + 26 - 4). Solve x = -4*r - r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-202)\/(-80) + 25\/(-200))*300\/(-18)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359.468 grams to micrograms.\nAnswer: 359468000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 - (-84 - (26 + -63))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 368.43 + -367.82574. Round y to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-1 + 1 + y**2) + (-4*y + 2*y + y)*(-15*y - 20*y + 5*y).\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 2*x**2 - 3*x - 3. Let u be d(-2). Suppose 0*f + 4*f - 60 = -2*w, -u*w = f - 20. What is the lowest common multiple of 18 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15574965 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eatttdaaeeatteeaoea. What is prob of picking 1 a, 1 e, and 2 t?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and -0.045.\nAnswer: -13.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 7 + 8 = 3*u, 5*s = -4*u - 3. Suppose -27*w + u = -26*w. Solve 0 = w*q + q - 4*k, 4*q + 24 = -2*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144487 is divided by 821.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 212183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*t**2 + 86*t**2 + 171*t**2.\nAnswer: 134*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2031956?\nAnswer: 2, 97, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 84. Let z be 3\/(-12) - 105\/i. Sort 4, 0, -2, z in decreasing order.\nAnswer: 4, 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469, -456, -453, -466, -501, -564?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745533411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208690 and 1148.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2143003 (base 6) to base 14\nAnswer: -2ad75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863595985.\nAnswer: 5, 659, 565583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 14, -4, -38, -88?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25610994 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 63*l - 388. Calculate the least common multiple of n(-6) and 48.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 268 - 268. What is the nearest to p in 2\/5, -0.08, -3, 1\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-30)*10*-4*42\/9\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Suppose 12*w - 9*w - 120 = s. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262351.\nAnswer: 262351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 370 + -352. Calculate the least common multiple of (-11 + 1)*(-6)\/5 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36917, 73835, 110725, 147575, 184373, 221107, 257765, 294335?\nAnswer: 330805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11212872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130495?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4888, 4778, 4474, 3886, 2924, 1498?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -194, -3, -4, -2, 20 in descending order.\nAnswer: 20, 5, -2, -3, -4, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -30.\nAnswer: -30, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/28)\/(1\/(-6)). Let o be (-3)\/s - (-184)\/12. Solve 0*y = 5*y - 4*z + o, -z = 2*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -86.332 and -0.055742099.\nAnswer: -86.387742099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -7979.\nAnswer: -9\/7979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -51. Suppose 9*n = r*n - 84. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 2. Suppose 0*r = 3*r - g. Suppose -r*t - 2*t + 36 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1343, 495, -1815, -6319, -13749, -24837?\n\"Answer: -122*l**3 + l**2 + 3*l + 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-39 + 1)*(21 + -17)\/8\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/45 and -31\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7. Let n(s) = -2*s**4 - s**3 - s**2 - 1. Let l(t) = t**4 - t**3 - t**2 - t - 1. Let k(j) = p*l(j) - n(j). Find the second derivative of k(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 3:21 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = -2*x, 4*x - 11 = 5*l + 1. Suppose l = 4*a + 19 - 31. Solve -4*b = -4*w + 28, a*b + 3*w - 17 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 675*v - 27. Let d(y) = 96*y - 4. What is -36*d(h) + 5*z(h)?\nAnswer: -81*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 51427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**3 + 14*m**3 + 8*m**3 - 15*m**3 + 14*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 135 = 2*m. What is the remainder when m is divided by 101\/7 + (48\/14)\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 141255? (a) -5 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 4*q + 5*q)*(-1 - 1 - 1) + 2 - q - 4 + 0*q.\nAnswer: 8*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -134*u**3 - 2*u**2 - 24*u - 21. Calculate the least common multiple of 195 and q(-1).\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (sqrt(208)*-3)**2*-5 + sqrt(208).\nAnswer: -9360 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/20*-1 - 0. Let w = -14 + 20. Suppose 2*t + w = 4. Which is bigger: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -5, 0, 1, 31\/54, -40, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -527\/3 - -1058\/9. Is -59 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -650, -1165, -1696, -2249, -2830, -3445, -4100, -4801?\nAnswer: -5554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -221, -210, -195, -176?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/8, -1, -0.042?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1865 + 2861. Let p = -932.7 + j. What is p rounded to 0 dps?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 + 9*l**3 - 30*l**3 + 5*l**3 + 5*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-3\/14)*s)\/(s*(s**(-7)\/s)\/s*s)*(s**(-2))**(-50))**(-9\/4) assuming s is positive.\nAnswer: s**(-13833\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = 3*g + 212 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -5*w**2\/2 + 5*w - 457. Calculate q(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 8*k**2 + 4*k. Let m be s(-7). Solve 5*v + 6 = m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + (-16 - -80) - -94.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 941224221.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28757 + -6955. List the prime factors of l.\nAnswer: 2, 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/551 in 2\/17, -4, 9, -1, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10001110011101011000 (base 2) to base 9\nAnswer: 1078376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75278 is divided by 2352?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543*b + 1404 = -537*b. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 6, m: 4}. Give prob of picking 1 w and 1 i.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 10:19 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/11 - 92*r\/11 - 410\/11.\nAnswer: -2*(r + 5)*(r + 41)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.31 (b) 1\/5 (c) 121 (d) 0 (e) -999 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 4, 5*a + 41*s - 14 = 40*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -511936.7997522.\nAnswer: 511936.7997522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16037198 to the nearest integer?\nAnswer: 4005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 9*q + 181 + 247 + 0*q.\nAnswer: -9*q + 428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 56\/12 + -3. What is the third biggest value in -0.3, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79309 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 3500891.\nAnswer: 3500886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 30*j**2 - 165*j + 166. Calculate r(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 2*n**2 + 6*n + 4. What is d(-4)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 39. Suppose g*t + 13 + 2 = 0, 4*o + 5*t - 13 = 0. Solve -o*s = -3*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**4 - 7*g**2 + 127*g.\nAnswer: -48*g**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -4035?\nAnswer: -4041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -0.5. Is z greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/44)*(64\/(-110))\/(1250\/(-9375))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/896 and 43\/36.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 k when three letters picked without replacement from uuuuuuuuuuuuukuuuuuu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 7*l - 3. Let p be k(8). Let s be (p + 2)*(-6)\/18. Solve 5*a - 3*h = 12 + 1, 4*a - 32 = -s*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3855*z**5 + 133*z**3 + 12*z**2 - 72822542*z?\nAnswer: -77100*z**3 + 798*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161 (base 14) to base 11.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(143) + (-1*1*sqrt(143) - sqrt(143)) + (sqrt(143) - 4*sqrt(143)*-2))\/((sqrt(110) + (sqrt(110) - sqrt(110)*1) + sqrt(110))\/sqrt(10)*4).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-2)*9*16\/(-720)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1160754 and 15248?\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, g: 5, v: 2}. What is prob of sequence qqq?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10 + -1 + 10 + -11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115 - -3) + 13 - -41.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -36058314\nAnswer: 7211662.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/12 - c**3 - 9*c**2 - 20*c. Calculate the remainder when 35 is divided by b(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0264 (b) 1\/6 (c) -8\/3 (d) -0.4 (e) 170\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 3:51 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 22*u - 302. Let v(w) = -w + 4. Let f(m) = -t(m) - 8*v(m). What is the tens digit of f(-43)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 441\/5 + 1198\/5*s**2 + 318\/5*s**3 + 1\/5*s**5 + 1281\/5*s - 39\/5*s**4.\nAnswer: (s - 21)**2*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**7\/210 - 31*y**6\/40 + 31*y**4\/3 + 89*y**2. Find the second derivative of r(k) wrt k.\nAnswer: 12*k**2 - 558*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opoppoioppooooppoo. What is prob of sequence opi?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 8*y + 4. Let x be r(-8). Suppose -b = -x*b. List the prime factors of 1 - 3 - ((-58)\/1 + b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 6 + 5 + p. Calculate i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 2*i. Let q be z(-4). Let r(v) = -v**3 + 7*v**2 + 7*v + 4. What is r(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g = -5*l + 35, -5*l = 3*g - 3. Let c be (-4)\/l*(-3 - -6). Is (-149)\/c + 6\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156.74 - 334.85. Let l = v + 177. What is l rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 2, 2\/2699, 0.2, 1.6, 2\/19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50522109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 538*u + 205. Let z(i) = -15*i + 1. What is x(z(r))?\nAnswer: -8070*r + 743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)\/(sqrt(48)\/sqrt(4)) + ((2*sqrt(550))\/sqrt(11) - sqrt(50)))\/((-6*(sqrt(70) - -2*sqrt(70)))\/(sqrt(28)\/sqrt(4)*2)))**2.\nAnswer: 20\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -68612, 5, -4 in decreasing order.\nAnswer: 14, 5, -4, -68612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2519?\nAnswer: 4\/2519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105.96 + 19.06. Let j = -51 + 138. Let i = q + j. Do i and -3\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7 + a22?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {c: 2, s: 4, x: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*p**2*y + 9071510*p**2 + 6247*p*y - 19*y wrt y?\nAnswer: 6*p**2 + 6247*p - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + l)*(-1 - 2 + 1) + 6*l - 3*l - l + 0 - l + 0 + (-7 + 4 - 4)*(-2*l + 2*l + l) + 4 - 4 - l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(171) - sqrt(171)) + sqrt(171) + sqrt(19))**2 + (sqrt(684) - (sqrt(684) - 3*sqrt(684))*3)**2.\nAnswer: 8*sqrt(19) + 33821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -71 and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6462.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 + 29*a - 6 - 3 - 24*a + 4*a**2. Let y(z) = -2*z + 4. What is -2*b(t) - 5*y(t)?\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + v + 6 = -23, -3*b = v - 11. Solve 4 + b = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.8 (b) -13 (c) -2 (d) -73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/5, -2\/11, 0.01, -27, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/4 - (-24)\/(-32). Suppose -4*i + 23 = 5*h, 3*i - i = c*h - 11. Solve 0 = -f - 2*j - 7, f + 1 + h = -j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88852.\nAnswer: 2, 97, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -57*p**2 - 17*p - 17. Let f(c) = -19*c**2 - 6*c - 6. Give -17*f(q) + 6*t(q).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178395, -178366, -178329, -178278, -178207?\nAnswer: -178110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - 8.4. Let q = -48.4 - p. Let b = 1 + -0.5. Sort -0.5, b, q in decreasing order.\nAnswer: q, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 89 = 344. Suppose -k - 2*j + 13 = -4*j, y = 5*k + 4*j. Let u = 29 - k. What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/(-10)*4070\/2849. Factor -8\/5 + 4*c + 2\/5*c**s - 6\/5*c**2 - c**3.\nAnswer: (c - 2)**2*(c + 2)*(2*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2.8. Let p = z - -0.6. Let i be 2\/7 - 52\/(-14). What is the nearest to -0.1 in i, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1849 + 2845 - 2197)*(-j - j + j) to a*j + f and give a.\nAnswer: 1201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 16*p**2 - p. Let g be z(-1). Let f = g + -12. Calculate the remainder when 2\/8 - 62\/(-8) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.4, -0.3, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198264 a multiple of 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**2 + 2*k - 2*k as q*k + u + s*k**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((-1447075540060)\/58632 + 1). Let a = r + -24680643. Let f = a - 2\/1047. What is the common denominator of f and -61\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2. Let d(u) = u + 63. Let g(o) = -981*o + 756. Let a(n) = 36*d(n) - 3*g(n). What is a(x(f))?\nAnswer: -2979*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11979*d**2 - 13357*d**2 + 3*d - 3*d.\nAnswer: -25336*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10536 divided by 17?\nAnswer: 10536\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6793 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2325\/(-290)*(12 + 1281\/(-105)) and 53\/248.\nAnswer: 7192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/27 and 54\/27 - 57\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 15, -x - 35 = -5*j - 5*x. Let a = j + -3. Let b(c) be the first derivative of c**2\/2 + 2*c - 1. What is b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16332, -4.\nAnswer: -16332, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3646?\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*v - 2*d, -4*v - 4*d = -0*v - 116. Let i(n) = -84*n - 8. Let b be i(-2). Let r = b - 124. What is the highest common divisor of v and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s + 1. Let k(y) = -5*y**3 - 20*y**2 - 53*y + 3. Let p(f) = -3*c(f) + k(f). Factor p(b).\nAnswer: -2*b*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/5)\/(-4) + -2. Let h be 10 + -13 - q*-6. Solve 4*u = u + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 220, 8.\nAnswer: -22, 8, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 1464 = -4*m. Let n = m + -119. Let s = 4 - -1. What is the smallest value in n, s, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 2. Let k(u) = -u + v*u + 2 - 2*u. Calculate k(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/15218 and -76\/4221.\nAnswer: 9176454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - (sqrt(144) + sqrt(144) + 2*sqrt(144) + sqrt(144) + sqrt(144) - sqrt(144))\/sqrt(4)) + sqrt(3600)*1)\/(-2*sqrt(300)*-1 - sqrt(300))*-4.\nAnswer: -24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 5344?\nAnswer: 5344.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*c + 60729 = 0, -41*a - 5*c = -38*a - 182238. What are the prime factors of a?\nAnswer: 3, 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/10)\/((-126)\/(-35)). What is the biggest value in 0.3, m, 0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + v. Which is smaller: v or -6.8?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5) - (-342)\/10. What is the remainder when (-14)\/119 - (-1126)\/u is divided by 1 + 0 - 4*-4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202002201122011 - 12?\nAnswer: -2202002201122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -84, -137, -190?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758767.\nAnswer: 758767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -172, -390, -694, -1084, -1560, -2122?\nAnswer: -2770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 7*x**2 - 6*x + 6. Suppose 4*r = -2*q - 6 + 34, 4*q = 4*r + 92. Suppose 0 = 5*n - q. Calculate the remainder when k(6) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*t = 2*h + 320, t + 2 = 0. Let n = -76 - h. Solve n*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214427476 to the power of 1\/3, to the nearest integer?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64984849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((806\/78)\/31)\/((-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1459408 by 364852.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 47845*d**4 + 239215*d**3 + 191330*d**2 - 40*d = 0.\nAnswer: -4, -1, 0, 2\/9569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 327502 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 293563.98s?\nAnswer: 81.54555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12487*q. Let b(o) = -2*o**2. Give b(f(k)).\nAnswer: -311850338*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 231 - 297 = 0. Solve 0 = 2*v + 4*l - k, -4*v + 29 = 2*l + 3*l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 c when three letters picked without replacement from {l: 6, f: 2, c: 1, x: 2, z: 7}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 5*s = -375 + 268, 46 = -3*j + 5*s for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847) + -2)**2 + 4 - (sqrt(847) + sqrt(847) + (1 + sqrt(847))*-6).\nAnswer: -44*sqrt(7) + 3402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/44 - 890\/(-55). Is ((-1399)\/(-4))\/((20\/r)\/5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16884683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 1275\/50 - 95\/(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956 at least -5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12*g - 30. Calculate m(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 46*v + 55. Let w be o(14). Let q(y) = -2*y - 5. Let r(a) = -a - 1. What is w*q(c) + 6*r(c)?\nAnswer: -4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11220112 + 0?\nAnswer: -11220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n**(1\/2)*n*n)\/n)*((n\/(n\/(n*n**7)))\/n)\/n)**(15\/7) assuming n is positive.\nAnswer: n**(195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 25*h - 1. Let i(l) = 504*l - 20. Let w(k) = -i(k) + 20*v(k). Let t(u) be the first derivative of u**3 + 4. What is w(t(a))?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -3 - 2)*39. Calculate the greatest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from qwss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 25, -1526.\nAnswer: -1526, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2169 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -93.5. Which is the nearest to 0.1? (a) -2\/5 (b) p (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1695*l**5 - l**3 + 469*l**2 - 1305484*l wrt l?\nAnswer: -33900*l**3 - 6*l + 938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3 - 1488*y**2 - 275608*y - 2609280 = 0.\nAnswer: -432, -302, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*y + 10. Factor -8*t**5 + 13*t**5 - y*t**3 + t**3.\nAnswer: 5*t**3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2333 + -10?\nAnswer: -3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 12*x + 14. Suppose 12 = -4*f - x*w, 4*f - 4 = w - 1. Which is the nearest to -0.13? (a) f (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 437.2 + -478. Let u = s + 1.8. Let i = u + 39.0000096. Round i to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/54508806 and -95\/2?\nAnswer: 54508806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 218*t**2 - 1354*t + 91. What is d(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -448.397 times -7\nAnswer: 3138.779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -36*l + 99. Calculate the greatest common factor of l and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 768 and 768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*k - 129*k + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1 times 1?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n - 36. Let s(p) = p**3 - 4*p**2 + 3. Let a be 2*1 + 2\/1. Calculate the remainder when c(-7) is divided by s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -103*x. Let o(l) = 411*l. Calculate 2*o(a) + 9*p(a).\nAnswer: -105*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.9 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 2600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 - 47*i**2 - 5*i + 427. Calculate q(-23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 - -228. Let g = b - 91.906. Let x = -0.09363 + g. Round x to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -2*t - 19*v + 13, 4*t + 2*v = 2. Let m(l) = -73*l**3 - 3*l**2. Let g(z) = -z**2. What is t*m(y) + 3*g(y)?\nAnswer: 73*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6.077 - 31269\nAnswer: -31262.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 28*t + 49.\nAnswer: (2*t + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 + -2)) + -3 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 4*d + 4*d - 9*d)*(-2*d**2 - 8*d**2 - 9*d**2).\nAnswer: -57*d**4 + 19*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 3*t + 2. Suppose -5*k = 3*p, -6*p - 3*k = -5*p. Let x be n(p). What is the second derivative of h - 14*h + 12*h - 22*h**x wrt h?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933806?\nAnswer: 2, 37, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 >= 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325 + -184. Let b = n - 55. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 2. Suppose -2 = -2*r, -2*m + 4*r - 7 = -9. Determine w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1758.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1390, 1940, 2490, 3040?\nAnswer: 3590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 + 142.3. Which is the nearest to -1\/5? (a) 1\/8 (b) w (c) -2 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + q**2 + 13*q**2 + (2 + 0 - 3)*(2*q - 2*q**2 - 2*q) + 10*q**2 - q**2 + 3*q**2 + (1 + 0 - 2)*(-2*q**2 - 2*q + 2*q).\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12393, -12298, -12151, -11958, -11725?\n\"Answer: -u**3 + 32*u**2 + 6*u - 12430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2086 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -435 divided by -35882\nAnswer: 435\/35882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 16*d**2 - 17*d + 4. Let l be j(-17). Suppose 41 - 81 = l*o. Which is the smallest value? (a) -1\/4 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36270295*f**6 - 2*f**5 + f**2 - 620636*f - 2.\nAnswer: -4352435400*f**3 - 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 545, 4\/119, 1\/1125, -0.4?\nAnswer: 1\/1125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 35 = -10*v. Let i(b) = 2*b**3 - 11*b**2 + 6*b. Give i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1024 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 - 29*n - 98)*(-1 - 55*n**2 + 15*n**2 - n**2).\nAnswer: 1189*n**3 + 29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*q - 19720 = 118*q. What are the prime factors of q?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14890025*y**4 - 6521676*y**2 + 4 wrt y.\nAnswer: -357360600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-5)*(-6)\/(-9))\/(4\/(-100)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 5*n**2 - n + 3. Suppose -2*q = -5 - 5. Let g be o(q). Suppose -54*i - 34*i = -88. Which is greater: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**5\/210 - f**4 - 83*f**3\/21 - f**2 - 1479*f. Determine y, given that d(y) = 0.\nAnswer: -83, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 29*j**2 + 21*j - 102. What is the units digit of c(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -92. Let g = -71.37 - l. What is g rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -a - 15 + 2, 3*i - 12 = 0. Let l(w) = w**3 - 2*w**2 - w - 3. Let b be l(a). Suppose -5 = -3*p - 2*p. Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4616\/1731*(-111)\/(-8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*p + 6*p - 419, 3*p = 4*o - 829. Let a be (7 - o\/28)*-7. Put a, 2, -118, -2 in descending order.\nAnswer: a, 2, -2, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 8*t + 3. Let u be s(-8). Solve 0 = 3*r - 6*r + u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 + 7*a**2 - 6*a + 10. Determine b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-20)\/(-12))*6. Solve p*n + 2*n = 12, 5*n = -4*z + 19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1719 divide 179371821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)*1)\/sqrt(11))\/(sqrt(7) + sqrt(7) + (sqrt(7) - 4*sqrt(252)))*-2.\nAnswer: 2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/4 - -3\/4. Let w = -44.7 + 45. What is the second smallest value in w, t, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 670, 2457, 5936, 11671, 20226, 32165, 48052?\nAnswer: 68451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1238703 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-15))\/(2\/(-5)) - -5. Suppose 0 = -3*v - o*v + 6075. Let k = 1922 - v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 22*u**2 + 239*u + 27. Let p be s(8). Calculate the highest common factor of 14687 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1154220865 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - 14*u**2 + 12*u - 18. Let g be w(3). Solve 12 = 3*h - g*h, 24 = 4*c + 4*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6) - 3\/(-2). Suppose w + 0*w + b + 2 = 0, -4*b = -u*w + 26. Suppose g = -w*g. Solve 2*o + 3*o = g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 850*74217.\nAnswer: 63084450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 + 3 + 4*y**2 + 4 - 7*y - 2. Calculate q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 + 5*j + 8. Let y be -1 + 1 - (-11 + -2). Let a = 3 - 0. Let z(i) = 17 + 13*i + 0*i**2 + 0*i**2 - 4*i**a - 2*i. Determine y*l(b) - 6*z(b).\nAnswer: -2*b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by -74.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38*(-2)\/(-18) + 96\/(-432). What is the highest common divisor of 7 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - 2*z**2 - z**2 - 3*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 43 - 32 - -17 - 2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193562985.\nAnswer: 3, 5, 7, 11, 89, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 5877955*r + 41145440.\nAnswer: 5*(r - 1175584)*(r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -56*n - 1. Suppose 1 = 47*p - 46*p. Calculate the remainder when b(-1) is divided by 20 - p - (1 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d1911f + -9?\nAnswer: -2d19128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23243 + -3?\nAnswer: -23301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3*r - 5*r**4 + r**2 + 28*r**3 + 25*r**3 + 32*r**3 - 86*r**3 in the form g + v*r**3 + z*r**2 + u*r + a*r**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, -1116, 0.1754?\nAnswer: -1116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7068434 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1031311022302?\nAnswer: -1031311022310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490 divided by 6?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 - 36*j**4 - 4 + 37*j**4 + 26 wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 20. Suppose 7320 + 18180 = q*f. What is f rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 1. Let a(i) = -9*i**2 - 2*i - 2. What is -a(k) - 4*n(k)?\nAnswer: 5*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12385*x**6 - 21563*x**2 - 2*x.\nAnswer: -1486200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10110011111100101 (base 2) to base 8\nAnswer: -263745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*(234\/12)\/(-13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2)\/((-2)\/6). Let d = b + 6. Let q = 946 - 948. What is the nearest to q in d, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 4*m + 122 = 0, 0 = -4*d + 5*m + 5417723 - 5417680 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/11*w + 2\/33*w**3 + 0*w**4 - 1\/55*w**5 - 20 + 0*w**2. Factor a(v).\nAnswer: -(v - 1)**2*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -11. Let w = 2092\/11 + -190. Let p = 936.8 - 937. Which is the nearest to p? (a) k (b) w (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.21 + 0.21. Which is the closest to -2? (a) -5 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1 (c) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/17445 and 75\/2.\nAnswer: 34890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5024000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b + 22*b**2 - 3*b + 11*b + 10*b + b.\nAnswer: 22*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + -14.07. Let y = 13 + i. Let k = 1.1 + y. What is the second biggest value in -0.4, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.7354, 2, -1\/3, -0.4, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32221 (base 5) in base 3?\nAnswer: 2222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -q - 4*c + 6, 0 = q + 4*c + 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -229, -471, -801, -1219?\n\"Answer: -44*o**2 - 22*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -241*h**3 + 3*h + 2. Let w be 0*(-2)\/8 + 3. Suppose -7*v = -w*v + 4. Let o be i(v). Calculate the greatest common divisor of 30 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*r + 302972 - 302978 - 161*r)*(-3*r**2 - 2*r**2 + 6*r**2).\nAnswer: -118*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 28221855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -102\/277? (a) -2\/11 (b) 111 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003178213 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 131*w - 8. Let r(z) = -z**2 - z. What is h(j) + r(j)?\nAnswer: -j**2 + 130*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127\/2 - 65. Let s be (-2)\/(-12)*4 - (-16)\/(-6). Which is the biggest value? (a) s (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/9)\/((-6)\/9). Let g be (4\/6)\/((-24)\/(-36)). Let j be (-7)\/(140\/(-136)) - g\/(-5). Which is the third smallest value? (a) 2 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17549 rounded to 3 dps?\nAnswer: -0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*y**3 - 374*y**3 + 105*y**3 + 67*y**3.\nAnswer: -333*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 328467889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 26 = -11 + 64 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15995801 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = 0, 5*f + 0*b - 12 = b. Suppose -2*v = v + f, -4*o + 445 = 3*v. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a - 4*c = -34*a - 8, 4*c - 10 = -5*a. Factor 5\/4*k**5 - 95\/4*k + 15\/2 - 15\/2*k**3 - 5\/2*k**4 + 25*k**a.\nAnswer: 5*(k - 2)*(k - 1)**3*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 1.5. Let b = 131 - 171. Is b greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 + 536*r - 3*r**3 - 534*r)*(2 + 2 - 2) - 2*r**3 + 3*r**3 - 3*r**3.\nAnswer: 2*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-g**3 + 0*g**3 + 3*g**3) + 2*g**3 - 3*g**2 + 3*g**2 + (g**2 - 94*g**2 + 15*g**2)*(-3*g + g + 3*g).\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23834 is divided by 214?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.293 * 1457.\nAnswer: -426.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1327 + -2020040608.\nAnswer: -2020040607.8673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/180 - h**5\/120 - h**3\/3 + h**2. Let d(s) be the first derivative of v(s). Find the second derivative of d(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71789, 72931, 74073, 75215, 76357?\nAnswer: 77499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (644\/1104)\/((-4)\/(-48)) - -13.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*m**2 + 2*m**4 - 7*m**2 + 8*m**2 to the form a*m**3 + f + w*m**2 + t*m + c*m**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61678 - 33342. What are the prime factors of p?\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*((-471)\/314)\/(2\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 303568143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177211 (base 10) to base 15.\nAnswer: 37791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*y + 10, -y + 6 + 0 = -3*l. Suppose y = 3*s + 3*o - 738, -6*o + 8*o = 10. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 94 = -3*j, 10 = -2*y - 3*j + 60. Calculate the greatest common divisor of y and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 12 (c) -127\/415\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1492 - 1494.903. Round v to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from mwwwwewwvme.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -853da86 - -5?\nAnswer: -853da81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16158.75mg in nanograms?\nAnswer: 16158750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/5)\/x*x)\/x*x)\/((x\/x**6)\/x)*(x\/((x\/x**13)\/x))\/(x**(13\/2)*x))**44 assuming x is positive.\nAnswer: x**(2662\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggbgbb. What is prob of sequence bbg?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148 + 120 - 143)*(-6 - 4*u + 6).\nAnswer: 684*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.074 + 0.074. Let s = p + 46. Is s >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*s - 33 = 0, 112*r + 4*s = -91*r + 209*r + 50 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 84 in decreasing order.\nAnswer: 84, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = -9*f - 143 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*b + 0*b - 64 = 0, -2*b - 28 = -2*t. Is (-3 - t\/(-8)) + 74\/4 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 + -192. Let b be (3\/i*-18)\/(2\/5). Solve -8 = -2*n, b*x - 2 = -4*n + 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.19593 * 0.2\nAnswer: -1.039186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 90*u = -39*u + 660 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1 - 2. Let f(j) = j**3 - 4*j**2 - 10*j - 6. Let p be f(6). Put k, -1, p in increasing order.\nAnswer: k, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2449810*g = -2449611*g - 22487 for g.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {s: 3, u: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -117, 38, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2\/7 (c) -70 (d) -0.8 (e) 0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t + 8. Suppose 3*b - 4*b + t = 0. Let w = -7\/8 - -9\/8. Which is greater: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26615315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k - 2*k**3 + 17*k**2 - 17*k**2 to d*k + n*k**3 + l + t*k**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(3 + (-196)\/64). Let h be (-20)\/z - 39\/(-4). Let f = 3 + -1. Solve 0*c - f*g = -4*c - h, 5*c + 45 = -4*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.5, 0.02731 in ascending order.\nAnswer: 0.02731, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-4)\/(-20))\/(4\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(32\/(-3)))\/((-6)\/(-64))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 28, 26, 22, 16, 8?\n\"Answer: -p**2 + 3*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/5)*h**(2\/11))\/(h**(-2\/29)\/((h\/(h*(h\/h**(-2\/3)*h*h)\/h))\/h)) assuming h is positive.\nAnswer: h**(-8689\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 90*n**2 + 1763*n + 10494. Give l(53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*h - 395 - 2180 = 1612. What is the remainder when h is divided by (-2)\/11 - 3978\/(-99)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2480 is divided by (-4 - -28 - 25)\/(11\/12 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 5, -3, -2, -11487 in descending order.\nAnswer: 5, 1, -1, -2, -3, -11487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*c - 1075 - 2250 = 380 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 58. Let h = 23 - p. Let q = 0.3 - 2.3. What is the nearest to q in 0.5, 1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0\/3)\/2)\/2. Let n(g) be the first derivative of -g**4\/4 + g**3\/3 - g**2\/2 - 6*g - 23. Calculate n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3392?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h - 681 + 2155. Suppose -183 = -7*s - h. What is the least common multiple of 83 and s?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4280 is divided by 609.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1 - (-460)\/96) + ((-6435)\/264)\/(-65)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/3)\/(((q*((q*q\/(q**(-12)\/q))\/q)\/q)\/q)\/q)*(q**5*q*q)**(-47) assuming q is positive.\nAnswer: q**(-1025\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1459 * -0.5\nAnswer: 729.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-104 + 2*y + 102 - 3*y + 2*y**3)*(-798 - 5*y + 54*y - 47*y) as o*y**4 + h*y + n*y**3 + a + k*y**2 and give h.\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 8*m. Suppose -p + 4*z + z = 0, m = -4*z + 4. Suppose 3*b - 8733 = -p*n - 40742, -19212 = 3*n + 4*b. What is n rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g + 9. Let y(b) be the first derivative of -b**5\/60 - b**4\/12 - b**3\/2 - 95*b**2\/2 - 20. Let u(r) be the second derivative of y(r). What is u(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5081 + -0.4919. Which is the third biggest value? (a) -1 (b) 5\/3 (c) -0.3 (d) 1\/6 (e) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 231, 214, 179, 120, 31?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 1. Let x(w) = w**3 - 4*w**2 + 2*w - 6. Let y(a) be the second derivative of a**3\/3 + 7*a**2 + 2*a. Let f be y(-10). Give f*k(r) - x(r).\nAnswer: -r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27450522.\nAnswer: 2, 3, 11, 37, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*y + m, 6*m - m - 6 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5704*z - 6771*z - 13093*z.\nAnswer: -14160*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 572 + -567. Suppose v - 5*f = -14, d*v - 8*f - 18 = -5*f. Solve -13 = 3*k + s, -5*s - v = -8*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6001 times 0.21?\nAnswer: -1260.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 1.1, 0.1, 2, 3 in decreasing order.\nAnswer: 3, 2, 1.1, 0.1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122557?\nAnswer: 122557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1.1?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24469 - 0.5?\nAnswer: -24469.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1032 (b) -0.1 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 39 - 24 - 3)*(-2 - 2*i**3 + 2).\nAnswer: 170*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - e?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 3\/7 (c) 2 (d) -2 (e) 3 (f) -54\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u, 12 + 23 = 5*z - 5*u. What is the greatest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391.275684 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -7*a - 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.053 (b) -0.4 (c) 0.8568\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a factor of 3320590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -294 at most as big as -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 30*c**3 + 2*c + 6. Let k(g) = 31*g**3 + 2*g + 5. Calculate -5*b(z) + 6*k(z).\nAnswer: 36*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8183\/33 - 248. Is 0 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/6 + w**3\/6 + w**2 - 2*w\/3 - 4\/3 = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/57 - 4)*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.036 in -0.1, -2\/11, -83, 0.5, -4, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -0.2. Let u be 33\/(-36) - 2\/6. Let w(x) = 5*x**2 + 181*x + 670. Let p be w(-32). What is the biggest value in p, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o**2 + o + 1. Let z(g) = 7*g**3 - 13*g**2 - 13. Let w(u) = 4*p(u) + z(u). Is w(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -27 - (0 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -442.937?\nAnswer: -442.937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-15))\/(1\/(-54)). Let o = 54 + j. Calculate the remainder when (-3)\/3 - (-34 + -2) is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 74*k + 6083. Calculate the remainder when 53 is divided by f(-82).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 48*c. What is t(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612*n + 5376 = -836*n for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3715.1446 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 35 = -2*r + 15, -3*j - 4*r + 142 = 0. What is the highest common factor of j and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(550) + sqrt(550) + sqrt(550) + sqrt(550)*1 + sqrt(550))*6)\/sqrt(11))**2.\nAnswer: 45000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/((-18)\/(-3)) + 9)\/(1\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000022221100 (base 3) to base 4.\nAnswer: 12012311013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13006 = -4*o - 3*p, 3256 = 20*o - 19*o + 3*p. What are the prime factors of o?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3360205639 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21024, -42049, -63074, -84099, -105124?\n\"Answer: -21025*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284.904 nanograms to milligrams.\nAnswer: 0.000284904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2 - y**2 - 3 + 1 + 26*y + 2. Let n be p(26). Determine w so that -12 + 23 + n*w**3 - 11 - 2*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1592240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 428*b**2 - 193*b - 101185. Determine i(429).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/20)\/(1274\/(-455))*(-16)\/(-9)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*o + 656 - 160 = 0, 504 = -d - o. Let h be d\/(-8) + (-5)\/(-20). Calculate the greatest common divisor of 42 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsddffd. What is prob of picking 2 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 + 7*u - 5. Let z be l(5). Suppose 5*d - 28 = 47. Let r = d - z. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 92486152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 3*h + 44 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 1. Let a be b(-1). Suppose -a*p + 4*c + 4 = 0, 4*p - 4*c = 6 + 6. Let g(y) = -y**3 + 5*y**2 + 8*y - 6. What is the tens digit of g(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 4*u + 16*u + 30*u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**4\/10 + 2*a**3\/3 - 7*a**2\/5 + 6*a\/5 + 6. Factor n(g).\nAnswer: -2*(g - 3)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000118524 to 7 dps.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 495910 (base 12) in base 10?\nAnswer: 1191900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 + 98. Let y be p\/105*(-2675)\/(-20). Let a = -23 + y. What is the third biggest value in a, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -39*c + 4. Let f(v) = -172 - 77 - 58 + 62 + 2380*v. Let y(n) = -4*f(n) - 245*l(n). Let k(r) = 4*r. What is k(y(w))?\nAnswer: 140*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/48 and 127\/89616.\nAnswer: 89616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007891 rounded to 5 dps?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-495995)\/69)\/(-227))\/((-5)\/(-21))\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 2121.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = j + 10233, 3 = 3*j - 4*j. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 30 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1001 = -5*l, 0*l + 2420 = -5*b - 4*l. Let f = -216 - b. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -17*z - 9. Let d be g(-7). Suppose 0*i + 2*i = d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70d + -3?\nAnswer: 70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 94. Let u(z) = z + 23. Let w(b) = -2*g(b) + 9*u(b). Give w(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, d: 10, z: 2, x: 6}. What is prob of picking 2 y, 1 z, and 1 d?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1058*x + 503. What are the prime factors of t(6)?\nAnswer: 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581550289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -220.8, 2.4, -1, -0.2, 3\/7?\nAnswer: -220.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 210 = 5*c. Let h be -4 - (-19 + 7) - -5. Let f = h - c. What are the prime factors of f?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1027 = 3*i + 4*g, 0*i + 3*i - 1031 = -2*g. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {m: 3, p: 5, f: 4}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 10*u + 3. Let m be d(10). Suppose -m*x + 644 = x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9.7 or -14212?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 2. Let y be b(-6). Let v be -2 + 20\/4 + -45. List the prime factors of 172\/y - (-12)\/v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 32*b**2 + b - 3. Let m(a) = a**3 + 1. What is -d(o) - 3*m(o)?\nAnswer: -3*o**3 - 32*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/7 - 73508892*o\/7 + 450296433588972\/7.\nAnswer: 3*(o - 12251482)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 133 (c) 5 (d) -13 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 98*f. Let k(o) = -89291*o**2. Give k(x(r)).\nAnswer: -857550764*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*a*c*g + 1055*a*c + 4261*a*g + 35*a + 24*c + 2*g wrt g.\nAnswer: 17*a*c + 4261*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5755?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**3 - 5*y**2 + 2*y - 2. Let a(f) = 10*f**3 + 16*f**2 - 7*f + 7. Let g(t) = 6*a(t) + 21*k(t). Factor g(r).\nAnswer: -3*r**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411475 is divided by 10537?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 4*x - 5*x)*(1 - 7 - 2).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(2 + 9\/(-5)). Let g = 725.959 - 5.559. Let r = -720 + g. What is the nearest to 0.1 in r, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**7\/210 + 5*n**4\/24 - 5*n**3\/6 - 7*n**2. Let s(x) be the first derivative of c(x). What is the derivative of s(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**5\/30 - 16*s**3 + 254*s. Let v(c) be the second derivative of f(c). Let d(b) = 15*b**2. Determine v(d(l)).\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*v - 2153*v + 431*v + 431*v + 426*v + 431*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffpvofovfppfpvif. Give prob of picking 1 o and 1 i.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 6*j - 6. Suppose 24 = -4*u + u. Let k = j - u. Calculate the highest common factor of 24 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3701370143 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3913 or -3888?\nAnswer: -3888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {p: 1, s: 3, b: 2, v: 4, e: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, -136, -716?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/8 + (-92)\/368.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8935 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 238 = -283. Let r(q) = q + 6 + t + 0*q - 11. What is r(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43907?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 131.663 in -194, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266 - -291. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(1700)*-6 + -4) + 4 + 0 + 1)**2.\nAnswer: -1080*sqrt(17) + 61281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0 + 8\/25*x**5 - 29\/30*x**4 + 14\/15*x**3 + 0*x**2 - 1\/75*x**6 - 56*x. What is i in a(i) = 0?\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let u(i) = -2*i**3 - 14*i**2 + 12*i + 9. Let t(o) = -o**3 - o**2 + o + 1. Let p(d) = m*t(d) - u(d). What is the units digit of p(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2993177154?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide (-546)\/9*((-5400)\/9)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/270*(-2 + 32\/10)\/1.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 491 - 617.55. Let f = m + 643.65. What is f rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 11:26 PM?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57\/910 + -1\/70. Which is the closest to x? (a) 3 (b) -1\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65120574 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 10:19 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 5*w + 18. Solve -h - w*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 14*x - 26. Let z be g(9). Let c(i) = -i**3 + 17*i**2 + 38*i + 2. Let q be c(z). Solve 0 = -q*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 8, v: 6}. What is prob of sequence ivf?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 28448.997 months?\nAnswer: 2370.74975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 + 88 - 10*q - 206.\nAnswer: -10*q - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -k - 4*k. Let b(v) = -6*v - 7. Let z(q) = 4*q + 7. Let g(s) = -s + 1. Let w(n) = -g(n) + z(n). Let y(u) = k*w(u) - 6*b(u). Calculate y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10341 and 7854947.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - 5*z**2 + 7*z**2)*(-z**2 - z**2 + z**2) - 9*z**4 + 9*z**3 - 9*z**3 + (4*z**4 + 5*z - 5*z)*(0 + 2 - 3).\nAnswer: -22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525 - 304 - 458 + 1745 - 458 - 32*o.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(23 - 1792\/84)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -76. Let g = -3047.2 + 3047. What is the fourth biggest value in i, -2\/9, 6, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/87*(-1)\/7.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 5*q**2 - q + 12. Let k be h(-4). Suppose k = 5*b - b. Solve -g + 24 = -4*d, 5*g - 2*d - 10 - 20 = b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-2) + (-1)\/(-2) + 5. Suppose r*w - 105 = -4*w. Factor 5*p**2 - 10 + 1337*p - 1322*p - 4*p**2 + 4*p**2 + 5*p**4 - w*p**3.\nAnswer: 5*(p - 2)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27485192 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15))\/(5544\/(-121275)).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.231 - 4435?\nAnswer: -4523.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c = -2745799 + 13374547. What is the third derivative of 408798 - 184*w**3 - c - w**4 - 300*w**2 wrt w?\nAnswer: -24*w - 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153130 - -301504?\nAnswer: 104334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let o(d) be the third derivative of d**4 - 2*d**3 + d**2. Let x = -352 + 351. Let h(q) = -q + 1. Let g(j) = x*o(j) - 12*h(j). Determine g(b(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, j: 2, d: 3}. What is prob of picking 3 d and 1 j?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 0*u + 5*u + 9*u as p*u + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + (6 - 7 - -13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.096, 6\/5 in ascending order.\nAnswer: -9, -0.096, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-124)\/(-42))*-12.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 20*o - 70 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130131141 (base 5) to base 2.\nAnswer: -10011001110110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:31 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*h + 30 + 180 = 0, 0 = 3*t + 2*h - h - 155 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -2 - (-3 + 1). Let g(u) be the third derivative of 1\/21*u**f + 0 - 1\/210*u**5 + 0*u**4 - u**2 + 0*u. Solve g(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Suppose 29 = 3*z - 4*w, 0 = -z + w + 2 + 6. Suppose z = f - j*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-8)*(-129668)\/(-231). Let l = m + -210. Factor -5\/2*w + l*w**2 + 3.\nAnswer: (w - 3)*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 - -0.08. Let z = -4.1 - l. Sort -3, z, 4 in decreasing order.\nAnswer: 4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:03 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25.41082um?\nAnswer: 0.02541082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44719853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1782 and 1584.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 1*(8 + -2). Suppose -4*k - 44 = -4*m, 5*m + k = m + 59. Let i = m - h. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, -6\/67, -6.8?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 12. Does 10 divide s(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*d**6*r + d**3*r**3 - 10*d**2 - 4*r**3 + 2 wrt d.\nAnswer: 5880*d**3*r + 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 493393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65161519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 16*j + 1. Let f(h) be the first derivative of 33*h**2\/2 + 2*h + 1235. Calculate 2*f(t) - 5*g(t).\nAnswer: -14*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -331445354?\nAnswer: 331445351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9198 - -0.0802. Which is the closest to 2? (a) -3\/16 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Suppose -2*y - 3*w + 8 = -y, 0 = -2*y + w - x. Let c = 229\/3 - 77. Are c and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 2 (c) -0.1 (d) -2\/5 (e) 46 (f) -3\/5 (g) -0.24\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 6:37 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25740220 by 1287011.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(80) - sqrt(80)) + 5)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v + 2*v**2 + (5*v**2 - 3*v**2 - 3*v**2)*(-5 + 2 + 4) + (5*v + 3*v - 6*v)*(-2*v + 2 - 2) + 2*v + 5*v**2 - 2*v - 4*v**2 - 1105 + 1105 + 116*v.\nAnswer: -2*v**2 + 116*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3a4 (base 13) to base 3\nAnswer: 212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p - 46 + 46)*(3*p - 3*p + 3*p**2) to y + s*p + u*p**3 + b*p**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507949806 a multiple of 3391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351800133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10012120122 (base 3) in base 14?\nAnswer: -19004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134\/(-3)*(-78648)\/52432?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24014233 (base 6) in base 14?\nAnswer: 156c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 42.\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*u - 2754, -4*y - 1450 - 2232 = -u. What is y rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 582\/(115\/35 + -3). Suppose 2*p - z = -p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 8:09 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*-5 - (sqrt(40)*-1)\/sqrt(2))\/((sqrt(196) + 6*(sqrt(196) - 1*sqrt(196)))*-3).\nAnswer: 4*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 - (-22)\/3. Suppose -r*l + 4 = -24. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -220 - -311. Let o = d + -91. Solve -y + 6*r - 3*r - 9 = o, -2*y + 5*r = 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.24 * -0.1505.\nAnswer: -0.18662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4973 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 17. Let n = -4 - -9. Suppose -3*f + 7*f = -y + 31, -n*f = -y - 32. Is f bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from iyyiyyyyyyyyiyyy.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 + (-4)\/(240\/111228) + -11. What is the second smallest value in c, 5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.24 or -1\/2?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 - (-19)\/(-10). Let y = w - -31\/15. Let a = 196.8 + -197. What is the smallest value in a, y, -2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -0.0329.\nAnswer: 0.1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 2:08 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 77348310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 33, 55, 93, 153?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 x when four letters picked without replacement from {r: 3, l: 6, c: 1, x: 4}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -87?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**6\/120 - h**5\/10 - h**4\/4 - h**3\/2 - h**2. Let v be y(-5). Find the third derivative of q - v*q**2 - q - 2*q**3 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-4)\/1)*2. Let r(u) = -u**3 - 4*u**2 - 2*u + 7. Let b be r(-4). Let c = b - 19. Put 0, m, c in increasing order.\nAnswer: c, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17506 - 17582.39. Let i = -0.189 + 76.189. Let m = v + i. Round m to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 10378160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-250)\/(-65)) + 0 + (-10)\/25.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 218\/(-24)*8\/28 and (-8)\/(-200)*5\/3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 9*y**2 + 12*y + 13. Let x be (-3)\/(-4) - 5375\/500. Determine o(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7129.532 milligrams to micrograms.\nAnswer: 7129532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1419 and 5160?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 1.206.\nAnswer: 1.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 9 = 3*u + 24, 0 = 3*u + 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 4*b + 1)*(5 - 2 - 4).\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6532932 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2 + 2)*(2*u + 0*u - 3*u + (38*u - 345*u - 35*u)*(1 - 5 + 3)).\nAnswer: 682*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7846*s**4 - 20*s - 35?\nAnswer: -94152*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.1. Let i = -390.8 + 390.7. What is the closest to q in 2\/21, -5, i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a52 (base 13) to base 2\nAnswer: -10100100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6275?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 934375 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*-5)\/(sqrt(891)*-3).\nAnswer: -10*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/25)\/(1\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 99*a - 32. Let n(l) = -53*l + 15. Calculate -5*n(y) - 2*q(y).\nAnswer: 67*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 13, j: 5}. What is prob of picking 2 t?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33853)\/15356 + 12\/(-22).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 551 - 67. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 + 8*h + 9. Let l be u(-7). Let d = l - 2. Suppose 2 = g - 5*f + 5, d = 2*g + 4*f - 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 245*z + 164*z + 124 + 72*z + 145*z - 126 in the form x + g*z and give g.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1380 and -139\/78?\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 1 = -11*j. Let v(o) = -4*o**3 + 2*o**2 - o - 2. Let h(n) = -5*n**3 + 3*n**2 - 3. Calculate j*v(k) - 2*h(k).\nAnswer: -2*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 52, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4916 - 76*c - 9836 + 4920)*(2*c + 2*c - 2*c) to m + v*c + x*c**2 and give x.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1042609 + -668916. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*w + 25 = 0, -4*r + 0*w - 4*w + 12 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -130646 < -130564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6315)\/(-421))\/(10\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 936, 1069, 1202, 1335, 1468, 1601?\n\"Answer: 133*b + 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 29. Suppose -2*c + 3*i = -0*c + 9, 2*c - i = 1. Suppose -4*y + 16 = j - 68, -3*j = c*y - p. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Suppose -2*l + 28 = 5*j, -j - l - m = -6. Suppose 0 = i - j*i + 20, -4*i + 136 = 5*s. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11167671 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 2. Let b = -294 + 295. Let l(m) = -m. Suppose -5*c - 5 = -30. Suppose -4*a = c*j + 10 + 10, a = -3*j - 12. Determine b*k(o) + j*l(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2184*t + 2179*t = -49415. Is t a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s - 6. Let a(k) = 7*k + 5. Determine -6*a(m) - 5*t(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -1.5, 1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4 - (189\/(-14))\/(-9). Suppose j = -6*y - y + 1722. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10319*u**2 - 2577*u**2 - 2606*u**2 - 2572*u**2 - 2578*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 4*c**2 + 2*c + 9. Let o(i) = -2*i**3 - 3*i**2 + i + 10. Calculate 3*h(n) - 4*o(n).\nAnswer: 2*n**3 + 2*n - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -364?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35048 divided by -4\nAnswer: 8762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89114 - 9826 - 13060 = 4480*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 55.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 11*d**2 + 2*d + 27. Let i be f(-11). Let x = 29 + 26. What is the greatest common factor of x and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364251754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -272 in 3\/4, -1028, 1, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**3 + 542*d**2 + 18224*d - 9248 = 0.\nAnswer: -68, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36994903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: dd8 (base 15) to base 12\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-4)\/j))\/(j\/(j*j**(-5\/6)*j*j*j)*j*j))\/(j\/((j\/j**(-6\/11))\/j))**(-33\/4))**(27\/4) assuming j is positive.\nAnswer: j**(963\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11639996, -11639926, -11639856, -11639786, -11639716?\n\"Answer: 70*v - 11640066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/40)\/(13\/325)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**2 + 51*h. Suppose 244 + 22 = -14*i. What is the tens digit of v(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9616.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2404307.\nAnswer: 1451, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574371633?\nAnswer: 3, 11, 79, 20029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20200 (base 3) to base 12\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 35\/(-28) + (-3)\/4. Let v(j) = 7*j**2 + 16*j. What is the tens digit of v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2195396.\nAnswer: 2, 7, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*i - 44983, 5*t + 4*i + 92214 - 17253 = 0. What is t rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 35683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3701*w - 2123. What is the thousands digit of s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(999\/(-198) + 12\/22)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 38 - 18 = 0. Suppose 7*k - p*r - 1322 = 2*k, 4*k - 1070 = -3*r. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 + 3*l**4 + 0*l**4 + (0*l + 5*l - 2*l)*(5*l - 5*l + 2*l**3) + 8*l**4 + 8*l**4 - 17*l**4 as h*l + s + c*l**3 + n*l**2 + o*l**4 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from eneenkeeneenneennen.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 56916?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1034*n - 52727. Give w(-51).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9484307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(3*f - f + 0*f) - 1 + 2*f + 1)*(0*f**4 - 4*f**4 - f**4).\nAnswer: -20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4682616 and 1518?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47009 (base 13) in base 11?\nAnswer: -89438","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:14 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 295 = 9*r - h, -4*r = 4*h - 620. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5356*b + 26784. What is u(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Suppose -171 = -q*o - 3*o. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473 = f - 2*s, -3*f = -2*s + 3*s - 1426. Let z = -16627\/35 + f. Which is the closest to -2\/11? (a) -0.4 (b) z (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 + 0)*(-1)\/(-3). Suppose u*x + 2 = 2*s + 8, 3*x - s - 7 = 0. Suppose -3*r + 5 + x = 0. What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 4*h + 214. Let p be k(-16). What is the greatest common divisor of 4378 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 909455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 4*r**5 - 3*r**5 + (r**3 - 2*r**3 + 2*r**3)*(0*r**2 - r**2 + 3*r**2) + 2*r**5 + 11*r**2 - 11*r**2 + r**5 - 10*r**5 - 2*r**5.\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e97 (base 15) in base 3?\nAnswer: 100010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5, 3\/5, 2\/53, 43, 3 in decreasing order.\nAnswer: 43, 3, 3\/5, 0.4, 2\/53, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 246 = 0. Calculate the remainder when v is divided by -21*(-8 + (-550)\/(-75)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369288 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10602 divided by 13265.\nAnswer: -10602\/13265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 208. What is x(-44)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56167343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-52))\/((-1)\/(-2)))\/(136\/(-68)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 2 + 2)*(-16 + 12 + 2 - 16*l) as u*l**2 + n + h*l and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8025 and 377389?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + d - 38 = 0, -g = -0*d - d + 16. Let p = -11 - g. Let l(i) = i + 9. Determine l(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001246 rounded to 6 dps?\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 20081448.4 to the nearest 100000.\nAnswer: 20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffxxxf. Give prob of picking 3 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5*u - 18, 4*u - 20*j = -23*j + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4162316\/158999 - 30\/6913. Suppose 14 = n - 3*b - 15, -b + 129 = 5*n. Let f = r - n. Is 1 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7 = -1. Let m = -4 - j. Let h = 459 - 452. Solve h = m*i - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8 - 6 = 0, 301*d = -2*y - 2376 + 2362 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4528 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5764982, 5764991, 5765000, 5765009, 5765018, 5765027?\n\"Answer: 9*d + 5764973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(-4)\/(-6). Let r be (6 + -2 - s)*3. Solve t + 2*k = 3, -3*t - r = -2*t - k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 3 (c) -19 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 21, -2.\nAnswer: -2, 3, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 24333317?\nAnswer: 24333317.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjj. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 18 = -t - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2882.412 - -2882. Which is smaller: c or 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1 - (-1 + -4). Let y be k\/(-2)*2\/(-1). Suppose -2*d = -y - 77. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*i + 4 = 0, 3*o - 5*o - i + 12 = 0. Suppose o*s = -7 + 59. What is the remainder when ((-7)\/2)\/((-8)\/112) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8032 + 658693\/82. What is the common denominator of f and 59\/8?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4201.51 + 4194.80922. Let g = m - -6.75. Let q = g + -0.05. Round q to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 4*c**2 + 2*c + 5. Suppose 3*h = 8 + 16. What is the least common multiple of h and t(4)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37762 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 0*c = -41514. What are the prime factors of c?\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2935515115 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q - 25 + 85 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1987995?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -9 - -28 - 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112539905 is divided by 104011.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/58 - -37\/522. Sort -9, v, 0.2, -5.\nAnswer: -9, -5, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5800?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - q - 1. Let s(b) = -2*b**2 - 10 - 3*b + 7*b - 2*b - 2*b**3 - b - 28*b**5. Let k(c) = n(c) + s(c). Find the third derivative of k(j) wrt j.\nAnswer: -1680*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 99?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:42 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2408885038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + o + 6*o - 5*o + 2*o**3.\nAnswer: 2*o**3 + 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/183 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 2*t - 1. Let z be r(-2). Find k, given that 0 + 6\/13*k**4 + 2\/13*k**z - 6\/13*k**2 - 4\/13*k + 2\/13*k**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**7\/2520 - o**6\/720 - o**5\/60 - o**4\/2 - 2*o. Let n(v) be the third derivative of r(v). Let n(w) = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in -0.306, -43, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82306 (base 10) in base 8?\nAnswer: 240602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -522450 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -2*x - 4437. What is the highest common factor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*q = -0*b + 22, 2*q - 6 = 0. Let l be (-6)\/4*b\/2. Suppose 0 = -2*i - f + 314, -5*i + 0*f = l*f - 785. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*v**3 - 27*v**3 - 33*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1)*(40 - (15 + -20 - -16)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -15*r**2. Let u(z) = -4*z**2. Calculate 6*c(w) - 22*u(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z - 11*z + 37*z - 15*z + 23. Give h(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-54)\/441*(-19)\/((-228)\/(-140))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82990 is divided by 7144?\nAnswer: 4406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 - 3)*(3 - 2 - 3)*(1 + f - 1) as i*f + s and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1*-3)\/(-1))\/((-27)\/(-36)). Suppose -w*f + 49 = -459. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79166?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29769466777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -13*q**2 + 875*q - 265. Let t be n(67). Let c = -75 - -163. Suppose w = 5*v - 110, -2*v + c = v - 5*w. Solve -s - v = -5*p, t*s - 4*p + 3 = -p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9650916?\nAnswer: 2, 3, 11, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28053 - -28094. What is the remainder when 1631 is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 2*t**2 - 5*t + 2. Let v = 694 + -685. Let p(g) = -5*g**3 + 9*g**2 + 21*g - 9. Determine v*z(m) + 2*p(m).\nAnswer: -m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -571, -1472, -2949, -5002, -7631, -10836?\nAnswer: -14617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/175)\/(-6) + 1\/(-7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*27\/(-18). Let q(u) = 6*u**3 - u**2 + 3*u - 2. Let m be q(g). Factor -9 - m*n + 3*n**2 + 5*n - 5*n.\nAnswer: 3*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t - 7. Let w(r) = 10*r - 15. Determine 9*a(h) - 4*w(h).\nAnswer: 5*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12140 is divided by 176?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 6*r - 5. Let m be y(7). Let x be m\/(-6)*-3 + -1. Suppose -t - 3*g + 97 = 0, x*t + 3*t = 4*g + 239. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 798618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*16\/(-560))\/(1\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + (6 - 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3 - 7866929*g**2 - 2*g + 49299747?\nAnswer: -6*g**2 - 15733858*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/((-4)\/(-18)) - 0. Suppose 0 = b*v - 90 - 21. What is the remainder when v is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:36 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/2 (c) 0 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*g - g = -36, -4*r - g + 164 = 0. Let z = 81\/2 - r. Is -1 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 20\/(4 + 0). Let a(z) be the second derivative of z**5\/20 + 5*z**4\/12 + z**3\/2 - 3*z**2\/2 + z. Determine a(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 58*z**3 - 130*z**3 + 66*z**3 + z**4 to x*z**3 + n*z**4 + w*z + s + g*z**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12760 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 divided by 189?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 6*w**2 + 2*w - 20. Determine b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5420, 5400, 5366, 5318, 5256, 5180, 5090?\nAnswer: 4986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316558, -632907, -949256?\nAnswer: -1265605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3696)\/(-64) - (-6)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 k when four letters picked without replacement from kkkckykkcwyeckccckck.\nAnswer: 252\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3896 = 7*w + 3903 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1011001010110011101 (base 2) to base 15\nAnswer: -7368b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/726)\/((-12)\/198).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2304)\/(-572) - 4)\/(13\/(143\/2))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*a*p**4 - 442*a*p**2 + 310040*a + 2*p wrt p?\nAnswer: -136*a*p**3 - 884*a*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h - 14. List the prime factors of w(-7).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 10*k - 3. Let q be i(7). Let s = q + -12. Suppose s = -u + 2*u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791062 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/7616 and 13\/2856.\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 3 + 2*d + 167)*(-3*d**2 + 0*d**2 + 2*d**2) to the form v*d + n*d**2 + g*d**3 + s and give n.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 3*k + 3. Let r be i(-3). Let z(l) = -3 + r + 1 + 2 + 4*l. Calculate the remainder when 43 is divided by z(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94857063 less than -0.2?\nAnswer: 94857062.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -4 + 2 - -4. Suppose 0*b = -3*b - 5*v + 38, 4*b = i*v + 104. Solve 28*u**2 - 43*u**2 - 12 + 3 - b*u - 3*u**3 = 0 for u.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 16*b - 6 + 4*b)*(2 + 1 - 2).\nAnswer: 17*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2239 + 2240. Sort -8, 0, -47, v in descending order.\nAnswer: v, 0, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (6 - 2)) + -2 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**9*s*s*s)\/s)\/(s**(3\/5)\/s))**(-3\/5) assuming s is positive.\nAnswer: s**(-171\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1205, -4431, -9677, -16937, -26205, -37475, -50741?\n\"Answer: f**3 - 1016*f**2 - 185*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*c - 35 = 35, -3*c + 65 = 4*m. Sort 6, 5, m in decreasing order.\nAnswer: m, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147583?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/215456 and -43\/24.\nAnswer: 646368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*d + 8. Solve -t - 1 + d = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 + 6939*n**2 + 8679*n + 1736 = 0.\nAnswer: -1, -1\/4, 1736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*q + 69538 = 62306 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, t: 4}. Give prob of sequence ooto.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 5*c + 5*c)*(c - c - 2*c + (-c - 2*c + c)*(5 + 0 + 0) - 2*c + 3*c - 2*c)*(-1 - 2 + 2)*(7*c + 9*c - 5*c).\nAnswer: 429*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/262 and 41\/786.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -262 divided by 131\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35879 is divided by 309.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 4*j = -140. Suppose -5*f + 399 = 4*w + 106, -3*w = -2*f + 131. Let i = j + f. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = 0, 0*v - 2*g = -3*v + 56. Let l = v - 18. Find the second derivative of 10*i**l + 2*i**2 - 4*i**2 - 10*i wrt i.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(180))**2*6 + -4 + (sqrt(245) + (sqrt(245) + 6*(2*sqrt(245) - sqrt(245)) - sqrt(245)) - (-1*sqrt(245) + -2))**2 + 3 + 1.\nAnswer: 224*sqrt(5) + 20004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6778612?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-5)\/50 + (-237)\/(-15). Let l(v) = -b + 12 + 27*v**2 + 4. Let r(m) = -3*m. Determine l(r(t)).\nAnswer: 243*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4eae4b0 - 2?\nAnswer: 4eae4ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:48 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531 = 3*k + 5*j - j, 5*j = -k + 188. Does 48 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 0.144 (c) -6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15342300, -30684602, -46026904, -61369206, -76711508?\nAnswer: -92053810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -8*l**7\/21 + l**4\/12 - 16*l**3 - 8*l. Find the second derivative of p(q) wrt q.\nAnswer: -320*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 956\/1195 + 22\/10 - 216\/66\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s**2 + 30*s**2 - 62494*s**3 - 56*s**2 - 48932*s**3.\nAnswer: -111426*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13835*d + 4*d**3 + 2*d**3 - d**2 - 13852*d to the form l*d**3 + j + v*d**2 + q*d and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63213052 to the nearest integer?\nAnswer: 7951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/506 and 1\/5060?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 48*s - 1. Let b(m) = 97*m - 442. What is b(c) - 2*x(c)?\nAnswer: c - 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 888.3 times 0.36?\nAnswer: 319.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + sqrt(324)*2)\/(sqrt(192)\/sqrt(4)) + (sqrt(108) - (3 + -1*sqrt(108) + sqrt(108)) - sqrt(108) - sqrt(108) - 1*(sqrt(108)*1 - sqrt(108)))**2.\nAnswer: 81*sqrt(3)\/2 + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76874*p**3 - 73 - p + 73.\nAnswer: 76874*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-7)\/2)*0. Suppose a = -4*t + 5*t - 3. Solve 3*h = 2*d + 7*h, d = -t*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 4*v + 5*v - 5*v**2.\nAnswer: -2*v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13104, -13105, -13106?\nAnswer: -13107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122211100 + 100?\nAnswer: 2122211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -594877970*d**2 + 701588701 with respect to d.\nAnswer: -1189755940*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -56.7. Let o = m + 0.3. Which is the smallest value? (a) -2 (b) 2\/13 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ormrhbz. Give prob of picking 1 o, 1 h, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/56 of a week in hours?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 3, b: 6, d: 4}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 + 868*g\/5 - 188356\/5.\nAnswer: -(g - 434)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 772643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/((-2519)\/916)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -22*m**3 + 7*m**2 + m - 6. Let i(d) = 10*d**3 - d**2 + d + 3. Let z(g) = f(g) + 2*i(g). Calculate z(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0*j**3 + 1\/4*j**4 - 9\/4*j**5 - 2*j**2 - j - 5. Find the third derivative of p(s) wrt s.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5*sqrt(76)\/sqrt(4) - sqrt(19)) + (2 + sqrt(19) + sqrt(19))*2).\nAnswer: -8*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 0.164099546284.\nAnswer: 0.164099546284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54776 and 445890?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 963347338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {p: 1, e: 1, m: 2, v: 2, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 399 + 641. Let k = -86 + n. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*f - 2, 0 = -7*v + f - 62 + 79. Factor 1\/4*i**v - 2*i**2 - 19\/4*i - 5\/2.\nAnswer: (i - 10)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 2*l + 10. Let w(t) = -t**2 + 3*t - 19. Determine -5*m(b) - 3*w(b).\nAnswer: -2*b**2 + b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*b - 14, 514*b - 24 = 509*b + 4*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1)\/((-15)\/45). Let w be 4\/z + (-128)\/48. Put -3, 2, w in descending order.\nAnswer: 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-67 - 2 - 1) + -2. Let b be ((-57)\/d)\/1 + 3. Let k = b - 101\/8. Find the common denominator of 71\/16 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13990, 27982, 41974, 55966, 69958, 83950?\nAnswer: 97942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1082 - 543. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36602241 (base 7) to base 3.\nAnswer: 20011112211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20316484 rounded to 3 decimal places?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/145 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 879078727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -10155\/19331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 5)*(0*i - i + 0*i) + 1 - 5*i + 4*i - 1.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 311*i**2 - 2*i - 94. Let o be k(-8). Suppose -19*y - 788 = -o. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50872923*z**3 + 487*z**2 + 60501*z - 1.\nAnswer: -305237538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let l(w) be the third derivative of w**5\/30 + w**4\/8 + 7*w**3\/6 + 9242*w**2. Calculate 5*h(f) + l(f).\nAnswer: 2*f**2 - 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3831093 to two decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -41. What is the derivative of 11 - o**4 - 2*o**v + o**4 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 5*z - 26, 3*f - 4 = -z + 5*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 1. Let h be c(1). Suppose 2*s - s - 15 = 3*v, h = -v. Solve s = -2*p + k - 12, 2*p = -3*p - 4*k - 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -37*b + 4. Suppose 0 = -5*g + x - 0*x - 15, 4*g + 12 = x. Is u(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 782 - 780. Suppose -m*b + 344 = -4*i, -5*b = 6*i - 4*i - 848. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (7 - (25 + (3 - 13)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -1\/2*j**2 + 0 - 10\/3*j**3 - 3*j. Let o be (3 - (-2 + 2)) + (-20)\/10. Determine p(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1151136 (base 7) to base 12.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*f + 156*f = -q - 17 - 35, -4*q - 208 = 5*f for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/2? (a) 2\/7 (b) 2\/6549 (c) -2\/7 (d) 5 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -818921, -1637827, -2456757, -3275723, -4094737, -4913811, -5732957, -6552187?\n\"Answer: -2*n**3 - 818892*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**5\/30 - 13*y**4\/8 + 32*y**3\/3 + 231*y**2. Let u be k(18). Let o(b) be the first derivative of -b**2 + 15*b + 2. Give o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2349 = -w - 2*w, 4*w - c - 3145 = 0. What are the prime factors of w?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12262 times 0.06\nAnswer: 0.0073572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 (base 6) in base 10?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626 + 1090 = 22*i. Let m = i - 72. Calculate the highest common factor of 78 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let b(t) = -t + 1. Let r(h) = 14*h - 10*h + 16*h - 1 - 2. Let g(p) = 3*b(p) + r(p). What is w(g(f))?\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 3, f: 1}. What is prob of sequence ddo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 181\/(-28) + (9 - 3) + 3\/4. Solve 4\/7*m**2 + p*m**5 + 0 - 4\/7*m**4 - 2\/7*m**3 + 0*m = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 54, 284781 in increasing order.\nAnswer: 2, 54, 284781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 139. Suppose 2*r + 182 = h*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 97 + 113 = 5*f, -3*f + 3*l = -138. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m. Let f be z(-2). What is the units digit of ((-7184)\/(-72) - 2) + f\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117623 is divided by 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58740 and 13140.\nAnswer: 12864060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5064*h - 1721?\nAnswer: 5064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r + 104 = 25*r. What is the remainder when 85 is divided by (7\/(-2) - r)\/(3\/180)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 10381770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8505 and -4313.\nAnswer: 36682065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5772 and 14013084.\nAnswer: 182170092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18700)\/3300 - (0 + (-1)\/(-12)*-2))*10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqyn when four letters picked without replacement from {u: 2, n: 1, a: 2, q: 1, y: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9751 - -1296941\/133. Find the common denominator of -28\/171 and v.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 19*v + 80. Let y be j(-13). Solve 0*n + n = y*c - 12, 3*c - 2*n - 19 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -71, -272, -669, -1328?\nAnswer: -2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3066\/1523?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 5669034.\nAnswer: 51021306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5864 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 34223?\nAnswer: -34221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.63 - -0.63. Let q = 0.02 - 0.12. Which is greater: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6013408 < -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13345)\/1570)\/((-10)\/15*1\/4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 7:35 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*z - 23, -z = -4*d - 0*z - 14. Is (d\/(-1))\/((-12)\/(-6044)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 5 + 5 + (-1 - 1 + 0)*(-x + 0*x - x) + 2*x + 0*x + 0*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 268*k + 4 + 11 to the form t + o*k and give o.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -1.3934348767?\nAnswer: 4.3934348767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33204*h**2*m**2 + 2*h**2*m - h**2 - 2*h*m - 15*h + 336*m**2 wrt h.\nAnswer: 66408*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 786.154 and -1.54.\nAnswer: 784.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) -5487 (c) -3 (d) 149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 + n - 1. Determine x(-4).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 502.1 - 502. What is the nearest to 14 in b, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4784885929?\nAnswer: 31, 5101, 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 9*q - 1. Let s be (6\/4)\/(15\/50). Suppose -s*n - 53 = y, -25 = -n + 5*n - 5*y. Let x be p(n). Solve -5*u + 5*w - x = 1, 0 = -5*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/5 - 4 - 276\/(-60). Suppose -15*p = 5*k - 13*p - 153, -3*p + 152 = c*k. Calculate the remainder when 44 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -581, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -36, -48, -58, -66?\n\"Answer: v**2 - 17*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6410 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -297*y + 119. What are the prime factors of b(-6)?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12545 to the nearest one hundred.\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.4 and -69.\nAnswer: -70.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 - 586*r + 269 - 129)*((-2 + 0 + 0)*(-2 + 2 - 2) + 2 - 3 - 1 + 3 - 4 + 2 + (0 + 5 - 3)*(-2 - 1 + 2)).\nAnswer: -586*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -285, -375, -407, -363?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41016551 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/5)*y)**(-1\/7)\/(y\/y**(1\/3))**45*(y**0*y)**(-45)*y**(-2\/25)*y**2\/y*y assuming y is positive.\nAnswer: y**(-12834\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 + 512*l**3 - 13498*l**2 - 994628*l - 6822816 = 0.\nAnswer: -26, -8, 77, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*r + r - 82, -f = -3*r + 301. Calculate the remainder when r is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.741074 centimeters in micrometers?\nAnswer: 57410.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 39.91546 millimeters?\nAnswer: 0.03991546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1206.6 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/15 and 54\/701765.\nAnswer: 2105295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -21101200?\nAnswer: 21101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 76 = 72 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -11680\/787?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*8\/(-16))\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-77)\/44)\/((2\/(-8))\/1). Solve d + b = -6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 1769 - 1767 = 2*n, 0*n - 2*n = 5*u - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i**(-1))\/(((i\/(i**(-3)\/i))\/i)\/i**(1\/10)))\/((i**9*i\/i**(-2\/3))\/(i**1)**13) assuming i is positive.\nAnswer: i**(73\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 8*z**2 + 9*z + 6. Let w be (-3)\/(-6) + (-152)\/16. Let q be p(w). Suppose -268 = 2*c - q*c. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16375 + 140441 + 61064 = -1968*u + 98*u for u.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-48)*(-56)\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254795305 by -9715.\nAnswer: -26227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, j: 1, q: 4}. What is prob of picking 2 s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -32*(-6)\/60*5. Solve 2*x - s = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*l + 100468 - 22061. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + 4*m**4 - 5*m**4 + (-m**2 + 4 - 4)*(0*m**2 - m**2 - m**2) + 11*m**4 - 26*m + 26*m.\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**3 - 2286 - 4*v**3 + 2284 + (v**3 - 2*v**3 + 2*v**3)*(5 + 0 - 3).\nAnswer: -8*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62857139.\nAnswer: 109, 576671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 a factor of 46916074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**4\/12 - 3*u**3\/2 - 9*u**2\/2 + 2095*u. What is t(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12 = 0, w - 2*y + 7*y + 21 = 0. Let d be (w\/(-14))\/(4\/16). Are d and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.03906.\nAnswer: -0.1953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i + 27. Let k be y(-5). Let o(v) = -2*v + 3. Determine o(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.44 to the nearest integer.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42878477*u**2 - 4336059*u + 7?\nAnswer: 85756954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*s**3 - 2*s + 8447*s**2 - 8447*s**2 to the form t*s**3 + x*s**2 + j*s + d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:00 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.12516, -5, -3\/2, -2\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2\/5 - 40*w - 500 = 0. Calculate w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10956 + 19744. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 5*v + 6. Let q be x(4). Suppose 8*r - 42 = q*r. Solve 30 = -5*k - 4*o, -3*o = r*k - 2*k + 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102132 (base 5) in base 2?\nAnswer: 1100010001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 25. Let i = g + 6. Solve -i + 3 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 668.2321 centuries?\nAnswer: 6682.321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-30)*725\/(-174).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - 1*sqrt(88)*5)*-6)\/(4*-1*sqrt(8) + (sqrt(512)*2 + sqrt(512) - sqrt(8))).\nAnswer: 24*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g**3 + 2*g**2 + 2*g - 3. Suppose -2*o - 4 = 4, p - 6 = o. Let x be j(p). Suppose -5*h = -0*h - x. What is the highest common factor of 52 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -134 - 3*s**2 + 28 + 48 + 40. Let m(u) = 9*u**2. Determine v(m(w)).\nAnswer: -243*w**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 51*o + 4. Let v be x(5). Suppose -2*j = -y - j + v, -1335 = -5*y - 3*j. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2 - 14526*h + 1964440 = 0.\nAnswer: -14660, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(10\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 2. Suppose i = -z - 0. Let p = -3.6 - 0.4. Which is the closest to 1\/4? (a) 2\/13 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 46609.57us?\nAnswer: 0.04660957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6291*g - 1053*g = 17908*g - 2247428 for g.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dndnnnddnddd. Give prob of picking 1 n and 1 d.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(8\/12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knmnmk. Give prob of sequence km.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1) + -2 + 6. Factor u + 2*u**o + 0*u + 0*u**4 - 3*u**3 + u**2 - u**4.\nAnswer: -u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -33, -48, -63?\n\"Answer: -15*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2 + 2*t - 21. Is b(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c + 2. Give d(-7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4*(-5 + 1) + -1. Do -2\/81 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + -4 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1665*c**2 - 60*c + 955*c**2 - 42*c + 102*c.\nAnswer: -710*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 156\/(-30) - (-10)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/(-26 - (6 + -10)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*m - 129. Let g = m - 25. 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: In base 11, what is 3570 - 2?\nAnswer: 3569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.46 take away -17540964?\nAnswer: 17540925.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - g - 4)*(-18 + 81 + 53)*(-3*g - 4*g - 5*g).\nAnswer: 1392*g**2 + 1392*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 - 217440*a**2 - 1086955*a + 5217960 = 0.\nAnswer: -43483, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*h + 110*h + 13 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwjlllle. Give prob of picking 1 w and 1 e.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**3 + 570*t**2 + 1200*t - 4640 = 0. What is t?\nAnswer: -4, 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-45)*19\/(-2) + (-204)\/(-1530). What is the second biggest value in 33, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 1. Suppose -d - 5*q + 19 = 0, -d = -3*q + 2*q + 5. Let c = d - l. Solve -s - 4 = -5*w + c*w, -s - 12 = -5*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1998 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.4 (c) -2\/11 (d) -14\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, r: 8, q: 2}. Give prob of sequence qkr.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2 - 6) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -326)*(-41)\/2. Let t = x - -66923\/10. What is the common denominator of 103\/10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 11 = -3*h + 53, 0 = -h + 2*r + 20. What is the units digit of 79\/4 - h\/32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 209676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37320114 to the power of 1\/2, to the nearest integer?\nAnswer: 6109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 506 - 116. Let f(v) = -r*v**2 + 792*v**2 + 1 - 386*v**2. What is f(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002900328 to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**8\/1120 - 3*l**7\/560 - l**6\/120 - 3*l**3 + 7. Let y(g) be the third derivative of j(g). Find f such that y(f) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975*y - 2820*y + 826*y + 979*y.\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 245 - 56559?\nAnswer: -56314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -13. Let q be (-36)\/45*(r - 4). Suppose 1 = -t - 3. Put q, 1, t in ascending order.\nAnswer: t, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29076*-1.148\nAnswer: 33379.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-312)\/(-78)*5\/((-40)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 2*x**7\/3 + 22*x**6\/5 + 18*x**5\/5 - 8*x**4\/3 + 11*x + 120. Find r such that d(r) = 0.\nAnswer: -4, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 25. Let d be w(-14). What is the greatest common factor of 30 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:17 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 118458996 and -6.\nAnswer: 118458990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37797 - -37799.4323. What is i rounded to 2 decimal places?\nAnswer: 2.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 10 = 5*n. Suppose n + 10 = -w. Let d = -13 - w. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*k + 1869 = -380*k for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -3, -0.4, 0, -0.5, 172\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 2\/15*s**5 + 0*s**3 + 7*s + 0 + 0*s**4 - s**2. Let f(l) = -l**2. What is f(b(d))?\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxdd. What is prob of sequence dd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 10*x + 13. Let c be 0 - (-3 + -6 + -2). Calculate the remainder when 70 is divided by i(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -2, 8.\nAnswer: -8, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912037 is divided by 7664.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-20)*65\/13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327187771 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 546738.\nAnswer: 37\/546738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {p: 3, n: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -16 - ((-219)\/(-24) + 623\/712)) + -60\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/25, 8, -11, -3, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 31*v - 22. Let z be t(-7). Is 938\/28*(-3 + 1)*z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -3.4.\nAnswer: 0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 6*b - 1432. Calculate the remainder when b is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 14. Let f be 118\/2 + 0 + q. Let h = 75 + -51. Calculate the greatest common factor of f and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228 + 709. Let j = 88917\/4 + -23147. Let a = j + r. Find the common denominator of 16\/7 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162710*b**3 - 2544*b**2 + 43*b + 1?\nAnswer: -976260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s + 1. Let v(g) = 3*g**3 - 5*g**2 + 3*g - 9. Let y(q) = -4*m(q) - v(q). Let n be y(-5). Let c(h) = h**2 - h + 7. What is c(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -20. Sort q, -2, 3 in descending order.\nAnswer: 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1253 + 1251. Let r = -0.3 + 1.3. Are d and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6889 and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-169717)\/23079 + 4\/196?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 635181, 1270363, 1905545, 2540727, 3175909, 3811091?\n\"Answer: 635182*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -505 in descending order.\nAnswer: 8, 1, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*y - 8 = 0, -4*y - 10 = -2*h + y. Suppose 6*f + l + 1 = 5*f, f + 4*l - 2 = h. Which is the third smallest value? (a) 2\/3 (b) f (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from enpfpcecepfcoef?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 80589*r**3\/4 + 60405*r**2\/4 - 100725*r\/2 = 0. What is r?\nAnswer: -6715, -2, 0, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -220 - -311414?\nAnswer: 3111c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(65) - (sqrt(65) - (sqrt(65) - sqrt(65)*-1))))\/(-4*sqrt(20)).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1415762 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 25*d**4\/28 - 5*d**3\/7 + 3*d**2\/14 + 24*d. Factor t(o).\nAnswer: 3*(5*o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 95*p**2 - 134*p - 7. What are the prime factors of r(-6)?\nAnswer: 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkckkckckwwmwcd. What is prob of picking 1 c, 1 k, and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 827604 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 3. Let g(s) = 10*s - 26. Let n(j) = -g(j) + 2*k(j). Calculate n(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 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 2120648735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 138?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 9952552*c**2 - 19905116*c - 9952560.\nAnswer: 4*(c - 2488140)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.73 + 0.73. Let w = 59.5 + x. Is w >= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69359623, -138719247, -208078871?\nAnswer: -277438495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 3*c**2 - 2*c + 1. Let r(p) = p**2 + 7*p. Let a be r(-7). Suppose a = 2*o - 6, 9*o - 12 = -k + 4*o. What are the prime factors of z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 182\/14)*(-2)\/4. Let w(i) = -i**3 - 5*i**2 + 5*i - 1. Let r be w(-6). Solve 3*c + p - 11 = -s*c, 4*c - 32 = r*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 10:29 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 0 + sqrt(1008) - -1*sqrt(63)) + -1.\nAnswer: -1 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 22. Let v = i - 1. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -95, 0, -1\/6, 1, 2.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -36) + -7 + -7 + -1 + (-72 - 4)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67 + (5 + (-7 - (9 + 9 + -14)) - -18)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 - -2) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77166 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -2\/3, 2, 67, 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 246*t = 251*t + 128, 582 = -5*f + 4*t. Is f < -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 + (129 - 270) + -102?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/5 + 18\/(-45). Calculate the remainder when (-2 - -1)\/(w\/(-320)) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c + 1. Let v = -11 - -17. Let b(r) = -r**2 + 5*r + 7. Let i be b(v). What is n(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006776 to 4 dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -2*t, 0 = 4*f - 3*t - 2. Let d(l) = 2*l - 2. Let p be d(f). Suppose -p*z - 55 = -5*k, -34 = -3*k - 0*z + z. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a2 + -2?\nAnswer: 12a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3510203957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540.251741 rounded to the nearest 10?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.2, -351, -3?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2268\/(-1890)*10\/(-4). Suppose 3 + 11 = -2*d. Let p be 1\/v - 2\/(d - -13). Solve p*j - 4*j = 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.55 - -0.6. Let l = m - 0.09. Let n = 0.46 - l. Which is the biggest value? (a) n (b) 4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/4 - 11*s**3\/4 + 9*s**2\/4 + 11*s\/4 - 5\/2.\nAnswer: (s - 10)*(s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-2)\/(-4)*3. Let a(v) = -4*v**2 + 2*v + 2. Let o(i) = -13*i**2 + 7*i + 7. Let g(j) = 7*a(j) - 2*o(j). Let n(c) = -c**2 - c. Calculate x*n(q) - g(q).\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**14\/a*a)\/a**(2\/15))\/((a\/(a\/a**(-1\/8)))\/a)**(1\/4) assuming a is positive.\nAnswer: a**(7271\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.795129kg?\nAnswer: 2795129000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s. Suppose -8 = 3*f - 5*f. Suppose 4*t = -3*w + 16, -3*t + t = -3*w + 10. Let h(b) = -b + f - w. Calculate l(h(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p - p + 3*p + (3 + 0 - 1)*(1 - 2 + 0)*(-2*p - 2 + 2).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 69 + 321. Suppose i + 6 = d. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35411 is divided by 107?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 18 = 18. Let r(h) = h**2 - 15*h + 21. Let u be 0 + 0 - (-83 + 70). Let x be r(u). Sort a, x, 4 in ascending order.\nAnswer: a, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9479 - 0.0521. Let o = -145 + 147. Which is the nearest to 0? (a) -3\/4 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 392365072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 79 = 71. Suppose -7*n - n = 56. Let u = n - r. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 62576364?\nAnswer: -62576372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (408\/(-238))\/((-2)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002809500.\nAnswer: 2, 5, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 5*j**2 + j - 7. Let r be ((-85)\/(-34))\/((-1)\/(-2)). Let a be i(r). What is the second biggest value in 0, -1\/10, a?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0302 + -2.1798. Let d = -0.09 + n. Let x = d + 2.29879. What is x rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(80) + -1 + 5)**2.\nAnswer: 80*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10*b - 5*b = -55, b = -4*w + 77. Calculate the smallest common multiple of w and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 5 + 23 + 8 - 90\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1473, 714, -563, -2364, -4695?\n\"Answer: -d**3 - 253*d**2 + 7*d + 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(448))**2 + 0 - (-4 + 4 + sqrt(1008) + sqrt(1008) + -1)**2.\nAnswer: 48*sqrt(7) + 3130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -365859 divided by 6903\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2377*-12846\nAnswer: 30534942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(51)\/sqrt(3) + 5 - 4*(-1 + sqrt(17)) - (sqrt(272)*-3 + -3).\nAnswer: 12 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**2))**(-5)*(l\/(l*l**(-1\/9)\/l)*l*l)\/(l**5\/l*l)*(l\/l**(2\/7)*l**(-3))**(-1\/35) assuming l is positive.\nAnswer: l**(29054\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*d - 85, 4*o + 0*d = d + 73. What is the remainder when 35 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11*r + 11. Let u be d(-6). Let i = u - 124. Let h be i\/2*-2 + (14 - 13). Do h and 49 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 130\/14 + (-4)\/14. Let q(b) = -b**3 + 2*b**2 + 5*b - 3. Let w be ((-2)\/(-6))\/(1\/9). Let d be q(w). Solve 0*j - d*j = -p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1529*s**2 + 5160*s**2 - 2044*s**2 - 2029*s**2.\nAnswer: -442*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(95) + sqrt(95)*3 + sqrt(95) + sqrt(95)) - sqrt(95))\/(5*(sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(5)*-2)) + sqrt(5) - sqrt(5))))**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Suppose 13 = -t*f - 17. Let b(j) = j + 4. Determine b(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = -5*u + 14*n + 31176, 31152 = 5*u - 2*n. Let q = -761 + u. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 3)*(2*r**2 - 2*r**2 + 3*r**2).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 109 = m, 6005*m - 5*p = 6002*m - 175 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 13*h**2 - 3*h - 4. Let z = 64 + -55. Is a(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 5, -240, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*z + 8, -5*y = 6*z - 33 + 21 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33006054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*t + 25*t - 20. Suppose -t*c = -191 - 89. Let i = c + 3. What are the prime factors of i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -38.11 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1166, -5305, -12414, -22493, -35542?\nAnswer: -51561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 207. What is the remainder when g is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-99))\/((-5)\/12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 8:52 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530797.\nAnswer: 530797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17073032?\nAnswer: 2, 17, 47, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152145, 152140, 152133, 152124, 152113, 152100, 152085?\n\"Answer: -t**2 - 2*t + 152148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 7\/12*v**4 - 1\/120*v**6 + 0*v - 175*v**2 - 1\/5*v**5 - 1\/3*v**3 + 0. Find the second derivative of h(j) wrt j.\nAnswer: -6*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - -41 - (13 + -1 - (3 + 0)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 + 2*r**4 - 8*r**2 + 0*r**4 + 17*r**5 wrt r.\nAnswer: 1020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.9, -2\/7, 0, 1\/368, -0.47, -3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -352*v - 166 - 987 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/12 + l**3\/6 + 3*l**2\/2 + 3*l - 11. Calculate i(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.64855627 to 3 dps.\nAnswer: -0.649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2442, -2999, -3812, -4881?\n\"Answer: -128*x**2 - 173*x - 2141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19 - 12*a - 177*a**3 + 12*a - a**2 + 235*a**3 wrt a.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(32) - sqrt(8)) + (sqrt(128) + -1*sqrt(128) + sqrt(128) - sqrt(128)) + sqrt(8))\/(-4*sqrt(28)\/(sqrt(7) + sqrt(126)\/sqrt(2))).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b4 - -131690?\nAnswer: 131a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 80*c - 163. Let a be r(-42). Let b(o) = o - 4. Let f be b(4). Solve f*p = a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 67, 3, -9, -2, 2.\nAnswer: -9, -3, -2, 2, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3568.279 litres?\nAnswer: 3568279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87.44782ml?\nAnswer: 0.08744782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 301939017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-15))\/((-11)\/((-165)\/(-24)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 30 - 22 = 11*w. Let v(i) be the second derivative of 13*i**3\/6 - i**2\/2 + 9*i. What is v(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b + 34. Suppose -24 = -3*c + 3*y - 9, b = c - 4*y. Let l(p) = 0 + 3*p**2 + p**2 + 1. Give l(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 63\/2457*-1*2. Which is the nearest to -1? (a) 0.4 (b) m (c) -5\/6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100.7 - 101. Let m be (-2 + (-19)\/(-7))*(-259)\/222. Which is the closest to -14\/5? (a) s (b) m (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -36. Suppose d = r + 5. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*d - 635 + 24*d - 52 + 14*d - 60*d as x + q*d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10 and -63\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(17 + 2*f - 17)*(6 - 6 + 3*f**2) in the form x*f + r*f**3 + a + s*f**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, 16, 129, 274, 463?\n\"Answer: 2*w**3 - 2*w**2 + 85*w - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqaqqqqiqqiiaw. What is prob of sequence qm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269673 is divided by 12835?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 754.\nAnswer: 33930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c + 12. Let d be w(3). Suppose -q = 3*x - 6, 0*x - 3*x + 6 = -q. Is d at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 7)*(2*q + 0*q - q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 91 - 71. Suppose -d = -5*z + 23, -h*d + 4*z + 0*z - 10 = 0. Sort -3, d, 22, -1 in descending order.\nAnswer: 22, d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 33*y - 4. Let j(p) = 34*p - 5. Let v(g) = 2*h(g) - 3*j(g). What is the derivative of v(u) wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12076 + 12040 = -3*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -937145 divided by 5?\nAnswer: -187429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 h when four letters picked without replacement from {r: 3, w: 1, h: 2, z: 6}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4*17\/(-306))\/((-2)\/90). Solve 3*p - 2*t - r = 0, 8*p = 3*p - 5*t + 25 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Let w(g) be the first derivative of 0*g**3 + 1\/14*g**j - 1\/7*g**2 + 0*g + 1. Let w(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 8*i**3 + 32*i**2 + 32*i - 96.\nAnswer: -2*(i - 2)**2*(i + 2)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 500*h + 505.\nAnswer: -5*(h - 1)*(h + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i. Let f(q) = -6*q - 2*q + 41 - 2*q + 5*q + 8*q + q**2 + q**3 - 2*q. Give f(i).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 1745172?\nAnswer: 5235516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w + 77 + 31 = 50*w. Solve -4*k = -20, -5*k = 4*s - w*s - 27 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -10.2, 0.4 in decreasing order.\nAnswer: 0.4, -10, -10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 69 = 15. Suppose 4*n = 38 + 34. Let j = 32 - n. Calculate the highest common factor of j and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -5)*(-1 + 6). Suppose -4*b = 2*h + 22, a*b + 40 = -0*h - 5*h. Let p be -25*((-2)\/h - 1). Solve -y - 2*y = p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9\/(i\/i**39))\/(i**(12\/7)*i)**(-34) assuming i is positive.\nAnswer: i**(975\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 4*j**2 + 3*j**2 + (2*j + 13 - 13)*(-2*j + 8*j - 20*j) + 2 - 2 + 3*j**2 to the form x*j + k + b*j**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59827 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000472 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*z**2 + 4*b**2*z - 457*b**2 + b*z**2 wrt z?\nAnswer: 2*b**2*z + 4*b**2 + 2*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23979.\nAnswer: 3, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7156823?\nAnswer: 29, 246787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.591231 + -2.592. What is a rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -101001?\nAnswer: -100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46ac (base 14) to base 13.\nAnswer: -57a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4399 - 4399.02273. What is k rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 342.56 and 5051.465?\nAnswer: 4708.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2393, 1943, 1495, 1049, 605, 163?\n\"Answer: i**2 - 453*i + 2845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n + 43. Let c be a(-5). Let v(l) = -2*l**3 - 3*l**2 - l + 1. What is v(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -2350?\nAnswer: -2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14375 + 14375. Sort 2, 1\/23, x in descending order.\nAnswer: 2, 1\/23, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 - (-2 - -3). Suppose 0 = -f*p + 55 + 31. Suppose 12 = b + 3*b + 4*v, -5*b + p = -2*v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25073.17 millilitres in litres?\nAnswer: 25.07317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*y + h - 2*h, 5*y - 102 = h. Suppose 0 = -6*g - y - 40. What is the tens digit of (2 - 96\/g)\/(1\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136534 is divided by 11377?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k - 11. Let w be 2\/((-25)\/(-30)*6\/(-15)). Let z be o(w). Suppose 6*p - 3*p - 294 = 0. Calculate the greatest common factor of p and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7200967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = 2107 - 1999 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 + h**2)*(-3 - 2*h**2 + 3) + (-5 - 2 - 1)*(-4 + 1 + 2)*(h**4 + 0*h**4 + h**4).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (5\/(-1) - 0). Suppose -f*z + 184997 = -3*b, -4*b - 73998 = -2*z - 2*b. Round z to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*q - 86 + 65, 5*q + 5 = -4*i. Let j be (1 - 1)\/(4 - 5). Solve -q*f + f - 10 = j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, 130, 1104, 2998, 6118, 10770, 17260, 25894?\nAnswer: 36978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-54)\/(-9))\/12)\/(429\/(-44)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18725)\/(-75) + (-2)\/(-6). Let q = v - 106. Calculate the greatest common divisor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2000 or 1996?\nAnswer: 1996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -22, -54, -4 in decreasing order.\nAnswer: 0.04, -4, -22, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15860, -455, 3, 1, 2 in ascending order.\nAnswer: -455, -4, 1, 2, 3, 15860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 194, 404, 600, 776, 926?\n\"Answer: -o**3 - o**2 + 220*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44730904.33 rounded to the nearest one hundred thousand?\nAnswer: 44700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**3 - 11*w**2 - w - 16. Let f be 4\/(4\/11)*4. Suppose -79 = 4*u + 141. Let d = u + f. Let t(r) = -2*r**3 + 2*r**2 + 3. Determine d*t(v) - 2*o(v).\nAnswer: 2*v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 5*d. Let y(m) = -m**2 - 3*m. Let s(w) = 3*l(w) - 5*y(w). Suppose -2*x - t + 6 = -2*t, -3*x = t - 4. Determine s(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 - 3.4. Suppose -164 + 155 = -9*i. What is the closest to i in 0.3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t**2 + 21*t**2 + 23*t**2 + 27*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11787023487 and -471?\nAnswer: 11787023958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9296\/9 - -1030. Let b = s + 356\/117. Sort -0.1, 2, b in ascending order.\nAnswer: -0.1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*b + 7*b - 7*b + (-3 - 2 + 3)*(5*b + 0*b - 2*b) as m*b + j and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 + 92*w**2 + 8902*w\/3 - 3060.\nAnswer: 2*(w - 1)*(w + 54)*(w + 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + -725)*(-360)\/126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 16*w + 120. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*y + 5. Let p = 2 - y. Suppose p*g - 820 = -g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 - 12*w + 34. Let d(i) = i**2 - 4*i + 11. Let c(m) = -2*b(m) + 7*d(m). Let q be c(-5). Solve -s = q - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 84672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 480*v + 113. Let q(u) = 2*u + 1. Let h(s) = g(s) - 4*q(s). Differentiate h(b) wrt b.\nAnswer: 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:28 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -211\/4. Let i = 2\/9 + 1\/9. Let x = 4.91 - 4.81. Which is the closest to 4? (a) m (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**3 - 140*n**2 + 84*n + 30. Calculate the remainder when d(-24) is divided by 77.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.59999924 - 1.6. Round f to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by -1.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85791 divided by -266.\nAnswer: 85791\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/143 or 1?\nAnswer: -4\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1499492317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496835 divided by -1073?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*h - 18226 = -2236 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 6:04 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*k - 1 = -16, 0 = 3*c + k - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j + 4*j - 5*j**2 + 2*j**4 - 224*j**5 + 216*j**5 wrt j.\nAnswer: -480*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:47 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 952399553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/10 + 4\/10. Suppose 0*a + 5*a - 90 = 0. What is the smallest common multiple of 16 + (-1 - (g - -2)) and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 12*w**2 + 13*w. Let z be m(-13). Suppose z = 5*u + 10 - 75. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from lqwl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p - 2 = -r, 0 = 4*r + 2*p - 18. Suppose 5*b = 33 + r. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0.1. Let r = 10 + -2. Let w = 58\/7 - r. Which is the third smallest value? (a) s (b) 2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271 (base 10) to base 4.\nAnswer: 10033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27838, 33521, 39204, 44887, 50570?\nAnswer: 56253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 112.394813.\nAnswer: 114.394813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -1 - (-4197)\/33. Let n = 124 - c. Suppose -3*j - j = 0. Which is bigger: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-10))\/(370\/(-1850))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/16)\/(0 + (-1)\/8). Suppose -s = 11*f + 70. Let n(p) = p**2 + 9*p - 7. Give n(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 6*o - 4. Let m(w) = -3*w**2 + 4*w - 3. Let u be m(2). Let b be k(u). Solve t = -2*t - b*g + 3, 2*t - 3*g = 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-25)\/(-16))*-10*13\/(-52)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 323 + -352\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25\/((-118125)\/3165) - 5\/(-7)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/147314128 and -9\/208.\nAnswer: 147314128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 + 5 + -1 - 2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1821 or 1825?\nAnswer: 1825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - (-2 + (59 - 22)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 4 (c) 7.3 (d) -2 (e) 4.1 (f) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2935 to two decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 3*z**5\/8 - 9*z**4\/4 + 3*z**3 + 6*z**2 - 31*z. Factor x(o).\nAnswer: 3*(o - 2)**2*(5*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*t - 5*o, 2*t + 1 = o + 14. Suppose 4*p + 179 = t*g, -g - 2*g + 3*p + 105 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -9. Let y be (-6)\/4*u\/3. Let q(x) = 2*x**2 - x - 4. Let o be q(3). Solve 3*p - 2*h = o, 0 = y*p + 3*h - 4 + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + z**2 + 0*z**2)*((-3*z - 2*z + 3*z)*(5*z - 5*z + 3*z) + 0*z**2 + 5*z**2 - 4*z**2).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 4*y**2 + 3*y. Let j be k(-2). Let f be (20\/(-6))\/((-6)\/18). Let v be j\/9 - f\/45. Solve -2*b = -10, 5*z + 2*b = -v*b + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.6 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h. Let g(u) be the second derivative of -25*u**4\/12 + 15*u. Determine g(y(k)).\nAnswer: -100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19123272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 668902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-8) + (-2)\/8. Let q(y) = -3*y**3 - y**2 + y - 2. Suppose -43*k + 35*k + 72 = 0. What is the remainder when q(g) is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -41. Suppose -3*t = -3*a + 111, a + t - u = 19. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 3 - 1*9. Let n = h + 14. Let g be (-5 + 3)\/(n\/(-10)). Solve -18 - 2 = g*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*d**4*r - 57*d**2*r - 4254*d*r wrt d?\nAnswer: -780*d**2*r - 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p\/p**(1\/7)*p))\/p))**(-4))**(-36) assuming p is positive.\nAnswer: p**(3888\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 11 - ((-3)\/(-3) - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 20 = 0, k = 5*g - 1293 + 1242 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.89 - 0.11. Let u = 2.9 + 0.1. Let i = z + u. What is the smallest value in i, 0.5, -4\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 1861 - 1584. Let y(g) = 215*g + 2. Let k be y(2). Let u = b - k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1375823655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**4\/24 + 7*z**3\/2 - 6*z**2. Let o be x(16). Suppose r = -o*r. Let u(g) = -g**2 - g - 1. Calculate u(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26024*b + 672 = 26045*b for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 5*b - 13. Let n be w(-9). Let s = -44 - n. Suppose r - 68 = -3*d, -204 = -s*r + 2*r + 5*d. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -20. Let d = z - 5. Suppose -3*n - 3*s = -243, d*s = -4*n + 3*s + 320. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48062 bigger than 48071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79937*a + 6 - 15*a**2 - 159866*a + 79929*a - 3.\nAnswer: -15*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + (2 - -8) + 10563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.95 + -0.05. Let w = -3545 + 3548.809. Let z = w - c. Round z to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - d - 1323 = -10*l, -3*l + 804 = -4*d. Let k be 160\/100*(-15)\/(-2)*2. What is the highest common factor of k and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 8*x + 23. Let a be 2\/(6\/39)*(-1 - 0). Let l be d(a). Calculate the highest common factor of 33 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -0*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/25 (b) 1\/4 (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 10. What is the lowest common multiple of t(4) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.04. Let c = -0.14 - q. Let m = -11\/2 + 213\/38. What is the second biggest value in m, 2, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -203.\nAnswer: -2639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 11 - 6 - 2*x**2)*(-3 + 3 + 2*x**2)*(-10 + 6 - 6).\nAnswer: 40*x**4 + 460*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 1357*p + 2 = -1355*p, 2*b - 3*p + 1 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136456367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 785.9998993 + -786. Round k to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1101204, -4404822, -9910852, -17619294, -27530148, -39643414?\n\"Answer: -1101206*b**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13735 - 0.138. What is c rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*f - 9. Let x be ((-14)\/2 + f)*(-4 + 2). What is the smallest value in x, 0, 0.3, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/(-165)*3\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 89417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htt when three letters picked without replacement from {t: 4, i: 2, h: 1, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 589807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**3\/3 + 3*p**2 - 6*p + 1. Let m be y(-7). Put -2, 5, m in descending order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 2*t + t**2 + 4*t)*(0 + 8 + 1) + (0*t - 3*t + 0*t)*(-4 + 2*t + 4).\nAnswer: -24*t**2 + 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/3)\/v**13*v**(2\/31)*v**(2\/5) assuming v is positive.\nAnswer: v**(-6449\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 19*n - 38. Let v be f(2). Suppose v = -4*d + 3*i + 151, -5*d + 2*i + 151 = -43. What is the highest common divisor of 260 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -0.075338\nAnswer: -0.075338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 - (3 - 15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171926 or -1\/3?\nAnswer: -171926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1760 - f90?\nAnswer: 7d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -15 - (-2 - 3)) + -23 + 3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/7 and -7\/2916.\nAnswer: 20412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/7))**(-19) assuming x is positive.\nAnswer: x**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432264.\nAnswer: 2, 3, 7, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 109\nAnswer: -22\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 0 + 0 - 2*x. Let f(y) = 2*y - 3. Let p(l) = 5*l - 7. Let w(i) = -7*f(i) + 3*p(i). Calculate h(w(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -1144. Calculate the remainder when s is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 4769312?\nAnswer: -9538624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 26 - 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 43*f**2 - 4*f - 17. Is w(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216 (base 13) to base 3\nAnswer: -111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 2104004*d - 2104003.\nAnswer: -(d + 1)*(d + 2104003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 872 and 14396066?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 250 + -174. Calculate the highest common divisor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2512 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4*q**2 - 49*o*q**3 + 475*q**3 wrt o.\nAnswer: 4*o**3*q**2 - 49*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3376 and -29\/442.\nAnswer: 746096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001072 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-171 - 104*y**2 + 56*y**2 + 50*y**2)*(-2*y**2 + y**2 - 3*y**2) to o*y**3 + l*y**4 + a*y**2 + g*y + p and give a.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + p)*(1 + 1 - 3)*(-4*p**2 - p**4 + 4*p**2).\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4 - 5) + (2 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269247965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 10*h**2 + 11*h + 1. Let v be a(11). Let x(z) = 16*z. Calculate the lowest common multiple of 12 and x(v).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y = -4*a + 32, 0 = -5*y + 5. Suppose -a*g = -11*g + 144. Let q = g + -45. Calculate the greatest common divisor of 81 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4532, 4588, 4738, 5030, 5512, 6232, 7238?\nAnswer: 8578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 3:48 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*b - 530*b + 28448 = 78*b - 139*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 1 - (-7 - -1). Suppose -3*u = -3*v - u + 76, 5*u - 62 = -g*v. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z + 2 - 2)*(-3 - 2 + 3)*(1 + 0 - 13 + (3 - 5 + 4)*(-2 + 3 + 1)) to r*z + s and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 947\/48 - -95\/16. Let x = t + -607\/24. Let q = 0 - 2. Which is the second biggest value? (a) x (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - b - 3)*((-3 + 5 - 3)*(b + 0 + 0) - 2*b - 3*b + 9*b - 3) in the form r*b**2 + i*b + w and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 1. Let i be k(2). Let n(h) = -h**2 + 2*h + 1. Let u be n(1). Suppose i*w + u*w = -20. Sort w, 3, -2 in descending order.\nAnswer: 3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 1)*(0 - 4 + 3)*(-8 - 7 + 0)*(-3*m - 4*m + 10*m) to s + u*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*j, 45*v - 50*v + 374 = 156*j + 52 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - -0.16. Let z = 0.2399987 - j. Round z to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -21. Let s be 1*4\/c*-1. Suppose -3*t + 26 + 203 = 4*v, s*t = -v + 67. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + b - 44 = 0, 5*u - 3*b = 3*u + 28. Let w be 1\/((-4)\/u*-1). Suppose 6 = -3*o, 0 = w*f - 7*o + 4*o + 54. Is f smaller than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/13, 1509, 2\/5, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2935603*s + 1467795*s + 1467852*s.\nAnswer: 44*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -47 + (1 - 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zqmmzqqzmmqmzmzzzqm?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-3 - (-1 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5274 + -5145. What is the remainder when 172 is divided by v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14721, 29445, 44061, 58569, 72969, 87261, 101445?\n\"Answer: -54*c**2 + 14886*c - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*j + 1240 = -223*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = 20. Let v = w + -6. Let l(h) = 5*h + 2. Let r(o) = 2*o + 1. Determine v*r(s) + 6*l(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-123)\/(-6) + 0)\/(4256\/2432))\/((-10)\/(-70))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9367234 to the power of 1\/2, to the nearest integer?\nAnswer: 3061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/8)\/((-2)\/20). Is 2 + -13 - -6 - n a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s + 4*r + 130 = 0, -3*r = 2*s - 52. Suppose 0 = -5*w - 16 + s. Let u be ((0\/5)\/(0 - w))\/1. Solve u = -h + k + 4 - 2, -4*h - 3*k = 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.51 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -8, -22\/7, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o**4 - 1190*o**3 + 168*o**2 + 59382353*o?\nAnswer: -72*o**2 - 7140*o + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 0.05 (b) 3 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*x + 24, -4 = -0*d + 2*d. Let t be x\/(-9)*45\/(-6). Solve 0 = -m + t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 4*g**2 - 3*g + 10. What is u(4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*g**4 + 5*g**4 - 18*g**4 + (-6*g - 2*g**3 + 6*g)*(-19*g - 121 + 121) + 3*g**3 - 3*g**3 - 2*g**4.\nAnswer: 95*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -18430572.6 to the nearest one hundred thousand.\nAnswer: -18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -335 * -0.7.\nAnswer: 234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 28 = -5*w - 0*a, -3*w = 3*a. Let x(l) = 57*l**2 + 4*l - 1. Let z be x(w). Suppose 5*n + 90 - z = 0. List the prime factors of n.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2145 and 53\/1287.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.7462 years in decades?\nAnswer: 78.87462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1856a + 751?\nAnswer: -17a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 116 - 2 - (-2 - 1). Let r be 10673\/x + (-4)\/18. Suppose -168 = -2*o - 2*h, 253 = 2*o - h + r. Calculate the highest common divisor of 123 and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 6. Let a be z(3). Let y = 8 + -6. Suppose 0 = 4*p - y - 46. Solve a*j - p = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (598*j + 4*j**2 - 137433 + 137432 - 2*j**2)*(-1 - 2*j + 1 + (-j + 0*j + 0*j)*(3 + 1 - 3) - 5*j + 4*j + 0*j).\nAnswer: -8*j**3 - 2392*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008426 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -1095*z**5\/4 - 24079*z**4\/2 - 37357*z**3\/4 + 195295*z**2\/2 + 139297*z - 2838 = 0.\nAnswer: -43, -2, 22\/1095, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r**3 + 2*r**2 + 2*r + 5. Let b(p) = -2*p**3 + p**2. Let v(l) = -6*b(l) + x(l). What is v(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.3 and -0.04?\nAnswer: 0.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 818631.8 decades?\nAnswer: 8186318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - l. Let a be c(1). Let p = 141 + -140. Is p + (a - -1598) - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 3*n + 107. Suppose 5*f - n = 36. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -66 + (-75 - -187)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*m - 209668*f**3 - f**2*m*x**3 - 4*f*m*x**2 + 8*f*m*x - 2*f*x**3 + 7*f*x**2 - 2*m*x**3 + 86*m*x wrt f?\nAnswer: 12*f*m - 1258008*f - 2*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -124718, -249424, -374130?\n\"Answer: -124706*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268708, -268664, -268582, -268462, -268304, -268108, -267874?\nAnswer: -267602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 891 and 10197.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -6*3\/(-8). Let m = 15801.4 + -15801.1. Which is the nearest to 0.1? (a) -5 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from hhdgghdhhugggguhhdv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*-98514127\nAnswer: 187176841.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*(-42560)\/(-1344)*6\/(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 - 700*r - 28992 = 0. What is r?\nAnswer: -302, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*g**5 + 16718856*d**3*g**2 + d**3*g - 4*d**3 - 1538374*d**2*g wrt g.\nAnswer: -40*d**3*g**3 + 33437712*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -1\/3 (b) -0.3 (c) 0 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6561 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1055\/(-15)*-3 - 5. Let k = 3 - q. Round k to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168739200 divided by 2268\nAnswer: -74400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b - 562 = -67 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68170.97 rounded to the nearest one hundred?\nAnswer: 68200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -20. Suppose -w*d + 5 = -d + r, -5 = d - 4*r. Solve 2*h + 5 = -d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 7*u - 16. Calculate t(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -302, 2\/5, -0.3?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-5)*z*((((z*z**(-2\/3))\/z)\/z)\/z)\/z)**(-36) assuming z is positive.\nAnswer: z**204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 579993\/7 - 83008. Suppose 0*y + 296 = 2*n + 3*y, -3*n + 3*y + 459 = 0. Let u = p + n. Which is smaller: 1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((688446\/(-1809))\/19 + 3 + 12)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/6 - 37\/(-111). What is the tens digit of (l\/(-27))\/((-2)\/4116)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 848506.5 microseconds?\nAnswer: 848506500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 205*n - 2 - 206*n + 2. Let u(m) be the third derivative of -m**4\/24 + m**2. Determine u(d(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 7. Let s be l(-7). Let r = s - -6. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17232 divided by -4?\nAnswer: 4308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.13002 and 400.51135.\nAnswer: 400.38133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53466, -53433, -53382, -53313, -53226, -53121?\nAnswer: -52998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -54*m - 8. Let q be (-234)\/(-624) + 2\/(-16)*-29. Let d(a) = 53*a + 6. Let f(r) = q*d(r) + 3*o(r). Let n(x) = 3*x**2. What is f(n(b))?\nAnswer: 150*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5745 - 11829\/2. Let h = w + 902\/5. Let g = -167 + 421\/2. Calculate the common denominator of g and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*a - 131 = 3*a, 0 = v + a - 135. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 1230?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s. Let w(f) = -161316*f**2 + 3*f. Determine w(x(m)).\nAnswer: -7904484*m**2 - 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -128. Let z = c - -194. What is the highest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + m. Let n(p) = -6*p**3 + 9*p**2 - 20*p + 7. Let v(c) = -n(c) - 5*o(c). Find s such that v(s) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -13)\/((-1)\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 - 1 + 1. Let q(n) be the third derivative of -n**6\/180 + 3*n**3\/2 + 9*n**2. Let l(s) be the first derivative of q(s). What is l(c(d))?\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1024*h. Let s(c) = 3*c**2. Determine s(p(k)).\nAnswer: 3145728*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 (base 7) in base 6?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8020*n + 34242. Let c(p) = p. Determine v(c(f)).\nAnswer: 8020*f + 34242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, a: 4, g: 2, c: 1}. Give prob of picking 1 g, 1 c, and 2 h.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1728000*o**2 - 8461*o**3 - 32049*o**5 + 16024*o**5 + 16024*o**5 - 34739*o**3 + 360*o**4.\nAnswer: -o**2*(o - 120)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-36668)\/534*3\/(-2) is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162 - 423. Let f = -260.999891 - j. What is f rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 + 3 - 0. Solve d - 13 = -5*z, 4*z = p + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/182 - 34\/42. Which is the third smallest value? (a) 2\/7 (b) n (c) 3 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4171 by -3.\nAnswer: -4171\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-10) - (-305)\/425. Which is the closest to -10? (a) 0.07 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14058486 to the nearest integer?\nAnswer: 3749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 26*m - 120. What is the tens digit of (-8)\/m - (-107)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 - 337b?\nAnswer: -333b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.8186 centuries in months?\nAnswer: 86182.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/5 + 42896\/70 is divided by 103?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/14 + 1\/(-7). Let u = -33 + 40. Solve -u = k - 0*z + 5*z, -k = -o*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4603175 to the power of 1\/2, to the nearest integer?\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1*25 + ((-6)\/(-12))\/(83\/(-830)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 20*w + 2. Let u be s(-20). Solve u*o + 2 = -6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3036*f**3 + 2*f**2 - 3*f**2 + f**2 - 366247*f + 369270*f wrt f.\nAnswer: 18216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 293 - 155. Suppose 4*s - 2*q = k, 0 = 7*s - 2*s - 3*q - 170. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 3*v**2 + 2*v + 1. Let x be r(4). Let y = -2 + x. Suppose 3*b - 13 - y = 0. Calculate the remainder when 23 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 22 = -5*w, 2 = -7*w + 2*w + 3*p. Suppose 0 = f + 5*h, -3*f + w*h - 4*h = -26. Let r = -8 - -11. What is the smallest common multiple of f and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:48 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -43*w + 4. Let g(q) = -2*q**2 - 14*q - 14. Let y(s) = -s - 1. Let k(x) = 2*g(x) - 28*y(x). Give p(k(n)).\nAnswer: 172*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) -2.05 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + p - 3*p + 8, 3*p = 9. What is the remainder when (12\/(-8) + 3)\/(y\/(-20)) is divided by 18\/8*16\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 723 + 13*q + 24*q + 1427 - 720. Let g(x) = x. Give h(g(o)).\nAnswer: 36*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 1)*(-2*w + 2*w - 5*w**2) + 48*w**2 + 3*w**2 + 27*w**2.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - g, 3*x - 4*g - 20 = -2*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -147045466.4 to the nearest one million.\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2209, 2729, 3239, 3733, 4205, 4649?\nAnswer: 5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 0 - (-12)\/3. Suppose 3*p - 44 = p - 4*m, -4*p = -x*m - 64. Let a = p + 5. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14292516 is divided by 10738?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/n**(2\/7))\/n))**(23\/4))**(-34\/5) assuming n is positive.\nAnswer: n**(-391\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + l + 8. Give o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25708617?\nAnswer: 3, 11, 86561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120473836 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 48*d**2 - 9. Let m(u) = 23*u**2 - 4. Let v(r) = 9*m(r) - 4*z(r). Let x(q) = -18*q. Give x(v(b)).\nAnswer: -270*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 980 and 44100.\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**(-40))**(-36) assuming c is positive.\nAnswer: c**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/120 - x**5\/10 - x**4\/24 + 5*x**3\/6 + 6*x**2. Calculate l(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 12 = -8 - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 29\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21866 divided by 145\nAnswer: 754\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 1 + p**2 - 2*p**2 + 2*p**4 + 3 + 1 to the form c*p**4 + m*p + o + j*p**3 + l*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 486. Let v(x) = -x**2 - 1150. Determine u(v(d)).\nAnswer: -2*d**2 - 2786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-216)*6*(-20 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115330, 112093, 108856?\nAnswer: 105619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*sqrt(1274))\/((sqrt(648) + (sqrt(648) - (sqrt(648) + 2*sqrt(648) + sqrt(648))))\/sqrt(4)))**2.\nAnswer: 637\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-20)*v*v**13*v\/v**(-2\/59)*v\/(v**(2\/17)\/v))**26 assuming v is positive.\nAnswer: v**(1014858\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 7*d - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 17\/6, 4, -0.2, -2\/11, -1009?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(18) + -5 - (sqrt(2) + sqrt(20)\/sqrt(40) + 3).\nAnswer: -3 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/120 - n**5\/30 - n**4\/3 - 2*n**3\/3 + n**2. Let l(m) = m**3 + m**2 + 7*m + 3. Let k(r) = -4*g(r) - 5*l(r). Factor k(q).\nAnswer: -(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/((-46)\/(-115))*122?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -108, -218, -328, -438, -548, -658?\n\"Answer: -110*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322474653?\nAnswer: 3, 73, 490829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 324*k**2 - 951*k + 630.\nAnswer: -3*(k - 105)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-136)*((-8)\/(-36))\/((-6)\/(-9)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2501 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (642*v + 113092 - 113092)*(-v + 3*v + 0*v).\nAnswer: 1284*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.2 - -128.2. Let m = 105 - q. Which is the nearest to 2? (a) m (b) 0.06 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 not equal to 85573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56585592 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (15 + 2 - (11 + 15)) - 79\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 114*v**3 - 135*v**3 - 166*v**3 + (-5*v - v + 3*v)*(4*v**2 - 3*v**2 - 2*v**2).\nAnswer: -184*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -49, -173, -431, -871, -1541?\n\"Answer: -8*w**3 + 5*w**2 + 3*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5504841 + 2.148.\nAnswer: -5504838.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*g + 3*g. What is the remainder when g is divided by (-3)\/((-3)\/(-2) - 0) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1456628 and 6910?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:58 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x + 172 = -114 + 37 - 301 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -8)\/(1\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 21. Suppose 6*z - x*z - 15 = 0. Suppose -r - 2*t + 35 = 0, -z*r + 2*r - 5*t + 108 = 0. Is r a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207072009 to the nearest integer?\nAnswer: 14390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 1\/12 (c) 56 (d) 19\/60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*g*w - 55*d*g - d + 5*g - 308*w with respect to g.\nAnswer: 3*d*w - 55*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 335.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72188182 divided by 10186.\nAnswer: 7087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 70155*m + 491077. Give l(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.9 - 3.9. Let i = v - 20. Which is the smallest value? (a) -0.04 (b) 5 (c) -0.1 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -8. Suppose -4*h = -3*d - 1, 2*h - h + 5*d + 17 = 0. Let t be (h + s)\/(-1 - 2). Is t less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 w when four letters picked without replacement from ppwipwpppiiww.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131580000 rounded to the nearest 1000000?\nAnswer: 132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 13 + 57 = -g + 2*x + 20, g = x - 9 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 3\/3*0. Let d = 2 + l. Find q such that -q**2 - 2*q**3 + 2*q + 3*q**2 + 0*q - d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 265. Let t be g(-37). What is the nearest to t in 2\/13, -1, -2\/3, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 407251?\nAnswer: 1221753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 10\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 35, 32?\n\"Answer: -3*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32629, -130493, -293599, -521947, -815537, -1174369?\nAnswer: -1598443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -371, -543, -699, -833, -939?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90120504 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2736) + sqrt(2736) + 0 - sqrt(2736)*-1*-1 - (sqrt(2736) + 2 + sqrt(2736) + sqrt(2736) + -3 + -4))*4)**2.\nAnswer: -1920*sqrt(19) + 44176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*z**3 - 703 - 32*z + 703.\nAnswer: 62*z**3 - 32*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45629688 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yygyyggggygygyyyyyy. What is prob of sequence ggyy?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9 + 7*x + 3*x**2 - 6*x + 9*x. Calculate the remainder when 49 is divided by y(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*m - 5, 1562*u - 2*m + 20 = 1564*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 527*f**2\/3.\nAnswer: -f**2*(f + 527)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -40*k + 38*k + 3, -5*k + 6 = 3*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(1\/3))**4\/((t**3*t*t*t*t)\/(t**(1\/6)*t)) assuming t is positive.\nAnswer: t**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mme when three letters picked without replacement from {e: 1, n: 1, m: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 307, 346, 417, 532?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 21. Suppose 3*b = u + 9. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 - 7*x + x**4 + 13*x - 13*x**3 in the form c + a*x**4 + d*x + u*x**2 + k*x**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 512\/804 - 2\/3. Let m = q + 85\/603. Suppose 3*t + 14 = 2*i + 1, -t = 5. Which is the closest to i? (a) 5 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6838482841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d. Let a(z) = -3*z + 5*z - 2*z - 2*z**2. What is a(w(s))?\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or -10\/3691?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/398 (b) 15 (c) 69 (d) -1\/3 (e) -0.5 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -268*c - 28. Let w(g) = -269*g - 33. What is 6*s(o) - 5*w(o)?\nAnswer: -263*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79041 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006772 is divided by 1006653?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 11*w + 15. Let l be f(-4). Suppose -5*m - l - 41 = 0. Let q(o) = -2*o - 22. Let u be q(m). Solve u*a = 3*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1676*c + 21788. What is z(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-2\/13)*k**(2\/15)*k*(k\/(k\/k**29))\/k*k**(-8\/15)*k assuming k is positive.\nAnswer: k**(2044\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 5*b - 1. Let f be c(-4). What is the remainder when 4 is divided by 14\/8 - f\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*b**2 - b**3 + b - 1\/4*b**4 - 5\/4.\nAnswer: -(b - 1)**2*(b + 1)*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9017.084cm to millimeters.\nAnswer: 90170.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 35 + 53 = 0. Solve -3*d + 4 = -s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*j + 2*z, -z - 2*z - 124 = -5*j. Suppose -2*b = -3*b + j. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/12 + -1\/12. Let l be (-8)\/(-20) + (-4)\/35. Which is the smallest value? (a) r (b) l (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235857026?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 1. Let v(n) = 3*n + 5 + 3 - 10*n + 4*n + 9*n. Calculate -10*m(i) - v(i).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 19*f = 0, -3*m - 3 = 2*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6284286914 to the power of 1\/2, to the nearest integer?\nAnswer: 79273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 95 - 14. Calculate the remainder when j is divided by (-4176)\/(-396) - 18\/33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o**2 + o + 1. Let j be b(-1). Suppose -4*v = j*i, -5*v = 2 + 3. Let r(u) = 11*u + 5. Let y(x) = 5*x + 2. What is i*r(d) - 5*y(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/30 + p**5\/10 - 14*p**2. Find the third derivative of r(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 6*d**3 + d**2 + 11 to a*d**2 + m + t*d**3 + i*d and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (9 + 3)*(-4)\/(-27).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -9, -30, -71, -138?\n\"Answer: -v**3 - v**2 + 3*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93375596 divided by 16922?\nAnswer: 5518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -12*u**2 + 8*u + 1. Let x be v(2). Let c = 115 - 147. Which is greater: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 936.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/36)\/((-51)\/((-38556)\/56))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 7*x - 5*x + 13, -5*x = 4*k - 10. Let h be x\/(-9)*(-21)\/(-28). Let n = 50 - 45. Sort h, -3, n in ascending order.\nAnswer: -3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppaax. What is prob of sequence xpp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + (-5 + 3 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.47 times 0.1?\nAnswer: 0.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/9, -26, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*z - 73*z - 72 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 + 1. List the prime factors of v(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - w. Let y(r) = 9*r**2 + 9*r + 6. Let x(h) = -y(h) - 4*z(h). What is x(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 337?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 603.8269 - 570.826. Let w = d - 33. What is w rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34028 + -19328. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55731, -55737, -55743, -55749, -55755?\nAnswer: -55761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -0.1, 0.5 in descending order.\nAnswer: 5, 2, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5234462 micrograms in kilograms?\nAnswer: 0.0000000005234462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 - 2) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 688?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5 - 13916*x**4 - 55616*x**3 - 55600*x**2.\nAnswer: -4*x**2*(x + 2)**2*(x + 3475)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892703?\nAnswer: 7, 127529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2557, 2556, 2555?\n\"Answer: -v + 2558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -1648, -5284, -12372, -24064?\nAnswer: -41512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*k - 210. What is the highest common factor of k and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75861\/20 - 3793. Let t(l) be the third derivative of 0*l**4 + 0*l**3 + 6*l**2 - 7\/20*l**5 - z*l**6 + 0 + 0*l. Find the third derivative of t(y) wrt y.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**2*c**2*x - a**2*c*x - 16*a**2*x + 10*c**2*x - c wrt c?\nAnswer: -16*a**2*x + 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/4 - 1756019*s**3\/2 + 3083606240397*s**2\/4 - 1541800486171*s + 770899804081.\nAnswer: (s - 1756018)**2*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/460)\/(1743\/(-5810))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15295959 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0189620309 rounded to 6 dps?\nAnswer: 0.018962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9438*t - 6468*t + 2036*t.\nAnswer: -13870*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*g + 0 - 24*g + 4*g - 2*g**2 - 2 + 23*g to the form b*g + o + z*g**2 and give b.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 84*r - 4. Let s be y(-42). What is the closest to -2 in s, 4, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19960 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-3)*(-3)\/(-16). Let y = 22.44 + -0.44. Let i = y - 26. What is the third smallest value in -1\/8, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 5*n**2 - n - 3. Let u be p(5). Let i be 0\/(-3 - (u - -2)). Suppose i = -4*d - d. Solve 2*g + 0*g = d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3 (b) 3\/7 (c) 0.2 (d) 11 (e) -6137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujz when three letters picked without replacement from {z: 1, t: 3, d: 3, u: 5, j: 1}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 - 4*n + 8. Suppose h + 43*q - 38*q = 23, -3*h + 3*q + 105 = 0. What is the remainder when i(6) is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 8*y**2 - y - 2. Give v(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 + 1bc?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 2*y + 2*y. Suppose l + 4 = 0, -3*t + 2 = -0*t + l. Let v(x) = x - x - x**t. Give v(k(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1672 = 7*c - 869. Suppose 2*v + 2*w = -2*v + 500, 3*v + 2*w - 377 = 0. Suppose 2*f + c = v. What is f rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7631860 divided by 3815930.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 57?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 8451*o - 8427*o. Suppose 2*z + 106 = 6. Let c be -1*(3 - z\/(-16)). What is the closest to 0.2 in o, c, 1\/21?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/531 and 121\/1998?\nAnswer: 117882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 12*o**3 - 46*o**2 + 60*o - 25.\nAnswer: -(o - 5)**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116 or 10?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*b**2 + 4 + 2 + 1 + 16 wrt b?\nAnswer: 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*t + 327*t + 221*t.\nAnswer: 656*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19863, -17702, -15541, -13380?\n\"Answer: 2161*v - 22024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*h + 41 = 12, 0 = -3*k + 5*h + 27. Let x(d) = -d**2 + d + 15. Let b be x(k). Let s = -8 - -6. Is b bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, h: 5, w: 5, b: 5, l: 3}. What is prob of picking 2 l and 2 w?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -3)\/(-1)*3. Suppose -4*i + 3*n = -44, -2*n = q*i - 0*n - 16. Let f be 60\/i*(-1 - -7). What is the greatest common divisor of f and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/136141?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9149 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 + 277358.\nAnswer: 277499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1475693*f**4*q**2 + 119*f**3 - 44887*q**2 + 2*q + 6 wrt f?\nAnswer: 5902772*f**3*q**2 + 357*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397*-178.\nAnswer: -70666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 17. Let z be -10*(p - (-34)\/10). Let d be ((-4)\/z)\/((-4)\/12). Sort 1\/6, 1\/4, d in decreasing order.\nAnswer: d, 1\/4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 208*j**2 + 1. Let f be u(-1). Suppose 0 = 4*m - 3*g - 0*g - 296, g = -3*m + f. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2*o**3\/3 + 65. Let u(z) = -z. Let r(m) = m**2 - 4*m. Let n(f) = -r(f) + 4*u(f). Determine n(h(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*b - 138*b = 32. Suppose -4*l = -3*z + 41, b*z - 2 = -l + 21. Do -4 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t - 11. Let o(x) = -5*x + 11. Let c(l) = -6*h(l) - 5*o(l). Let d = 4 - 15. Let q = -16 - d. Calculate c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, l: 2, a: 9}. Give prob of sequence al.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 1. Let l(w) = -2*w - v + 1. Let m(j) = -3*j. Give m(l(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01313600712 to 5 dps.\nAnswer: -0.01314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(588)\/(sqrt(60)\/sqrt(5)))\/((((sqrt(112) + 1*sqrt(112))*-5 - sqrt(112)) + sqrt(112))*1).\nAnswer: -3*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 + 107. Suppose -g + 3*m = m - 4, t*g - 12 = 2*m. Calculate the smallest common multiple of 34 and g.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 7*z + 131. Let j(t) = -t**2 + 11*t + 23. Let l be j(0). What are the prime factors of c(l)?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*q + 13, 60 = 4*h - 4*q + 24. Suppose 3*r - 1 + h = 0. Let f = -1436 + 1436.3. Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/f*f\/f**(10\/3))\/(f**(-1\/6)*f*f\/f**0))**(2\/17) assuming f is positive.\nAnswer: f**(-55\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 3*n - 0*q - 18 - 9, 4*q - 8 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 61617790297 and -0.3.\nAnswer: 61617790296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242850973.\nAnswer: 242850973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245567475?\nAnswer: 5, 17, 2930747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101, 8, -169, -472, -943, -1624, -2557?\n\"Answer: -7*r**3 - 44*r + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2676 and -41\/799830.\nAnswer: 356724180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 15. Suppose j*h - 3*h = 32. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-1 - -24) + (-107 - -120)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*l**3 + 23*l**3 + 13*l**3 + (4 - 3 + 1)*(-22*l**3 + 163*l**3 - 35*l**3).\nAnswer: 233*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1\/6, -125.3, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173043, -173054, -173071, -173094, -173123, -173158, -173199?\nAnswer: -173246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2304 = -5*s, l + 908 = 3*s - 480. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -42. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/70148840 and -199\/4661790.\nAnswer: 1473125640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y + 3. Let k(z) be the third derivative of z**4\/8 + z**3\/6 + 3*z**2. Calculate -7*k(t) + 2*m(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2. Let b(d) = 227*d + 277. Give b(m(g)).\nAnswer: 454*g**2 + 277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 51 = 2*r - r, 4*r = 5*l + 141. Let n = r + 1. Suppose 3*b + 4*w = -12 + n, 3*b = w + 53. 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 fifty-three quarters of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 538*v + 3. Let k(l) = 2682*l + 14. Calculate 14*d(m) - 3*k(m).\nAnswer: -514*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2139 - -38873. Is 79 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3215.18 to the nearest ten.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9130 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: Four letters picked without replacement from inzbynnxnyyny. What is prob of picking 1 b, 1 n, 1 z, and 1 x?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4*v - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2.7, 1\/2, -5, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-2) - ((38 - 83) + 12)\/((-1)\/1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times -0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b**2 + 2826*b + 6903. Calculate m(-215).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21586747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyl when three letters picked without replacement from {c: 5, y: 1, l: 4, o: 5, w: 5}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.2 - 0.2. Let f = 7.9 - m. Suppose -3*n - n = -2*g - 8, 0 = 3*n - 5*g - 6. Which is the nearest to f? (a) n (b) -6\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 474 - 473.7. Let o be (-15)\/10*(-2)\/(-33). Let u = -13\/22 - o. What is the biggest value in -5, u, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46 - -0.76. What is the nearest to 1 in j, 7, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.6266 centuries in millennia?\nAnswer: 57.66266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145803000 divided by -5250.\nAnswer: -27772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (80 - 75) + 5 + (-2 - 1) + 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q**2 - 3*q - 3. Let f(g) be the first derivative of g**4\/4 - 4*g**3\/3 + g**2 + 2*g - 4. Let s be f(2). Give i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1148, 66, 1, 28, 0 in descending order.\nAnswer: 66, 28, 1, 0, -4, -1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*g - 37*g - 55*g - 2 to the form p + b*g and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**3 + 47*w**2 - 10*w - 14. Calculate a(9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = f - 2, j + 25 = 4*f. Suppose -5*z + 3 = -f. Suppose -5*d + 23 = -12. What is the smallest common multiple of d and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-5)\/3)\/5. Let b = -5 + m. Does 18 divide 1\/(10\/b)*-90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 58 = -49. Suppose 0*x = 5*x - 30. Suppose 0 = i + i + 2*l, -i = h*l + x. Solve -7 = i*c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 20, 23, 28, 35, 44, 55?\n\"Answer: v**2 - 2*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -6*u + 0*u**2 + 1\/6*u**3 + 0. Let l be b(2). Solve 3*g - 30 = -3*w + 8*w, -2*g + l*w + 16 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4928 and 46024.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 551*n*x**2 + 59100*n*x - 1461444760*n + x**3 wrt x?\nAnswer: 1102*n*x + 59100*n + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89643\/10 - -8974. Find the common denominator of 43\/166 and d.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.26, -1175977 in decreasing order.\nAnswer: 0.26, 0.2, -1175977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6153*p**2 - 49*p + 9599*p**2 + 26*p + 25*p to v + f*p + o*p**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25256 and 176.\nAnswer: 50512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1419424663 to the nearest integer?\nAnswer: 37675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by -7101923.\nAnswer: 88\/7101923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -7. Let o be (3 - (-1 - y)) + 0. Let t(m) = -4*m + 5*m + 5*m - 5*m - o. Give t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10146910 and 2438?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4696*y**4 - 60*y**2 + y - 1 wrt y.\nAnswer: -112704*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47038 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**2 + 6*c**2 + 4*c**2. Let s(y) = -7*y**2 + 2*y - 2. Give 6*r(x) + s(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - n**2 + 1. Let p(i) = i**2. Let d(k) = b(k) - p(k). Let f be d(1). Solve 2*z - 3*r - 19 + f = 0, 2*r + 6 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222640 = -11*v - 29*v. Does 46 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 2*k**2 - 2*k - 2. Let q be c(2). Let d = q - 13. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -252*n**2 - 208*n - 759. Give t(-4).\nAnswer: -3959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*m. Suppose -2*w - m + 6 = 0. Suppose 5*d + 1419975 = -w*b, -5*b - 3549985 = 2*d + d. Round b to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 586 - 2?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - m + 4. Let v be y(0). Suppose v*n - 144 = -4*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -55, -125, -223?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**5 + 16*f**4 - 2348*f**3 + 21912*f**2 - 36864*f + 17280 = 0?\nAnswer: -30, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9879007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2186588783 to the power of 1\/2, to the nearest integer?\nAnswer: 46761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 11830.\nAnswer: 11830.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/13 in -0.07, -0.201, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (11 + 15 + 16) - -27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0*k + 0*k**3 + 0 - 3*k**2 + 1\/24*k**4. Let x(r) = 5*r. Give x(m(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.968 rounded to two decimal places?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2332*t**2 + 810*t**2 + 773*t**2 + 755*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/3*(-765)\/(-204).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*q + 2, -2*h + 3*q = -0 + 5. Which is the closest to 0? (a) h (b) 4\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5315240 (base 6) to base 3.\nAnswer: 111011101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:30 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649289 - 193*k**3 - 3*k**3 - 649277 + 1298566.\nAnswer: -196*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46911, 46948, 46985, 47022, 47059, 47096?\nAnswer: 47133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (-4 + (0 + -6)*61\/(-122)). Calculate the greatest common divisor of u and 12858.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37786 = 3*s + 2*b, 53*b + 62985 = 5*s + 58*b. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -11.9. What is the biggest value in d, -0.5, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7621677.\nAnswer: 3, 7, 311, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99000 and 100?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (sqrt(170) + (sqrt(170) + sqrt(170)*1)*-1))*-6*-4)\/(-3*-2*(sqrt(90)\/sqrt(3))\/sqrt(3)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1516675223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*k + k - 7*k + 112. What is the closest to -14 in 7, k, -1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*(0 - -1) - 3. Suppose -c + 0 = -f. Let i(o) = 8*o**2 - 5*o - 5. Suppose 0 = -h - 3*h - 4. Let b(l) = l**2 - l - 1. Calculate c*b(q) + h*i(q).\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**8\/2240 + u**7\/840 + u**6\/120 - u**4\/6 - 4*u. Let j(n) be the third derivative of o(n). Find b such that j(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g = 43 - 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 4*i + 4. Suppose -i*s = -s - 12. Suppose -s*w = -2 + 38. Which is the nearest to -0.3? (a) w (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839.87688 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k + 2. Let q be l(1). Let m(x) = 2*x**2 - x - 7. List the prime factors of m(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 5*k)*(28 - 18 + 65)*(k - 4*k**3 - k).\nAnswer: 600*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 7:53 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23352 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 115 - -2*(-2 + 4). Calculate the highest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - m**2 - m + 1. Let n(b) = 9*b**3 - 81 + 87 + 62*b**2 - 68*b**2 - 6*b. Let y be (-2)\/6 + 28\/21. Determine y*n(f) - 6*g(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2)\/((-226)\/28 - -8). Let n = -28 - -45. Let l = f + n. Is l not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 120*y**2 - y - 19. Calculate the remainder when m(-3) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2017*r - 12*r**2 + 2 - 131*r**3 - 2019*r + 129*r**3 in the form w*r**3 + i*r + o*r**2 + k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -220*c**2. Let m(u) = -9*u**2. Determine d(m(p)).\nAnswer: -17820*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.6009 and -611700.\nAnswer: -611697.3991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-4))\/(((44\/(-11))\/((-20)\/2))\/4).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/144)\/(1*(-18)\/1404*-26)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 8*z**2 + 5. Let k be i(8). Suppose k*n + 13 = 3*s, -6*n - 29 = s - n. Let q = s - -20. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -288.5*-2\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 233 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*x**3 + 48 + 2*x - 22*x**3 - 24*x**3 to the form n*x**2 + l + w*x + y*x**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-8 + (1 - 1)) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1327.76112 hours to weeks.\nAnswer: 7.90334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55194693 is divided by 55194670.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 379613705 divided by -75922741.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/15 - 128*w**3\/15 + 1628*w**2\/15 + 896*w + 1470.\nAnswer: 2*(w - 35)**2*(w + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -72*k. Let w(x) = -6*x. Determine l(w(g)).\nAnswer: 432*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1900) + (-4*(-3 + sqrt(19) - sqrt(19)))**2.\nAnswer: 10*sqrt(19) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 - 4 = 0. Let o(m) be the third derivative of -5*m**4\/24 + m**3\/6 + 2*m**2. Let d be o(w). Sort -3, d, -1.\nAnswer: d, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 86 = 5*d, 0 = 925*d + 5*o - 9*o + 14812 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 - 16*q**2 - 16*q - 4. Let y(p) = 5*p**3 + 15*p**2 + 15*p + 5. Let j(z) = 5*b(z) + 4*y(z). Factor j(u).\nAnswer: -5*u*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18570.2 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14\/11 + 76\/77. Let i(f) = -f**2 - 26*f + 51. Let n be i(-20). Let g = n + -685\/4. Which is the second biggest value? (a) g (b) s (c) -0.4 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*27\/30*(-70)\/(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4423 (base 6) in base 4?\nAnswer: -33333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 + -105. Suppose 0 = -t + y - 5, -5*t + 3*y = -y + 21. Let o be (5\/(-20))\/(t\/(-4)). Which is the third biggest value? (a) 3 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 0, 1, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24502?\nAnswer: 2, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 306*f - 613*f + 308*f.\nAnswer: f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5498130 from 0.37.\nAnswer: 5498130.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 2*f**2 + 4*f**2 + 3*f**2 to z*f + x + r*f**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 60 = 26*k. Solve -3*m + 19 = h - 7*m, 3*h + m = k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -83*g + 2264. What is the thousands digit of s(-41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + (sqrt(36) - sqrt(576)*-6)\/(sqrt(36)\/sqrt(75) + sqrt(12)))**2.\nAnswer: 125*sqrt(3)\/3 + 15697\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26*(13\/(-3))\/(1742\/(-804))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -2\/11, -5, 1\/10.\nAnswer: -5, -2\/11, 1\/10, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1079109 and 2295.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*w - 110 + 37 = 191. Sort 3, w, 49, -2 in descending order.\nAnswer: 49, 3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, p: 6, c: 1, k: 2, m: 4}. What is prob of sequence oc?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a**2 + 6*a - 6. Let v(y) be the third derivative of 7*y**5\/60 + 5*y**4\/24 - 5*y**3\/6 - 16*y**2 + y. What is 5*j(s) - 6*v(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -1547*i + 1551*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 + 2. Let b(v) = 5*v**2 + v - 23. Give -b(u) - 2*t(u).\nAnswer: 3*u**2 - u + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 53*a - 3491. Let q be r(66). Let t(k) be the first derivative of -2*k**2 + 9*k - 2. Determine t(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2473 is divided by 308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 21*t - 61. Let w be a(-13). Solve -3*p + 0*p - w*z = -17, -3*p + z = 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 212844010311482 + 212844010311482.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85a (base 11) to base 15.\nAnswer: 48d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2. Let i be (16\/6)\/(4\/(-30)). Let a = -18 - i. Let l(y) = 18 - 18 - a*y. Determine l(b(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-152)\/2*(2 - -5)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 13*j + 21 + 28 - 32 + 18.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let i be (0 + (24\/(-6))\/(-2))\/(-2). Let y(w) = w + 1. Calculate i*y(c) - 2*b(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 3, i: 1, c: 2}. What is prob of sequence si?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40\/38 + 68 + -139 + 70\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 15 - 24 = 7*t + 83, -27 = 2*t - q for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17937892.\nAnswer: 2, 7, 29, 22091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 74 = -4*u + 6*u, p - 4*u = -28. Calculate the smallest common multiple of 42\/9*p\/(-28) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 196556.5l?\nAnswer: 196556500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12325, -8795, -2919, 5297, 15847, 28725?\nAnswer: 43925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 1, 4, 7, 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*g - 4*o, 3*g + o - 3 = -3*o. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**5\/5 - 29*q**3\/3 - 28*q + 4. Differentiate m(n) wrt n.\nAnswer: -8*n**3 - 58*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -12, -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*h = 74*h - 1218 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217 - 328. Let v = d + 116. Let n(t) = t**3 - 5*t**2 - 3*t + 6. Calculate n(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 3. Let i be a(-5). Let l(m) = 5*m. Let q(r) = -11*r + 88 - 43 - 45. Determine i*q(t) + 5*l(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*q = -23, -131*t - 146*t = 5*q + 2488 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -677 - -673. Let d(m) = -5*m**3 + 10*m + 8. Let i be d(z). Calculate the highest common factor of 72 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57652, 230932, 519728, 924040, 1443868, 2079212?\n\"Answer: 57758*l**2 + 6*l - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7109? (a) -44 (b) -4 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20245.\nAnswer: 5, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 0*s + 0*s + (5 + 0 - 3)*(-2*s + 0*s + 0*s) + 2*s - 3*s + 2*s - s + 19*s + 8*s + 40*s to b*s + p and give b.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 6, -3*l - 4*o + 1 = -13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 356*i + 350*i - 492 = l, 5*i = -l - 242 - 176 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3632 + 45?\nAnswer: 3677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 435\/1017602?\nAnswer: 435\/1017602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-79)\/5)\/(10\/(-50)) + -4. Suppose 135*i - 132*i + x = 0. Let b(k) = -520*k**3 + 25*k**2 + 24*k - 25. Let o be b(i). Round o to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/4 (b) 0 (c) 0.5 (d) 0.026 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -0.2. Let i = 0.01 - -0.99. What is the nearest to i in 3, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/10)\/((-105)\/70)*10\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(192)*-3 - 1*(-3 + sqrt(192)))*6)**2.\nAnswer: -2304*sqrt(3) + 110628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -6. Suppose -4*h + 294 = 2*h. Calculate the remainder when h is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -462920 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70679211 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 56 + 56.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1564, -4, 2.\nAnswer: -1564, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 2*j - 8. Suppose -3*x - 45 = -4*g + 98, 2*g = x + 69. Suppose -20 = -g*o + 37*o. Give h(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**5 - 544692*t**4 + 24724659258*t**3 - 49447684452*t**2 + 24723569883*t = 0.\nAnswer: 0, 1, 90781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*b - 15*b - 64 + 1129 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2160) + -1*2*sqrt(2160) - sqrt(2160)))\/(2*sqrt(245)*2 - sqrt(245) - (sqrt(245) + (-4*(sqrt(245) + sqrt(245)*1) - sqrt(245)) + sqrt(245))).\nAnswer: -12*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*v)*(-5*v**3 + 2*v**3 + 0*v**3) - 64*v**2 + 64*v**2 + 8*v**4.\nAnswer: 17*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(1\/35)\/(((h\/(h\/(h*(((h*h**0*h)\/h)\/h)\/h)*h*h))\/h)\/h)**(-5))\/((h\/((h\/h**3)\/h))\/(h*h**(1\/3))*(h*h**(1\/10))\/(h**6*h)) assuming h is positive.\nAnswer: h**(-3509\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 9*w - 5. Suppose 5*r = -n + 14 - 9, 0 = 4*n - 3*r + 26. Let y(k) = -2*k**2 + 4*k - 2. What is n*y(s) + 2*c(s)?\nAnswer: 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y - y. Let s be -2*(54\/(-6) - -7). Suppose -d - 65 = -s*d - 2*o, 84 = y*d + 4*o. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = 2*x + 5*l, -3*l + 2 = 5*x. Let n(t) = -3*t + 2. Let u(w) = 13*w - 9. Let o(a) = x*u(a) - 9*n(a). Let m(q) = -q**2. Calculate o(m(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176744795 is divided by 137.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -7. Is 4\/d + 1 + (-10520)\/(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:02 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1 - 4*n**2 + 3*n**2 - n**2 + n**3 - 30*n + 24*n. Give m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3951939 >= 3951943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -2072535?\nAnswer: -82901.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1360?\nAnswer: -3\/1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7549 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 214308\/59 or 3633?\nAnswer: 3633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38038 + 11?\nAnswer: -38027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - -374.\nAnswer: 374.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = 90. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1 + 3*d**2 + 7*d + 0*d**2 - 9*d. Let v be r(-1). Suppose -75 = -7*c + 4*c. Solve 0 = y + 5*a - 5, -y - 2*a + c = v*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 76.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/18, -26, -1, 3\/4 in ascending order.\nAnswer: -26, -1, -1\/18, 0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*t - 3 = -6*z, -3*t + 1 = -2*z. Suppose 2*m - 6*m - 4*s + 24 = 0, -2*m - z*s = -18. Solve m*l - 5*l = 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 36*g + 1659. What is the remainder when 2411 is divided by z(21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 7 + -17 + 7 + -4 + -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/120 - 7*q**5\/30 - 5*q**4\/8 + q**3\/3 + 21*q**2. Let p be u(15). Suppose -p*f = -0*f + 2. Is f smaller than -6\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000413415981 rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 358*b**3 + 4*b**2 + 1432*b.\nAnswer: -b*(b - 2)*(b + 2)*(b + 358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose -2*w + 20 = m*w. Find t such that -7*t**3 + 1\/3*t - 13\/3*t**2 + 2\/3 - 3*t**w = 0.\nAnswer: -1, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - ((20 - -6) + -28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 6*y - 20. Let x be (-2)\/14 + -423*(-13)\/273 + -6. Calculate l(x).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*v**4 - 765176*v**3 + 5*v + 378500331?\nAnswer: 20*v**3 - 2295528*v**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/((-148896)\/(-64)))\/((-28)\/72*-2)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1397 - 762. Suppose -644*o + f*o = -837. Suppose -2*l + 75 = l. Calculate the remainder when o is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + 136?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k**3 + 27 - 3*k**2 + 2*k**2 + k**3 + 2*k**2. Let d be t(0). Suppose f = 4*q - d, f - 5 = -0*f. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - x**2 + x**3)*(3*x + 172*x + 27*x + (-4 + 6 - 4)*(-3*x + 0*x + 2*x)) as i*x**4 + k*x**3 + z + p*x + f*x**2 and give i.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600.55487 rounded to the nearest 10?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 0.424\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 2:55 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237753 by -9.\nAnswer: 26417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10505534 divided by 13.\nAnswer: -808118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2556480044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*o**3 + 1212*o**2 - 1212*o**2 + (-o**2 - 3*o**2 + 3*o**2)*(4*o + 0 + 0).\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2588 or 2537?\nAnswer: 2537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2 (c) 2695 (d) 3 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 6*l + 52 - 5)*(-4 + 1 + 0).\nAnswer: -12*l - 141","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2111 - -3517. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 13 = -3*w - 5, 5*w + 37 = -j. What is the common denominator of w\/28 - 10810\/(-840) and -41\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 76.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1736, 1772, 1808, 1844, 1880, 1916?\nAnswer: 1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 63\/18)*(-256)\/(-101248).\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 650 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 32105941\/4 and 8026485 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 j when four letters picked without replacement from jjjhhjjjhjhjjj?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/11, 0.4, 74466?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/9 + 1858*o**3\/9 - 153536*o**2\/3 + 13303808*o\/9 - 12845056\/9 = 0. Calculate o.\nAnswer: 1, 32, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*w + 10 = 0, 31 - 5 = 7*j + 4*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 24360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 3 - 3)*(32 + 64 + 55) - 4*c + 5*c - 2*c to v*c + r and give v.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/10*(-64)\/(-12). Find i, given that -2*i**5 - 19*i**2 - b*i**3 + 17*i - i - 10*i**4 + 21*i**2 - 6*i**3 + 8 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*a - 18, -22 = -2*i - 4*a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/384 and 43\/132.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7)\/y)\/(y\/y**1*y))\/(y**2\/((y*y*y\/(y*y\/(y*((y\/(y\/y**(1\/12)))\/y)\/y)*y))\/y*y)) assuming y is positive.\nAnswer: y**(-143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*s + 173*s = 0. What is the nearest to -0.2 in 0.2, s, -20?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 55*w**2 + 826*w - 1977. What is x(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 20 = -4*w, -3*u + 3*w + 9 = 2*w. Let v be ((-2)\/(-12))\/(2\/u). Are v and 0.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 501*h + 4569. Give d(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 94.184 + 2\nAnswer: 96.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3703540 rounded to the nearest one thousand?\nAnswer: -3704000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*u - 8, 0 = 2*k - 5*u + 166 - 154 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186228.253 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*q - i, 0 = -2*i - 3*i - 5. Let n = -53\/4 + 13. What is the nearest to -1 in 4, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**3*s**3 + p**3*s + 124*p**2 + 17002*s**3 + 2*s**2 wrt s?\nAnswer: -30*p**3 + 102012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6 + 210\/3150\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15480919.\nAnswer: 79, 127, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9556, -9562, -9568, -9574, -9580?\n\"Answer: -6*t - 9550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 413 - 150. Suppose 0 = -0*f - 3*f + 4*u + n, -u - 342 = -4*f. Suppose -f = -4*y + 83. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 557 - 554. Let y(n) = -2*n**3 + 3*n + 3. Let q(o) = 7*o**3 - 8*o - 8. What is u*q(b) + 8*y(b)?\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let i be (-6)\/(-12) - 8154\/(-220). Let n = i + -186\/5. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.05 + -0.05. Let x be 2*1*(-6)\/(-9). What is the closest to -1\/4 in x, h, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2418*b**2 - 188 wrt b?\nAnswer: -4836*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750651571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516866 is divided by 172133?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 6, 1310, -1, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = -3. Let x be (-3)\/6*(-6)\/t. Suppose -1 = -x*n + 2*n. Does n = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Suppose -q + w = -28, k*q + 4*q - 136 = -2*w. Let c be q\/(-28) + 0 + 1. What is the closest to 1\/3 in -2, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -417344630326 - 0.2.\nAnswer: -417344630326.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/14 + (-6240)\/(-70). Let x = -88 + y. Which is smaller: 3\/23 or x?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 20220211011?\nAnswer: -20220211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11346 and 21018?\nAnswer: 1282098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 266 - 10. Solve 4*u - 32 = 4*b, 5*u - 3*b - y = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*12\/21)\/(180\/1584*(-2)\/(-5)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 177\/20 (b) 0.2 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -374*u. Let g(l) = l**2 - l + 1. Let z(p) = -p**2 + 2*p - 2. Let k be (10\/35)\/(80\/(-28) - -3). Let m(d) = k*g(d) + z(d). Calculate m(j(x)).\nAnswer: 139876*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from qtfqhzw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5867*q + 9152 = -6043*q for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.4 - 12.399694. What is b rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 2*v**2 + 2*v - 3. Let g be p(2). Suppose 8 = 5*q - 4*f, -q - q + 3*f = g. Solve 5 + 3 = q*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 198.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1084 + -45.5916. Let v = s - -43. Let u be (1 + -1)*4\/12. What is the nearest to u in -0.4, 4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 9401 - 1621. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + f + 1. Give b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 - 2 - 1 + 10 - m**3. Calculate j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5003884546 to the power of 1\/2, to the nearest integer?\nAnswer: 70738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aarea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 295294483 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 532 (b) -3 (c) -7 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -319*i**2 - 5*i + 3. Let m be q(-5). Let b = m - -158999\/20. What is the common denominator of 17\/20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 9, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**4\/6 + 4*l - 1. Let t(g) = 6*g**2. Determine r(t(j)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1180*f**3 + 23*f**2 - 34*f - 7. Let j(o) = 1178*o**3 + 25*o**2 - 34*o - 8. Let x(k) = 7*j(k) - 8*n(k). Find the third derivative of x(q) wrt q.\nAnswer: -7164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -749 <= -751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10467\/4 - ((3\/(-12) - 0) + -1). Calculate the highest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26560.305ms to minutes.\nAnswer: 0.44267175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 18 = 3, 0 = h - 3*l - 44. Let w = -19 + h. Calculate the remainder when w is divided by -3*16\/(-12) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 221 and 711282?\nAnswer: 12091794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1623916 and 8.\nAnswer: 3247832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l - 2 - 4*l + 15 - 8*l. Let c be b(6). Let u(p) = p**3 - 8*p**2 + 6*p + 17. Let g be u(c). Calculate the greatest common factor of 110 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 0 - 3) + -16 + (16 - 2 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 4*g**2 - 3*g**4 + (10*g - 4*g**4 - 10*g)*(-5 + 4 + 3) to b*g + y*g**2 + r + k*g**4 + a*g**3 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3129\/2 - 1555. Calculate the common denominator of n and 37\/225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 32*c - 98*c - 4 + 31*c + 30*c. Determine t(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133411223 - 4?\nAnswer: -133411232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3938 = -161*o - 1201 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 + 3*a**2 - 3*a. Let r be y(1). Put 12, r, 4 in increasing order.\nAnswer: r, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 1\/1 - -32. What is the greatest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - 4*o**2 - o**2 + 5*o**2. Let d(m) = 31*m. Calculate t(d(s)).\nAnswer: -3844*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 1, c: 2, f: 10}. Give prob of picking 1 m, 1 f, and 1 r.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -803653, -803506, -803333, -803122, -802861?\n\"Answer: 2*f**3 + f**2 + 130*f - 803786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + sqrt(637)*-3*5)**2 + sqrt(637).\nAnswer: 7*sqrt(13) + 124852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -3*k + 12*i - 38, -i = -3*k - 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 932789 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 23 = -o - 3, 3*o = -5*q - 8. Let m(w) = w**2 + 4. Let d be m(0). Solve -c - 4*t + 6*t + d = 0, c + 4*t = o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 62156148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:29 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 19. Let i(w) = -w + 9. Suppose -5*r + m = -15, -3*m - 2*m = 0. What is the remainder when i(c) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 6 + 6)*(133*j**3 + 142*j**3 - 273*j**3 + (-2*j + 2*j + 2*j**2)*(-1 + 1 + 2*j)) to the form u*j + a + y*j**3 + x*j**2 and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 5202294.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + y - 9 = 50, y = 4*g + 77. Let x = 40 + g. Solve -b - 19 = -3*k, -5*b + k = 3 + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -13 + -8 + -5 + 12 + -16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6*j - 12 = 0. Let y be ((-3)\/j)\/(3\/54). Let t(n) = 3*n + 19. Calculate the least common multiple of t(y) and 16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -45*u**3 + 6733*u**2 - 23. Let s(c) = 4*c**3 - 611*c**2 + 2. Determine -23*s(z) - 2*t(z).\nAnswer: -2*z**3 + 587*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n + 3994 - 6708 - 4986 = 470*n for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2 - 62300*d - 124596 = 0.\nAnswer: -62298, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 627 = l. Let b = l + 60. Solve 5*j - b = -13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -103\/5 (c) -363 (d) -1 (e) -284 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3979*y. Let s(m) be the first derivative of -m**2 + 341. Determine s(k(b)).\nAnswer: 7958*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 20. Let s = 17 + i. Suppose -s*y + 1522 - 486 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-17))\/((u*u\/(u*u*u**(20\/7)*u))\/u) assuming u is positive.\nAnswer: u**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/120 - u**4\/24 + u**3\/6 + 14*u**2. Suppose 5*s + 3*q - 5*q - 7 = 0, -3*q = s + 2. Determine c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.6 and -240.\nAnswer: -250.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -51. Calculate the highest common factor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:36 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3439, -3631, -3845, -4093, -4387?\n\"Answer: -2*b**3 + b**2 - 181*b - 3257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45356078 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 23*z - 4 + 6 - 4 + 13. Calculate the remainder when n(-26) is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18307568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45701)\/2691 + 17)*9.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11172 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: Rearrange 0*y**2 + 118*y**3 - 7*y**2 - 116*y**3 + y to f*y**3 + p*y + r + i*y**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 + 320*o\/9 - 1274\/3.\nAnswer: -2*(o - 147)*(o - 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192)\/sqrt(4))\/sqrt(8))\/sqrt(2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 1001001?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 12:56 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (-32 - -33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 4*q + 0*q + 8*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92\/93 + -10\/31. What is the closest to p in -2, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - sqrt(22)*-1)\/sqrt(11))**2 - (-2*sqrt(18))**2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let w(s) be the third derivative of s**5\/60 - s**4\/12 + s**3\/6 + s**2 - 13. Let v be w(p). Solve -2*y = -v*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*r - 409 = 101, 2*n + r - 1011 = 0. What is the lowest common multiple of n and 707?\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53 + 0?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -124, 0, 4 in increasing order.\nAnswer: -124, -4, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 0.103671.\nAnswer: -0.303671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (17675\/9898)\/((-135)\/63)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-198)*(12 - 9)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/210*(-140)\/(-40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + 4 + 4 + 4*sqrt(275) + 2.\nAnswer: 10 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**3 + 6*f**3 - 9*f + f**2 + 5*f + 0*f in the form r + g*f + u*f**3 + l*f**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:18 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6 - -1)\/5)\/(6\/(-42)). Suppose i = -z*i + 104. Calculate the remainder when 168 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 29. Is n <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83884 is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12704 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: What is the highest common factor of 517440 and 10824?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -705, -2714, -6061, -10746?\n\"Answer: -669*q**2 - 2*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.129 + 111.586. Let z = v - 1.115. Round z to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*y + 112 = -42*y - 85 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94.5 - 90.49. Let k = -4 + z. Let t = k - 0.009985. Round t to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + -1 + sqrt(208) + ((sqrt(208) + -2)*-5 + sqrt(208) - sqrt(208)) - (sqrt(208)*-5*1 - (3 + (2 + sqrt(208) - sqrt(208)))))**2.\nAnswer: 152*sqrt(13) + 569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 7103.023562.\nAnswer: -7107.023562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2899 + 3090. Does f = 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3217455 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 19 + -3 + (9 - 21) + 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3943d8 (base 15) to base 6\nAnswer: 134522452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.022 + 3.54. What is o rounded to 2 dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 - 2*d - 1. Let f be v(-2). Let l = 7 - f. Solve 5*j - l = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 274891, 274816, 274741, 274666, 274591, 274516?\n\"Answer: -75*s + 274966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 5*a**2 + 2*a - 4. Let n be d(4). Let s = n + 18. Let h be -1 + 2 + 24\/s. Calculate the greatest common divisor of h and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**5 + 236*z**4 - 4028*z**3 + 16324*z**2 - 24192*z + 11664 = 0.\nAnswer: 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let i(b) = 11*b - 4. Calculate 14*h(f) + 2*i(f).\nAnswer: 8*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c + 4*c - 61 - 31 + 8*c as x + g*c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20378069 and 4071.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-1843)\/(-361) - 14).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(192) - (-1*sqrt(192) + sqrt(192)))**2 + -4 - (sqrt(45)\/(-2*sqrt(5)))\/sqrt(3).\nAnswer: 17*sqrt(3)\/2 + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqrrchpq. What is prob of picking 1 r and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2. Let l(f) = 14*f**2 + 3*f + 24. Let q(d) = -24*d**2 - 5*d - 49. Let b(k) = -5*l(k) - 3*q(k). What is j(b(p))?\nAnswer: -4*p**4 - 108*p**2 - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from {z: 5, y: 8}.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 - -50 - ((-2 - 4) + 3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) -3\/8 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -5 (c) 1232329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 476018 divided by -2\nAnswer: -238009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22172 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, j: 1}. Give prob of sequence gi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -262*c - 11. Is p(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*(sqrt(35) - sqrt(70)\/sqrt(2)))\/(sqrt(28)*-2))**2 - (-5 + sqrt(80) + 2 - sqrt(80) - (sqrt(80)*-2 + 1))**2.\nAnswer: -336 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - l + 1. Let f(q) be the third derivative of q**6\/15 + 7*q**4\/24 - 2*q**3\/3 + 23*q**2. Determine -f(b) - 6*m(b).\nAnswer: -2*b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 - 4*v**2 + 13*v + 4. Let i be z(4). Let x be (-2 + 200 + 1)\/(-1). Which is bigger: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 818 - 1623 + 333*p + 799 to the form d + f*p and give f.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**4 - 2*p**2 - p + 2*p**4 - 5*p**3 + 3 - p**4 + 6*p**3 to l*p**4 + d*p + a*p**2 + v + q*p**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 60*h**3 - 288*h**2 + 304*h.\nAnswer: 4*h*(h - 2)**2*(h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -83 and -165\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 15306 = 2*z, 5*z + w = 38257. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 + 2.878993\nAnswer: 3.578993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2\/71, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 30\/43, -0.1 in decreasing order.\nAnswer: 30\/43, 1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -75 + -100?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7843221 is divided by 317.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, v: 2}. Give prob of sequence svsv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 323, 2673, 8973, 21197, 41319?\n\"Answer: 329*b**3 + b**2 + 44*b - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 720\/(-120)*1\/33.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r - 11. Let u(b) = b + 5. Let h(z) = z. Let g = 116 + -115. Let s(c) = g*u(c) + 2*h(c). What is -3*i(w) - 7*s(w)?\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6*z - 18*z**2 + 6 - 4*z to u*z + d*z**2 + i and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 92178\/378 - (-2)\/14. Solve -w = -48*q + 92 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 220 = 5*s + 253, s - 48 = 4*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93517, -188229, -284119, -381181, -479409, -578797?\nAnswer: -679339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(175) + sqrt(175) + 1)*4 - (sqrt(175) + -2)*-5) + ((sqrt(175) + 0 + sqrt(175))*2 + sqrt(175) + 4)*-1)*5)**2.\nAnswer: -20000*sqrt(7) + 282500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 4 + -11 + (43 + -40 - (-13 + 1))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2505.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 9*y - 45 = 4*y, 0 = 5*z - y - 78. Suppose -16 = 2*x + 4*k + 2, -5*x = -5*k + z. List the prime factors of (x\/2 - -2)*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 5*j + 72 = 3*m, 4*j = 5*m - 148. Let i be 6\/8 - 1\/(8\/j). Find the first derivative of 5*k**3 - 1 - k**3 + i*k**3 - 21 wrt k.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -125*p**3 - 69775*p**2 + 55880*p - 11180 = 0.\nAnswer: -559, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2079 - 8668 + 738 - 4977 - 7295 - 7707)*(2*a**2 + a - a).\nAnswer: -51660*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-5)\/w*w))\/w)\/w*w**(1\/14))**(1\/14) assuming w is positive.\nAnswer: w**(57\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - a8?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 88*o + 5722. Let k be m(-65). Let x(u) = -50*u**3 - 4*u**2 + 11*u. Let w(g) = -10*g**3 - g**2 + 2*g. What is k*x(d) - 11*w(d)?\nAnswer: 10*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/9)*z)\/z*z**13\/z)\/((z\/(z\/z**(-17)))\/z**(-18)))**(-34) assuming z is positive.\nAnswer: z**(-3400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/5680 and 77\/64270?\nAnswer: 36505360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32347244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(14*1\/(-6))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3970628 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**2*s + 12699*r**2 + 54*r*s + 20*s with respect to s.\nAnswer: 2*r**2 + 54*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*t + 2091 + 6661 + 7831 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*b - 350 = 0, -3*r = 2*b - 260 - 2. Let d = -66 + r. Calculate the remainder when 135 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*t = 28, -10*g - t + 13 = -8*g. Solve w = -4*d + g, w = 2*d + 2*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010010110110 + 100?\nAnswer: -1010010010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/32, 7 in descending order.\nAnswer: 7, 1\/32, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**2 + 58*d**3 + 0*d**3 + 840 - 841.\nAnswer: 58*d**3 + 19*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.088 and 7.77088.\nAnswer: 7.85888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2)*9\/((-81)\/(-6)). Let t(w) be the first derivative of -w**4\/4 - w**3 + w**2 - 2*w + 751. Determine t(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41880 by -1.\nAnswer: 41880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000010000 - -10210?\nAnswer: -1222222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1007*u**3 + 1930*u**3 - 924*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*z**4 + 35*z**4 - 22*z**4 - 2*z**3 + (-4*z**2 + 0*z**2 + 5*z**2)*(-2 + 2 + z**2) as x*z**3 + q + s*z**2 + k*z**4 + t*z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - g - 43 = 0, 4*g + 27 = -895*k + 896*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57, 2\/23, 31, 3, -2\/5, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162065454 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103566 and 16.\nAnswer: 828528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354 divided by 59.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + 116*p - 116*p + 47)*(2*p**2 + p**2 + 0*p**2) + 6*p**4 - 4*p**4 - 3*p**4.\nAnswer: 11*p**4 + 141*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151194 is divided by 6570?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - 0.1. Let v = s + 0.5. Let t = -1016\/995 - -44\/199. Which is the second smallest value? (a) v (b) -1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 67 = -b, 3*b + a + 32 = 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 - u - 15. Let g be d(-3). Let o = g + 71. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -29*y. Let w(o) = 68*o. Let p(r) = 9*i(r) + 4*w(r). Let a(t) = -2*t**2 - 1. Give p(a(m)).\nAnswer: -22*m**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) + (-18)\/20. Let m be (-1)\/2 - 1\/4. Sort m, w, -3 in increasing order.\nAnswer: -3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v**2 + 0*v**2)*(73 + 49 - 12)*(-1 + 1 + 3) - v**2 - 2*v**2 + v**2.\nAnswer: 658*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.4, 0.2, 0, 2\/2001?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-2.16\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1476 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1346101 (base 7) to base 12.\nAnswer: -8805a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/18098476 and 59\/44.\nAnswer: 18098476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8562 and 693522?\nAnswer: 693522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -446869\/16 + 27955. Are 27 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 873654814?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 45*x**2 - 248*x + 15. Give n(-6).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3598642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 4*o**2 + 3*o. Let t be s(2). Let l be 75\/t*(2 - 0). Suppose q = -4*q + l. Let b(u) = u + 1. Give b(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344103540 divided by -66?\nAnswer: -5213690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*b + 3, -4*b = 9 - 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*f**2 + 88307*f**3 + 3*f**2 - 15*f - 88306*f**3 to z*f**3 + a*f + x*f**2 + p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195)\/(-24) - 21\/((-105)\/(-40)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9161497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 290091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677401.\nAnswer: 131, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*o - 9, -21 - 14 = -3*k - 5*o. Solve 9 + 11 = -k*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3869181 times -5?\nAnswer: 19345905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21721 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978044?\nAnswer: 2, 3, 164837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/28*-10)\/(((-900)\/(-168))\/25).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -4)\/((-130)\/208). Suppose 5*o - 33 = 7. What is the greatest common factor of o and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -a + m, -2*a = -875*m + 872*m + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 10*s**2 - s + 14. Let y be w(10). Find the second derivative of -5*m**4 - m**y + 24*m**4 - 59*m + 3*m wrt m.\nAnswer: 216*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17075218.\nAnswer: 2, 67, 79, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 1 + q + 3*q + (-2 + 0 + 3)*(-2 + 2 + 2*q).\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23a - -70?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1552*c**3 + 780*c**3 + 13*c - 13*c + 782*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b - 3. Let w be x(3). Is (14*-1)\/((-12)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 968602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(252)\/sqrt(4)*-3)\/((sqrt(81)*1 + sqrt(81))*2)*-4.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = 2. Let c be 15\/(-6) + a\/4. Let k be (((-3)\/(-5))\/c)\/1. Is -1 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.15644 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 192 = h. Suppose 4*b = b - 177. Let w = h + b. Is w != -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16768 and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10325 + 1401451352.6.\nAnswer: 1401441027.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.94 + 0.72. Round g to one dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130311 + -1?\nAnswer: 130310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -140*k**2 - 1. Let w be l(-3). Let t = w + 2587\/2. Find the common denominator of -5\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.58001 + 39.54. Round p to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/(-27)*3\/(-15) - (-99)\/55. Solve -4*v - 4*c + 7*c - 15 = 0, d*c = 3*v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.052 + -0.948. Let h = 0.3 + -0.35. Let g = h - 0.15. What is the closest to -0.1 in -1.2, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13583 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 310.3 - 307. Put -1, o, -0.3 in decreasing order.\nAnswer: o, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 5, y: 3}. What is prob of sequence uk?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/442*(-10)\/(-25)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4336188 is divided by 98.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1)*(0 + 3 - 1)*(161 - 161 + 30*q**2)*(-4*q + 4*q - 3*q**2).\nAnswer: 180*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 98. What is l(15)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3942 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79855192 greater than or equal to 79855192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**3 + 590*c**2 - 906*c + 3600. Determine h(146).\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1141*l**2 + 4389*l. Let n(h) = 18253*h**2 - 70225*h. Let r(u) = 94*a(u) + 6*n(u). What is the second derivative of r(g) wrt g?\nAnswer: 4528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, g: 1}. What is prob of sequence pn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/8 - 292539*x\/4 + 1316547.\nAnswer: -3*(x - 18)*(x + 195044)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -38.31 = 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 9*s**2 + s + 10. List the prime factors of z(8).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)\/(i\/i**(-4)))\/(i**(16\/9)\/(i*i**37\/i)) assuming i is positive.\nAnswer: i**(227\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124898 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - v**2 + v + 1. Let n(z) = -4*z**3 - 5*z**2 + 6*z + 7. Let m(l) = 11*f(l) - 2*n(l). What is m(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -70*s - 127 + 45\/2*s**2 - 5\/3*s**3. Factor x(l).\nAnswer: -5*(l - 7)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -11 - -20) + (-218 - -256).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16944 divided by 4236?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -0.34.\nAnswer: -2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -34*g**3 + 3*g**2 - 3*g. Let u(w) = -w**3 + 19*w**2 + 24*w - 453. Let s be u(19). Let t(l) = -170*l**3 + 16*l**2 - 16*l. What is s*t(j) - 16*y(j)?\nAnswer: 34*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-11) + (-4)\/22. Let d = -9 + 3. Let p = d + 4. Which is the nearest to y? (a) p (b) 1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-8)\/10*(-15)\/(-21))\/((-278)\/(-12649))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**0*f*f)**6)**30\/((f*f*f\/f**(1\/7)*f*f*f*f*f**(-2)\/f)\/((f*f**(-1)\/f)\/f)**(-2\/133)) assuming f is positive.\nAnswer: f**(95251\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 - -1 - -2. Suppose 4*t + 3*z - 6 = 3*t, -5*z = -h*t + 88. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 6*w + 3*w)*(0*w - 480 - w + 861 - w - 446).\nAnswer: -12*w**2 - 390*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*y**3 + 37*g**2 - 3*g*y**5 + 2*y**5 - 4*y wrt y.\nAnswer: 6*g**2*y - 60*g*y**3 + 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0*u**3 + 1\/105*u**7 - 1\/50*u**5 + 0*u**2 + 0 + 1\/75*u**6 - 1\/30*u**4 + 5*u. Find r such that y(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - 2*-1*sqrt(99))\/sqrt(3))\/((sqrt(81)\/(sqrt(6)\/sqrt(2)))\/sqrt(9)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1111111110111001011?\nAnswer: -1111111110111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -243380.\nAnswer: -243380, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033042591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*n + 26. Suppose m - 2 = 8*i - 9*i, 3*i + n = 5*m. Solve 16 = -2*t + 3*t - 3*w, 0 = m*t - w - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*v - 9, -2*v - 3 = -7. Let l be ((-9)\/q)\/(3\/2). Let n(z) = 2*z**2 - 2*z**2 - z**l. Let x(f) = -f**2. What is x(n(j))?\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/108*2*9\/(-168))\/(64\/112).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -915*h. Let c(o) = -42*o**2. Calculate c(s(k)).\nAnswer: -35163450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = t + 14, 0 = 2*h - 3*t - 11 - 3. Suppose 1 = -h*z - 15. Let c(n) = -n**3 - 4*n**2 + 2*n + 5. Give c(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -120*h**4 - 25*h**2 - 65*h - 25. Let k(c) = 15*c**4 + 3*c**2 + 8*c + 3. Let z(o) = 6*b(o) + 50*k(o). Find the second derivative of z(u) wrt u.\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 + (-40)\/18. What is the common denominator of (-516)\/(-21)*l\/(-8) and 15\/(-6)*101\/(-15)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4439, 8857, 13251, 17621, 21967?\nAnswer: 26289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -60.5. Let r = -12 + i. Put r, -4, 5 in descending order.\nAnswer: 5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - z)*(z - z - 2*z**3)*(45 - 97 - 503).\nAnswer: 1110*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 743965664?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/14 + 2028\/168. Let t(c) = -22*c - 14. Let p be t(-5). Calculate the highest common factor of q and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 958122 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (636\/8)\/1 + 3\/(-2). Let p = 387\/5 - g. What is the second smallest value in -2, p, 12, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**5\/7 - 1114*c**4\/7 + 299038*c**3\/7 - 25230736*c**2\/7 + 272127001*c\/7 + 2029482530\/7 = 0.\nAnswer: -5, 19, 167, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30779 is divided by 1397.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3\/7, -332?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**4\/4 - s**3\/3 + s**2\/2 + s + 3773. Let k(p) = 25*p**3 - 6*p**2 + 6*p + 4. Determine -k(c) + 6*n(c).\nAnswer: -31*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1426630 and 18.\nAnswer: 12839670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 334248 and 4448.\nAnswer: 185841888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 879.\nAnswer: 11427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*l + 1, 4*r + l + 17 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(44) + (sqrt(220)*-2)\/sqrt(5) + sqrt(44) - 2*sqrt(1100))\/((sqrt(2880)*-2)\/sqrt(5)*-6).\nAnswer: -5*sqrt(11)\/72 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-24)*-1*(-140)\/21. Which is the third smallest value? (a) 2\/21 (b) o (c) -99 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 46222*c**2 + 18*c + 56. Let j be p(-3). Round j to the nearest ten thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -226*p**2*z**2 - 24*p**2*z - 2*z**2 + 55*z - 2018 wrt p.\nAnswer: -452*p*z**2 - 48*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(1210)*2) + 2.\nAnswer: sqrt(13)\/22 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**3\/3 + 3*f**2\/2 - 13. Let p be l(-3). Let k(s) = 2*s**2 - 19*s + 9. Let j be k(p). Solve -4*v + v = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Let s(g) = 3*g**3 - g. Let j be s(1). Let q(l) = -l**2 + 3*l + 3. Let m be q(3). Which is the nearest to u? (a) j (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + 103*o + 18. Let m be k(22). Let q = m + -342. Solve 2 = -4*y + q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21330030013 - -3?\nAnswer: 21330030022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose c*q = -2*b - 0*q + 30, -4*b = 3*q - 58. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 3*a**2 - 3*a + 3. Let h be m(3). Find the common denominator of 219\/(-9) - 4\/h and (2\/(-4))\/((360\/1089)\/8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -61, -51, -41, -31, -21?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 231 + -150153346?\nAnswer: -150153115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7*x**2 - 20\/7*x + 4\/7*x**5 + 8\/7 - 16\/7*x**4 + 16\/7*x**3.\nAnswer: 4*(x - 2)*(x - 1)**3*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-5566.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -7, -1.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4803 in 5, 7, -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 630795 divided by 11469\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -961*k**3*s + 5*k**3 - k**2*s - 5*k*s - 19*s - 5 wrt k?\nAnswer: -5766*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 134*j - 225*j + 140*j. Let x(i) = 2*i. Calculate x(u(k)).\nAnswer: 98*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 22 + 17 + 14 - 10)*(-11*o**3 + 5*o**3 - 8*o**3).\nAnswer: -434*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 6:27 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2852*h**2*m**2 + 22*h**2*m + 3*h*m**2 + 1172332*m**2 wrt h.\nAnswer: -5704*h*m**2 + 44*h*m + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 17. Give p(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 0*l + 2 + 0*l + 3*l**2 - 6*l**2 + 2*l**2 + 4 - 5*l**2 - 4 - 2 + 2 - l**2 + (-3 + 3 - 1)*(0*l + 0*l + 2*l**2).\nAnswer: -12*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - u**2 - u + 1. Let a(f) = -2*f**3 + f**2 + f - 1. Let i(k) = -k - 9. Let x be i(-5). Let s be (-48)\/x*2\/8. What is s*a(y) + 3*b(y)?\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17)\/(a**(2\/55)*a))\/(a\/a**(-4\/7))**(-14) assuming a is positive.\nAnswer: a**(218\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 (base 10) in base 5?\nAnswer: -2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 270, 403?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Suppose -s + z*s + 1 = 0. What are the prime factors of 18\/(-2)*(0 + s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 8*q**2 + 7*q + 17. Let b(m) = m**3 - 7*m**2 + 7*m + 18. Let p(f) = 3*b(f) - 4*t(f). Calculate the remainder when 31 is divided by p(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 48383 = -3*r, 5*v + 4*r - 120975 = 0. Suppose v = 9*w - 2*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 302, 5, 11 in decreasing order.\nAnswer: 302, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14873, 14871, 14869, 14867?\nAnswer: 14865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.966955 minutes to hours.\nAnswer: 0.19944925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*h = 196 + 6893, 0 = l + h - 7077. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424975.\nAnswer: 5, 89, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v - 6891 + 3*v**2 - 44*v - 12769.\nAnswer: 3*v**2 - 19660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32895051, 32895048, 32895045, 32895042, 32895039?\nAnswer: 32895036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17604, 35218, 52830, 70440, 88048, 105654, 123258?\n\"Answer: -v**2 + 17617*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 16*c**2 - 14*c + 55. Let o be r(-17). Let v = -156 - -158. Solve 5*u + o = -3*j - v, 2*u + 4*j - 6 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46303938 divided by -6\nAnswer: -7717323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.3. Let t = 0 + k. Suppose 6*p = 2*p + 8. Sort p, t, -0.5.\nAnswer: -0.5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4.2. Let f = -0.3 + g. What is the nearest to 0 in f, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/733 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-11) - (-819)\/(-429)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 212, 1270, 3032, 5498, 8668, 12542, 17120?\n\"Answer: 352*t**2 + 2*t - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) -13566 (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 15*p**2 - 47*p + 58. Let j be u(-14). Let i = -259 + j. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -26*p**3 - 17*p - 14. Suppose -3*u + 8 = -5*u. Let k be (-19 - -2)*(-3 - u). Let o(v) = -9*v**3 - 6*v - 5. Give k*o(f) + 6*w(f).\nAnswer: -3*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/(n\/(n**(-5)*n)))\/((n\/(n\/(n**(1\/12)\/n)))\/n**(6\/7)))**(-11) assuming n is positive.\nAnswer: n**(1133\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 9*u**2 + 9*u**2 + (-41*u**2 - 27*u**2 - 54*u**2)*((4*u + 0*u - 3*u)*(-1 - 1 + 0) - 3*u - 5*u + 5*u) as o*u**3 + x*u + t*u**2 + f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0 + (-4 + 1 + 2)*(-3 + 4 + 0))*(-2 + 2 + 6*l)*(-7*l - l - 8*l).\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 13*v + 14. Let x be b(-12). Let z(u) = u**2 - u + 4. Let w be z(3). Suppose -x*g = -g - w. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 18*w**3 - 146*w**2 - 546*w.\nAnswer: 2*w*(w - 7)*(w + 3)*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129672877.\nAnswer: 129672877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -95910381 divided by -13701483?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -3. Suppose 3*b = q - 14, 109*q = 108*q - 4*b - 14. Suppose -5*n + z = -q*n, -2*h - 2*n = -74. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*j - 85768 + 85744, 4 = j - 2*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -15*n + 12. Let k be q(4). Let l = k - -48. Suppose 11*m + 818 - 2710 = l. Calculate the remainder when m is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.14 in -0.2, 493, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/5)\/(h*(h*h**(1\/15)\/h)\/h)*h**2\/(h*h**(5\/2)) assuming h is positive.\nAnswer: h**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.019 + 0.049. Is h greater than -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199215937 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2557?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 e when three letters picked without replacement from iieiiiiiiiiei.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.7042ml to litres.\nAnswer: 0.2547042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (4 + -2 + (-20 - -11) + 10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -1057*p**6\/24 + 1999*p**5\/20 - p**3\/3 - 1088*p**2 - 4. Find the third derivative of t(q) wrt q.\nAnswer: -31710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234180090 divided by -90.\nAnswer: -2602001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3664 + -3663.978609. Round p to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4097\/540 + -1\/270. Calculate the common denominator of (-735)\/(-24)*4*2\/(-20) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(-12)*(10 - -1). Let k = c - -30. Let v be (-1)\/5*(-7 - -2). What is the nearest to v in -0.5, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 15*y**2 - 4*y + 6. Let z be b(-15). Suppose -z = -3*v - 2*i, 4*v + 7*i = 2*i + 95. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*s + 52*s - 9 = 5*l, 0 = 4*s + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 45 = 366. Is c a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d + 4. Let x be v(-5). Suppose k - 185 = -x*k. Factor 10*l**4 - k*l**4 - 21*l**5 + 0*l**3 - 2*l**3 - 4*l**3.\nAnswer: -3*l**3*(l + 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-50)\/(-15))\/((-650)\/(-468))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1728079 - -3733921. What is x rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006548253 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1 - 1 - 1 + 2 - 5*f + f**3 - 2*f**2. Calculate the remainder when 38 is divided by n(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*b**4 + 4*b**3*u + 300963*b**2*u + 683*b*u + 52265*b wrt b.\nAnswer: 144*b**2 + 24*b*u + 601926*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:42 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139*x**2 - 462*x**4 + 459*x**4 - 51*x**2 + (-1 + 3 - 4)*(-4 + 5 + 1)*(4*x**4 - x**4 - 4*x**4).\nAnswer: x**4 + 88*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 493, 986, 1479, 1972, 2465, 2958?\nAnswer: 3451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100, -183, -282, -409, -576, -795, -1078, -1437?\n\"Answer: -2*g**3 + 4*g**2 - 81*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/((r**(-3\/7)*r)\/r))**35\/((r\/((r*r**(1\/3))\/r)*r)**(4\/7)\/(r*(r\/(r*(r\/((r**(-4)\/r)\/r))\/r))\/r*(r**(2\/9)\/r)\/r)) assuming r is positive.\nAnswer: r**(-1810\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9010794 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 5:42 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 2. Let p = 1 + 2. Let v(t) = 0*t**2 - p - 3*t**2 + 0*t**2 - 4. Let x(u) = -14*n(u) - 4*v(u). Let a(k) = -5*k. Calculate a(x(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 43*u + 136. Let q be y(11). Let z = 608 - q. Is z != 5\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 520 and 25133280?\nAnswer: 326732640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15665889 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2050 - 1946 = i, x - 56 = 5*i for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -286187274.0898?\nAnswer: -286187271.0898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {p: 4, a: 2, y: 1, g: 1, t: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*v = v + 15, l + 10 = 3*v. Suppose 0 = 18*x - 112 - 410. Solve l*m + 4 = x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -356110.7563 to the nearest 1000.\nAnswer: -356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 0, -44 in ascending order.\nAnswer: -44, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.97 and -872.\nAnswer: -3461.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 + l + 1. Let n be i(-3). Suppose 4*x - n*x = 99. Let y be -1 + (-2 - x\/12). Which is the nearest to -0.1? (a) y (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89900051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - q + 8. Let u be z(0). Suppose -u*l - 1210 = 2*l. Calculate the least common multiple of 24 and l\/(-4) + 9\/(-36).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 5*q**2 - q - 4. Let g be u(-5). Let p(b) = 63*b**3 - b**2 + b - 1. Is 10 a factor of p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 - s**3 + 78*s**3.\nAnswer: 77*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4777 + 4776. What is the closest to n in 3, -1\/7, -2\/15?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 799589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111175776 a multiple of 2272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1635639*y - 975. Let s be m(-25). What is s rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/21 and 11\/42237?\nAnswer: 295659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17862 - 6327. Suppose -147*j - l = -150*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 - 43. Suppose 0*u + 23 = 2*p + u, p - 19 = u. What is the highest common factor of f and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 24*f**2 + 27*f - 92. Calculate h(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, 1, -14, 339, -0.5, -0.05?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1000?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(13\/10 - (-2)\/10). Sort -12, -2, l, 2\/3.\nAnswer: -12, -2, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*c + 205*c + 143*c)*(59*c**2 - 40*c**2 + 65*c**2) in the form w + u*c**2 + b*c**3 + z*c and give b.\nAnswer: 27384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 10*p + 5. Let s be b(-11). Let x be s\/(-9) - (-12)\/(-54). Let a be (-136)\/(-14) + x\/(-7). What is the highest common factor of a and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/55*(0 - -25). Let a = 35 - x. Let c(d) = -d**2 - 3*d + 3. Let z be c(-3). Solve -h = z*h + a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**(-4\/9) assuming f is positive.\nAnswer: f**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 - (-48 + -64 + 146).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 2\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0. Let o = -846 + 848. Find the common denominator of 14\/9 and 47\/(-30) + o\/(-6)*p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 13263.\nAnswer: -13263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143229.4s to milliseconds.\nAnswer: 143229400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3042*t - 48 = 3018*t. Solve 6 = t*u, 5*r = u - 2*u - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, 8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00256435 rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*q. Suppose 0 = -3*n + 4*u - 3*u + 11, n = -3*u - 3. Put -6, n, q in descending order.\nAnswer: n, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 980 and 202076.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 8*z + 8. Let v = 19 - 33. Let s(g) = -4*g**2 - 40*g + 40. Let u(q) = v*o(q) + 3*s(q). Solve u(h) = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/5 - 146*x**4 + 2174*x**3\/5 - 718*x**2\/5 - 2176*x\/5 + 1448\/5 = 0. What is x?\nAnswer: -1, 1, 2, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.4 + 28. Let s = -0.2200754 - -2.820089. Let b = s - f. Round b to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331847 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25380 is divided by 203.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615235 (base 9) in base 5?\nAnswer: -212134020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102212233 rounded to 4 dps?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-12)\/(-14))\/((-267)\/(-26789)) and 2.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -1, 17, 47, 89?\n\"Answer: 6*h**2 - 12*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 18 = 4*g - 3*l, 0 = 2*g + 5*l - 6. Let x(b) = -4*b + 8. Let s be x(0). Let p be (-1)\/(-2) - (-4)\/s - -24. Solve -3*y + p = -g*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 18 = k, -2*k + 2*s = -7*k + 54. Let h be 14 - ((-4)\/(16\/k))\/(-1). Sort 0, h, -5 in descending order.\nAnswer: h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n - 5*n**3 + n + 19*n + 8*n - 8*n + 10*n**2.\nAnswer: -5*n*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 2. Let k be y(0). Solve q - k*c = -1, -4*q - 4*c = -q + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + 124. Suppose w = 18*v - 70. Solve 4\/7 - 24\/7*t**2 - 12\/7*t**v + 0*t + 32\/7*t**3 = 0 for t.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/1817 and -101\/230.\nAnswer: 18170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 2, m: 2, l: 1, z: 1, o: 1}. What is prob of sequence zsm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**5\/20 + c**3\/6 + c**2\/2 + c + 2. Let w(a) be the first derivative of t(a). Calculate w(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -29*f - 252 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*d - 4 - 9, -d - 6 = 3*a. Is (2 + (a - 0))*194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:40 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2449*n + 129781. Determine k(-53).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, 21, 35?\n\"Answer: 14*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1299, 1307, 1315, 1323, 1331?\n\"Answer: 8*g + 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-3) - 1)*6. Suppose -p + 4*c + 17 = -0*p, 2*p - n*c = 18. Is 159\/p + 15 + -11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -5?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 16*h + 36. Let q be d(-18). Let t(c) = -9*c + 5 + 3*c**3 - 2 + 10*c**2 - 4*c**3. Let b be t(9). Solve -b*f + 6 + 6 = q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 14965114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(208) - sqrt(208))\/(sqrt(24)\/sqrt(6)*-1) - (-5 + ((sqrt(13) + sqrt(52)\/sqrt(4))*-5 - (sqrt(13) + 1)*3)*3)**2.\nAnswer: -19969 - 1096*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -5. Let g be ((-6)\/9)\/(o\/3). Let n(x) = -3*x**2 - x**2 + 3*x**2 + g*x**2. Let i(y) = 5*y**2. Determine i(n(r)).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 44*c = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from zfefdfeqefffegez.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 7*i - 60 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*u + z = 264*u - 233, -5*z - 580 = -5*u. What is the least common multiple of u and 37?\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211522045011 + -2?\nAnswer: 211522045005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -9*n - 24. Let t be (13068\/n)\/(-9)*2. Let i = -243 - t. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 - -106. Let j = 109.6 + o. Which is the nearest to 1? (a) j (b) -0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(19) + 0)*-1 - (-2*sqrt(1539) - (sqrt(19) + (sqrt(19) - (sqrt(171) + 2))))*-3)**2.\nAnswer: -1080*sqrt(19) + 38619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 9*z**2 + 2*z + 13. Let w(v) = 2*v**2 + v + 5. Let c be w(-2). Suppose x = 4*x - 6, 0 = -k + x - c. Give f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -291 - -566. Is j a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 4*h + 8. Let k be q(-6). Let s = -4 - k. Suppose 5*b + 5*a - 4 = -19, -b - 4*a - 12 = s. Solve -2*i + 10 = -b*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/11430 and 1\/111.\nAnswer: 422910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2061*f - 285224*f**2 + 2 - 285225*f**2 + 570450*f**2 - 2022*f**3 wrt f?\nAnswer: -12132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8099, 16112, 24079, 31976, 39779, 47464, 55007?\nAnswer: 62384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7229\/15 - -1048\/3. Let p be 3996\/30 + (-1)\/5. Let q = a + p. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115491 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j + 0*j)*(84 - 44 - 319) + j - j + j.\nAnswer: 280*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4)**33 assuming v is positive.\nAnswer: v**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-357)\/28)\/((5*(-6)\/(-10))\/8)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2640 and 660.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 6*g**2 + 7. Let a be b(-6). Let j(m) = -m**2 + 6*m + 3. Let l be j(a). Let t be (-2)\/l + 8\/16. Is -0.2 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163.7 - 159.7. Which is the third smallest value? (a) -164 (b) y (c) -1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + -0.39. Let t = 0.05 - o. Let d = 3.6 + t. What is the closest to 0.1 in 1, d, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 1. Let k be x(3). Differentiate -7 + 6 - z**k + 4*z**4 wrt z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*d - 34, c + 2*c = -d + 2. Let q = -4 + d. Find the second derivative of 2*w**5 + 2*w - 5*w**5 - q*w**5 + 4*w**5 wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k - 5. Let q(f) = f**2 - f - 1. Let z(s) = -a(s) + 5*q(s). Let h(t) = -t + 2*t + 4*t - 3*t. Give z(h(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 0)*(-r + 0*r - 6*r).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 20, 6, 0.02, 1\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = 0, 5*w + 4*h - 3*h - 11 = 0. Suppose w*t - 212 = -10. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/390 - 137*o**4\/78 - 18769*o**3\/39 - 304*o**2. Suppose c(q) = 0. What is q?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -38\/5. Let u = -2 - -1. Let s = u - 1. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 16*t**2 + 4*t**3 - 3*t + 36 - 24 - t**3. Is k(-16) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140629971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 257113, 514253, 771401, 1028563, 1285745, 1542953, 1800193, 2057471?\n\"Answer: t**3 - 2*t**2 + 257139*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157\/3 - 51. Which is the second biggest value? (a) n (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363981008?\nAnswer: 2, 293, 77641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 12675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8462, -7, 2\/7, -16\/3, 1\/4?\nAnswer: -8462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 - -112. Suppose -4 = 2*m - 4*f, 12 = n*m - 0*m + 3*f. Solve -3*p + m*p = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72833488 divided by 14.\nAnswer: -5202392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -8. What is the greatest common divisor of 112 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1007085046 by 454.\nAnswer: -2218249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -141, -12, 2, 4 in increasing order.\nAnswer: -141, -12, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 3)*(-4)\/12. Suppose 0 = -0*r - 2*r + 4. Suppose 3 = -k - 4*l, 3*k + 4*l = k + 2. What is the closest to q in r, k, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 13. Let h be (-24)\/d + (-52)\/2. Let v = h + 34. What is the fourth biggest value in -1\/2, v, 0.2, -0.01?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 7.1, 785 in decreasing order.\nAnswer: 785, 7.1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -22*u - 24. Let v(j) = -9*j - 10. Let h(m) = -5*c(m) + 12*v(m). Let s(q) = 15*q - 2. Determine h(s(p)).\nAnswer: 30*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - 5*u - 6. Determine r(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1492\/4425 + -17\/50. Find the common denominator of 10\/33 and s.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18))**(2\/35) assuming u is positive.\nAnswer: u**(-36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + 143*j**2 - 295*j + 10. What is m(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-15*38\/760)\/(0 - 1\/(-40))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a242 (base 11) to base 4\nAnswer: 3110132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9558 - -7583. What is k rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1424 divided by 2\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2319425 and 9\/70675.\nAnswer: 25513675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -9*r**4\/8 + 18*r**2. Let y(z) = 2*z**2. What is v(y(a))?\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**2 + 0 - h + 0*h**5 + 0*h**3 + 0*h**7 - 1\/56*h**8 - 1\/6*h**4 + 0*h**6. Find the third derivative of o(c) wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -o - 7*q + 3*q, -3*o + 33 = q. Suppose 4*w + 129 = 3*j, -j + 4*w + 23 + 12 = 0. What is the remainder when j is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-g + g - g) + (3 + 0 - 4)*(-2*g - 3 + 3).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 2*j - 2. Let q be n(2). Let r be (-1)\/((-11)\/(-6) + -2). Let m be (-15)\/r*4\/(-2). Which is the biggest value? (a) q (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2606*w**2 + 16*w - 17. Is f(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004665 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/14 and ((-2)\/136)\/(2\/388)?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*j**3 + 64*j**3 - 4*j**2 - 1061*j + 1059*j + 4*j**2.\nAnswer: 142*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 4*v - 2. Let p be y(4). Let s be 561\/p*(-9)\/(-12). Let t = -210 - s. Does 1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + g - 8, 0*g - g + 1 = -3*b. Suppose -b = -n - 11. What is the tens digit of 34*(n\/4)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i*o**2 - 603*i*o - 11*i + 72964*o**2 with respect to i.\nAnswer: 6*o**2 - 603*o - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10347 a factor of 1949515193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 3*f + 2, 0 = -4*c - f - 57 + 41 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 10*u**2 + 13*u + 8. Give f(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j + 7. What is v(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -403, -427, -489, -607, -799, -1083?\n\"Answer: -3*v**3 - v**2 - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 57\/133 + 132\/84. Solve -9*u - 11 = -6*u + m*x, x = 3*u + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {f: 5, i: 4, z: 1, u: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-1512)\/2268).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v. Suppose -3*c + 7*c + 8 = v, n + 2*c = -1. Solve b - 2*t + 2 = -n, 0 = -t + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 2*m**2 - 2*m - 4. Let h be a(-2). Let r be -1353 + h - (9 + -12). Round r to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204056509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 take away 29.1864?\nAnswer: -161.1864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 16. Let f = i + 39. Solve 0 = 2*q - f, -2*v - 3*q + 2 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179273936*u**3 - 3*u**2 + 18436*u + 1929?\nAnswer: -1075643616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.2 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17170 + -17160. Solve -7*i + l*i = -18 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13626434 - 2*m**3 + 27252797 - 13626363.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/8 at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (13\/(-65) - (-4988)\/2255). Let s = z + -2\/55. Is s at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*g**4 - g**4 - g**4)*(4 - 4 + 1) + 2*g**4 + 0*g + 0*g - g**4 + 2*g**2 - 2*g**2)*(-2*g + 9*g - 2*g) + g**5 + 2*g**5 + 3*g**5.\nAnswer: 21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388125.597 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605) + (sqrt(605) - (sqrt(605)*2 - sqrt(605))) + sqrt(605))\/sqrt(11))\/((sqrt(10)*-1)\/sqrt(2))*-4.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 - (-9432)\/10. Suppose 0 = 3*m - n - 1079, -2*m + 2*n + i = 221. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -10\/19, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4159224 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 4 + -9 + 3 + 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * -0.4553.\nAnswer: -0.50083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1957 and -398.\nAnswer: -778886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 362, 353, 326, 275, 194, 77?\n\"Answer: -q**3 - 3*q**2 + 7*q + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133 - -262. List the prime factors of a.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -0.05 (b) 19 (c) 1.3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24174 months in millennia?\nAnswer: 0.000020145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from tnatt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from tawwaiiaawtwajaaaw.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 + (28\/(-7))\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 3\/2*m**3 + 3\/8*m**4 + 1\/60*m**5 + 0 + 0*m - 3*m**2. What is n(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3))**(-5\/6)\/(i\/(i\/(i\/(i*i**(3\/5)))))**12 assuming i is positive.\nAnswer: i**(97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -6. Solve z - k = -3*m - 5, 5 = -5*m + 5*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i = 11*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:13 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v = -4, -5*v + 20 = 5*s. Suppose 259 = -k + s*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 59450*h + 713401. Give f(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484620 times 0.5?\nAnswer: 1242310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*d*l**3*x - 3*d*l**2*x**2 - 607*d + 2*l**3 + 11*x**2 with respect to x.\nAnswer: 10*d*l**3 - 6*d*l**2*x + 22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 6*q**2 - 4 + 2 + 2.\nAnswer: 6*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzhn. Give prob of picking 1 h and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Let k(y) be the third derivative of 0*y + 0*y**3 + 0 + 1\/6*y**4 - y**2. What is v(k(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -16 - 0. Suppose -2*z + 17 = 13. Suppose 0 = -6*o + 4 + z. Solve s*q + 2*b = -5 + o, 4*q = 2*b - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3667805 to the nearest integer?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - d + (2*d + d - d)*(-2 + 1 + 0) + (-1 + 1 + 1)*(0 + d + 0) + 102 - 102 - 13*d + 2*d - 4*d - 5*d)*(0*d**3 - 2*d**3 + d**3).\nAnswer: 22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 0*t - 2)*(-3*t - 2*t - 2*t) + (-7 + 10 + 14)*(-2*t**2 + t**2 + 4*t**2).\nAnswer: 58*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14405 and 29885?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12\/222 + 52\/(-962)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x - 102 = 0. Let p be (15\/(-10))\/((-12)\/x) - -4. Which is smaller: -10\/3 or p?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*-1)\/(-2)*3. Let z(k) = k**2 + o*k + 1 + 4 - 7*k. List the prime factors of z(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 428 (b) 0 (c) -2 (d) 0.82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c**2 + 5*c**2 + 7*c**2. Let r(x) = -12*x**2 + 17. Suppose 3*z - 17 = -119. Let u(l) = 2*l**2 - 3. Let i(v) = z*u(v) - 6*r(v). Give q(i(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/(-47)*931\/49?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 952*h**2*o**2 - 36713*h**2*o + 2*h*o**2 + 15*h*o - 15*h + 2*o**2 + 5*o - 23 wrt h.\nAnswer: 1904*o**2 - 73426*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -1) + (73 - 68). Let j = 6 - 6. Solve j = -6*z + 3*z + r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 20*a - 2690. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8348873, -16697743, -25046613, -33395483, -41744353, -50093223?\n\"Answer: -8348870*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - (0 + -4)) + 3. Suppose -9*x - y = -20*x. Suppose -7*g - 2 + x = 0. Solve -4*a + 15 = -5*u, -9 = -g*u + 3*u - 4*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 44506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/608 and 250\/190 + (-3 - 1)\/2?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5137838 to the nearest integer?\nAnswer: 2267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/((2\/(-80))\/1). Let d = x - 301. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 37*x + 182. What is u(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68961736 is divided by 1046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1336698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -34. Let d be 4\/(y\/(-10)*2). Solve d*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j + 8*j - 109*j**2 + 2 + 134*j**2 as l + i*j**2 + k*j and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v**5 + 26435*v**4 + 39625*v**3 - 13225*v**2 - 39635*v - 13210 = 0.\nAnswer: -2642, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 658.\nAnswer: 3\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 - 141. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*x**3 + 0 + 1 - 132*x**3 + (-x - x + 5*x)*(2*x**2 - x**2 - 2*x**2) to r*x**2 + o + w*x**3 + i*x and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.1 take away 13?\nAnswer: 24.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*k + 39 = 2*m - 4*k, -3*m + 103 = -2*k + 72 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/4 + 221*c**4\/4 - 632*c**3 + 1401*c**2 + 2088*c = 0. What is c?\nAnswer: -232, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 15. Is q(9) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4422 is divided by 461.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 729*p*v**3 + 96334*p*v + p - 40938664 wrt v?\nAnswer: 2187*p*v**2 + 96334*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-y**3 + 4*y**3 - 6*y**3) + (0*y**2 + y**2 - 3*y**2)*(y + 9*y + 4*y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-82248)\/17880)\/(2\/20)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 3)*(2 - 2 + 2*l) - 2*l - 2*l + 3*l + (3 - 5 - 1)*(-l - 7 - 10 + 7))*(2 - 2*l - 2)*(2 - 1 + 1) to the form t*l**2 + u + h*l and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, g: 13}. What is prob of picking 2 r and 1 g?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/11 and 27\/631.\nAnswer: 6941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 5)*(2 + (-18)\/8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4949982.5063 + 0.02?\nAnswer: -4949982.4863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 46 = -h. Let g = -16 + h. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -144*u - 2. Let q(z) = -278*z - 4. What is -4*q(s) + 9*r(s)?\nAnswer: -184*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1948*l = 1949*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 44934*k + 2 - 22439*k - 22511*k - 27*k**2 + k**4 as n*k**4 + o*k**2 + d*k + i*k**3 + m and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11994 is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 743, -920, -3715, -7660, -12773?\nAnswer: -19072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n. Let l(x) be the second derivative of -7*x**3\/6 + 5*x**2\/2 - 19*x. Give l(u(m)).\nAnswer: -14*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509 = -6*h + 7075. Suppose -b = -4, -13*o - h = -18*o - b. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-5 - 1))*10\/6. Find the common denominator of (2563\/(-352))\/(c\/4) - -4 and 31\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 54*d + 1. Calculate m(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = -8. Suppose v*p - 3*l = 57, 69 = 2*p - 2*l + 15. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 5371328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4421*k**3*q + 67*k**2*q + 7*k*q - 496*k + q + 328 wrt k?\nAnswer: 26526*k*q + 134*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 694566*v**2 + 3*v**3 + 694566*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008767565 to 4 dps.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6948 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazzazaaaaaaaazwzzz. What is prob of sequence aw?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7071457, 14142902, 21214329, 28285738, 35357129?\nAnswer: 42428502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64795923 - -33995923. Round r to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3056 + 3049. Let b = -19\/2 - -10. Sort h, 1, 0.1, b in descending order.\nAnswer: 1, b, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 23*g**2 - 25*g - 64. Let p be s(-22). What is the second smallest value in -3, -0.033, p?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110925 - -2509.\nAnswer: -108416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10208 divided by -22\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 7*d + 8*d + d - 27*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13.5 in 5, -2, -22, 4, 21, -1\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-2 - 1*(-1 + sqrt(11)))**2.\nAnswer: -22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (-4*sqrt(2)*-2 + sqrt(2))) + sqrt(2) + sqrt(2) + sqrt(8)\/(sqrt(8)\/sqrt(2)))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*g**2 - 264316*g**6 + 264695*g**6 + 193*g**2 wrt g?\nAnswer: 45480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/42)\/(4\/(-6)). Let v be (4*4\/16)\/(1\/(-3)). What is the closest to -0.2 in -4, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 269 + -140. Let m = b - 120. Suppose -2*l - 18 = -4*l. Calculate the highest common factor of m and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = k + 391, 0 = k + 2. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -797 divided by 67?\nAnswer: -797\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4122.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/5? (a) 10 (b) 2\/45 (c) 1\/8 (d) -2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*k - 73*k - 69*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amp when three letters picked without replacement from {m: 4, p: 1, a: 6, d: 3, i: 1, j: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f**3 + 4*f + 2*f**3)*(-3 + 2 + 3)*(-4 + 2 + 3) + 6 - 6 - f**3.\nAnswer: 3*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(125)*-3)**2 + (-6*sqrt(45))**2*4.\nAnswer: 30*sqrt(5) + 7606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26236303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 406148.4g in micrograms?\nAnswer: 406148400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -4349\nAnswer: 13\/4349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 8. Let w be n(6). Solve -w = -3*u - 2*q, -q = -u + 6*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/70*(-7)\/(-8))\/((-43)\/(-172)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45993814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000087 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/15 + 4*a**2. Factor m(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(504)\/sqrt(8))\/((sqrt(9) - (-3*sqrt(324) - sqrt(324))) + sqrt(9)).\nAnswer: -3*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745244 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*n**3 + 157*n**3 + 4*n**3.\nAnswer: 297*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29477*w + 29472*w - 5 = 6*v, 0 = 3*v - 4*w - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11*h + 2 + 3*h - 8*h - 12*h + 4*h. Determine j(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 - 2*v**2 - 3*v**2)*(13 - 13 - 1040*v - 537*v) to the form u*v + n*v**2 + m*v**3 + d and give m.\nAnswer: 3154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038391 to 4 decimal places.\nAnswer: -0.0384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5243099299 to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**15\/l**(-2\/53))**(1\/31))**(-1) assuming l is positive.\nAnswer: l**(-797\/1643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - ((64 - 63) + 0 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + 1872\/(-169) + (-4188108)\/(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022787 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a tonne in kilograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12*w**2 - w. Let s(f) = f**2. Let l(z) = -z**3 - 19*z**2 - 23*z - 89. Let k be l(-18). What is k*x(d) - 5*s(d)?\nAnswer: 7*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = -y, -y + 12 = -5*y - 4*i. Let t(r) = 4*r. Let j be t(1). Suppose 0*q = j*q. Which is the nearest to q? (a) -1 (b) y (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + (-2*sqrt(153) + 5)**2 + 3.\nAnswer: -60*sqrt(17) + 643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**3 + o**2 - 4. Let u be b(-2). Which is bigger: u or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15030 + 15030 - 168*f)*(5 + 7 - 1 - 4).\nAnswer: -1176*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 7*k + 42. What is the remainder when z(0) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24098 = -3*l - 127*m + 131*m, 12 = 3*m. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -739, -738, -737, -736, -735, -734?\n\"Answer: j - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/25)*f\/(f**(1\/34)\/f) assuming f is positive.\nAnswer: f**(1743\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - 0\/(-6). Let g be (63\/(-98))\/((-4)\/12). Let m = g + -53\/42. What is the second biggest value in 0, 5, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1921*i + 11493. What is v(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80327201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8409 is divided by 250.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 7:02 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -27*n - 2. Suppose -34 - 10 = -4*y. Let w = y + -14. Is i(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*p**2 + 122*p**2 - 60*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*y + 4*y + 3*y**2)*(-6*y + y + 3*y) + 2*y - 2*y - y**3)*(91 + 30 + 65).\nAnswer: -1302*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 1:31 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9124 or -9123?\nAnswer: -9123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1432 = 19*z - 6016. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -34 + -3 + 0 - (476 - 479)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 195608 + 103948 = 0. Let j = -524889 + y. What is j rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-33)\/44)*1\/(-7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304 and 79520\/350 - (-12)\/15?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - d - 2*d)*(d - d + d**2) + (d + 3*d + 0*d)*(0*d**2 + 2*d**2 - 7*d**2))*(2*d + 2*d - 3*d)*(26 - 1 + 11).\nAnswer: -792*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Put -7.752, -1, 2\/13 in descending order.\nAnswer: 2\/13, -1, -7.752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-484)\/(-16))\/(-121)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 1696.\nAnswer: 55968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -71\/3935?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*j + 30, 6*z - 2*z - 35 = -3*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-20) - 3*6\/10. Let y be 1*(-1 + (-8)\/g). Solve -2*p + 0*f + 2*f = -8, y*p = 2*f + 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -1522600 in increasing order.\nAnswer: -1522600, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*c + 664, 4*b = c - 2*c - 1342. Let r = -49 - b. List the prime factors of r.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -79*i - 290. What is the nearest to 2 in -13, -1, i, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570 divided by 89?\nAnswer: 4570\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/2 of a year?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**8\/1512 - 2*g**7\/945 + g**5\/135 - g**4\/108 + 7*g**2. What is t in c(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 856744 - 77014 = -21*a. What is a rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 5*q**2 - 2*q**2)*(7*q - 27*q - 14*q).\nAnswer: 34*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (86\/5)\/(8\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59777991?\nAnswer: 3, 7, 13, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53.353 and 0.29?\nAnswer: 15.47237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*y - 6 + 9 = -0*c, 0 = -2*y. Let u be (-1 - 1)*6\/(-4). Solve 0 = -c*n - u + 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153503005 (base 6) in base 3?\nAnswer: 20010120020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 160928.453 + -160935.65300124. Let f = -7.709 + 0.509. Let x = f - i. What is x rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17c5a (base 13) to base 3\nAnswer: -2100011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - 2*(-18)\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3596\/(-930) - (-1 + 17\/15). Let d be g\/(-10)*(32 + -22). Solve d*w = 2*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**3 - 24*l**2 - 748*l. Let s(x) = -14*x**3 - 68*x**2 - 2242*x. Calculate -17*c(q) + 6*s(q).\nAnswer: q**3 - 736*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (2 - 4)*-1. Let c = -323 + 323. Suppose l - 1 = c, 0*z - 5*l = -5*z. Is f > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 809 divide 307410292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 29*u + 132. Let d be v(-41). Suppose -154*m = -152*m - 78. Calculate the greatest common factor of m and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 21*h**2 + 19*h - 11. What is the remainder when 29 is divided by v(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.483 times -10168\nAnswer: 15079.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3078\/(-108)*16\/8*1\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -3*r - 13, -2*r = 2*d - 20910 + 20916 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/11)\/(4\/(-22))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1159725 by 698.\nAnswer: 1159725\/698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13166 + 4107787\/312. Let w = 4607\/312 + g. Find the common denominator of w and 13\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -6 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 245*p - 12154. Determine d(69).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r**3 + 0*r)*(8*r - 8*r - 4*r**2).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10128 * 2.615.\nAnswer: -26484.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2062732940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3202116332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-10))\/(1\/5). Suppose 2 = d + q. Let a be (-1)\/(-2*(-4)\/8) - 2. Does a = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 115*l - 54. Give j(57).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5430*v**3 + 9920*v**2 + 43*v**5 + 320*v**4 - 84*v**5 - 4805*v + 18*v**5 + 18*v**5 = 0.\nAnswer: 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620308 is divided by 23828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-2 + (-2 - 4) + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 152*k**3\/5 + 6856*k**2 + 52046*k\/5 + 17472\/5 = 0. What is k?\nAnswer: -224, -39\/38, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 63374.31um?\nAnswer: 0.06337431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 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 x(v) be the second derivative of 43*v + 0*v**4 + 0*v**3 + 0 + 1\/189*v**7 + 2\/135*v**6 + 0*v**2 - 4\/45*v**5. What is a in x(a) = 0?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 10. Let x be (z\/(-14) - -3) + 551\/7. Let b = x + -57. What is the remainder when 84 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 22*u**2. Let c(h) = -h**2. What is a(c(y))?\nAnswer: 22*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 10*g - 110. Suppose 0 = g*x + 18843 + 46705. Round x to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 7 - (-2 - 4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/60 - u**4\/6 + u**3\/6 + u**2. Suppose -2 = -4*s + 22. Calculate q(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7128 divided by 7128\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 6*d**2 - 2*d + 876. What is j(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b + 4. Let w(o) = -3*o + 2. Let x(k) = 3*k**2 + 7*k + 5. Let t be x(-3). Suppose q + 3*s + t = 0, 18*q - 4*s + 55 = 13*q. What is q*w(l) + 6*v(l)?\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1\/15 (b) -10 (c) -0.7 (d) 0 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8972 + -8904. What is the remainder when 4416 is divided by b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:22 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.12544 rounded to 2 decimal places?\nAnswer: -94.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101021 (base 3) in base 8?\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + 1*2*sqrt(5103) + sqrt(5103))**2*1*-4.\nAnswer: -183712 - 648*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150325 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180475208 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**(7\/3))\/u))**(-1\/32)\/(u**(1\/3))**(2\/27) assuming u is positive.\nAnswer: u**(-167\/1296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -26*m**3 + 14*m**2 - 17*m. Let u(b) be the second derivative of 9*b**5\/20 - 5*b**4\/12 + b**3 + 117*b + 2. Let x = -1 + 7. Determine x*s(k) + 17*u(k).\nAnswer: -3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j - 12. Calculate l(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -786, 1, -344, -1, -2, 3.\nAnswer: -786, -344, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*m + 8 = 0, -f - 2*m = 3 - 5. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - 1*1*sqrt(136))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 1\/7, 8, 0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/9 or 3\/395?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h - 5*q + 2080 = 0, -4*q + 20 = 0. Suppose 5*w - h = -0*w. What are the prime factors of w?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 6 - -9 - 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 1:21 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91280496?\nAnswer: 2, 3, 113, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**3 + h**2 - 3*h - 4. Let n be x(3). Suppose -b = -4*k - 50, -123 = 3*b - 6*b + 3*k. Calculate the highest common divisor of n and b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 65 + 13*g + 93*g**2 - 46*g**2 - 74 - 45*g**2 - g**3. What is b(6)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -336*f**2 + 5*f**6 - 5*f**4 + 267*f**2 - 1258*f**2 wrt f?\nAnswer: 600*f**3 - 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 + 2 = 0. Suppose o*z = 3*z + 13. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2138*k - 2132*k = -14334. Do k and -2389 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(-3)\/12)\/(-2 + 1). Suppose -4*c - 5*d = 31, c + d = -11 + 4. Let o(i) = -4*i. Let r be o(c). Solve t + 6*l - r = 2*l, u = t + l - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 2024147\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 4, r: 6, e: 10}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89254\/3 + -724961\/24. Let g = 444 + k. Calculate the common denominator of g and -55\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17\/22 (b) 4 (c) 0.4 (d) -1416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -6 in decreasing order.\nAnswer: 2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 68. Let g be b(13). Let l(t) = -13*t + 2. Let n be l(3). Let w = n - g. What is w rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/15 (b) -3 (c) -0.03 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -127 (b) 37 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.2 - 11.8. Which is the third smallest value? (a) o (b) 0.1 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 11*o**2 - 16*o + 58. Calculate the smallest common multiple of l(-9) and 52.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6858457*b**2 + 25154723*b**2 + 15165330*b**2.\nAnswer: 33461596*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f + 2. Let y(a) be the second derivative of -28*a**3\/3 + 11*a**2 - 26*a - 11. Calculate 68*c(l) - 6*y(l).\nAnswer: -4*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3578.\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2 - 6*i - 20. What are the prime factors of l(8)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5627 is divided by 1123.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 206723856 - -1986?\nAnswer: 206725842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(3*d**4 + d**4 - 2*d**4) - 3*d**4 + 2*d**4 + 3*d**4 + d**4 + 7*d**4 + 0*d**4 - d**4 + 2*d**4 - 3*d**4.\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lblblscbccb. Give prob of sequence lcb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.623 take away 0.025?\nAnswer: -2.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-8)\/24)\/((-5)\/(-7))*10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - g**2 - 1. Let y(n) = 44*n**3 + 4*n**2 + 4. What is 4*r(h) + y(h)?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**2 + 4*w. Let y(j) = -j**2 - 10*j - 7. Let c be y(-6). Let m(t) = 343*t + 343*t - 675*t + 20*t**2. Let d(s) = c*q(s) - 6*m(s). What is d(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58, -79, -136, -247, -430, -703?\n\"Answer: -3*z**3 - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10969 divided by -4?\nAnswer: -10969\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -172, -251662 in increasing order.\nAnswer: -251662, -172, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 14*h**2 - h + 20. What is the units digit of s(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) -1.92 (b) 2\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -1 - (-6 + (13 - 7)) - (-14 - -3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1. Let o(q) = 5*q + 4. Let t(z) = -3*z**2 + 2*z + 14. Let y be t(-2). Calculate y*o(x) + 6*l(x).\nAnswer: -10*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - -0.3. Is 1\/5 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w - 22*w - 36 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j + 2. Give y(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 d when three letters picked without replacement from {z: 4, u: 5, d: 2, f: 8}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2 - 11*g**3 - 2*g**2 + 1 + 13*g**3 + 4*g**2. What are the prime factors of c(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2120664 to the nearest 10000.\nAnswer: -2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 2 - ((-13 - 0) + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9089 - -2.9089. Let r = -11 - -18. Let x(g) = g**2 - 5*g - 10. Let i be x(r). Which is the nearest to 0? (a) 3 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 6*x**2 + 4*x - 39. Let q be t(-4). Let v(f) = -11*f. Let c be v(2). Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o = 29*o + 150. What is the highest common factor of 560 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859328 is divided by 6930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/20)\/(((-16)\/(-8))\/(-8)))\/(-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1103334 + -11?\nAnswer: -1103400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*z**4 - 57*z**4 - 2*z + 5*z - 1 - 55*z**3 + 53*z**3 as w*z**4 + q + y*z**3 + a*z + c*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -34, -34, -18, 20, 86?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12842, 25683, 38526, 51371, 64218, 77067?\nAnswer: 89918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y + 2. Let w be j(-4). Suppose 0 = -5*p + 9 + w. Solve 4*c = -u - 1, -3*u + 0*c - p = 3*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.054 times -311734\nAnswer: -16833.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w - 1. Let n(b) = 21*b - 44. Let h(d) = 2*n(d) + 4*x(d). What is h(30)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101010101100110 - 100?\nAnswer: -111101010101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 1. Let j(b) = b**4 + b**2 + 4*b - 4. Suppose 0*p - 1 = p. Let x(v) = p*j(v) - 4*y(v). What is the third derivative of x(g) wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 769500 and 361908.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3 + 348*a**2 - 8926*a + 8580 = 0. What is a?\nAnswer: 1, 30, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -378*s**2 + 188*s**2 + 187*s**2. Suppose -l + 5*l - 16 = 0. Let y(o) = 6*o + l*o**2 - 6*o. Determine y(q(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -461553.629 to the nearest 1000.\nAnswer: -462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205.363 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -368, -757, -1146, -1535, -1924?\n\"Answer: -389*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1693 - 1371?\nAnswer: -2a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(33792\/27)*8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2 - 11*x + 1. Let m(d) = -7*d**2 + 14*d - 1. Let h be (58\/(-145) - (-6)\/(-10))*5. Let a(p) = h*m(p) - 6*i(p). Determine a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 86 = 64. Suppose 0*s = -6*s - b. Suppose 5*p = n - 16, -p = -0 + 3. Put -2, s, n in descending order.\nAnswer: n, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/7 - 4*h**4\/7 - 4*h**3\/7 + 8*h**2\/7 + 2*h\/7 - 4\/7 = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/78*(-16)\/(-40)*-3*(-40)\/(-39).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 26. Suppose -4*l - 2 = 2*v, u - 1 = -5*l + 3*v. Let g(p) = -p**2 - p + 1. Calculate g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -5 (b) 5 (c) -20 (d) 114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Suppose -2*q + 5*g = -3*q + 18, g = 2. Suppose -q = -0*x - 4*x. Solve 2*m + 4*s = 2, x*m + m - 2 = -t*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 3\/3)*25688\/(-190). Suppose -3*u + g + v = 0, -3*u + 507 = 5*g - 163. What is the highest common factor of 30 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 459 + -139. Let z = 336 - j. Solve 3*d = 7*d - z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o - 1. Let p(m) be the first derivative of 13 + 1\/2*m**2 + 0*m. What is a(p(z))?\nAnswer: -13*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1072, -4, 2, -734, -2, 1, 4 in ascending order.\nAnswer: -1072, -734, -4, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*y**4 - 38*y**4 + 197*y**4 + (-1 + 1 + 1)*(y**4 + y**4 - 7*y**4) - 1 + 1 + 4*y**4 to the form r*y**2 + f*y**3 + u*y + s + g*y**4 and give g.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2430 and 1065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91789393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.14 (b) 4 (c) -5 (d) -0.3 (e) 1447\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -88, -229, -354, -457, -532, -573, -574, -529?\n\"Answer: j**3 + 2*j**2 - 154*j + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -420649, -420650, -420651, -420652?\nAnswer: -420653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4784*o**3 - 477 with respect to o.\nAnswer: -14352*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/5 (c) -4 (d) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 - 226.5. Let t = -104\/3 - -34. Which is the closest to -1? (a) t (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 7\/2*j**2 - 3 + 0*j. Let k(p) be the first derivative of -2*p**3\/3 + 88. Determine v(k(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1485, 1481, 1467, 1437, 1385, 1305, 1191?\n\"Answer: -u**3 + u**2 + 1485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, c: 5, b: 3, e: 3, j: 2}. What is prob of picking 1 b, 1 c, and 1 e?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 = -6, 0 = -5*m - 5*p + 20. Suppose 4*w + 9 = -m, -130 = -y + 3*w. What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(-2)*(-20)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)\/g)**(3\/25)\/(g**5\/g*g\/(g**4\/g)) assuming g is positive.\nAnswer: g**(-51\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndz when three letters picked without replacement from ddzizmzzzzngzdzg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*x + 13 - 40, 15 = 5*z - x. Solve 0 = 2*m + m - 4*p + 15, 3*p - 7 = -z*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 12*p - 4. Let g be r(3). Suppose 3*h + 16 = 28. What is the greatest common factor of g and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 1 - 2*o - 1. Let j be d(2). Suppose 4*p - 28 - 24 = j. Calculate the remainder when 37 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = 3*d + 2*c, 2*d + 5*c - 83 - 64 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 267*u**2. Let b(k) = 266*k**2. Let t(r) = -5*b(r) + 4*s(r). Let f(g) = -103*g + 222*g - 118*g. Calculate t(f(l)).\nAnswer: -262*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2. Let m(p) = -1. Let n(y) = 3*m(y) + z(y). Let l(s) = 2*s - 5. Let q(r) = -l(r) + 2*n(r). Calculate q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 2\/15 (b) 0.11 (c) 0.0652 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*((-36)\/(-4) - 2). Let t = c + -1. Let k be t\/2 - 42\/(-6). Solve -x + 3*v = -k - 7, 0 = -3*v - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -765373 and -0.56.\nAnswer: -765373.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 6:03 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 - -165. Suppose -3*c + r*s - 21 = 0, -10*s + 2 = 2*c - 6*s. Which is greater: c or -10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4.7. Let b = -42 + 33. Let t = b + 11. What is the nearest to -0.1 in u, t, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19047482.1 rounded to the nearest 1000?\nAnswer: 19047000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2273 + -2271. Let q be 7 - (1\/(-1) + 3). What is the common denominator of -103\/40 and i + q\/(-60)*-9?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(480\/93) + (-18)\/(-45). Which is the second smallest value? (a) -1\/5 (b) v (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 4*p - 275 = 13*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56801 rounded to two dps?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 18\/461, 1\/2, -0.3.\nAnswer: -0.3, 18\/461, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4611 = 3*t, 7326 + 379 = 5*t - 5*l. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)**(1\/17))**(-1\/30) assuming b is positive.\nAnswer: b**(-2\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-125))\/((-5 - -9 - -2)\/(-40)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/4 + ((-732)\/(-48))\/1. Let b be 15\/20 - (-20)\/t. Let a(r) = -12*r + 2. Determine a(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -70927947?\nAnswer: 70927946.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637807347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 220566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 51963147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -8\/4889, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 + -4.96. Let g = 0.06 + p. Let n(q) = -3*q**2 - 15*q + 253. Let v be n(-12). Which is the closest to -7? (a) v (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2093097880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2 + 103857*n - 415380 = 0.\nAnswer: 4, 34615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20446 + -449899\/22. Suppose 2*c + 29 = v, -2*c + 1 + 3 = 0. Calculate the common denominator of g and (3 + (-21)\/18)*v\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, l: 7}. Give prob of picking 3 l and 1 d.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y + 4263 = 52*y. Suppose -4*x + 2*w - 4*w = -3820, -5*x + w + 4789 = 0. Calculate the greatest common divisor of y and x.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3487899, 3488018, 3488137, 3488256, 3488375, 3488494?\n\"Answer: 119*p + 3487780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4569 is divided by 134?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022110 - 2222?\nAnswer: 1012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + o + 8 = 0, -3 + 11 = -4*m - 4*o. Suppose r - m*r = -24. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -105.48098 and 0.21001?\nAnswer: 105.69099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**3 + 7*s**2 + 13*s - 47. Let o(h) = -h**3 - 2*h**2 - 4*h + 16. Let n(r) = -17*o(r) - 6*w(r). Let p be n(-6). Sort 9, p, 4, 5 in increasing order.\nAnswer: p, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 469 and 479 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13780494 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 1316*u**3 + 1318*u**3 + 8*u)*(81*u + 25*u - 399*u).\nAnswer: -586*u**4 - 1465*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*r**2 - 3*r + 128*r**2 + 4*r**3 + r**4 - 251*r**2 + 0*r**4 to the form m*r + h*r**4 + j + b*r**3 + c*r**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 3*c + 44. Is h(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*y + 161*y + 2210*y**2 - 471*y + 147*y + 6*y**2.\nAnswer: 2216*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -6*w + 180, 47*w - 50*w + h + 90 = 0. Calculate the remainder when 1229 is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5090 + 391922\/77. Let z = t + 2\/7. Factor 2\/11*k**3 + 0 + 0*k**2 + 0*k - z*k**5 + 0*k**4.\nAnswer: -2*k**3*(k - 1)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 6*j**2 - 4*j + 3. Let l be 19*(3 + (-20)\/2). Let f = l - -193. Let x be (0 + f\/6)\/2. Calculate t(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3594 and 48\/7.\nAnswer: 25158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6018884mm?\nAnswer: 601.8884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*b + 3*m, 1 = -0*m - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26666950 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 193 = -6*a + 3*a, 4*a = 3*p + 259. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -71, 7, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 20 = 0, 4332*j = 4330*j + 4*q + 8 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7 + 28 + 5*m**2 - 11 - 9. Suppose -2*u - 3*d - 13 = 0, 5*u - d - 2 - 8 = 0. Calculate f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 5. Let j(z) = 2*z + 4. Let v be (-2)\/(3\/((-15)\/2)). Suppose -2*l - l + 12 = 0. Calculate l*d(s) + v*j(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -287?\nAnswer: -28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:00 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -8*a + 8*p, a - 9 + 46 - 11 = -2*p for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 j when four letters picked without replacement from gjrrtghttrghgjgggrrg?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*((-5)\/(-2))\/(-1). Let n(s) be the second derivative of s**5\/20 - s**4 + 7*s**3\/3 + s**2 - 698*s. Let p be n(x). Which is smaller: p or -57?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*f - 352. What is the third biggest value in -3, 3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 2*r - 10, -y - 3*r = -3*y + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {b: 3, o: 1, x: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -77*t + 4685. Calculate w(55).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) + (-64)\/(-24). Suppose l*a = 2*c - 2, 0 = -a - 2 + 1. Solve c = d + 1 + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 3*i**2 - 19*i + 1. Suppose -8*p - 6*p - 126 = 7*p - 189. Calculate f(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73060262 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 4*w + 283388 = -4*v, -v = 5*w - 70831. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - -35 - (-19 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30345 divided by -119.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3580 divided by 716.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 5. Let t = 3 + n. Let s = -92 - -92. Put s, 4, t in increasing order.\nAnswer: t, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4358 is divided by 866.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, y: 3, n: 2}. Give prob of sequence nynr.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 15942*k - 7819. Is o(53) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 50*s**2 + 288*s + 28512.\nAnswer: -(s - 22)*(s + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*f - 20. Suppose -2*i = -3*g - 727, -4*i + f*g = -6*i + 733. Suppose 4*b = -4*o - 37 + i, 0 = 2*b + 10. List the prime factors of o.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/7*3\/((-18)\/57). Solve -4*y = d - 11, q = -2*d - d + y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - (6 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 12. Let g be l\/4 + (-1)\/4. Suppose -15 = -9*o + 14*o. Put o, g, 3 in decreasing order.\nAnswer: 3, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by (88\/(-6))\/(6\/(-9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*-1*sqrt(605) + 5 + 2).\nAnswer: -330*sqrt(5) - 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 15 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 256 = -64. Solve -3*g + 11 = -5*m, -g + 2*m + n + 1 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 1785*y**3 + 4*y - 1789*y**3.\nAnswer: -4*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188.2 + -188. What is the second smallest value in -1, 0, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*((-8)\/5)\/(-2). Suppose 2*b - c = -0. Solve b*s + 3 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/3)\/(4\/74940*10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -36, 0 = -3*y - 1823016*b + 1822992*b + 294 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/141628734 and -125\/54?\nAnswer: 424886202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 616800 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -741559 to the nearest 10000.\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3667 - -3669. Factor 10\/3*s + 0 - 2\/3*s**t.\nAnswer: -2*s*(s - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b - 3*b)*(-1 - 3 + 0 + (1 + 2 - 5)*(1 + 1 + 0) - 1 - 1 + 4 - 3 - 3 - 40).\nAnswer: 104*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + 67. Let c = 161 - l. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 3 (b) 0.4 (c) 0.05 (d) -506\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-12))\/(9\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128799, 128793, 128789, 128787, 128787, 128789?\nAnswer: 128793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6*w = -10. Suppose w*n - 3*m - 162 = 0, -5*m + 70 = -n + 4*n. Solve v - 5*y = 6*v + n, -5*v - 3*y - 22 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -12, -11, -2, 21, 64, 133, 234?\n\"Answer: t**3 - 5*t**2 + 7*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*t - 21, -15 - 16 = -5*i + t. Let v(o) = -o + 6. Let b be v(i). Let w = 1\/33 - -127\/165. Which is smaller: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6 + 11*t - 12 - 5. Let a(s) = -4*s + 8. Suppose -134*l + 40 = -139*l. Calculate l*a(r) - 3*p(r).\nAnswer: -r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6, -4*s + 262 = 24*z - 23*z. Suppose 3*k - 5*y + 93 = 7*k, 0 = -3*k - 5*y + 76. Calculate the remainder when s is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*q - 6*q + 4*u + 41 + 11, -35 - 15 = 5*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*m + 128*m + 124*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58.605 and -0.5.\nAnswer: 29.3025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + r + 4. Let z be w(0). Let f(d) = d**3 + 11*d**2 + d + 15. Let c be f(-11). Are z and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 19*b**2 + b - 20. Let q be g(19). Let a be (q\/(-8))\/((-15)\/2 - -8). Let o = -187\/2 - -94. Sort o, -0.3, a, -5.\nAnswer: -5, -0.3, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.2 * 0.3\nAnswer: -6.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 1. Let l be f(3). What is the closest to -2 in l, -3\/4, 1\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 100383592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 23, 24, 0, -1, 20 in descending order.\nAnswer: 24, 23, 20, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 4515.\nAnswer: 13545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 1:09 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -253045 > -252231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from xduxxuvxuxthxxtx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6)\/(h*h**(-2)*h))\/(h**(3\/4)\/h*h*h**(10\/9)) assuming h is positive.\nAnswer: h**(-73\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (78432\/(-4816))\/((108\/56)\/9)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33122 (base 6) to base 5\nAnswer: -121321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c**3 + 4*c**2 - 2*c - 7. Let k be (-392)\/490 - (-98)\/10. Let i(w) = 13*w**3 - 9*w**2 + 4*w + 14. Determine k*b(u) + 4*i(u).\nAnswer: -2*u**3 - 2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(-3 + sqrt(7)*-1*5)**2 - (3 + (sqrt(252) + sqrt(252)*-2)*-3)).\nAnswer: -1104 - 198*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r = 6*r + 5*r - 290. Solve 90 = r*d + 70 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-40 - -47)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from kxlgd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 150\/(-18)*(1 + -4). Let k(h) = h**3 - 6*h**2 + 5*h + 4. Let r be k(5). Suppose 0 = r*c + b - 89. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.48 + -0.48. Let p = -1.2 + 2.2. Which is the biggest value? (a) v (b) -5 (c) -2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l**2 - 4. Let x be w(4). Suppose 7*m + 4*a = 2*m + x, 8 = 4*a. Let g be 1 - (-3*1 - 0). Solve -m*k = -0*n + 4*n + 4, g*n = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/(-12)*(-36)\/14. Suppose 44 = 4*t + 2*f, -t + f = 2*f - u. Let w(b) = -8*b. Let s be w(-10). What is the highest common factor of t and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*s + 1)*(1 + 5 - 4) + (s + s + 0*s)*(-1 - 1 + 0) + 57*s - 2*s + 129*s + 0*s + 3*s - 2*s as u*s + a and give u.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.074 - 1.104. What is the smallest value in a, 0.084, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94 and 4508428?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 4:37 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 36792.\nAnswer: 14716.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 256.99?\nAnswer: -257.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1. Let f(w) = -w - 2. Let t(d) = 6*a(d) - f(d). Let g be t(4). Solve g*i - 5 = -5*o - 2*i, -3*i + 4 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnndnnnnnnnn. Give prob of sequence dn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1772 - -1765. What is the nearest to t in -5, 0.4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 6*g**2 + 2. Let n be p(6). What is the second derivative of f - 3*f**4 - f - n*f wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + 135\/(-25))*5\/(-6)*180. What is the highest common factor of y and 11835?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -707044, -706976, -706908, -706840, -706772, -706704?\nAnswer: -706636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609 + 613 = 2*n. What is the remainder when (9\/n)\/(102\/1632) is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -651256.0215438 plus 0.3?\nAnswer: -651255.7215438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*h + 17*h**3 + 118*h)*((1 + 0 - 3)*(0 - h + 0) + 2 + 3*h - 2).\nAnswer: 85*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 433880 and 6.\nAnswer: 1301640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1067795.\nAnswer: 5, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*m**3 + 106*m**3 + 35*m**4 + (4*m**2 - 2*m**2 + 2*m**2)*(3*m**2 - 18*m**2 + 0*m**2))*(m - 2 + 2).\nAnswer: -25*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/9))**2\/(p**(2\/19)*p*p\/p**(-4)) assuming p is positive.\nAnswer: p**(-892\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 567, 848, 1129?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1445442, -1445414, -1445386?\n\"Answer: 28*h - 1445470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2\/9 - 1220635*t\/9 - 1220632\/3 = 0?\nAnswer: -1220632, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 10*m - 19. Give p(-14).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q - 88. Suppose q*w = 18*w + 120. Calculate the smallest common multiple of w and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1033*v + 18. Give q(-1).\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-27 + (-5)\/5 + -3. What is the second smallest value in -3, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/70 + (-22)\/10. Let b be (k - -1) + 5 + 30\/(-5). Let j = 9 + -15. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134004 (base 6) to base 2.\nAnswer: 11000011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzllzzzzlzzzlzzzzzl.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*h - 1568 = -179*h. What is the remainder when h is divided by 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586928?\nAnswer: 2, 36683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1290000 and 25\/391128.\nAnswer: 488910000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0967845 rounded to 4 decimal places?\nAnswer: -0.0968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/31, 0.13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.75 + -0.597042?\nAnswer: 31.152958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - (-3 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2835057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p**5\/3 + 80*p**4\/3 - 38*p**3\/3 - 80*p**2\/3 + 8*p = 0. Calculate p.\nAnswer: -6, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t + 3. Let l(p) = 5*p. Let f be l(-1). Let u be f\/(-15) + (8\/6)\/(-1). Which is the smallest value? (a) 3\/7 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159959 = -57*j - 160301. Suppose -2*o = -4*c + 6, -4*c - 4*o + 10 = -14. Suppose 7 = y - 0*y - a, 1 = c*y + 2*a. Sort j, 2, y in decreasing order.\nAnswer: y, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1173*q - 2285*q = -1233*q - 6776 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hto when three letters picked without replacement from jhrhroajrtjhjhr.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2504 and 188488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*b - 65 = 0, -5 = -3*x - 4*b + 58. Let w = 49 - x. 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: Solve -60*z - 62*z + 34*z = -11*z + 1617 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.696 - -0.706. Let x be 0 + 2 + (-5)\/4. Put x, v, -3 in descending order.\nAnswer: x, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*(m\/(m\/(m**2\/m*m)))\/m*m*m*m)\/m**(3\/7))\/(m*(m\/(m\/m**(-6)*m))\/m*m**(-1\/6)\/m))\/((m\/(m\/(m**(-2\/17)*m)))\/m**(-2\/9))**(-1\/55) assuming m is positive.\nAnswer: m**(1620851\/117810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 2*c**2 - 3*c**2)*(-c + 0*c - c)*(-19 + 12 - 20) + 3*c**2 - 3*c**2 + c**3.\nAnswer: -53*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2a9 (base 14) to base 3\nAnswer: 202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/30 + p**5\/12 + 5*p**4\/24 + p**3\/2 - 5*p**2. Let q(z) = z**3 + z**2 + z + 1. Give -a(k) + 5*q(k).\nAnswer: k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*u + 2*p + 10 = 0, 3*u - 3 = -3*p. Let a(d) = 2*d - 3. Let x(l) = l - 2. Give u*x(y) - 3*a(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)\/(f\/f**(-15)))**(6\/11))**50 assuming f is positive.\nAnswer: f**(-5400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*n - 13, 13 = 3*n - 8*b + 7*b. Suppose 3*r - 30 = -3*v, 5*r + 12 = n*v + 2*r. Solve -3*p = -v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060376?\nAnswer: 2, 132547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28612, 114476, 257582, 457930, 715520, 1030352?\n\"Answer: 28621*z**2 + z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 1\/8, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2 - 4416*y - 419585. What is q(-999)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 6*a**2 + 7*a + 5. Is w(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a + 2 - 7 - 15*a**3 + 4 + 14*a as t*a**3 + z*a**2 + y*a + m and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-12)*(-6)\/4. Let w(o) = -o**3 - 4*o**2 + 3*o + 1. Let m(r) = -2*r**3 - 4*r**2 + 2*r + 2. Let h(x) = -2*m(x) + 3*w(x). What is h(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2*l**2 + l + 7. Suppose -17*k + 21*k = 0. Let u be n(k). What is the highest common divisor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*r - 3*x + 104, -2*r + 5*x = 52. Suppose 5*f - 2 - 18 = u, -2*u - 2*f = 40. Which is greater: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.69772 minutes to seconds.\nAnswer: 2681.8632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1460 + -726. List the prime factors of z.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 95\/20 - (-12 + 0)\/(-4). Suppose -5*g + 19 = -3*n - 0*g, 3*g = -3*n + 21. Factor 4*q**3 + d*q**4 + 2*q**n - 4 + 1\/4*q**5 - 4*q.\nAnswer: (q - 1)*(q + 2)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2343 is divided by 221?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -587 + 585. Which is the closest to -11? (a) 5 (b) -0.7 (c) 0.1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p + 30 + 2*p - 34 + p**2. Suppose 3*v + 35 = -2*v - 4*u, 0 = -4*v - 3*u - 28. Let c be h(v). Solve -4*y = -f - 11, 10 = f - 0*f + c*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 51. Let k = 29 - r. Suppose 3*g - k = g. Solve 0 = -g*o - 4 - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2394 + -1645. Calculate the highest common factor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1400442\nAnswer: -1\/700221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7454.147ms to microseconds.\nAnswer: 7454147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 2*r. Let f(z) = -4*z. What is j(f(m))?\nAnswer: -32*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 3*l - 8*l + 309 = 7*q - 43*q + 9*l, -9 = 2*q + 3*l for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**5\/120 - 9*q**3 - 38. Let b(c) be the third derivative of j(c). What is b(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(3087) + sqrt(3087))\/(sqrt(144)*2 + sqrt(144) - sqrt(144)) + 5.\nAnswer: 21*sqrt(7)\/8 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -12, -26, -46, -72?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/14)\/(7 - (-329)\/(-49)). Suppose 0 = t*j - 4*b - 12, -8*b + 9*b + 18 = 4*j. What is the remainder when 13 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plpuuulupppluluppu. Give prob of picking 3 l.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) -3\/5 (c) -1.6 (d) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxipnpp. What is prob of picking 1 q, 1 n, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05482737 rounded to 4 dps?\nAnswer: -0.0548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (25 - 22)*((-264)\/36 + 7\/1). Let f = 6 + -4. Let l = f - -1. Which is the fourth biggest value? (a) o (b) 4 (c) l (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -5. Let y be 82\/369 - (-17)\/(-36). What is the nearest to 1 in -0.2, y, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31\/3 - 13. Let n be (5\/(-10))\/((-1)\/12). What is the common denominator of n\/(-42) + (-944)\/(-42) and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10497 - 25774 = 708*x + 2669 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 40*n - 20*n - 50. Sort n, -2, 2, -3, 7.\nAnswer: -3, -2, 2, 7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + 207. What are the prime factors of h?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + r**2 - r - 1. Let k(h) = 14*h**3 + 21*h**2 - 21*h - 21. Suppose 0 = -5*d - o + 3, -3*d - 5*o = 11 - 4. Calculate d*k(u) - 21*b(u).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 1\/6*v**4 + 0*v**5 - v - 1\/15*v**6 + 0*v**3 + 0 + 0*v**2. Find the third derivative of m(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by -2364894.\nAnswer: 113\/2364894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 251*a + 2006. Calculate n(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172530024.\nAnswer: 2, 7, 38795179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**42)*w)\/(w\/w**(-4\/9)))\/(w**16)**(2\/15) assuming w is positive.\nAnswer: w**(1774\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3542262474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 4434*z**2 + 1654896*z + 19225440.\nAnswer: 3*(z + 12)*(z + 676)*(z + 790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 320?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 87078, 87123, 87168, 87213, 87258, 87303?\n\"Answer: 45*o + 87033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11da + 313c7?\nAnswer: 301cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 167089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*i - 1)*(-5 + 3 + 1) - 5*i - i + 3*i + 4*i - 2 + 0*i - 5*i - 5*i + 3*i + 3*i.\nAnswer: -5*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1*d\/(d\/((d*d*d\/(d**(-6)*d)*d)\/d))*d assuming d is positive.\nAnswer: d**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let s(c) = -515*c. Give y(s(o)).\nAnswer: 515*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 42934900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 22 = 3*v + 10, -4*v = 5*w + 3. Let q(b) = -v*b**2 + b**2 + 4*b**2. Let h(m) = -2649*m**2 - 2667*m**2 + 5321*m**2. Give h(q(o)).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 14, a: 4}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-4\/7)\/o)*o*o**(2\/5)\/o*(o*o\/o**(2\/11))\/(o\/(o*(o\/o**(-6))\/o*o)) assuming o is positive.\nAnswer: o**(4539\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 44634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 14 = p. Suppose 10*f - p*f = -3. Let w(t) = -t**3 + 5*t**2 - 3*t - 4. Let j be w(3). Put j, -3, f in descending order.\nAnswer: j, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20140\/1367 - 144041985\/30074. Let o = g + 4803. What is the common denominator of o and -9\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19151320 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 25*l + 24.\nAnswer: (l - 24)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:34 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104576 is divided by 20590?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 53312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 + -3 + 36\/6 + -2. Solve 12*v = 15*v - l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzrhzrzjrbhjhirhzzbb. Give prob of sequence ibz.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 7*m + 10. What is p(4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*y + 99, 2*k + 23 = -4*y + 125. Solve -11*z - 31 = y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3 - g + g**3 + 0*g - 4*g**2 + 0*g + 4*g. Let i be p(3). Let -14*t**i + 3*t**3 + 3*t**2 + 14*t**3 - 6*t = 0. What is t?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 n when three letters picked without replacement from pqnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2200 and 31\/1413720?\nAnswer: 7068600","meta":{"dup_signals":{},"source":"numbers__lcm_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: 19 divided by -69\nAnswer: -19\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 3\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 5*j - 1. Suppose -2 = -2*i - 4*z, -4*i + 5*z + 49 - 19 = 0. Let a be y(i). List the prime factors of (18 - -3)\/1 + a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.721 less than -0.020624?\nAnswer: -8.741624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2547, -5083, -7605, -10107, -12583?\n\"Answer: c**3 + c**2 - 2546*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 11*n**3 + 7. Let j(p) = -p**2. What is q(j(t))?\nAnswer: 33*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53699?\nAnswer: 53699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -137.\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - m**2 + 2 + 0 + 3*m**3 + 2 as s + r*m + x*m**3 + p*m**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 90 and 54947\/613 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -38180*x**3 - 4*x**2 - 38186*x**3 + 76368*x**3 - 9*x + 4. What is i(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130 a factor of 341260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -4407 in decreasing order.\nAnswer: 3, 1, -4407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 15 = -3*c - 0, -3*v - 9 = -5*c. Suppose d + c*d = -d. Solve 2*a - 5*b - 23 = d, a - 19 = -0*b + 5*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/24)\/(345\/184))\/1?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -79458, -79457, -79456, -79455, -79454, -79453?\n\"Answer: r - 79459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 8 + -2 + 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/(2*2\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158080 + -1106558\/7. Factor -4\/7 - v*l**2 - 6\/7*l.\nAnswer: -2*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 5608 = -26040. Suppose -12*r = -o - 4238. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 6*p**2 + 12*p - 18. Calculate k(-5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59986008 by 112968.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -3. Let q = -15 + m. Solve 0 = -h + 3, 0 = -4*b - q*h - 2 - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 342, 0, -510?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3.5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3))**(-35\/3) assuming d is positive.\nAnswer: d**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39847\/7 + -2068159\/364. Let y = -9\/52 + p. Calculate the common denominator of -17\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2590010 is divided by 872.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8517 + -5.1483. Which is the third smallest value? (a) 4.2 (b) 0.1 (c) -0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -544509 divided by 242.\nAnswer: -544509\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3205055 microseconds in nanoseconds?\nAnswer: 320.5055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/17? (a) 3\/23 (b) -0.8 (c) -5 (d) 0.4 (e) -0.1 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96151201?\nAnswer: 17, 23, 245911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -2701 = -10801\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 10*x**2 - 12*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b**2 - 6*b. Let d be q(5). Let w(g) = -g**2 + 22*g. Let t be w(d). Suppose -m - t = -5*f, 4*f - 3*m + 8*m = 32. Which is bigger: f or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 903, 898, 891, 882, 871, 858?\n\"Answer: -z**2 - 2*z + 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-30))\/(-2))\/(24\/(-16))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -20*q - 2 - 49\/12*q**4 - 91\/6*q**3 + 0*q**2. Find the second derivative of j(p) wrt p.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*u + 2402*c**2 + 5*c*u - 5503*c wrt c.\nAnswer: -6*u + 4804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*d**2 + 5*d + d - 28*d**2 as x*d**2 + p*d + i and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 449365123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1979*m**2 - 296852*m - 285. Determine y(-150).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/21 + (-2522)\/(-7). Suppose x = f - 5*f. What is f rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-33)*((-27)\/66)\/(-1)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 1, 8, 31, 76, 149, 256, 403?\n\"Answer: f**3 - f**2 - 7*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 12*c = 2*n, 5*n + 21 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 14) to base 15\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 5. Suppose -5*v = -i - k - 8, -i = 4*v - 12. Find the second derivative of d - 2*d + d**4 - 2*d**v wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1102\/7163)\/(0 + 3).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 17. Let a be f(-7). Suppose -29*u = -24*u - a. Find the third derivative of -40*y**2 + u*y**2 + y**6 - 3*y**6 + 4*y**6 wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -324078 and -324036 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 6)*(3 - 4 + 3)*(0 + 6*n + 0 + (1 - 3 + 3)*(-2*n + 2*n - 3*n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 2\/23, -10, -0.8?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548 by 4.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 583?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7800357.\nAnswer: 3, 2600119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 23*y + 295. Let s be v(-13). Let j(i) = 3*i + 13. Determine j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*z = 7, -4*y + 11*z = 14*z + 1. Solve 14 = -4*m - r, 0*m - r = -y*m - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 41441636 = -5*b - 31848359, 0 = -2*p - 2*b + 48860002. Round p to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1432\/(-179))\/((-1)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 435, -3, 2, -66 in descending order.\nAnswer: 435, 2, -3, -14, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 40, 0.11, 1.6 in descending order.\nAnswer: 40, 1.6, 0.11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -17.5\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2784 and -33\/119248.\nAnswer: 715488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*1 + sqrt(288))**2 - sqrt(18).\nAnswer: -3*sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 2, s: 1, m: 4, f: 2}. What is prob of picking 3 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81354 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167 and 105477.46796?\nAnswer: 105310.46796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2 = 10. Suppose -d*r + 8*r = 180. Calculate the greatest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*y + 13 = 0, 2*h + 7 = -3*y + 4*y. Let z be (-9)\/3 + h + 7. Let u(n) = -6*n**3 + 1. Calculate u(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -0.496 (c) 0.35 (d) -1 (e) 1\/2 (f) -5 (g) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w = -22*w - 100 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1444378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1235.4?\nAnswer: 1235.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/421528566 and 139\/1140.\nAnswer: 4215285660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + 3*t**2 - t**2)*(12*t + 3*t + 6*t) - 2*t**3 + t - t + 0*t**3 + 4*t**3 - t**3 to d*t + q + m*t**2 + j*t**3 and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + 36*i - 126. What is the remainder when z(13) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -5. Let t(i) = 3*i - 14603*i**2 - 40*i**3 + 14603*i**2 + 4*i - 9*i + 41*i**3. Calculate t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*r - 2*t, -4*t + 5 = 2*r + r. Let u(v) = 12*v**2 - 4*v + 2. Let g be u(r). Suppose -2*j - 43 = -z, -2*z + g = -2*j + j. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - 1165) + -7 - -1*2. Let a = -999 - -2808. Let d = t + a. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 22.05 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 40*x**2 - 3*x + 28. Calculate the common denominator of j(20) and -23\/3436.\nAnswer: 3436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76623246 divided by -42?\nAnswer: 1824363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 237713889 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -308067 less than 235534?\nAnswer: 543601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 445287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 4800*y**2 - 4795*y.\nAnswer: -5*y*(y + 1)*(y + 959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1212 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.36265 + -1463\nAnswer: -1463.36265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*3*9\/(270\/(-460))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)*k**(2\/25)\/k)**9 assuming k is positive.\nAnswer: k**(-1674\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 0.0284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/18 - 2)\/((-6)\/(-3)). Solve -44*o + 47*o + 18 = l for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 + 3904924.95?\nAnswer: 3904922.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 5\/4, 2, -0.06 in increasing order.\nAnswer: -3, -0.06, 5\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q + 7*q - 9*q as n + c*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-16) - (-5)\/(-52). Which is the smallest value? (a) -2\/5 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/5 + 51442*u**4\/5 + 21323724*u**3\/5 - 64279804*u**2\/5 + 64382678*u\/5 - 21478038\/5 = 0.\nAnswer: -411, 1, 26129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/135 and -35\/243.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (14\/9)\/((-1870)\/(-8415))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 59*x + 4. Let i be g(0). What is n in 12\/5*n**3 + 16\/5*n**2 + 4\/5 + 6\/5*n**5 - 4*n**i - 18\/5*n = 0?\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2632691.0329 - 2632498. Let b = y - 193. Round b to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.918 + -0.2493187?\nAnswer: 211.6686813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 250 = -5*v, -3*i + 366 = 11*v - 8*v. Let u be 31\/2 + (-1)\/2. What is the highest common divisor of i and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 506 + -506.00000338. What is o rounded to seven decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 6:22 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)*j*j)\/j*(j\/(j*j**0))\/j*j**(-3\/4)\/(j*j**(2\/23)))\/((((((j*j**(1\/2))\/j)\/j)\/j)\/j)**(-2\/11))**(3\/17) assuming j is positive.\nAnswer: j**(-282493\/120428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3404705 (base 13) to base 6.\nAnswer: -1330224555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22953158 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26100)\/(-120)*(-4)\/(-10) + (-2)\/2. Solve -98*u - 60 = -i*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 135?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) - (-399)\/9. Let c be (-1)\/(-3)*p\/3. Let q be (-15)\/(-60)*(-10 + 6\/21*49). Solve -i + q = -c*m + 6, -m - i = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3)\/(10\/(-90)). What is the first derivative of -m + 2*a + 4 - 7*a wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -504069 > -503676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + w**3 + 47*w**2 + 46*w**2.\nAnswer: w**3 + 93*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*q + 2*x + 96, 3*q + x - 88 = 0. Suppose -2*a + 110 = -q. Suppose -a = k - 187. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 103*m - 41156. Determine l(160).\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.0386, -115, -8, 1, 2\/15 in decreasing order.\nAnswer: 4, 1, 2\/15, -0.0386, -8, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 81. Which is the closest to 0.1? (a) o (b) 3\/4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2 - (-36)\/24. Suppose g - 50 - 62 = y. Suppose 3*l + 16 = g. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19279 + 19284. Suppose w - 1 = -0*w. Let b(d) = -6*d - 4. Let t be b(-1). Solve -m - w = -t*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0161 plus 326291?\nAnswer: 326291.0161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**2\/2 - 4*o - 2. Let a be t(-9). Let l be a\/10*(1 - 3). Do -1\/3 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*y + 7*y - 15, 4*x = -5*y - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 7.16992.\nAnswer: 2.867968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*k + 89 + 37. Suppose 0 = -4*a - 4, 5*n + a - 115 + 11 = 0. What is the highest common divisor of k and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)\/(i*(i**(5\/6)*i)\/i))\/(i\/(i**(-17)*i)*i**(-2\/29)*i) assuming i is positive.\nAnswer: i**(-10433\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 19. What is v(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 552\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1175871 divided by 391957\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 82 = 4*t + 5*h, 5*h = 0. Let s = 35 + t. Solve -1 - 4 = s*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -383 in decreasing order.\nAnswer: -2, -3, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2233*l - 15640 = 1893*l for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = m - 3, 0*m - 9 = -4*i - m. What is the greatest common factor of 24 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.57182 and -1126534?\nAnswer: 1126530.42818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4301 divided by 1.\nAnswer: 4301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1291*d**3*o**2 + 8*d**2*o**2 + 5*d**2 + 2*d*o**2 wrt d?\nAnswer: 7746*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b62 - 2?\nAnswer: 1b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, 1 k, and 1 g when four letters picked without replacement from sshmmkrmhhhmrshsghh?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -8 + 3. Which is smaller: -2\/19 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from amzmror.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s + 1. Suppose 0 = -b - h + 2*h + 9, 3*h - 5 = -5*b. Suppose b*x + 1 = -3. Let g be ((-1)\/3*-3)\/x. Determine w(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 72 = -3*f - 3*m, 76 = 5*f + 4*m. Let z be ((-4)\/(-6) - f\/18)\/2. Which is greater: z or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 428357544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150510 and 3605?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w + 1 - 11 + w**2 + 10.\nAnswer: w**2 + 29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -4*i - 3*p, -i + 3*p = 0. Let u = -4 + 8. Suppose -2*o = 3*j - 24, -o - 37 = -u*o - 5*j. Solve 7*w - 4*w + o = i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414062 and 1652?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1111 - 0?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 303 + 7. Suppose -5*d = -g + 7. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112013292, -224026586, -336039880?\n\"Answer: -112013294*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 8064*n = 8062*n + 44, -2*r - 2*n - 12 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -366?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 2885376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9286*s**2 + 54*s - 109. What is the ten thousands digit of b(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -327998*c + 327786*c - 25 + 5 to k*c + f and give k.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbbbbbfbbbbbfbf?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55345, -442764, -1494317, -3542068, -6918081, -11954420, -18983149, -28336332?\n\"Answer: -55344*c**3 - 3*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*1)\/(390\/4). Let u be 20\/45 + 396\/(-891). Is z at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290390?\nAnswer: 2, 5, 71, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 43. Suppose 576 = g*m + 120. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 282\/2339 or 4\/51?\nAnswer: 282\/2339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 6366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 2*w - 3. Let s = 343 + -644. Calculate the common denominator of j(-2) and (-3)\/(-18) + s\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 - 76*g - 480 = 0.\nAnswer: -5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387468942.\nAnswer: 2, 73, 953, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 15600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + -93. Let y(w) be the third derivative of -w**5\/60 + w**4\/3 + w**3\/2 + 4*w**2. Let k be y(8). Solve -23 = s*u + 2*j + 3*j, -2*j - 7 = k*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 + 1 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**2 + 8*o**2 - 11*o**2 + 16*o**2 + 9072*o**3.\nAnswer: 9072*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 3*j - 5*j + 8*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 87 - 33 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - 28*a**3 - 3*a**2 + 26*a**3 + 3*a**2 + a**2 to z + c*a**2 + i*a + w*a**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -452, -1039, -1864, -2927, -4228, -5767?\nAnswer: -7544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -9.9. Let d = j - 0.3. Which is the biggest value? (a) -0.1 (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2607833 is divided by 128.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 5*c**2 + 8*c - 7. Let m be u(6). Suppose v + v + f = 11, m*v = -5*f + 35. Solve -v*a = a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 6387 and 6386 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -8130.9?\nAnswer: 8131.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 7800*t**2 + 4056000*t - 703040000.\nAnswer: 5*(t - 520)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-211227)\/(-9) + (-2)\/3. Suppose 2*k = -k - f. Let l = k + 17823. What is l rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-4))\/(-2) - -41. Suppose -4*v + r = 13. Let m(q) = -q**2 + 8*q + 3. List the prime factors of m(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 564*s - 2240.\nAnswer: -(s + 4)*(s + 560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 28 = -o. Find the second derivative of 20*s**o - 33*s**2 + 26 + 2*s + 67*s**2 wrt s.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/147 + 29\/(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*s - 2300 = 336*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 0*m**2 + 1\/6*m**3 + 0*m**5 + 0*m**6 - 6*m + 0 + 0*m**4 - 2\/21*m**7. Find the second derivative of c(h) wrt h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/147*((-54)\/4)\/(6\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 86.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o - b - 508 = 0, -b - 1 = 0. Which is smaller: o or -502?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.55734 meters in millimeters?\nAnswer: 63557.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -5*r + 20*r**3 + 17*r - 6*r**2 - 18*r**3. What is the first derivative of f(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2\/3*l**3 + 0*l + 0*l**2 - 6 + 3\/4*l**4. Find the third derivative of a(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 8 = 0, -2*f + 19 = 5*w - 35. Suppose 2 = -q, f = 2*d + d - q. Calculate the greatest common divisor of d and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (20 - 2) + -13 + 10 - 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*g**4 - 3*g**3 - 173*g**2.\nAnswer: -240*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from wolobwloowoobwobh.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366\/5*o**4 - 522\/5 + 3*o**5 - 1926\/5*o**3 + 2172\/5*o**2 - 21*o = 0. What is o?\nAnswer: -29, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/(-12)*(-80)\/14. Suppose -5*y + 5*c = -35, 0 = c - 5*c - o. Let v = 25 + -15. Calculate the least common multiple of v and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-186)\/(-155)*((-9)\/(-4) + -1). What is the second biggest value in -12, -0.5, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0 (c) 7\/43 (d) 0.02 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -19*u - 90 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 2441*z**8\/336 + 7*z**5\/30 + 2*z**4\/3 + z**2 - 25*z. What is the third derivative of f(a) wrt a?\nAnswer: 146460*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4021?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*l**3 - 1 + (-4*l**2 + 2*l - 2*l)*(3*l + l - 3*l) to the form b*l**2 + d*l**3 + a + j*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 940 = -5*w, 378 = 3*w + 3*s - 183. Suppose 21*x + 160 = 25*x + 4*t, w = 5*x + 3*t. What is the remainder when 49 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -4 (b) -10 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*o**2 - 106*o**2 + 3 - 4 - 2 to q*o + u + x*o**2 and give x.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.007666 + 25.356666. What is y rounded to 0 decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7453, -7451, -7449, -7447, -7445?\n\"Answer: 2*f - 7455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*z - 10 = -34, 2*h + 5*z + 12 = 0. Find the third derivative of 6*g**h + 4*g - 5*g**2 - 4*g + g**2 wrt g.\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 23*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -36.8. Let d = u - 35.8. Is -13 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05036 + -233.94964. Which is smaller: x or 0.05?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1140749065 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*x - 6, 4*u + 0*u = -5*x - 8. Let b be (-1 - -3)*(3 + -1). Suppose -2*h**2 + 2 - b*h + 4*h**3 + x*h - h + h**3 = 0. Calculate h.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492 minus 1938.02?\nAnswer: -3430.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 808*w - 951. What are the prime factors of v(5)?\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.039998 + -0.04. What is v rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 85. Let z = -37 - d. Solve -5*f - 2*c - 14 = 0, 0 = -z*f + 3*c + 2*c + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.653234 kilograms to micrograms.\nAnswer: 7653234000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 8.7 (c) 0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 1 - 3883\/187?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29309 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1627908 and 62?\nAnswer: 50465148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-108)\/(-80))\/(-3))\/((-6)\/(-16)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5782*b**2*s*z + 428*b**2*z - s*z + 160*s + z - 8885 wrt b.\nAnswer: 11564*b*s*z + 856*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**4\/12 + 2*q**2 + 7*q. Let b(t) = -29*t**2 - 1. Calculate v(b(d)).\nAnswer: 58*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88442 by -6.\nAnswer: -44221\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2101 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbmmmmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 108600 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 242 + -249 + (0 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/25)\/d**(-32) assuming d is positive.\nAnswer: d**(796\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/(-8)*(1 - -1). Suppose -y = 2*r - 3*r. What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -15a?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 4, 1\/3, 2, 2\/2347, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/13 - (-12)\/78. Solve f*r - 6*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 969680 and 118358.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11366 + -11364. Which is the fifth smallest value? (a) -1\/2 (b) 543 (c) 1\/3 (d) u (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 2*x + 6*x - 39*x**3 + 12 + 40*x**3. Let a be l(-5). Let o(m) = 3*m + 11. Determine o(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-4))\/3*0\/(-1969))\/(15\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13701041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -4. Let m = s - 0. Let k(o) = -2*o + 6*o - 3*o + m. Let p(n) = 6*n + 4. Determine -4*k(c) + p(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -43, -61, -95, -151?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 44*p**2 - 10*p - 20. Let v(r) = -65*r**2 + 16*r + 32. Let x(f) = -8*h(f) - 5*v(f). Let a(t) = -5*t + t + 0*t. What is a(x(k))?\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/686345 and 9\/110.\nAnswer: 1372690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:38 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 1, p: 1, o: 1, l: 1}. What is prob of sequence klkh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -6 - -2406) + (4 - 1). Suppose m - 13*m = -c. 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 the value of 1188\/264*(2\/3)\/(5\/(-15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a milligram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 3. Let r be 1 - -3*y\/(-12). Find the third derivative of -4*c**6 + r*c**2 + 3*c**5 - 3*c**5 wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1240)\/(-31)*4\/(-30)*-3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220233 (base 4) to base 5.\nAnswer: 40412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:29 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 3*d**2 + 10*d - 27. Let n be k(5). Is -303\/2 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = -5*d. Let y = 39 - 36. Suppose -5 = -j, -y*a + d*a - 3*j = -102. What is the remainder when 112 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770 < 2771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 129923006 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 475 divided by 95\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, 10, 59?\n\"Answer: 49*u - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*n, -2*n + 2*b - 3*b - 7 = 0. Let g be n\/(-3) - 35\/(-21). What is the second derivative of 2*u**2 - u**g - 6*u + u**2 + u**2 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 224. Let w(b) = -b**3 + b + 77. Let l be w(0). Let x = l - j. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 871721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5826, 11158, 16500, 21858, 27238, 32646, 38088?\n\"Answer: x**3 - x**2 + 5328*x + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14590977 divided by 4863659.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -981916430 to the nearest one million.\nAnswer: -982000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -521 in 18, 0, 0.8, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -68\/5 - 6*u + 2\/5*u**2 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-12 + 1 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - -764421) + -2 + (7 - 6) + 7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 5, 27, -4 in descending order.\nAnswer: 27, 6, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z. Let k(a) be the first derivative of -7*a**2\/2 - 18. Calculate k(f(b)).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1158 * 1665.\nAnswer: 1928070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14880)\/(-217))\/16 + 2\/7*-1. What is the closest to -3 in -4, l, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 2, w: 7, n: 1, s: 4}. What is prob of sequence wlys?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 23, 0, -25.\nAnswer: -25, -4, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, -60, -83, -106?\n\"Answer: -23*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25828 - 25884. Sort -16, f, 1 in ascending order.\nAnswer: f, -16, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -97, 4, -2 in descending order.\nAnswer: 4, -2, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18709750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12699736.3 and 0.4?\nAnswer: 5079894.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.91 (b) 3\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 3*q**3 + q**3 - 2134 - 2287 + 6303 - 2264.\nAnswer: 2*q**3 - 382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q + 3. What is the tens digit of t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = z - 3*z - 39, f - 2*z - 3 = 0. Let q = f - 2. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2751 + -1946. What is the highest common divisor of 35 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -24, -2 in increasing order.\nAnswer: -58, -24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*g = 30, -f - 2*g = -5*g + 4. Let d(c) be the third derivative of 4\/3*c**3 - c**2 + 0 - 1\/24*c**4 + 0*c. What is d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(13\/(-39))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1727298 and -127\/43848?\nAnswer: 48364344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000804 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1472, 1351, 1234, 1121, 1012?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 + 2734*m\/11 + 227484\/11.\nAnswer: 2*(m + 89)*(m + 1278)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -309, -314, -333, -372, -437, -534, -669?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-60))\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44851 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67769496 is divided by 201.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25526 (base 7) to base 4.\nAnswer: -1221332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6908996 is divided by 1654?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 1 - 1)*(-v**2 - 2 + 2 + (-2*v - v + 2*v)*(14*v + 6*v + 61*v)*(-157 - 87 + 304)) to the form c*v + f*v**4 + h + d*v**3 + z*v**2 and give f.\nAnswer: 4861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10010010111110100010000101?\nAnswer: -10010010111110100010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 939 and 113306?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -6. What is the first derivative of -6*x**2 + p*x**2 + 2 - 3*x**4 wrt x?\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(15*3\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-126)\/14)*156\/84.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/7 + 788*a**2\/7 + 24122340*a\/7 - 24460355700\/7.\nAnswer: -4*(a - 1485)**2*(a + 2773)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gseg when four letters picked without replacement from {t: 1, g: 2, e: 2, s: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(4)*5))\/(sqrt(256)*4).\nAnswer: sqrt(2)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y - 5. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**2*w**3 - 2*t**2*w + 7*t*w**3 + 2538*t*w**2 + 8*w**3 wrt w?\nAnswer: -18*t**2 + 42*t + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (9 - (7 + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l + 61. Let n = -101 - -101. Is y(n) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*p + 3*z = -253*p - 3, 0 = -2*p - 2*z + 14. What is the remainder when 1383 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.4 (c) -0.06 (d) 8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -383597, -764020, -1144443, -1524866, -1905289?\n\"Answer: -380423*b - 3174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(108) + -5 + sqrt(108) - sqrt(108)) + -3)**2 + ((sqrt(108) + 1)*-2)**2 + sqrt(108) + (2*sqrt(108))**2 + 5.\nAnswer: 6*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - w + 4 = -2*w, -3*p + 3*w - 6 = 0. Suppose -p*m = -3*g - 23, -m - 6 = 4*g - 1. Solve 0 = m*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206254.3840726 + -0.5.\nAnswer: -206254.8840726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1207\/715 - 38\/65. Calculate the common denominator of 7\/9 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61660 divided by 15415?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27216 by -1008.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**3\/4 + 15305*v**2\/2 - 154270*v - 4422240 = 0.\nAnswer: -6142, -16, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 917654719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 8. Calculate w(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (-21)\/(-42)*(-1132)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 24 = 4*x. Solve p = -x*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2. Let u(c) = 2567979*c. Give i(u(y)).\nAnswer: -19783548433323*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3616, -26, -10 in descending order.\nAnswer: 3616, -10, -26, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 30. Let q be (-1*5)\/((-4)\/(9 + -17)). Let f be m(q). Let w(b) = -b - 12. What is w(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -24*r + 4. Let b be l(-4). Let c = 514 - 409. Suppose -c*x + b*x = -19605. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85590399?\nAnswer: 3, 28530133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810033?\nAnswer: 1810033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f - 4*f + 0*f + 3. Let q be z(-2). Is 639\/q + 2\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - (28\/10 + 2))*222690\/(-78)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = 3*t - 3*m, -2*t + 3*m + 17 = 0. Let z(h) = h - 2. Let j be z(6). Let v be 2\/(2*1\/j). Solve 0*d - v*d = -5*u + 5, -t = d - u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 38.00002. What is q rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385\/(-2)*12604\/31510\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60747219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4*(64\/(-20) + 3). Let b(v) be the first derivative of -6\/5*v + j*v**2 + 4\/5*v**3 - 9\/20*v**4 + 6. Find h, given that b(h) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 4*p**3 + 8474867 - p**2 - 8474862.\nAnswer: -4*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 4, s: 8, l: 1}. What is prob of sequence eeso?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*p - 34, 128*o = 132*o + 44. What is s in 0*s + s**2 - 1\/4*s**p + 0 + 0*s**3 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-120)\/32)*(3 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 5*y + 3*y)*(-4*y - 3*y + 12*y)*(-2*y**2 - y**2 + 0*y**2) + 2*y**4 - 3*y**4 - 3*y**4.\nAnswer: -109*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Let w(u) = -396*u - 363. Let a(v) = v + 1. Let r(d) = -726*a(d) - 2*w(d). What is h(r(o))?\nAnswer: 132*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 9:49 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81683 is divided by 284.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17302308 and 29796?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 508, -1, -1846, 5 in decreasing order.\nAnswer: 508, 8, 5, -1, -1846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 4, -2\/5, 3\/8, 3 in descending order.\nAnswer: 26, 4, 3, 3\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -5.394, 3.8, 34?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441547733 to the power of 1\/2, to the nearest integer?\nAnswer: 37968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -248 - -54. Let y = 164.7061 + 0.0939. Let s = y + c. What is s rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6 - -2) + (-4)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z - 37. Let j be p(-18). Let d = j - 32. Solve d*h = -2*b + 12, 2*b = 4*h - h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-8\/3)*v**(-3\/5)*(v**(4\/5))**(2\/85) assuming v is positive.\nAnswer: v**(3934\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 3*f - 2*k - 884, -2*f = -4*k - 576. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y + 5*y + 3*y + (-3 - 2 + 2)*(-2*y - 3*y + 4*y) + y + 5*y - 3*y to x*y + p and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 12125.462 to the nearest 100.\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 13. Let z be 4\/6 + (-68)\/m. Suppose z = i + i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -9, -4, -3 in increasing order.\nAnswer: -9, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/34)\/((-1)\/4). Let r = -452.7 + 434. Let n = r - -19. Which is the closest to 1? (a) 4 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(88)\/(-3*sqrt(8)) + sqrt(1188)\/sqrt(3))**2.\nAnswer: 3215\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25241952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**2\/s)**48*s**2*(s\/(s**(3\/7)\/s))\/s assuming s is positive.\nAnswer: s**(690\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1)*(-3)\/(-1). Let p = -34.13 - -34.13. Put p, w, -0.4 in decreasing order.\nAnswer: p, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/8 + z**2 - 263*z\/8 + 495\/4.\nAnswer: (z - 9)*(z - 5)*(z + 22)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278*(6\/39 - (-27)\/78) is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/168 + -509\/840. Sort 166, z, -0.1 in ascending order.\nAnswer: z, -0.1, 166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882700.3 months in centuries?\nAnswer: 2402.25025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100001000010101010001010 (base 2) to base 7\nAnswer: 133423413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 rounded to the nearest 10?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29994718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -314514 + 181014. Round t to the nearest 1000.\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040 = 5*o - 10*o. Is 33 a factor of (-1*(-41)\/(-4))\/(26\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*w - 2*a, 12 = -2*w - 5*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*l - 5*s, 4*l + 39*s - 34*s = 39. What is the remainder when l is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -3 (c) 90\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -225, -502, -21 in decreasing order.\nAnswer: -21, -225, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2300559291?\nAnswer: 3, 23, 11113813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3078 + 572. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*n - 4. Suppose -2*s = -s + 2. Is 3 + (s + 18 - n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = -2*p - 5*i, -4*p + 826 = 3*i + 249. Suppose 4*f - p = -640. Let x = -46 - f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.9. Put -1\/3, 1\/4, f, 1\/5 in descending order.\nAnswer: f, 1\/4, 1\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 3. Let u be g(2). Solve -u*h - 1 = 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7105068 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: Find the third derivative of 2831*p**5 + 277*p**5 - 13*p**2 + 6*p**2 + 18*p**2 wrt p.\nAnswer: 186480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 312, 1099, 2640, 5187?\n\"Answer: 42*c**3 - c**2 - 6*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c + -c?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28861772, 28861763, 28861754?\nAnswer: 28861745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 12460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -12. Which is greater: w or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**2. Let d(v) = 11*v - 16*v + 3 - 3. Let f(s) = -26*s. Let t(l) = 16*d(l) - 3*f(l). Determine t(k(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 5*y + 6. Let f be c(-2). Suppose 0 = -2*n - o - 25 + 22, f = n - 4*o - 21. Solve -2*v - 3*b - 21 = 0, -v - n = 3*b + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1738 + 109814?\nAnswer: 108076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 1.1. Let a = 0.5 + u. What is the third biggest value in -0.1, 1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s - 5*m - 388, 0 = 2*s - 4*m - 262. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 29749, 1.77, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 4. Let c(q) = 2*q + 4. Let o(x) = 4*c(x) - 5*i(x). Let r be o(-3). Suppose -3*a + 1 = -r. Calculate the smallest common multiple of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(336) - sqrt(21)) + sqrt(21)))\/((sqrt(28)\/sqrt(2))\/sqrt(2)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*i\/i**(3\/31))\/i))*i**(-13))\/(i\/(i*i\/(i\/(i**(6\/13)*i))))**(-6\/13) assuming i is positive.\nAnswer: i**(-66909\/5239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 15. Let l = s - -18. What is the remainder when 33 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 18*l - 20. Let f be i(17). Are -1.1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 - 1)*(-1 + 3 - 1) + 383 - 1439 + 8916)*(2*f - 2*f + 2*f**2) as s*f**2 + g + v*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (56\/10)\/(11*22\/4015385). Suppose r = -35*p + 49*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5626648 + -5626694.00114. Let a = 46 + k. What is a rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 11*z - 47. Let c be k(-5). Let h(y) = -261*y + 3. Let v be h(-1). What is the greatest common factor of c and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*s - 15 = 0, 5*s + 31 = -3*x + 6. Solve 5*n + g - 25 = 0, -4*g + 4 = -4*n - x*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-3 - (5 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, 3.6, 1\/2, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 3. Let j be y(-3). Suppose j*i + 4*i = 2*p - 82, 0 = 3*p - 2*i - 111. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -134. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -11773043?\nAnswer: -11773043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30923 divided by 15226.\nAnswer: -30923\/15226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 4\/5, 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, p: 2, s: 3}. What is prob of picking 2 a and 1 s?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 18*o - 28. Let i be m(17). What is the nearest to i in 1\/2, -4, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326.72 + 0.05\nAnswer: -326.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5 + 4*a**3 - 2*a = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/(-36))\/(18\/16))\/(8\/(-3060)*-5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (43 + (25 - 19))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f + 6. Let p = -1 + f. Solve 0 = -5*k + 15 - p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0733 - -0.3537. Let s = b + -19.527. What is s rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 92*q - 3 + 2*q**2 + 91*q - 182*q in the form o*q + m*q**2 + d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 3711098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 96*s**2 + 436*s + 336.\nAnswer: -4*(s - 28)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 4*k = 44. What is the first derivative of 14 - 4 - k + 25*p - 15 wrt p?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 2*s**2 + 4*s - 6. Let h be f(3). Calculate the lowest common multiple of 9 and (2\/h + 2)*(-9)\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-1 + -2 + sqrt(320) + -4)**2 - (-1 + (-2 + sqrt(320))**2)*2)*-2.\nAnswer: -128*sqrt(5) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 21*a - 24. Let t be o(19). Let l(y) = -11 - 2 + t + y. Let m(j) = -3*j + 1. Determine -4*l(f) - 2*m(f).\nAnswer: 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let y be 4\/(-22) - (25 - 8142\/253). Determine o so that -88*o**2 + 150*o - 25*o**5 - 103*o**v - 25 - y*o**2 + 135*o**4 - 15 - 22*o**3 = 0.\nAnswer: -1, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*f - x - 3103, 3 = 3*x. Suppose -6*h + f = -1485. Let v = 811 - h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-5)\/4)*12832\/(-240). Let s = 205\/3 + g. Factor -3\/4*f**2 + s*f - 3\/4.\nAnswer: -3*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -416\nAnswer: -1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l = 46*l - 1573. Calculate the least common multiple of 130 and l.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.9999892 - 39. What is i rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-4\/9))\/z)\/(z*z**(-28))*(z**(-7\/6)\/z*z)**(-3\/13) assuming z is positive.\nAnswer: z**(6719\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -7, 3, -1, 76, -4 in descending order.\nAnswer: 76, 4, 3, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 4*c**2 - 45*c + 74. What is u(-10)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3 = 15\/2573156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25723 - -25521. What is the second smallest value in 1\/9, v, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 133, 2\/5, -1\/32, -5, -2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 0*o + 88 = 3*r + 220 - 63, -738 = 234*r - 3*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1710 divided by 8751.\nAnswer: 570\/2917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 40031904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -16. Let m = -91.7 - -87. Let z = m + 5. Sort h, z, 4 in ascending order.\nAnswer: h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150225 + -51376897\/342. Find the common denominator of -67\/24 and l.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -32*l**2 - 3*l. Let c(j) = -385*j**2 - 35*j. What is 3*c(v) - 35*f(v)?\nAnswer: -35*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, v: 3, z: 1}. What is prob of picking 3 v and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -15*i**2 - 5*i - 145. Let c(j) = 3*j**2 + j + 29. Give -11*c(g) - 2*d(g).\nAnswer: -3*g**2 - g - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*h - 597*h = -7*m + 35, -2*m = -2*h - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14179 - 14174. Solve -6*k - 4*x - x - 4 = 0, -z*k + x = 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 6*z + 5. Let n(r) = -2*r**3 - 4*r**2 - 6*r - 12. Calculate the remainder when n(-3) is divided by f(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:28 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20867 = -y, 32*y - 27*y + 10 = 0. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -11121112121012?\nAnswer: 11121112121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.1461673 months?\nAnswer: 0.000178847275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178914 and 1789140.\nAnswer: 1789140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -151\/998 (b) 1\/11 (c) -17 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 21*y**2. Let i(z) = 65913*z**2. Give i(k(m)).\nAnswer: 29067633*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. Let d = 443.3 + -442.3. Suppose 4*a - 4*y - 24 = 0, 0 = -a - 0*a - 3*y - 10. What is the nearest to -0.1 in a, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21784 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 20 = 2*g, -5*g - n + 2*n - 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuq when three letters picked without replacement from qofqiiqiqqqiuuqiiq?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81464751 and 12?\nAnswer: 325859004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b2 + -2c90?\nAnswer: -17ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwgwwwwxxgwwww. Give prob of sequence gx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 3. Let s be 16\/x + 2\/7. Let l(y) = -8*y - 60. Let g be l(-8). What is the second biggest value in s, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:24 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -328, -495, -662, -829, -996?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = -u. Let k be 20*(44\/(-16) + 2). Let z = k - -16. Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - 6170\/(-617)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -254372*j*n**3 + 410*n**3 + 2*n**2 - 16 wrt j.\nAnswer: -254372*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*p - 10*p - 54*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 4*z - z)*(-5*z + 3*z + z) + 6*z**2 - 7 + 7 + (-z**2 - 2*z + 2*z)*(3 - 1 - 1) + z**2 + 0*z**2 + z**2 + 0*z**2 + 3*z**2 + 0*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -790 - 910. Calculate the smallest common multiple of d and 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n - 2*n. Suppose 2*d + 14 = -2*y - 3*d, -y = -2*d - 2. Let r be n*(1 + y)\/(-2). Solve r = -2*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 67. Suppose -5*s = -z - 10, z + 20 - v = s. Does 32 divide 158 - ((-10)\/z - 2\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(110)\/sqrt(18))*4)\/(-1*sqrt(2156) - sqrt(44))*-3.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204616?\nAnswer: 2, 25577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1895 = -5*f + 5*i, -55*f + 58*f - 2*i - 1133 = 0. Calculate the remainder when f is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167235 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/418 and -37\/38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/21*21\/3. What is the second derivative of -5*s**4 + y*s**4 + 6*s - 2*s wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5477*o + 169937. Determine j(31).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 6. Let x = 255 - 250. Suppose 4*d = x*n + 13, -3*d = n - 6*d + 7. Let l(m) = m + 1. Calculate n*y(t) - 6*l(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*k - 664, 5*k = -h - 2*h - 991. Let q(p) = 7*p**2 + 62*p - 15. Let f be q(-15). Let j = h + f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.01701 and -3.\nAnswer: 3.01701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1589 + 1588.8. Put 45, 2, g, 4 in increasing order.\nAnswer: g, 2, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*((-2*sqrt(418) - sqrt(418)) + sqrt(418)))\/sqrt(11))\/((sqrt(450)\/sqrt(5))\/(sqrt(35)\/(sqrt(7) + sqrt(7)*1))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*i - i + 5*z, -i = -4*z - 9. Let l be 10\/(-4)*10\/i. Let f be (-59003)\/l + 45\/(-75). Round f to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 323337 - 0?\nAnswer: 323337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635041?\nAnswer: 11, 57731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:56 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141787.\nAnswer: 3, 43, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(325))**2.\nAnswer: 40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 10*t**2 + 0*t**2 + t**4 - 46*t - 34*t + 11*t**2 to the form b*t**2 + g*t + j*t**3 + f*t**4 + h and give g.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 3. Suppose 28*k - 38*k = -30. Let i(w) = -w**5 + w**4 + w**3 - w**2 + 5*w + 5. Let m(f) = k*i(f) + 5*o(f). Factor m(z).\nAnswer: -3*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4632, 4633, 4634, 4635?\n\"Answer: k + 4631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25923360?\nAnswer: 2, 3, 5, 53, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3, 0.46?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -47?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/8, -0.3, 2, 5 in ascending order.\nAnswer: -0.3, 3\/8, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**5 - 468*h**4 - 19602*h**3 - 105300*h**2 - 151875*h.\nAnswer: -3*h*(h + 3)**2*(h + 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 92*i - 370. Let h be k(96). Put -1, 5\/34, h in descending order.\nAnswer: h, 5\/34, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + 0. Let q = 28 - b. Suppose 0 = a - 2. Solve a*u + 35 = -5*h + 5*u, 4*h - q*u + 26 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/q*(q*(q*q**(-2)*q)\/q)\/q)\/(q*q*q**(-1\/3)*q)**30 assuming q is positive.\nAnswer: q**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 15. Suppose 0 = 2*n + 2*n - j. Let s = 791 - 789. Solve -4*y = -p - p - 12, s*y - n*p + 2 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -703838, -2815350, -6334538, -11261402?\n\"Answer: -703838*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 4, -11\/2, 461 in descending order.\nAnswer: 461, 4, -1\/11, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 2. Let z be (-7 - 90\/(-12))*10*1. Let m(c) = 4*c + 3*c + 0*c - z*c. Calculate m(t(g)).\nAnswer: 8*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3563 and -10 + 4 + (-128702)\/21378*-1.\nAnswer: 10689","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 665?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 8. Let p be (-40)\/(-48) + 2\/(-2). Which is the nearest to i? (a) -1\/2 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**6*w**(-12))\/(w*w\/((w\/w**(1\/8))\/w)*w*w*w*w*w*w\/(w\/((w*w**(-8)\/w)\/w))) assuming w is positive.\nAnswer: w**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 71*y**2 + 19*y + 112. Does 48 divide f(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3028 + -605. Suppose 4457 = 20*t - n. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*a - s, -3*a + 5*a + 3*s = -15. Sort -3, -5, a in decreasing order.\nAnswer: -3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4727075 kilograms?\nAnswer: 0.0004727075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1405 + -3?\nAnswer: -1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 + s - 3. Let o(u) = -16*u**2 - 3*u + 6. What is -7*a(b) - 3*o(b)?\nAnswer: -b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -65551430.103 less than 212?\nAnswer: 65551642.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2218 (base 13) to base 6\nAnswer: -34001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - f + 23 = 0, 5*h + 3*f = -17 - 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6758 and 2767183?\nAnswer: 171565346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + 0 + (14 - 5) + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1144 and -51\/116.\nAnswer: 33176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 87, 64 in descending order.\nAnswer: 87, 64, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*l. Suppose 4*x + 5 - 65 = l. Let 41*f**3 - 32*f**3 + 10*f**4 + f**5 - x*f**4 - 7*f**2 + 2*f = 0. Calculate f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(15\/4)*n*n**(-30)\/n*n)\/(n**(2\/5)\/n**(-2\/109)) assuming n is positive.\nAnswer: n**(-55957\/2180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/87)\/((-2)\/132)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 179*t - 181*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2136 + -1565. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/(-2) - (-2)\/(-4). Let j = 25153 + -25151. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raqqj. What is prob of picking 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 12*h**2 - 18*h**2 + 3 - 698*h**2.\nAnswer: -704*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22142, -44222, -66312, -88418, -110546, -132702, -154892?\n\"Answer: -x**3 + x**2 - 22076*x - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = -20. Let w(x) = -2*x**2 + x + 3*x + x**2. Let f be w(4). Solve r*b + b = f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262.4*0.5.\nAnswer: -131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 x, and 1 a when four letters picked without replacement from lpllpeayeyaxyly?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006785378 rounded to 5 decimal places?\nAnswer: 0.00679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Suppose -v = t + 11. Let n = 12 - t. Calculate the remainder when 102 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25000 by -100.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + -18. Let a = -15 - l. Suppose -a = -4*p + 16. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -115415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(75) - sqrt(75)*4)*6 + 1*sqrt(75)*5 + 4*(2*sqrt(75) + -3 + 4))**2.\nAnswer: -200*sqrt(3) + 1891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {f: 1, o: 4, m: 3, w: 3, g: 3, q: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2 + 18. Let j = x + 3. Is j equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 60*w - 333. Let k be j(-5). Let u(c) = c**3 - 2*c**2 + 3*c + 1. Let z be u(3). Which is greater: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let b = -3 + 1. Is b less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -22\/16831 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20682\/36)\/(0 - (-6)\/4). Is z at most 381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6. Let r = -240 - -240.5. Let h = -0.3 + -0.7. What is the closest to h in n, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/457, -0.09, -0.4 in descending order.\nAnswer: -8\/457, -0.09, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3195 and 26270?\nAnswer: 236430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3680598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-3\/25)\/w)*w**36*w**(-40)\/(w\/w**(-2\/97)))**(-43) assuming w is positive.\nAnswer: w**(302462\/2425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1517*k - 718. Is r(-17) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5602.6 + -5603. Which is the nearest to -15\/11? (a) 0.2 (b) s (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 36*t - 206. Calculate z(-8).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142\/31 + 1454\/155. What is o in 86\/5*o**2 - 32 - u*o**3 - 48\/5*o + 2\/5*o**4 = 0?\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, u: 4, q: 8}. Give prob of sequence uqaq.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 221427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 + 139 = -107*f + 511 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 177837461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330893538 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5 - 122*d**4 - 92*d**3 + 24736*d**2 - 87296*d - 272384 = 0.\nAnswer: -56, -19, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5\/9 - 8*d**4\/9 + 2*d**3 - 3*d = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 5 (c) 0.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8857244 to the power of 1\/2, to the nearest integer?\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 3*y + 4. Let g be z(-4). Let d(n) = -15*n - 119. Let q be d(-8). Is g equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 581 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.0397 (b) -0.1 (c) 2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (5 + -3)) + (-407 - -452)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.47 - -259\nAnswer: 262.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b - 6. Let a(c) = 4*c - 5. Let z(d) = 6*a(d) - 5*p(d). Let v(f) = 3*f. What is v(z(w))?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**5 + 21864*u**4 - 1054*u**2 + 4 wrt u.\nAnswer: -60*u**2 + 524736*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 156*p**2 - 1257*p + 57. Calculate n(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010a1 (base 13) to base 11.\nAnswer: -235786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1502455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-85) - (6 - 4*1158\/840)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(24)\/(sqrt(36)\/(sqrt(27) - sqrt(3))) - (-5 + sqrt(98) + 0)).\nAnswer: -5*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = n - 3*p - 117 + 113, -5*p = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 + u**3 - 306*u**2 + 307*u**2 + 121*u - 46*u - 75*u.\nAnswer: -12*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 22*o + 2097987 = 8465609. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.250552 weeks?\nAnswer: 2525.56416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 16*a - 27*a + 10*a. Let x(j) be the third derivative of 0*j + j**2 + 1\/4*j**4 + 0 - 1\/6*j**3. Calculate 10*f(s) + 2*x(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-1*-6)\/(sqrt(55)\/sqrt(80) - sqrt(11)) + (1*1*sqrt(77) + sqrt(77) + sqrt(77))\/(sqrt(252)*-2).\nAnswer: -33*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**2 + 6*c - 6. Let u(j) = -4*j**2 + 6*j - 5. Let p(k) = -4*u(k) + 3*y(k). Let d be p(5). Let g be (-4)\/(4\/d) + 2. Solve -g*q - 2 = 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(-1 + 1 - 2*o) - 4*o + o + o + o + 1 - 1 - 75*o - 83*o + 32*o as b + y*o and give y.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 716, 1047, 1600, 2375, 3372?\nAnswer: 4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44165989 is divided by 1020?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -2, -138, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 1889 + 1889.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - 8*m - 12*m to t + c*m and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8479085 and -0.14.\nAnswer: -1187071.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 8*a - 4. Let y = 21 + -13. Let c be 6\/(-8)*(y + 0). Is 4 a factor of i(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 26 = -7*g. Let t(c) = -c**3 + 8*c**2 - 7*c - 2. What is t(g)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44170 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-98)\/(-147) - (-109578)\/9. What is the highest common factor of 32 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27297062 by -883.\nAnswer: 30914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3377?\nAnswer: -4\/3377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/75)\/(9482\/(-6465)).\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86326 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21857002.\nAnswer: 2, 17, 642853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23944665 minus -34?\nAnswer: -23944631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -4, 1, -3.\nAnswer: -4, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9013, -36103, -81257, -144475, -225757, -325103, -442513?\n\"Answer: -9032*g**2 + 6*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.4073ml in litres?\nAnswer: 0.2904073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -2)\/(3 + -4). Let l(y) = -n + 6 + 1 + 2*y. What is the least common multiple of l(5) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16299 * 3\nAnswer: 0.48897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 348. Give g(20).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412894.\nAnswer: 2, 206447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -8, -4, 4\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56421 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 22*w + 10 + 367*w**3 - 22*w.\nAnswer: 367*w**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:04 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 7\/4*y**2 - 1\/2*y - 1\/4.\nAnswer: -(y - 1)**2*(4*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2418474, -4836943, -7255410, -9673875?\n\"Answer: z**2 - 2418472*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {x: 7, z: 2, v: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15594 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(204\/(-14960)*40)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 + 74*p - 5. Let z(j) = -6*j**2 + 64*j - 6. What is 4*u(g) - 5*z(g)?\nAnswer: 6*g**2 - 24*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4976580599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) -7\/9 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*k - 57. Suppose 3*x - 109 = -0*h + k*h, -5*x - 89 = 3*h. Let l be (18\/14 - 0) + 8\/h. Which is smaller: -13 or l?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*n**5 - 759*n**4 + 2385*n**3 - 2721*n**2 + 1263*n - 180 = 0. What is n?\nAnswer: 1\/4, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = 65*t + 43*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2718 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a hour in seconds?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-8)*g))\/g**(-2\/19)*((((g*(g*g*g**11*g)\/g*g)\/g)\/g)\/g)\/(g*g\/g**(1\/3)) assuming g is positive.\nAnswer: g**(1051\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -888362155087\/2637 + 336883633. Let p = -24\/293 - k. What is the common denominator of 7\/5 and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 3. Let i(y) = 4*y + 2. Let o(a) = 8*i(a) + 5*t(a). Calculate o(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2334700 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -10, -2\/33, 0 in descending order.\nAnswer: 0, -2\/33, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 285 + -278. Solve 11*f - v*f + 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i + 3*r + 265 = 0, 0 = 5*i + 2*r - 290. Let k = 59 - i. Suppose 5*m - 4*m - 662 = -4*a, -4*m = k*a - 503. What are the prime factors of a?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*r - 5 = -80*r + 237 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 95*t + 9423. What is m(-97)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 12, 2*n - 1 + 4 = -5*y. Let o = -15 + n. Which is greater: o or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-1)\/2*1. Suppose -5*l + 7 = k, c = k - 3*l - 2*l + 3. Suppose 31 = -5*z + 11. Sort k, 1, z in ascending order.\nAnswer: z, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**3 + 1027*o**2 - 8*o. Let l(n) = 4*n**3 + 685*n**2 - 5*n. What is -5*g(s) + 8*l(s)?\nAnswer: -3*s**3 + 345*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 92 in increasing order.\nAnswer: -4, 0, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 184581532 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -772 by -193.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 343, 2.5?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**2 + 32*k**2 - 5 - 13*k**2.\nAnswer: 2*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*x = 16, -9*z - 96 = -24*x + 17*x + 4*x for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 3 (c) -2\/3 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/376871471?\nAnswer: -1\/376871471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 18)\/(2\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 2922 + 375 = 0. List the prime factors of o.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0.2. Let q = o - -0.2. Which is the second smallest value? (a) 2 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 0.1282?\nAnswer: -0.005128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 432 = -8*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (70\/(-25))\/7*-125?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-4)*(-3)\/12)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*j + 86*j = 4*v - 38638, 4*v - 115946 = -3*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 less than 60.313147249?\nAnswer: -11.686852751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 13*w**2 - 14*w + 9. Determine v(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d - d. Which is the smallest value? (a) d (b) 1\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 27\/28, 7\/15, 0.06, 0.3 in descending order.\nAnswer: 27\/28, 7\/15, 0.3, 0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672*o = -675*o + 1110. Let c = 5 - -7. Calculate the remainder when o is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 63561?\nAnswer: 63606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18750154.\nAnswer: 2, 9375077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 16420*o**3 + 16416*o**2.\nAnswer: 4*o**2*(o + 1)*(o + 4104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from segspuqgeuqe. Give prob of sequence pu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 537620645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/6 + (-455)\/(-39). Solve -2*s + b = 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -4. Suppose 1089 = -i - 4*i + 3*m, 4*m + 852 = -b*i. What is the units digit of (-3)\/(3 - i\/(-68))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o**2 - 8*o. Let f(z) = -8*z**2 - 5*z. Let g(k) = 8*f(k) - 5*q(k). Let a(v) = 3*v. Give g(a(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.112, -229\/8, 1?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115573, 230199, 344823, 459445, 574065?\nAnswer: 688683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -47.39 and 0.2.\nAnswer: -47.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5711.89l?\nAnswer: 5711890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/105*9\/(-228)*-8?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/22)\/(3*3\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 + o**2 - 23*o - 28. Find the first derivative of i(f) wrt f.\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144374345529 - 1.5.\nAnswer: 144374345527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t**2 + t - 2. Let y be g(-2). Let j be 1*-6*8\/320*-5. Which is the second biggest value? (a) j (b) y (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2 - 2*d + 1 + d**3 + 6 - 5*d**2. Let u be f(5). Let h = u + 10. Solve -4*j - h = 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66796957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = -o + 9, b - 5*o = -13. Suppose -b*q + 0*j = 2*j - 4, -2*j + 16 = -4*q. What is the units digit of (q\/(-2))\/((-8)\/(-160))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (1 - 2 - (-18 - -14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -755*b - 27191. Give u(-36).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*u + 53*u - 1 + 4*u**2 - 2*u**3 + 49*u as n*u**3 + z*u + o*u**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 8396.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*x + 6*k - 6, 0 = -5*x - 5*k - 5. Let q be ((-3)\/x)\/(2\/4). Suppose l + 0*l = v + 4, 2*v = q*l - 10. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*d - 9, -47*i + 43*i = -5*d - 47 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1314?\nAnswer: -1308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from qammcabambmbamb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1505379 months to decades.\nAnswer: 0.0012544825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 0*o**3 - 2*o**3 + (-2*o**2 - o**2 + 5*o**2)*(-2 + 0 + 1)*(-3*o + 4*o + o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + a)*(4*a - a - 2*a)*((-2*a**3 + 4*a**3 - 5*a**3)*(1 + 1 + 0) + (5 + 72 - 4)*(2*a**3 + 0*a**3 + 0*a**3)).\nAnswer: 140*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/42)\/(2\/(-6)). Let o be (-296)\/36 + 4\/18. Let y = -6 - o. Which is the third smallest value? (a) d (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4378, 1511 in ascending order.\nAnswer: 1\/2, 1511, 4378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*j + 6 = 155*j - 4*x, 8 = j - 3*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*d**2*n**2 + 14*d**2*n*z + 2*d**2*n + 2*d**2*z**2 - 2573117*n**2*z**2 - 93*n*z wrt z?\nAnswer: 4*d**2 - 5146234*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(45)\/(sqrt(54)\/sqrt(6)))*-4 + -5*(sqrt(5) - sqrt(400)\/sqrt(5)))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 3. Let f = 319 - 323. Let q be 95\/19 + 2*f. Let u(n) be the first derivative of -n**2\/2 + 4*n - 1. What is q*u(g) + 4*b(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 8:40 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*k**5 + 206*k - 66*k - 99*k wrt k?\nAnswer: -220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -79 + 54 + (42 - 9)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*s - 234510 = 62*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4884.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Suppose 2*y + 32 = 5*y + o, -3*y - 3*o + 36 = v. Let c be 32\/y - 2\/10. Solve 3*p - 2 - 13 = 0, -c*p + 13 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 5*m + 2. Let t be (-14)\/(-4) - ((-121)\/(-22) - 6). Let w be ((-8)\/(-10))\/(t\/(-20)). Calculate f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 2 + 2)*(-3 + 3 + 1)*(0 - 12 + 5) as m*j + n and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -306, 4, 2 in decreasing order.\nAnswer: 4, 2, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 z, and 1 s when three letters picked without replacement from {j: 14, d: 2, z: 2, s: 1}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:39 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21049 + -378995\/18. What is the common denominator of n and 89\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-53)\/(-636))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + s)*((4 + 0 + 0)*(0 + 3 - 4) - 26 + 46 - 35).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -9 + 89. Let t be (6\/q)\/((-18)\/(-12)). Factor t*y**3 - 1\/4*y**2 + 0*y + 0.\nAnswer: y**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3294 = 7*n - 17490. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010001101001011100 (base 2) in base 14?\nAnswer: -1175a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99003 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82320257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 251*i - 8 - 1 - 63*i.\nAnswer: -314*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 1868790.\nAnswer: 1868790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 30 = -1318*r + 1322*r, g - 3*r = 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/((sqrt(120)*5 + sqrt(120))\/sqrt(10) - sqrt(12)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.87566 nanograms to grams.\nAnswer: 0.00000005387566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 2 + 7 - 0. Let w = 106 + -101. Suppose -w*k + 6*m + 5 = m, a*m = k - 10. Which is smaller: k or -7\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(99) - 3*(sqrt(99) - (sqrt(99)*-2 + sqrt(99)) - sqrt(99))) + 6*sqrt(99)*1)\/(sqrt(1089)*-2*-4 - sqrt(1089))*-5 + -4)**2.\nAnswer: 320*sqrt(11)\/77 + 34896\/539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Solve -6 = -h*o - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7 - 8 - 8 - 4*o + 3*o + 16. Let u be ((-6)\/3)\/(1\/10). Let t = u - -14. Calculate s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(3\/(-1)))\/(-1). Suppose -2*s = -3*s. Let z = 1.6 - 2. Which is the closest to s? (a) x (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1591060*l**2 + 120925*l - 5?\nAnswer: 3182120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121340810753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8487 - -813. Suppose -f = 4*i - 3*i. What is i rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6 - (-1 - (-74)\/(-4)). Let r be 86\/p - (-12)\/54. Suppose -16 = -t - 4*s, -3*t + r*s = t - 1. Solve -5*l + 1 = -t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t - 38. Suppose -5*k + 6 = -t. Suppose -1 = 4*l - k. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 11. Let y(v) = -16*v + 46. Calculate -9*l(k) - 2*y(k).\nAnswer: -4*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/26155 and -89\/4530.\nAnswer: 23696430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-12)\/6*1\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3336?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -806279*m**2. Let k(y) = -y. Determine k(v(c)).\nAnswer: 806279*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14965 is divided by 8865?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 6792 and 6791 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 360 = -3*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 291418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38052257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/60 - i**4\/24 - 15*i**2. Suppose -3*h + 8*h = -15. Determine q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/2, -1\/9, 1088098 in ascending order.\nAnswer: -4, -1\/9, 1\/2, 1088098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -2197.8 (c) 44 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r*r**(6\/5)))\/(((r\/((r\/r**(3\/5))\/r)*r*r)\/r)\/r) assuming r is positive.\nAnswer: r**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2 - 108. Suppose 0 = -t + 5*q + h, -5*t + 3*t = q. What is the third derivative of -3*i**3 - 313*i - 5*i**t + 313*i wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 2*w)*(-1 - 2 + 4)*(24 - 228 - 12)*(2*w + w**4 - 2*w).\nAnswer: -648*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/23))**(-1\/44) assuming z is positive.\nAnswer: z**(-25\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 3*z**3 - 3*z**3 + (0*z - 6*z + 3*z)*(0*z**2 - z**2 - z**2) + 2*z**3 - 2*z**3 + 3*z**3 as h*z + a*z**2 + w*z**3 + d and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 5*t + 62. Suppose 15 = 5*x + 4*j, 2 + 1 = x - 5*j. Suppose -2*b - 5*a = -15, -x*a - a = -3*b + 80. Calculate the greatest common factor of t and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2 + 3*c + 2. Let r(s) = 292 - 5*s - 792 + 495. Calculate r(u(b)).\nAnswer: -15*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(2 - 1 + 1)*(-57*f + 9*f - 40*f).\nAnswer: -528*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 2943*z**2 + 723240*z - 720300.\nAnswer: 3*(z - 490)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*(1 + sqrt(325)) - sqrt(325)) + 1)*-3.\nAnswer: -90*sqrt(13) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/108 - (-1259)\/12. Calculate the highest common divisor of 135 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - z. Let a(v) = 6*v**2 - 13*v + 3. Let s(q) = -a(q) + 5*c(q). Let r be s(9). Which is smaller: r or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(833\/42)*126\/27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {d: 2, b: 3, x: 1, m: 1, q: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1290810122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose 3*m + 3*t - 14 = 2*t, -2 = -t. Sort -5\/3, s, m.\nAnswer: -5\/3, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241398394 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64 - -3?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9403*c + 9403*c + 7*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-88)*2)\/((-4)\/16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-5) - (-655)\/25. Let a = o - 27. Let n(d) = -d**2 - 6*d + 1. Let c be n(-5). Solve a = c*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000 - 1000000110?\nAnswer: -101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 22\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 20*w**2 + 83*w - 12. What is j(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110*z**3 - 133*z**3 + 72*z**3 - 175*z**3 + (6*z - 4*z - 3*z)*(-3*z**2 + 5*z**2 - 3*z**2).\nAnswer: -345*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/201749 - 150504772\/1815741. Let l = z + 83. Factor l - 2\/9*a + 1\/9*a**2.\nAnswer: (a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-2)\/(-8)). Suppose 4*o - 5*o + d = 3, -i*o = -3*d + 9. Solve 0 = -5*b - 4*c - o*c, 0 = -c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.7603 millennia in centuries?\nAnswer: 8477.603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/3)\/(40 + -46).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (6 - 7) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 6580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 542507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 73\/105 - 62\/651\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k + 74. Let i be f(25). Put 3, 0, -17, -5, i in decreasing order.\nAnswer: 3, 0, i, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + -31. Let c = -22 - l. Calculate the remainder when 69 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.5 - 10. Let q = k - -1.5. Which is the biggest value? (a) 3 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -21*d - 185. Let r be f(-9). Solve 2*a = 4, -1 - 25 = r*o - 3*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1283, 10371, 35347, 84155, 164739?\n\"Answer: 1324*c**3 - 180*c + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*h + 3*h**2 + 215*h - 2*h**4 - 2*h**3 to the form r*h**3 + g*h**4 + m*h**2 + o*h + c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5101900317 to the nearest one million.\nAnswer: 5102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {f: 3, k: 3, e: 10, w: 3, g: 1}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -300.32 to the nearest integer.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 29*u**2 - u + 50. Let v be r(-7). Suppose -18*d + 20*d = v. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-2)\/(-4))\/((-8)\/1016). Is 126 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1146195 - 804295. What is a rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.29587 or -618\/25?\nAnswer: -618\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 19*r**4\/12 + 2*r + 5. Let f(t) = t**2. Give q(f(s)).\nAnswer: 19*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**22*o*o\/(o*o**(-2\/33)))\/((o**(-10)\/o)\/o**(-27)) assuming o is positive.\nAnswer: o**(233\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -416, -431, -460, -509, -584, -691?\n\"Answer: -l**3 - l**2 - 5*l - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/57412 - -32875\/114824. What is the common denominator of p and 107\/36?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/7 + 70156*w\/7 + 140304\/7 = 0.\nAnswer: -35076, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**2 + 7*m - 3. Let k be d(-3). Let q be (8\/6)\/((k\/4410)\/(-4)). What is q rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12, -4, -13\/2, 0, 239, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36715973 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/2 + 125*f\/2 + 127 = 0. What is f?\nAnswer: -2, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1350*v + 582?\nAnswer: 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 8 = 5*v + 2*c, 0 = v + c + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 275 + 61. Let k = a + 42. Suppose k = -18*m + 23*m - 115. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 232*y + 154. Let u(q) = -50*q - 1. Let t(z) = r(z) + 4*u(z). Determine t(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -838, -1682, -2526, -3370, -4214, -5058?\nAnswer: -5902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*l - t = 143*l + 10, 0 = 5*l - 10*t. Let s(d) be the third derivative of 5\/6*d**l + 0*d + 0 - 10\/3*d**3 - 25*d**2 - 1\/12*d**5. Solve s(h) = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2764766*d**3 + d**2 + 24*d - 12286.\nAnswer: -16588596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 479137 times -0.3?\nAnswer: -143741.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 931\/14 - 3\/1. Let o = -61 + s. What is the third smallest value in -0.5, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 2. Let j be u(3). Suppose 0 = 2*t - j*t + 27. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 444672?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1157418993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*o + 85, -103 = -x + 88*o - 85*o. What is the remainder when x is divided by 38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + 1.99. Let p = 1.9 - 2.2. Which is the nearest to y? (a) p (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + -5.02. Let r = 612.67 - 605. Let i = r + -7.97. Which is the fourth smallest value? (a) i (b) -2\/9 (c) 5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(2*-1 - (-714)\/360). Suppose f - q = -7*f. Solve -5*x - f = 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + 2. Let t(z) = -5*z + 6. Let g(m) = 9 - 2*m - 4*m + 16 - 17. Let p(r) = -3*g(r) + 4*t(r). Calculate p(f(u)).\nAnswer: 6*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 27*q**2 + 5*q - 32. Let x be d(27). Let y = 3 - 3. Suppose y = 101*p - x*p + 1918. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111322032 (base 4) to base 3.\nAnswer: -11120002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27242331121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.076 * 3.\nAnswer: 3.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184793264 and 6494.\nAnswer: 184793264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -348, -345, -342?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*n = -3367 - 4004. Calculate the greatest common factor of n and 3456.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10320 (base 7) to base 13.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1737 = 4*q + 3357, -3*x = -q - 7646. Suppose 0 = -2*c - 2*g + 960, -159 + x = 5*c - 5*g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02581 rounded to 4 dps?\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2 - 10. Suppose 2*u - d*u + 4 = q, 0 = -3*u - 3. Calculate the remainder when 22 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 58057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, l: 2, z: 1}. Give prob of sequence kf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 40686 = -6986. Calculate the greatest common factor of g and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777195?\nAnswer: 3, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c - 12 + 3*c**2 + 8*c - 8*c + 4 - 2 + 6.\nAnswer: 3*c**2 + 31*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23672 is divided by 5570?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*t**2 - 102*t + 102*t)*(0 - t + 2 + 2*t).\nAnswer: 103*t**3 + 206*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-28)*(-31948)\/53627?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63262\/15 + 4218. Determine o, given that 0 + 0*o + 2\/15*o**2 + m*o**3 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (34 + 1)*(-4)\/(-10). Suppose 0 = -3*f - 3*x + 10 - 37, 2*f + x = -14. Let v be f - -2 - -12 - 2. What is the greatest common divisor of z and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18060 is divided by 7564?\nAnswer: 2932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84796 = 11906*f - 11908*f. List the prime factors of f.\nAnswer: 2, 17, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*v - 4140 = -1094, 2028 = 2*j - 4*v. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 5:22 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l. Let h(y) = 12*y**2. Calculate t(h(b)).\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 2. Let l be n(-3). Let r be (-55)\/(-25)*(-5)\/(-1). Let i be 1\/2*(1 + r). Put l, i, 3 in decreasing order.\nAnswer: i, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320 divided by -8961.\nAnswer: 320\/8961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -163591+324.608\nAnswer: -163266.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p**3 + p**2 - 1. Let i be d(1). Let c = -1 + i. What is the lowest common multiple of c and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26323 and -1037.\nAnswer: 27296951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -370 - -544. Let j = -111 + r. Let t be j*1\/5 + 48\/120. Sort -3, t, -4 in increasing order.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -1 + (2 - 2) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -327*d + 332*d - 40 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 5.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 980919.5 meters in centimeters?\nAnswer: 98091950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 16*c - 2*c + 6*c as q + u*c and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 10*z**2 - 12*z - 20. Suppose 5*u - u = -3*x - 24, -2*u - 10 = 2*x. Let k be g(u). Solve 0 = -5*n - 2 + k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krr when three letters picked without replacement from {k: 2, i: 5, r: 6}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = -s - a, 4*s = -5*a + 37. Suppose s*q = 4 + 5. Suppose -3*n + 0*n = -3, 0 = -q*c - 4*n + 31. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 304\/5 - 62. Suppose 2*d + 0*d - 15 = 3*f, 25 = d - 5*f. Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 12, -10\/17, -2, 0.06, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**10\/45360 + l**9\/22680 + l**4\/12 - 3*l. Let b(c) be the third derivative of k(c). Factor b(h).\nAnswer: 2*h**4*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 10*j + 73. Give p(13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -21. Solve -4 = 4*x - 4*t, 3*t - h = -3*x - 0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 37*q**2 - 118*q + 35. Suppose 0 = 488*p - 497*p - 360. Let k be r(p). Let f(s) = -s**3 - 7*s**2 + 5*s - 9. Let m be f(-7). Is m < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*n = -14, -5*w + 3*n - 1 = 4. Let v(r) be the third derivative of -r**4\/24 - 4*r**3\/3 + 4*r**2. Calculate v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8584 and 2983199.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -295 + 320 - (8 - (-10 + 6))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d**2 + 124 - 59 - 11*d**2 - 65.\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2 - 98732*x + 2437001956 = 0.\nAnswer: 49366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11513, -15113, -18713, -22313, -25913?\n\"Answer: -3600*d - 7913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4, -101 = -3*p - p + 3*g. Suppose 9*i - p = 7*i. What is the remainder when i is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 19 - 26 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 15 = y. Suppose -2*h + 237 = -w, 0 = 3*h + y*w - 8*w - 352. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3371798953.\nAnswer: 4751, 709703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1 + -3 - -4. Let z be (18\/u)\/(30\/80). Let x be (12\/(-10))\/(3\/(-15)). What is the highest common factor of x and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-12) - 335\/(-3). What is the highest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 5*a**8\/84 + 377*a**7\/30 - 5473*a**6\/120 + 563*a**5\/12 + 133*a**4\/24 - 67*a**3\/3 - 310*a**2 + a. What is l in r(l) = 0?\nAnswer: -134, -1\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 300 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13039 = 1108*q - 7321 - 2908 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u - 2. Calculate d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 144*y**2 + 651*y + 978. Let g(k) = -14*k**2 - 65*k - 98. Let d(a) = 21*g(a) + 2*z(a). Determine x, given that d(x) = 0.\nAnswer: -17\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7084628 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/5 - 36888*y\/5 + 507150 = 0?\nAnswer: 69, 18375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 18*j + 108. Let i be d(-6). Sort -3, 33, i in descending order.\nAnswer: 33, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*i = -180, 0*f - 2*i - 70 = -2*f. Suppose p - 9 - f = 0. What is the remainder when p is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -126*l + 505. Solve l = -2*h - 5, h + 21 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -10. Suppose 0 = -2*b + 2*d + 6 + 2, 0 = 2*b + 4*d + 10. What is the units digit of 0 + (i - b) + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*b + 9*g + 20, -4*g + 12 = 0. Let x(w) = -13*w**2 + 7*w - 13. Let r(q) = -7*q**2 + 4*q - 7. Calculate b*r(j) - 4*x(j).\nAnswer: 3*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1181.\nAnswer: 354.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f + 0*f)*(0*f**3 - 21 + 0*f**3 - f**3).\nAnswer: f**5 + 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20677.92 - -20801.9263. Let r = 101.3 + 22.7. Let o = r - y. Round o to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + 23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*l = -14, -4*l - 20 = -3*g + g. Suppose 0 = 2*m - 2*r + 56, 3*m - 8*m - 146 = -g*r. What are the prime factors of (-1325)\/m - 1\/6?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 19*x - 57. Let f be b(-15). Suppose -5*l + 250 = -3*w, -299 + 102 = -4*l + f*w. What is the remainder when 263 is divided by l?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - p**2 + p. Suppose -3*a = -2*a - 5. Let u(c) = -c**3 + 2*c. Let r be u(-2). Suppose 0 = -0*k - 4*k - r*q + 4, 4*q + 14 = a*k. What is t(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c - 8. Let j be y(7). Suppose -4*l - j = -304. Calculate the greatest common divisor of 160 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7781 (base 14) to base 12.\nAnswer: bb85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/23 - 35\/138. Suppose 2*r - r - 5*i - 8 = 0, 0 = -4*r + 4*i - 32. Let q be 1 + (-4)\/((-64)\/r). What is the closest to -2 in 2, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2391, -2452, -2493, -2514, -2515, -2496?\nAnswer: -2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*576136\nAnswer: -2880680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1886 - 316. List the prime factors of b.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 185, 375, 569, 767, 969?\n\"Answer: 2*r**2 + 184*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -220, -888, -2000, -3556, -5556, -8000?\n\"Answer: -222*n**2 - 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -g + 2*j + 8, 44 = 3*g + 2*j. What is the least common multiple of 38 and g?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81609545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1 + (-5 - -2). Let z(k) = -k**3 - 4*k**2 + 1. Let g be z(y). Let n(o) = o**2 + 3*o - 4. Let m be n(-4). Is g less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2481876 is divided by 5302?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 37.1. Let w be 52\/(-78)*((-3)\/4 + 1). Which is the biggest value? (a) n (b) -0.7 (c) 2\/19 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177835054?\nAnswer: 2, 6679, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-12)*4\/(-17))\/((-28)\/14)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 4) to base 11.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1078705 and -1.\nAnswer: 1078705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10280146889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let r be (32\/(-20))\/(h\/70). Let g = -40 - r. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65.6 and 222?\nAnswer: 156.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -12*p**2 - 4*p - 3. Let m be c(-2). Let f = 107 + m. Suppose 5*s - f = 3*s. What is the greatest common factor of 48 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) 59505 (c) -4 (d) -6 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)\/(k**(-11)*k))\/(k\/k**12*k**(-1\/7)) assuming k is positive.\nAnswer: k**(155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 2*v**2 - 64*v - 138. Give i(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4252046 divided by -2126023?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 8*o**2 - 2*o. What is the remainder when b(6) is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2003410 + -12001?\nAnswer: -2020411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1307*c**5 + 842*c?\nAnswer: -26140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -139*v**2 + 2*v + 169*v**2 + 8 - 172*v**2 + v**3 + (0*v**3 - 3*v**3 + v**3)*(0 - 1 + 0) + 2*v - 2*v - v**3.\nAnswer: 2*v**3 - 142*v**2 + 2*v + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**2 + 24*c - 113. List the prime factors of h(-17).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2262 divided by -39\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10951.\nAnswer: 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, j: 4, y: 1}. Give prob of picking 2 j.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4823514\/5 not equal to -964702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4 - 676669*j**3 + 20990*j**2 - 23*j + 4 wrt j?\nAnswer: -24*j - 4060014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let f be (6 - 0) + 0\/(-1). Suppose -4*z = f - 334. Let d(p) = -z*p + 0 + 86*p + 0. Calculate q(d(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (29370\/3560)\/(13\/20 - 2\/5) and 243.\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74072\/(-12) - (-2)\/(-6). Let r = o - -13890. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - ((2 - 1) + 2 + -8). Solve 5*u + 35 = -5*r, 4*u + r = k - 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {n: 3, y: 5, t: 8, f: 2, z: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 70 = -4*l. Suppose r - 2*r + 3*p + 24 = 0, -2*r - 3*p + 12 = 0. Calculate the common denominator of ((-8)\/20 - l\/(-40))*54 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 0.5 (c) 3 (d) -279 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 5*l. Let j be u(5). Suppose p = -2*p + 4*p. Solve j = -p*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -65*n + 417. Let p(m) = 74*m - 476. Let l(t) = -17*a(t) - 15*p(t). Determine l(-8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2061 + 2118. Solve 45 = -66*x + f*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m + 16. Let f be y(7). Let b = 30 + f. Solve -5*t - 27 = u, -u + b = -4*t - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1336 = 64. Let h = d - -3871\/3. What is the common denominator of h and 93\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4363208 is divided by 6287.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 297375103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + (-1 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*u + 368 - 1341 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c8 (base 16) to base 13.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000006073 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 17824*o + 120 = -17829*o, -66 = -2*x - 4*o for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5634725, -5634729, -5634729, -5634719, -5634693, -5634645, -5634569?\nAnswer: -5634459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**33\/((m*m\/m**(-17)*m)\/(m\/(m\/(m**5\/m)*m))) assuming m is positive.\nAnswer: m**(-149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 460768.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 24 = 12. Is 4 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39 and 0.4.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-22)*3)\/(2\/10*3).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/1)\/(-8*12\/(-128)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -5, 2\/21, -3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 10*f + 6. Let t be c(8). Let n be (104\/(-16) - -6)*4\/t. Let q = -0.51 - -0.11. Put q, n, 0.1 in decreasing order.\nAnswer: 0.1, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19332?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -5938\/72315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, 0.33 in decreasing order.\nAnswer: 0.33, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3680880 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-148305)\/20*8\/14*2030\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000931 rounded to 7 decimal places?\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*o - 492 = 0, -2*o = -4*r + 481 - 91. Let h be 1\/(-2) + (-11)\/(-2). Suppose 0 = 4*t - 5*t - h*i + r, 0 = 2*i. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203238 times -14?\nAnswer: 2845332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.27 - 221.\nAnswer: -219.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -71*m - 254. What is the hundreds digit of v(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-12)*v)\/((v*v*v*v\/v**(-1\/13))\/v) assuming v is positive.\nAnswer: v**(142\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 2*y + 2*y - 3*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 165, 157, 149?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 639*c**2 + 8096*c + 67728. Give x(332).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 349\/7476?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496513961 a multiple of 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*m - 5*t - 9, 0 = -t + 5. What is the units digit of (38\/(-3))\/(m\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 13 = -58 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(23 + (-133879)\/5893).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66.69, 0, -4, -3.\nAnswer: -4, -3, 0, 66.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 905365285 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from mmmpmpmmmmmgmm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32681803?\nAnswer: 7, 11, 17, 24967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 60 = 476 - 116 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7051 + -44211?\nAnswer: -37160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*k, 4*k + 4 = -2*n - k. Suppose -3*j - 204 = -30. Let d = j + 62. Sort d, n, 5.\nAnswer: n, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - f**2 - 1. Let r be (-15)\/6*4\/(-5). Let p be x(r). Let l(a) = -a**2 + p*a**2 + 0*a**2. What is l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18048 and 559515\/31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 159*l**3 - 861*l**2 + 549*l + 1566.\nAnswer: 3*(l - 3)**2*(l + 1)*(l + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b + 55*b - 84*b + 7*j = -77, -b + 20*j + 13 = 17*j for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 18 - 16 + 38*x**3 - 22*x**3 + 44.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71352*w**2 + 284667*w wrt w?\nAnswer: -142704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5 = -4*u + 1, -2*u - 2 = v. Suppose -j = -4*r + 295 - 275, 4*j = -3*r - 4. Suppose -a + 17 - r = v. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzzmdmdztzdmdddxdmxx. What is prob of picking 1 m and 1 z?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/95 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 411 - 162. Let f = 247 - q. Which is the closest to f? (a) -2 (b) -2\/15 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510 and 8205.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.94 and 8.5056?\nAnswer: 7.995264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2. Let p(r) be the first derivative of -r**5\/60 + r**2\/2 - 1. Let w(g) be the second derivative of p(g). What is w(l(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + 0 + sqrt(17))**2 + sqrt(17) + (-1 + sqrt(1700))**2.\nAnswer: -19*sqrt(17) + 1769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1456360 + 10)\/(11\/2200). What is v rounded to the nearest one million?\nAnswer: -291000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 2 y when four letters picked without replacement from {m: 1, t: 10, h: 1, y: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*m + 17 + 69*m - 13 - 6.\nAnswer: 159*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/350 and 2\/2715.\nAnswer: 190050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146581824 and 8.\nAnswer: 146581824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27805)\/(-871) + -31)\/((-12)\/(-1612))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497720 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*r - 26*r + 4*t - 12, 0 = -5*r - 2*t - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n - 5. Suppose -2*j = -11*j + 27. Let m = -1 - 4. Let h(f) = -9*f - 9. Give j*h(y) + m*d(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -8. Let j be ((-9)\/15)\/(t\/(-25)). Suppose 0 = 5*f - j*l - 13, -5*f + f + 4*l = -4. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/2 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 120*a**2. Let s(f) = 15*f - 21. Give m(s(j)).\nAnswer: 27000*j**2 - 75600*j + 52920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 - 99?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102967026 to the nearest integer?\nAnswer: 10147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)\/b*b*b*b*b**(1\/4))**6)**1)**(-32) assuming b is positive.\nAnswer: b**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 2*t - 2. What is o(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1267315 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Let n be (-20)\/l*(5 + -6). Suppose 0 = -4*c + 8*c + 3*i - 369, 4*c - 3*i - 351 = 0. Calculate the highest common divisor of c and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*i - 4 = -2*d, -i = -4*d. Let a(b) = -b**2 + 2*b. Let g be a(d). Let r(l) = -l + 6. List the prime factors of r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577438 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-420)\/560*(-4)\/(-144)*-3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13920000 to the nearest 100000.\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**4\/5 + 7881*y**3\/5 + 1035957*y**2 + 5171907*y\/5 = 0.\nAnswer: -1313, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1041 - -50423223?\nAnswer: 50424304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 35, -2\/5, -7, -0.1, -1.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/6, -0.6, -2\/403, 0.5, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/15*(-1)\/(-2))\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 702.8 + -702.80004965. Round d to 6 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**5 - 201*x**4 + 6987*x**3 - 1734*x**2 = 0 for x.\nAnswer: -34, 0, 1\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let d(f) = -235406*f. Give d(z(o)).\nAnswer: -470812*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 16 = -d - 3*d, -5*d - 4*z = -25. Let y(q) = -d - 9*q - q**3 - 3 + q + 2 - 8*q**2. What is the units digit of y(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 - 0.05. Let y be (4\/6)\/(2\/(-9)). Let i = y - -1. Which is the second smallest value? (a) x (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 - 56*g + 68. Let u = -22 + 19. Let b(y) = y**2 + 19*y - 23. Let n(w) = u*l(w) - 8*b(w). Suppose n(p) = 0. What is p?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 1. Let k = w - -6.1. Which is the nearest to k? (a) 0.3 (b) 0.4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 235 = 5*w + 60, -3*m = 4*w - 140. Suppose 21*a + w = 4*g + 18*a, g + 5*a = -20. Let b(z) = 4*z - 4*z + z. Calculate b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15620896667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 593895.3 kilograms?\nAnswer: 593895300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**3 + 3*h**2 - h - 41. Let w(t) = 4*t**3 + 4*t**2 - t - 40. Let j(p) = -5*b(p) + 4*w(p). What are the prime factors of j(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/11*3*1\/3. Suppose 2*x - 10 = -a, 5*x + 2*a - 31 = -c*a. Solve -l - 13 = -x*q, l - 4*q + 17 = -0*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283362 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 + 9) - (-16 - -23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 7*q**3\/3 - 1. Let p(m) be the second derivative of 0*m**3 + 0*m**2 + 1\/3*m**4 - 156 + 2*m. Calculate p(g(i)).\nAnswer: 196*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1349\/7 + 193. Suppose -5*n = -2*n + 6*n. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 10. Let w be f(-5). Suppose w = -3*o + m + 20, 0*o + 4*o - m = 25. Are 4 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3749327 to two decimal places.\nAnswer: -1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Suppose 4 = k*n - n. Find the third derivative of 3*p**2 - n*p**2 - 3*p**5 + p**2 - 2*p**2 wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-14.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(44) + 0 - (sqrt(44) + 2 + sqrt(44) + -4)**2.\nAnswer: -182 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -7*t**6\/60 + 7*t**3\/3 - 5*t**2. Let k(l) = -l**3 + 1. Let a(z) = -j(z) + 12*k(z). Differentiate a(i) with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 4, 13, 38, 85, 160, 269, 418?\n\"Answer: s**3 - s**2 - 5*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 2*t - 2. Let z(l) = -2*l**2 + 3*l + 10. What is 2*g(f) + z(f)?\nAnswer: -4*f**2 - f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkkkv. Give prob of sequence kkv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*u = -268*u + c + 154, -c + 2 = 0 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*d + 23*d - 2*d**4 + d**3 - 4*d + 1 as p + x*d**4 + n*d + t*d**3 + r*d**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 21*x - 3*m, -63411*x = -63408*x - 5*m + 280 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(14)\/sqrt(18) + -4*sqrt(49)\/sqrt(7) + (sqrt(448) + (sqrt(448) + -2 - sqrt(448)))*-3 + 5.\nAnswer: -83*sqrt(7)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6748243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + (0 - -1))\/(-1). Suppose -11 = x*b - 1. Put 5, b, -5\/7 in decreasing order.\nAnswer: 5, -5\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*z = 4*n - 28, 3*n + 18 = 6*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 590 and 28202?\nAnswer: 141010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 5*r + r + (3*r + 0*r - r)*(0 + 3 - 1).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101222 - -1020012101?\nAnswer: 1011210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(17)*6 + -1 + -2 + 0 + 4 + sqrt(17) + 1)**2.\nAnswer: -476*sqrt(17) + 240741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 134*z**2 + 11*z - 1437. Determine g(134).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:16 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -219.4 - -234. Let m = 15.6 - z. What is the nearest to 0.3 in m, 0.1, -5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18877*j**2 + 12*j**3 + 18877*j**2.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -538\/117 + 54\/13. Suppose -3*n + 7*n + 5*l - 9 = 0, 0 = 2*n + 5*l - 17. What is the nearest to -0.4 in n, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.4 + 108956589218.\nAnswer: 108956589252.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6554501, -6554500, -6554499, -6554498, -6554497?\n\"Answer: n - 6554502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -15651575.2 to the nearest ten thousand.\nAnswer: -15650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -276 - -275.9999302. What is v rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(3) + -2*sqrt(3) + -1) - (-2*sqrt(3)*6 - sqrt(3)).\nAnswer: 1 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t + 66*t - 23*t + 11*t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -11, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3609335 rounded to four dps?\nAnswer: 0.3609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 3)\/((-10)\/(-555)). Which is bigger: v or -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150469.\nAnswer: 11, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287990.\nAnswer: 2, 5, 31, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away -751578464906?\nAnswer: 751578464892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3787 = 3788 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 9*q + 8. Let t be j(-8). Suppose t = 4*m - 3*m. Solve n - 2*s = -7, m*s + 8 = -4*n - 2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2. Let z(q) = 3*q - 11. Let i be z(5). Let x(m) = 2*m - 30 + 30 + i*m. Give x(w(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776981832 is divided by 1505.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25556 - -25551. What is the third biggest value in -1, 5\/4, -4, 115, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 18379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449\/27 - 2\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6117441349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:29 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.2, 3\/4 in decreasing order.\nAnswer: 1.2, 3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 - 66. Suppose 0*f = f - s. Let c be 51\/(-3) + (-3605)\/(-206) - 71\/(-2). Calculate the highest common divisor of c and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8592 + -8592.5. What is the nearest to 2\/23 in 0.2, n, 0, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3*a)*(a - 2*a**3 - a) - 3*a**2 + 3*a**2 - 2*a**4.\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73053.5 minus -8123097?\nAnswer: 8196150.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + b + b. Solve -2*l - l + 3 = b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 7098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (64 - -3) + 2. Suppose 3*o - 4*d = 32, 2*o - 4*d = -9*d + 6. What is the highest common factor of o and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -67, -119, -233, -433, -743, -1187, -1789?\nAnswer: -2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14*u**2 + 3*u + 1. Let l be o(-2). Let k = l - 29. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113615 divided by -3?\nAnswer: 113615\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0 - 15*j + 0*j**2 - 1\/6*j**3. Let k(l) = 4*l**2. What is k(d(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 6*d + 84, -4340*p = -4335*p + 5*d + 240 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3\/2 (b) 1\/31594 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 0 + 6\/3. Suppose -f = -w - 0*w. Let n(t) = -t**3 - 9*t**2 - 2. Let j be n(-9). Sort j, w, -5.\nAnswer: -5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 592 in decreasing order.\nAnswer: 592, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - 150. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5769, 11682, 17603, 23538, 29493?\nAnswer: 35474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1235\/52 + 51\/(-68)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*z = 12, 6 = -2*m - 3*z - 6. Suppose 0 = -5*j - 4*h + 32, 3*h + 3 = -m*j + 3*j. Solve -2*u + 3*u = -4*y + 16, -3*u - j*y + 24 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112141435014 + 0?\nAnswer: -112141435014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2373334994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 1745?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 63936834.72 to the nearest one thousand.\nAnswer: 63937000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -2. Suppose w*b - 59 = -49. Solve 0 = 2*x - 2*j - 10, -3*x = -j - 0*j - b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1395131080.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (72\/(-20))\/(2\/(-5)). Suppose d + 4 = 0, 6*h - 4*h - 208 = -3*d. Let o = h + s. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/5 - -7)\/((-1)\/(-10)). Suppose -219 - 4225 = -v*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/(-663)*(-66)\/(-154)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11368196 is divided by 68483?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -w + 7*x + 6775, 2*x + 33911 = 5*w. Suppose 13*y + w = 34*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 35. Let s be 4\/(l\/5)*1. Suppose s*d - 7*d = -330000. What is d rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (39\/(-12) - -3)\/(((-22)\/(-128))\/(-11)). Suppose 0 = 2*h - 2*j - 234, -h - 5*j + j = -92. What is the highest common factor of h and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 505.6, -2\/23, 0.4 in decreasing order.\nAnswer: 505.6, 0.4, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 49*s**2 + 52*s. Let l(r) = 58*r**2 - 164*r**2 + 92*r**2 + 52*r + 64*r**2. Let q(o) = 4*l(o) - 5*v(o). Find the second derivative of q(w) wrt w.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 3:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 470.622 - 59.352. Let c = 419 - w. What is c rounded to one dp?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r - 10. Let c(a) = a + 1. Determine 36*c(d) + 4*x(d).\nAnswer: 4*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-130)\/(-39))\/(4\/6). Suppose -a*f - 13 = -28. Solve f*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 4.92. Let p = 19 + -28. Let r = p + 6. Sort -1\/5, m, r in ascending order.\nAnswer: r, -1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, -258 in decreasing order.\nAnswer: 2, 0, -4, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.5 + -9. Let h = j + 3.5. Put 5, 0.2, h in increasing order.\nAnswer: 0.2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -34. Suppose g - 3*g = -20. Let k = y - g. Calculate the remainder when 23 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.9 + -38.1. Let x = 49.000074 + t. What is x rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 28. Let l be q(9). Suppose 3*o - 54 + 21 = 0. Let h = o - 8. Solve k - 5*v - 18 = h*k, -4*v = l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) + (-110)\/3. Let y = -10711 + 10755. Let a = y + p. What is the greatest common divisor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 2\/5 (b) -2 (c) -0.3 (d) -95 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8260087166 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31301331 + 1140?\nAnswer: -31300141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*s = 3503 + 263 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggnggggggggg. Give prob of picking 3 g and 1 n.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let j = 162 + -93. Let s(w) = -22*w**2 + j*w - 69*w. Determine u(s(m)).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvkbjvu. Give prob of picking 1 j, 1 u, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 1.5. Suppose -3*m = -12, 10 - 33 = -3*d - 5*m. What is the closest to d in h, -5, -3\/4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2568, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 612482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 11:46 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37192*n**2 + 39*n - 349 wrt n.\nAnswer: -74384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4671.5 + -4672. Put t, 1\/3, 21\/5, -28 in descending order.\nAnswer: 21\/5, 1\/3, t, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129 or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150106 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 3*m + 5. Let d be 7 - (3 - (3 - 1)). Let r be p(d). Let u(z) = z + 32. What is the tens digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100001 + -12?\nAnswer: 22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nonnnnennnnnnn. What is prob of picking 4 n?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 + 232*g - 92. What are the prime factors of l(29)?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1390*t - 1831*t + 5733 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.2, -1\/20, -45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 + 2*t**4 + 0*t**4 + (3*t**2 - 3*t**2 - 3*t**2)*(-4*t**2 + 2*t**2 + 0*t**2).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 40 = 5*i, -4*i - 8*c + 36 = -3*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 4 - 16)*(1 - 3 + 3)*(0*c - 3*c + c)*(3*c + 2*c - 7*c) to the form k + v*c + a*c**2 and give a.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 169058 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 + 17*k**2 + 3 - 4 + 34*k**2.\nAnswer: 63*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4666*l - 97916. Determine z(21).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 276804.28518 - 276802. Let z = -0.21222 - y. Let d = 2.5 + z. What is d rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 321*y - 72. Let c(v) = 88*v - 18. Let w(b) = 11*c(b) - 3*d(b). What is w(10)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2\/2 - 4206*j + 2948406 = 0.\nAnswer: 1402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:18 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1810 - -1816. Let c(r) = r**3 + 6*r**2 + 3*r - 9. Let w be c(-4). Solve g - x*g - w = 4*d, 0 = 5*g + 3*d + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**2 - 151620*l + 303260 = 0.\nAnswer: -30326, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -42\/5, -1\/4, -53, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d - 101*d**3 - 201*d**3 + 22*d + 10*d.\nAnswer: -302*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 799614 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44 times -10358004\nAnswer: 455752176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897264.\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.947111 days?\nAnswer: 513830390.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3602*d = 2214*d - 8328 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -297*d**2. Let p(b) = b**2 - 29*b**2 + 4*b**2 + 9*b**2 + 11*b**2. Determine x(p(v)).\nAnswer: -4752*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -15*b + 5. Suppose -54 = -b*z + 16. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 2634 = 2669. Solve -4*q = -n + 2, -c*q - 9 = -n + 3*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11807538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-91)\/(-28)*-1*4. Let o be (-2046)\/440 - (-2 - d\/5). Suppose -18 = 5*n + 2. Which is bigger: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171910?\nAnswer: 2, 5, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krr when three letters picked without replacement from grukru.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1104 and 0.09?\nAnswer: 99.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 296321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*k**2 + 5 - 9\/2*k = 0. Calculate k.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-24)*34\/(-153)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -51, -119, -215, -339, -491, -671?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 0*o**2 - 1\/4*o**4 - o + o**3 + 0 - 3\/20*o**5. Factor u(f).\nAnswer: -3*f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*0\/6. Suppose -2*n - 5*k = 12, 3*k = 4*n + 2*k - 20. Suppose 6*u - 2 = n*u. Solve f = h - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -557708 > -557705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 462360637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 u when three letters picked without replacement from rvvrlummvumm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692868?\nAnswer: 2, 83, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.08 (b) -1 (c) 2.4 (d) 5 (e) 1 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -5*o**4\/3 - 95*o**3\/6 - 36*o**2 - 60*o. Let l(d) be the first derivative of k(d). Find the first derivative of l(x) wrt x.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.87 - -0.17. Which is the third biggest value? (a) -2\/9 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 33*m = 24. Let q(r) = 7*r + 13. Give q(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.2. Let i = -1.4 - -1.37. Let t = i + 0.03. Which is the biggest value? (a) t (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 15*w**2 + 51*w + 292. Let l be d(-17). Solve 0 = -z + l*m - 0*m + 8, -5*m = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1011101111101100001101110101?\nAnswer: -1011101111101100001101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8.6, 0.4.\nAnswer: -2, 0.4, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 16) to base 5\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 227?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/25 + 7*m**4\/15 + 2*m**3 + 18*m**2\/5 + 10*m. Factor c(i).\nAnswer: 4*(i + 1)*(i + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*c**2 - 32*c**2 - 12*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -146 + 151. Suppose -v + 35 = w*t, -4*v - 20 = -0*v. Put t, -2, -16 in descending order.\nAnswer: t, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*o + 2, -4*w - 4*o - 8 = 0. Suppose w = 3*n - 8*n + 45. What is the highest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yykyyyyyyyyyyyyyyy. What is prob of picking 1 k and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 129968626499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = t - 1022, -2*v - 994 = 2*t - 3*t. Suppose j = t + 211. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -207091, -414461, -621831, -829201?\n\"Answer: -207370*s + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108919787?\nAnswer: 1117, 97511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**5\/20 + c**4\/4 + c**3\/2 + 88*c**2. Let m(j) = j**4 - j**3 + 5*j**2 - 10*j - 5. Let o(v) = 5*b(v) + 3*m(v). Factor o(r).\nAnswer: 3*r**3*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6584*g**2*i - 5321*g**2 wrt i?\nAnswer: -6584*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (920080\/26712)\/(25\/(-45))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y - 1 + 1 + 4 - 6*y**2 + 5*y**2. Let c be j(-7). Put 2, 1, c in decreasing order.\nAnswer: 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*c = -144*c - 8928. Solve 44*f - c = 75*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 26 = -2*n, 161*d + n = 164*d - 25. Calculate the least common multiple of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296294 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**8\/112 + 3*l**7\/35 + 2*l**6\/5 - 44*l**2. Factor v(i).\nAnswer: -3*i**3*(i - 8)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*w + 1 = -w, 5 = -3*y - 5*w. Suppose y = 2*q + q. Factor 0*f**2 + 1\/3*f**4 + q*f + 1\/6*f**3 + 1\/6*f**5 + 0.\nAnswer: f**3*(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23622, -47234, -70846, -94458, -118070?\n\"Answer: -23612*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24123514 (base 6) to base 7\nAnswer: -6304021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 10. Let y be v(-10). Suppose o + 5*i + 1 = y, -2*o - i = -5*i - 68. Is (-980)\/(-6) + (-8)\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 311746, 311747, 311748?\n\"Answer: s + 311745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:24 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-28)\/8 + 3). Let d(l) = -l**3 + l**2 - l + 3. Let z be d(q). Suppose z*x = x + 4. Solve 3*s = 4*w - 26, -5*s + 10 = 2*w + x*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.144931 minutes to milliseconds.\nAnswer: 548695.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by ((-48)\/(-64))\/((-12)\/(-448)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 13 = -v + 5*v, -14 = -4*p + 3*v. Let c be ((7\/p - 0) + -1)*5. Solve 0*o - o = -c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 5*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let f be v(2). Let l be (-2*1)\/(-2)*3. Let r = l - f. Let o(b) = b**3 - 5*b**2 + 2. Give o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (((-119)\/14)\/((-65)\/(-130)) - -67)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 4*i**2 + 1. Let n be b(-3). Suppose -4 = 3*s - n. Suppose 5*o - 116 = o + s*l, 0 = -o + 5*l + 20. Does 30 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6460.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 8. What is the second derivative of 2*a - 2*a - 5*a**2 - v*a wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1943 and 185513.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/9)*((c\/c**1)\/c*c*c)\/c)\/(c**(2\/5)*c)**(-2\/9)*((c\/(c\/(c*c*c**(-2\/7)*c))*c)\/(c\/c**(2\/15)))**(21\/2) assuming c is positive.\nAnswer: c**(301\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from pgjppgjvjjjjggg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = 0. Suppose b = -3*z + 3 + 12, -m = -4*z - 40. Let x be (-10)\/35 - m\/(-14). Solve -y - x*y = 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7600 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 5, n: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/11 + 329*q\/11 + 662\/11.\nAnswer: -(q - 331)*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-6))\/(t*(((t\/(t\/(((t*t**1)\/t)\/t)))\/t)\/t*t)\/t*t))**(-9)\/(((t**(-3\/2)*t*t*t)\/t**(-1\/4))\/((t*(t**(1\/13)*t)\/t)\/t**(2\/7))) assuming t is positive.\nAnswer: t**(-26557\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11542034 + -5?\nAnswer: 11542026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1b58 (base 15) to base 5\nAnswer: -142213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -6 + 3 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h + 10*h - 711 + 645. Which is the nearest to -3\/10? (a) -0.5 (b) 0.3 (c) h (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z + 27. Determine u(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 2:01 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1954 + 383*p + 1954.\nAnswer: 383*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 - -99da?\nAnswer: 9991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*v + 0 - 10 = 0, -a + v + 6 = 0. What is the third derivative of n**2 - 3*n**4 - 4*n + a*n wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 97, -79 in ascending order.\nAnswer: -79, 3\/5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 897, 870, 843?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2 - 33379192*g - 139271307321608 = 0.\nAnswer: -8344798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 0 + sqrt(75)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - 0 - (-20 + 23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40131 (base 7) to base 8.\nAnswer: -22713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/15 - 1668*q**2\/5 + 1391112*q\/5 - 386729136\/5 = 0. What is q?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 - (2 + 5 - 13)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a. Suppose 8*n = 4*n - 8. Let l(m) = 6 - 2 + m**3 - 3 + 4*m**2. Let w(s) = n*u(s) + l(s). Determine w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10647 + -115?\nAnswer: -10764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l*l*l**(1\/13))\/(l**(2\/5))**(-19\/3))\/((l**0)**(10\/11)\/(l**(-1\/2)*l*l**(-6))) assuming l is positive.\nAnswer: l**(-1907\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 654?\nAnswer: 654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 + w. Let m(j) = 40*j**2 + 5*j. Let d(a) = 3*m(a) - 15*s(a). Let p(g) = 4*g. What is d(p(x))?\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (6 + 50\/(-8)*2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33, -164, -387, -708, -1133, -1668?\n\"Answer: -f**3 - 40*f**2 - 4*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141.4293 + -3.3393. Let i = 138 - z. What is the smallest value in i, 2, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 155, 247, 359, 497, 667, 875?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*p + 235, 7*g - 5*g + 4*p - 100 = 0. Calculate the lowest common multiple of 4 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-21238)\/205)\/(((-2)\/5)\/2) and 16.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(700) + 1) - (-4 + sqrt(700)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.5 + -14. Which is the third biggest value? (a) m (b) 1 (c) 0.01 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 11 + 57 = -z, 2*z = u - 42. Suppose -m + 0*m = -u. Calculate the remainder when m is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -265\/16?\nAnswer: -265\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.1. Let n = -0.138 + 0.438. Which is the nearest to w? (a) n (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 0*h**2 + 1\/50*h**5 - 1\/105*h**7 + 0*h**6 + 0*h**3 + 0 + 0*h**4 - 3*h. Factor n(s).\nAnswer: -2*s**3*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 6*p - 900. Suppose -15*w + 12*w + p = 0. Calculate the remainder when 117 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 24. Let h be m(7). What is the second derivative of 48*x**h - 2 + 295*x - 11 - 297*x wrt x?\nAnswer: 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m)\/(m*m*(((m*m*m*m**13)\/m)\/m)\/m)*m**4\/m**(-1\/13) assuming m is positive.\nAnswer: m**(-51\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/408223 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + h - 2*r - 10, 0 = 5*h - 4*r - 14. Find the third derivative of -2*d**2 + 7*d**2 + d**4 + 0*d**2 + h*d**2 wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 988269076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in 0.1, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 3 (b) 7 (c) 851 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75.12 - -79.12. Which is smaller: j or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 6 - 4 - 33*b.\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 36 = -5*j - 4*l, j + l = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*r + 4*r = -93, -99 = -2*m - r. Which is bigger: m or 46?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -17*r**3 - 28*r**2 + 63*r - 18 = 0.\nAnswer: -3, 6\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -979 - -1482. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/6 - p**2 + 2*p. Let u = 60 - 67. Give t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11211120 - -1112?\nAnswer: -11210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 53. Suppose -p*a - 52 + 91 = 0. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g**2 - 54*g + 23. Give a(6).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6422\/(-13))\/(-19))\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71152643*f + 4227094?\nAnswer: -71152643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((w**2 + w - w)*(-4*w + 2*w + 4*w) + 2183*w + 1666*w**3 - 2182*w + 1229*w**3)*(4 + 0 + 2) to the form j + q*w + z*w**2 + l*w**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*f - 5*f + 1, 0 = 3*f + 2*a + 5. Let d(w) = -2*w + 5. Let q be d(-2). Let y = q + f. What is the greatest common factor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by 1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 35*l**2 + 21*l. Let b(f) = -204*f**2 - 119*f. Let a(t) = -6*b(t) - 34*x(t). Let c(o) = 100*o**2. What is c(a(r))?\nAnswer: 115600*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73610488 by -23884.\nAnswer: 3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 76*y. Let n(i) = 7*i. Let o(z) = 3*h(z) - 32*n(z). Let l(q) = -373*q**2 - 372*q**2 - 378*q**2 + 1512*q**2 - 377*q**2. Give l(o(x)).\nAnswer: 192*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 465613740 divided by -10\nAnswer: -46561374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/48)\/(19780\/(-276) - -71)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13*r + 14. Let h be t(4). Is h bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = w + 586. Which is bigger: -2807\/3 or w?\nAnswer: -2807\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:05 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -42, -81, -166, -315, -546, -877, -1326?\n\"Answer: -3*t**3 + 4*t**2 - 2*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(6\/(-240)*4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44413 + 44775. Solve 10*b + 422 - c = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (312\/(-117))\/(2\/(-1116))?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559 + 2249 = 79*l + 51*l. Solve 3*g + 11 = 2*y, -l*y - 4*g = -18*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 213 + -194. Suppose 13*q - 128 = -s*q. Solve -q*h + 3 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158\/15*d**3 + 46\/3*d**2 + 4\/15*d**4 + 76\/15*d + 0 = 0. What is d?\nAnswer: -38, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17791.214947 rounded to one decimal place?\nAnswer: 17791.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 541 and 99306501?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-11) - 52\/(-132))*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 76, 164, 294, 472, 704, 996?\n\"Answer: c**3 + 12*c**2 + 9*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0829 and -1092794479.\nAnswer: -1092794478.9171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**2 + 0*x**2 - 3*x**2)*(995*x - 538*x - 526*x) to i + l*x**2 + p*x + y*x**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 23 + 18 = -5*c + 65, 0 = -5*c + o + 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -2*j**3\/9 - 187*j**2\/15 - 148*j\/15 + 190. Find q such that o(q) = 0.\nAnswer: -37, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/40843 and 44\/63121?\nAnswer: 694331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -73, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -9400 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, -138, -286, -524, -870, -1342, -1958, -2736?\n\"Answer: -3*b**3 - 18*b**2 - b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 27*m + 146. Give u(-8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4\/10 + (-176)\/40. Which is greater: c or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-5103))\/(6*(-8)\/216)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 6 - -8) + 2. Which is smaller: z or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -14.4\nAnswer: 172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728 by 182.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/4 + 11*d**4\/4 - 9*d**3\/4 - 11*d**2\/4 + 5*d\/2 = 0. What is d?\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72034 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 - 6*h + 11. Let x(z) = 4*z**2 + 3*z - 5. Let u(d) = -3*n(d) - 5*x(d). Determine u(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = m, 0*m + 17 = -4*m + 3*s. Suppose 5 = 4*d - 3. Let x(r) = 7 - 16*r**d + 7*r + 9*r**2 + 8*r**2. What is x(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r - 10. Suppose -3*p = -r*u + 1 - 13, 3*u = 0. Find the third derivative of 2*x**3 + 4*x**2 + x**3 - 6*x**3 + p*x**3 wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-14 + 1 - -28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24*1\/(-36))\/(5*(-3)\/(-9)). Let d be 5\/5 - 0\/(-1). What is the nearest to d in -1, -1\/84, q?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, and 1 d when three letters picked without replacement from {g: 2, w: 9, y: 1, d: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21596973 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, s: 1, k: 1, u: 1, h: 2}. What is prob of sequence ku?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3726\/333 - 11)\/((-2)\/64)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1249, -3290, -6089, -9616, -13841, -18734, -24265?\nAnswer: -30404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-20) - (-147)\/70. Solve 2*m + 5*w = -23, j*m - 3*w - 12 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1926*n. Let s(w) = 1 + 0 + 11 + w - 12. Calculate v(s(f)).\nAnswer: 1926*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 - 112 + 58 + 0*p**3 - p**3 + 0*p**3 + 5*p**2 in the form b*p**2 + q*p + a*p**3 + o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -540, -2213, -5000, -8901, -13916?\n\"Answer: -557*w**2 - 2*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65, 52, 31, 2, -35, -80, -133?\n\"Answer: -4*b**2 - b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 14*u**2 + 12*u + 9. Let y be d(13). Let h be 1*-1 - (y + 3). Suppose h*m = m. Solve 0 = -n - m + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 174*a - 31. What is u(0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 j, and 1 e when four letters picked without replacement from {v: 2, j: 3, e: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 309\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 31813*b - 381765. Calculate t(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 m when three letters picked without replacement from {u: 1, m: 18}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -3 + 8 - -2) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 17 = d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 7*i - 5. Let q(f) = -f**2 + 1. Let a(j) = -j**2 - j + 1. Let t(m) = -3*a(m) + 2*q(m). Let z be t(-5). Is 13 a factor of k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + -3 + sqrt(13) + 1)**2 - (-3 + (sqrt(13) - (sqrt(13) + sqrt(52)\/sqrt(4))) - (4 + sqrt(117) - sqrt(13)))**2).\nAnswer: -112*sqrt(13) - 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 + -2232?\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*w = -s - 489*w - 489*w + 32, 3*s + 2*w + 69 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 - 55*b**3 + 56*b**2 = 0. What is b?\nAnswer: -56, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 232. Let a = h - 239.58. What is a rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116636.\nAnswer: 2, 13, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4019745 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3447952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0678 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5}. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960*c = 962*c. Solve -n + 5 = -c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, -2\/11, 3181223 in decreasing order.\nAnswer: 3181223, 3, 1\/4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6)*-4 + (-48)\/(-72). Solve 4*p - 2*f = 8, -4*p = u*f - f - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let g = -27 + 31. Suppose g*m = -2*s + 36 + 12, -3*m = -5*s - 36. Let u(w) = m*w**2 - 7*w**2 + 11*w**2. Calculate t(u(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 19 (b) 0.1 (c) 10\/3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 5)*((6*m**2 - 3*m**2 - m**2)*(m**2 + 3 - 3) + (m**2 + m**2 - m**2)*(-m**2 + 2*m**2 + m**2)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o*o)\/(o\/((o**10*o)\/o)))**26 assuming o is positive.\nAnswer: o**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1743, -1738, -1733, -1728, -1723, -1718?\nAnswer: -1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Suppose 0*z = i*z - 20. Solve 0*f**4 + 0*f**2 + 2\/5*f**3 - 1\/5*f + 0 - 1\/5*f**z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-78 + 1)*(-12)\/14. Let b = -74 + 33. Let c = b + l. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n*n**(-9\/5))\/n)*(n*n\/(n*n**24)*n)\/n*n*(n**(-9\/5))**(-18\/17))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (1\/(-1) + 1 + -27)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 + p**4 - 3*p**3 + (-4 + 7 - 4)*(-1 + 2 + 0)*(0*p**3 + 8*p**4 + 0*p**3) to the form q + v*p**3 + t*p + c*p**4 + h*p**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*c**4 + 549323*c**3 + 168396346*c**2 wrt c.\nAnswer: 1680*c + 3295938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y + 166. Determine r(-39).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0 + 0*n**3 + 3*n - 1\/12*n**4 - 3\/2*n**2. Find the first derivative of w(v) wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -362445*p**3 - 275724*p**2?\nAnswer: -2174670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(-1))*g\/g**(-1\/9) assuming g is positive.\nAnswer: g**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x - 11*x + 28*x)*(0 - 1 + 0)*(-4*x + 4*x**4 + 4*x).\nAnswer: -124*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/10, -2\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a94 (base 11) in base 7?\nAnswer: 155125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3459279, 13837117, 31133515, 55348473, 86481991, 124534069, 169504707?\nAnswer: 221393905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 15322765*v**3 + 91936710*v**2 + 183873500*v + 122582360.\nAnswer: -5*(v - 3064559)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 12:35 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Suppose u = -5*v + 25. Let y = v + 21. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 2473?\nAnswer: 2473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5214\/711 - (-388)\/(-54)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1679\/(-949)*-39)\/(6\/(-8))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 5:37 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.3. Let a = 0 - m. Let o = -84 - -586\/7. What is the nearest to -1 in a, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 - 77. Suppose -x + m = 8. Suppose 2*l - x = 20. What is the remainder when 137 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 4630162590.7\nAnswer: 4630162590.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3\/13 (c) 2\/11 (d) 2 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-33)\/(-12)))\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 11*u + 12 = -12*u - 38, -8 = 4*a - 4*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26573 divided by 6?\nAnswer: 26573\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112623.\nAnswer: 3, 7, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01786 rounded to 4 decimal places?\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 + n**2 - n - 1. Let g be f(-1). Suppose 0 = 3*d + 3, 2*p = -g*p - 3*d + 27. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 19 = 5*g, -1229*g + 1224*g = 3*x + 28 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeee when four letters picked without replacement from qtqeeeeqeqqeeqt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 + 0) - (-60 - (-37 - 17))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 0.05 (c) -2 (d) -12\/7 (e) 0.06 (f) 1438\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 3) to base 10\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/114390 and 133\/30504.\nAnswer: 457560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a + 35. Let w be x(19). Let b = -36 - w. Solve 0 = b*o + 4*h - 7, 0 = -5*h + 5 + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 410\/14 + (-6)\/21. Let q = 56 - h. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*z**2 - 11*z**2 - 224*z + 222*z + 307*z**4 + 30*z**2 - 1 to r + q*z**3 + s*z + f*z**2 + y*z**4 and give y.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l*r**5 + 9599*l*r**2 + 48635*r**5 - 7*r**2 wrt r?\nAnswer: -120*l*r**2 + 2918100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-4 + -4 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407 (base 8) to base 6.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 11 - 7*z - 9 + 0. Let p(y) = -10*y - 4. Let q be p(-1). What is h(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 32*t + 6. Let r be h(16). Let a be (-21)\/2*(-4)\/28. What is the biggest value in 1, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-849)\/2264*(-24)\/(-69)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, 35642.7, 21.7, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -57, -0.3, 1\/3, 34\/21 in ascending order.\nAnswer: -57, -0.3, 1\/3, 34\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 6*q**3 + 57*q**3 - 2*q**3 + 71*q**3 as a + f*q**2 + c*q**3 + o*q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1980)*-5)\/(sqrt(405)*3).\nAnswer: 20*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z + 12. Let u = 1456 + -1453. Let y(m) = -7*m + 12. Give u*n(k) - 2*y(k).\nAnswer: -4*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 31 + (-1 - (0 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*i**2 - 511*i**2 + 1021*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 24, 71, 138?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 615940?\nAnswer: 615940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = x - 0*x - 19, -5 = 5*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/8 - 239*y**2\/8 + 1661*y = 0.\nAnswer: 0, 88, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -33139 divided by 2?\nAnswer: -33139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 2*f + 1. Let a be u(-3). What is q in -a*q**2 + 8\/3 - 28\/3*q**3 - 4*q = 0?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**3 - 18620440*c**2 - 37240868*c - 18620432 = 0.\nAnswer: -4655108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v = -41*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096017 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(147) + (3*(sqrt(147) + 0))**2).\nAnswer: 21*sqrt(3) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**0*j))**(-2\/15)*(j**(-1)*j)**(20\/9))\/(((j**7\/j)\/j)\/(j*(j\/(j**(-2\/7)\/j))\/j)*j**2\/j**(4\/3)) assuming j is positive.\nAnswer: j**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87429173*i**2*k**2 + 9*i**2*k - 7456*i*k - 2*k**2 - k + 127 wrt k?\nAnswer: 174858346*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32911984 a multiple of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Suppose -6*i = -i - 25, 0 = 4*b + v*i - 112. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/12*(-2)\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - 3*c**2 + 2. Let o be w(2). Suppose -3*v = -2*x - 14 - o, x = 2*v - 18. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 25 - 3*i**2 - 56.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.55246402 to one dp.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311 (base 5) to base 8.\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -41. Let p = 14 + a. Let d = -1 - 0. What is the smallest value in p, d, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)*-2 - sqrt(70))\/(1*sqrt(10)*1).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 6. Let r = -9 + 5. Let f be j(r). Let g(c) = -3 - 9*c + 5*c**2 - 4*c**f + 15*c. What is g(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3815, 7625, 11435, 15245, 19055?\n\"Answer: 3810*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-105*j + 50 - 50)*(0*j + 0*j + 2*j) + 4*j - 2*j**2 + 2*j - 5*j)*(16*j**3 - 4*j**3 - 8*j**3).\nAnswer: -848*j**5 + 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 6, 27 - 41 = -d + 5*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 6*g**2 - 2194*g - 15310. Give w(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 80500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i - 18*i - i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1040 (base 5) to base 14\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -32. Let j = a - -7. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 34. Is b(16) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**1)))**(-4\/21)*((y*y*y**0)\/y)\/y**(-7))\/((y**(-7)\/(y*y**4*y))\/(y*y**(-4)*y**(-2))) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48.032 and -13.345099.\nAnswer: 34.686901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65519459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 11 + 5\/2*q**2 - 1\/4*q**4 + 5*q + 5\/3*q**3. Let h(o) = 2*o**3 - 12*o**2 - 12*o - 12. What is -5*h(j) - 12*p(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-36) - 0) + (-2008)\/(-672) + 720\/(-252)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 * -21827\nAnswer: -21.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 166*i + 2. Let j be s(-2). Let t(l) = -2*l**2 - 10*l - 55. Let c be t(-10). Let o = c - j. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*a + 70*a + 2*a**2 + 37*a**2 - 194*a + 57*a.\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 12) in base 14?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2\/(-3*(-6)\/(-9))). Let k = -3.6 - -7. Let u = k + -3. Sort u, 4, f in descending order.\nAnswer: 4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 - 28*g**2 + 5*g - 16. What is f(14)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 49*t + 6. Let c be m(25). Let n be -6*(-7)\/(-252)*(c - 1). Find b, given that -16\/3*b**4 + 4\/3*b**2 + 0 - 2\/3*b**3 - n*b**5 + 0*b = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + p - 55 = 4*l, 0 = -p - 5. Let c be (-3)\/l + 9\/4. Factor -1\/3*a**c + a - 2\/3.\nAnswer: -(a - 2)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13022 - -13020. Which is the biggest value? (a) 82 (b) -4 (c) u (d) 0.3 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96734, -96968, -97200, -97430?\nAnswer: -97658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16550 and 9930?\nAnswer: 49650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/20 - z**4\/12 + z**3\/6 + 624*z**2. Let w be (5 - 2)\/(2 - 1). Calculate the smallest common multiple of i(w) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 0, -3\/5, 28, 15.\nAnswer: -3\/5, 0, 0.2, 5, 15, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80000 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23468192?\nAnswer: 2, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -97, -492, -1511, -3454, -6621, -11312?\n\"Answer: -50*c**3 - 12*c**2 - 9*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17264 in 1\/124, -0.4, -1?\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 5*q + q)*(-2 + 2 + 2*q) + (-q + 3*q - q)*(q + 3*q - 2*q).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 3. Let r be q(0). Suppose k + 8*u = r*u - 11, -16 = -k + 4*u. Suppose 0 = -o + 4*o + 5*w - k, 5*w + 8 = o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 2. Let a(i) = -5*i + 3. Let y(f) = -4*a(f) + 9*r(f). Let l(j) be the first derivative of 2*j**2 + 11*j + 1. Determine -6*l(g) + 11*y(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r - 187. Let h(a) = 7*a + 379. Determine 6*h(p) + 11*w(p).\nAnswer: -2*p + 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095195 less than -1?\nAnswer: -2095196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1220 and 221880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 21*d**2 + 12*d + 24. Let b be i(-10). Let o be b + (5 - (4 + -6)). Solve 0*q + 3*w - o = -2*q, 3*q = -5*w + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:58 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 749*d**3 + 1493*d**3 - 7*d**4 - 743*d**3 + d + (2*d**4 - 2*d**4 - 2*d**4)*(1 + 2 - 4).\nAnswer: -5*d**4 + d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-15 + 17 + 14 - -18)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*w + 115*w = 37944. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 divided by 340823?\nAnswer: -30\/48689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(27\/(-15)*15\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/9)\/(394\/(-4)). Let z = -380\/4137 - j. Let k = -5 + 5.3. Which is the smallest value? (a) k (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 2*c**3 + c**3 + (5*c + 0*c - 3*c)*(0*c**2 + c**2 + 0*c**2) + 0*c**2 + 0*c**2 + c**3)*(0*c + c - 3*c).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 27*f**2 + 540*f + 3. Let m be g(-20). Sort -11, m, 16 in descending order.\nAnswer: 16, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*y**2 - 205*y**2 + 31*y**2.\nAnswer: -255*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.2 (c) 0.5 (d) -8\/5 (e) 848\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 1313731.\nAnswer: -8\/1313731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -13. Let z(j) = j**2 + 7*j - 13. Let l be z(f). Suppose 0 = l*p - 6*p. Solve -2*k = -3*y - 13, 4*k + 7 = -5*y - p*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 19, -13, -0.5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28770 + 30095 = 2195*l - 97450 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -14.5. Let i = 10 - 12.9. Let z = 3 + i. Is v > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(117) + -1)**2 + 3.\nAnswer: -6*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 144 + 71 - 5*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 2*h. Let s(c) = 3*c**2 + 18*c - 3. Calculate -8*a(d) - s(d).\nAnswer: -35*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) -0.1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179147 is divided by 87460.\nAnswer: 4227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1243123\/45 + -27621. Let k = w + -32\/9. Factor 0 + 4\/5*z + k*z**2.\nAnswer: 2*z*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 6*g**2 + 7*g + 6. What is the tens digit of m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -247*l. Let z(q) = -q + 27531. Determine z(k(y)).\nAnswer: 247*y + 27531","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138158 + 138158.00000059599. Round j to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 - 5. Let j = -1 - 1. Let f = j - -2.1. Sort -4, o, f in decreasing order.\nAnswer: o, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3533 - -21197\/6. Let x = -60 + 298\/5. Let v = 0.2 - -0.3. What is the closest to -2 in p, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3419, -3, 91, -13, 0 in decreasing order.\nAnswer: 3419, 91, 0, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - o = -8*r - 20, -4*r + 4*o - 32 = 0. Let s be (-4)\/r*33\/22. Which is the nearest to 0? (a) 1\/2 (b) s (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 668, 778, 882, 980, 1072, 1158?\n\"Answer: -3*h**2 + 119*h + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0*g - 13*g + 0*g. Let q(p) be the second derivative of -p**4\/3 - 6705*p + 2. Calculate i(q(b)).\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9366?\nAnswer: 2, 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + (sqrt(242) - (-2*sqrt(242) - sqrt(242))))**2 + sqrt(24)\/(5*(sqrt(108) - sqrt(12) - sqrt(12)))).\nAnswer: -19380 + 879*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -817239, -1627922, -2438593, -3249246, -4059875, -4870474?\nAnswer: -5681037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2923570.\nAnswer: 2, 5, 13, 43, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 12, 21, 14, -21, -96, -223, -414?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.5322274t?\nAnswer: 532.2274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 m when four letters picked without replacement from {m: 9, i: 1, v: 2, k: 3, c: 1, t: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6562.546 millennia?\nAnswer: 65625.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -82*d - 81*d + 361 - 88*d - 107*d + 343*d. Calculate f(25).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - 288 = 0. Suppose k - 529 = -5*w. Suppose -2*h - 2 = 6, -3*c = 4*h - w. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 98, 100?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*k + 421*k = -75656. Let u = -26749 - k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213000 rounded to the nearest 10000?\nAnswer: -1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 7*l**2 + 2*l - 3. Let w(b) = 3*b**2 - 15*b + 42. Calculate the remainder when q(5) is divided by w(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/12)\/(-5))\/((-31)\/(-217))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 3*c - 2*v, 2*c - 2*v = -7*v - 37. Let i = c + 30. List the prime factors of (-22)\/(-66) + 98*i\/(-3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(69 - 9) + 17\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbo when three letters picked without replacement from {t: 1, b: 4, o: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b + 50 - 380 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d + 30 - 30 to v*d + p and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4082*r**3 - 1514*r**3 - 1874*r**3.\nAnswer: 694*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3, -5 - 1 = x + 2*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5 - 1 = -2*x, -38 = -67062*x + 67068*x + a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0219, -10.6, -0.246 in descending order.\nAnswer: 0.0219, -0.246, -10.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -36, -65, -102, -147?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10f (base 16) to base 13\nAnswer: 17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*d - 0*d + 21. Let u(h) = 59*h + 61. Let z(v) = v - 2. Let s(f) = d*u(f) - 6*z(f). Find the first derivative of s(i) wrt i.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 27 - 11)*(4 - 5 + 3)*(0*n + 0*n + 2*n) as f*n + i and give f.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**3 + 2*f**3 + f**3)*(-2 - 9*f + 2)*(1 + 4 - 4) to the form x*f**2 + g + h*f**3 + b*f + o*f**4 and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41155962 less than -66.014?\nAnswer: -41156028.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 235440415 (base 6) to base 14\nAnswer: 8447b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 139 + 107, 927 - 153 + 374 = 2*u - 13567*k + 13553*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) 1 (c) -2.6 (d) 31 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-11 + 8 + (5 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2911, -2918, -2925, -2932, -2939?\nAnswer: -2946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13024.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4116916602?\nAnswer: 2, 3, 23, 1237, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-514)\/(-68876) + (-10718)\/(-268).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/147*1*(-4)\/(-2)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 19*l**2 + 7*l - 14. Let s be g(-10). Suppose s*k = 41 + 39. Solve -10*o + k = -11*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18752 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 4*b**2 + 3*b + 2. Let i be t(-3). Let g be (-1 - -3)\/(-1 + i). What are the prime factors of 9 + 0\/(-1 - g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + s**2 + 0)*(-260*s + 226*s + 2 - 4 - s**2) to u + n*s**3 + m*s + v*s**4 + c*s**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-3)*(-15)\/(-10). Let t be (4 - (-12)\/(-4))*c. Solve 3 + t = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s + 9 - 11*s + 8*s + 5*s. Let t be o(-9). Let b = -42 - t. Let p(v) = v**3 - 3*v**2 - 2*v + 2. Determine p(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 s when four letters picked without replacement from sssnsnssqqsssss.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*a**6 + 16*a**5*s**2 - a**2 - 712*s**2 wrt a?\nAnswer: 7080*a**3 + 960*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11*z**3 - 15*z + 13. Let h(f) = -5*f**3 - 7*f + 6. Give 6*a(x) - 13*h(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/1741 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3244 (base 13) to base 2\nAnswer: 1101101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 0*k**3 - 2 + 3 - k**3 + 2. Let b be f(0). Suppose b = -2*w + 25. Calculate the least common multiple of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6190291 = -4*x + 2030286, -4*x + 4*z - 4160004 = 0. Round x to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661485 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-55))\/(9\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20\/707 (b) -1.3 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1767 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12121110 (base 3) to base 9.\nAnswer: -5543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.4 - 6.5. What is u rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -2 (b) -8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7214 - 596. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -23*a - 123. Let i be t(-21). Calculate the common denominator of (-2)\/i*443 + (-74)\/185 and 139\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7017 is divided by 1402.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1103*y + 965*y - 1303 + 5389 = -1434 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282615 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965.034 rounded to the nearest integer?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -757 divided by 50289.\nAnswer: -757\/50289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44185107*n**3 + 22092555*n**3 + 22092545*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -940 - -1512. Let u = v + -569. Solve -3*o - u = -4*k - 0, 3*k - 18 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 463 and 3.\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n**3 - n)*(0*n + 2 + 2*n - 1).\nAnswer: 6*n**4 + 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 14*d + 16. Let g be i(-13). Let a be (1432 - 1 - g)*3. Let h = 47081\/11 - a. Find the common denominator of -81\/2 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 157211776?\nAnswer: 157212003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + c - 1. Let o(h) = 5*h**2 - h. Let y be o(1). Suppose -y*l + l + 6 = 0. Give j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 3*g - 3, -5*g = 4*o - 5. Suppose -2*i + 282 + 46 = o. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -138 and -5?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 177 + -350. Let n = 256 - w. What are the prime factors of n?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -9*y + 2*y + 4*y - 36, 4*l - 3*y = 2*y + 30 - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -915952, -1831903, -2747858, -3663817, -4579780, -5495747, -6411718?\n\"Answer: -2*o**2 - 915945*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - h. Is s(-7) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s + 16. Suppose 3*m = 3*k + 2*k + 30, 0 = 2*m - 10. Sort s, -5, k in decreasing order.\nAnswer: k, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 8. Suppose -8 - y = 4*j. Let r be 5\/(15\/(-6)) - j. Solve r = 3*x + 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 216555\/892 - 11\/446. Let n = f - 1198\/5. Calculate the common denominator of -1\/14 and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 136, 462, 1094, 2134, 3684, 5846?\nAnswer: 8722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 1. Let o be m(-5). Let q = -4 + o. Solve 0*a - q*a = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43227479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zztngtwgwzgwztznwnz. What is prob of sequence wzz?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = 6*u. Let h = -3 - u. Suppose -3*j + 8 = -1, 0 = h*t + 5*j - 31. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 6*k - 23*k + 7*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6.2. Let i = p - -0.5. Sort -3, -5\/2, i in descending order.\nAnswer: i, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10831 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 59*m**2. Let k(r) be the first derivative of 3*r**2\/2 + 58. Determine v(k(a)).\nAnswer: 531*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 402?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 1, 0.9, 2, 4\/791, -3?\nAnswer: 4\/791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (408\/(-4420))\/((-2)\/5).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/4 + 5*o**3\/3 - 12*o - 869. What is j(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 5*b + 5, -2*p + 21 = b. Suppose 8 = 3*a + 5*g, -4*g = -3*a + 6*a - p. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 988022.\nAnswer: -296406.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3510 - -1512?\nAnswer: -1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (105386\/(-92))\/29*2\/1*(-1)\/(-1)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 96107041*f - 1.\nAnswer: -96107041*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -181, -406, -779, -1342, -2137?\nAnswer: -3206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318680315 to the power of 1\/2, to the nearest integer?\nAnswer: 17852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216 - -216.868. Round b to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18\/(5*(-8)\/(-140))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786 = -11*z - 643. What is the lowest common multiple of z and 1781?\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32a40 (base 16) to base 13.\nAnswer: -73549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116*g**2 - 116*g**2 - 12*g**4 + (-g**4 + g - g)*(3 - 5 + 1) + g**4 + g**4 - 4*g**4 + 4*g**4 - 2*g**4 + 0*g**4.\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 24*f - 9*f - 11*f - 5*f. Let j(h) = -h**2. Determine k(j(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/22 - ((-6303688)\/(-880) + 0). Let j = 7153 + g. What is the common denominator of j and -97\/206?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (-806 - -795).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13129 (b) -21 (c) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from ooriioiriririoo.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1.01. Let y = -0.41 + p. Let x = 3.5 + -4. What is the nearest to -2 in x, 1, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 2*g + 3. Let i = -968 + 603. Let z = i + 362. Give h(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87189747 by 29.\nAnswer: 3006543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -22, -47, -80, -121, -170, -227?\n\"Answer: -4*z**2 - 5*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -3*p**5\/40 + 7*p**4\/48 - p**3\/24 - 14*p - 1. Factor a(s).\nAnswer: -s*(s - 1)*(6*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c - 54. Let u be 2\/((c\/(-60))\/9). Suppose 4*t + t + 3*i = 108, -2*t + u = 2*i. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606584 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246 - (-1)\/((-3)\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**3*t**3 + 4*d**2 - 2*d*t**3 + d*t + 2880*t**3 wrt d?\nAnswer: 9*d**2*t**3 + 8*d - 2*t**3 + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 + 197.79. Let l = j - 0.44. Let m = 0.55 - l. Which is the nearest to m? (a) 2 (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 3:37 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m)**33)**(1\/40) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 0.203 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-4 - 1))\/(-4). Let h(d) be the third derivative of -1\/240*d**5 - 1\/840*d**7 - 2*d**2 + u + 0*d**3 - 1\/240*d**6 + 0*d + 0*d**4. Factor h(i).\nAnswer: -i**2*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 464*c**3 + 5*c**3 + 8 + 115*c**3 + 7*c**3 - 10 - c**2 to the form f*c + a*c**2 + y*c**3 + l and give y.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose 9*s + 14 = 5. Let f be 4\/(-10)*s*10. Is g at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-204)\/320)\/(96\/(-896)) and 71\/680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 639\/835 + -61\/167. Sort -0.069, 4, v, 1.2 in descending order.\nAnswer: 4, 1.2, v, -0.069","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3\/2 + 36567*w**2\/2 + 111264057*w\/2 - 1004340627\/2 = 0.\nAnswer: -6099, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**4 + 76*r**2 - 238*r**2 - r**6 - 21*r**6 - 3*r**4 wrt r?\nAnswer: -2640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 578053, -1, 131 in decreasing order.\nAnswer: 578053, 131, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o + 3. Calculate p(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3699695?\nAnswer: 5, 31, 23869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/3 and -81\/12830.\nAnswer: 38490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 17*y**2 + 29*y - 13. Let x be p(-15). Find the second derivative of -2 - 13*c + 37*c**x + 11*c + 2 + 1 wrt c.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/48*1 - (-110)\/(-132). Let b be (-2)\/((352\/349)\/(-2)). Let u = b + c. What is the common denominator of u and 61\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 7 - 4*d - 2 + 6*d. Let a(x) be the third derivative of -2\/3*x**3 + 0 - 1\/8*x**4 + 2*x**2 + 0*x. What is -5*a(j) - 4*v(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 + -3. Let s = -0.05 + 0.05. Let o be 9*(-4)\/(-24) - 2. What is the closest to c in -3, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196.07*-0.0055.\nAnswer: -1.078385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4 - (-4)\/(-8))\/1. Solve -v - 3 = -k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + t - t = 0. Suppose t = -8*d - d + 63. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109333.9ml to litres.\nAnswer: 109.3339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 21*z**2 + 19*z - 39. Calculate d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33416, 66784, 100152, 133520, 166888?\n\"Answer: 33368*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 1 - 6 + 1 + 34*m - 30*m. Determine r(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/467, -0.3, -6, 3, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378 by 9.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*x**4 - 1274 + 2531 + 2*x**2 - 1269 as y*x**2 + u*x**4 + n*x**3 + t*x + a and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*x + 24521 + 3783, 0 = 2*l - 2*x - 14176. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-45)\/(-10))\/(2\/(-12)). Let g = 39 + w. Let m be (123\/g)\/(1\/(-2)). Are -22 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -413 - -493. Calculate the highest common divisor of r and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4. Let t(z) = 7*z + 99. Let n be t(-14). Sort p, n, -2 in increasing order.\nAnswer: -2, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 909797 divided by 15\nAnswer: 909797\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of (-27*(0 - 26))\/((-20)\/(-70))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Suppose -3*x - 20 = -u*h, -5 = -3*h + 2*h. Suppose 5*p - 2*p - 33 = x. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by -5.\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6108 (base 9) to base 11.\nAnswer: 3398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 40, 56, 72, 88?\n\"Answer: 16*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 21 - 13 + 5. Suppose -4*f + 3*c - 31 = 0, 2*c - 28 = 2*f - 2*c. Let a be p(f). Calculate the greatest common factor of a and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 2*v**2 + 2*v**2)*(0 + 0 + 1) + (0 - 7 - 8)*(-2*v**2 + v**2 + 0*v**2).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 957.215 nanometers?\nAnswer: 0.000000957215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228 - 227. Let i(v) = -2*v - 1. Let q(o) = -11*o - 6. Let j(d) = k*q(d) - 6*i(d). Let g(m) be the second derivative of m**3\/2 + m. What is g(j(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/35 + (-4)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 1. Let h(w) = -5*w. Let v(i) = 3*h(i) + 4*x(i). Let u(y) = -2*y + 13. Let n be u(4). Suppose n*s = 18*s + 39. What is v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2))**23\/((z\/z**(2\/11))\/(z**4*z)))\/((z**(-1))**(-48))**35 assuming z is positive.\nAnswer: z**(-37121\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*x + 241*x + x**3 + 8*x**2 + 142*x + 202*x to the form h + p*x**3 + z*x + n*x**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.5. Let n = 20 + -16. Let k = 196 - 1370\/7. What is the second biggest value in k, n, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.5121 (b) -84 (c) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3652 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -1, 5, 594 in decreasing order.\nAnswer: 594, 12, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 12, 0*f - 8 = 4*d - f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335510 (base 6) in base 9?\nAnswer: -124056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34084941 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13596\/54 - (-4)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*k**2 - 27*k**2 + 12*k**5 + 10*k**5 + (k**4 - k**4 - 3*k**4)*(0 + 0 + k).\nAnswer: 19*k**5 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -95, 0.5, 0 in increasing order.\nAnswer: -95, -0.1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/6 - 23*o**3\/6 + 15*o**2 - 105*o. Let z be d(-12). Calculate the highest common factor of z and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*y = 403*y + 1510. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1, -5, -662, 29 in decreasing order.\nAnswer: 29, 25, -1, -5, -662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26925, -53823, -80697, -107535, -134325, -161055?\n\"Answer: 2*d**3 - 26912*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84.073 - -0.073. Let n = -4610 + 4529.44. Let q = n - g. What is q rounded to 1 dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25\/12 - -11\/6. Let w = 110\/657 - -4\/73. Which is the nearest to n? (a) w (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 7.07?\nAnswer: -7.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45919444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.20462 + -14.\nAnswer: -14.20462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -92 and -9330459976.\nAnswer: -9330460068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116 - 109) + (4 - 2 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 6336.\nAnswer: -25\/6336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -678 or -661?\nAnswer: -678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + q**2)*(q - q + 2*q)*(-4*q + 13*q + 3 + 1) as l + j*q**4 + s*q + t*q**3 + x*q**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 16 - 44 = 5*q, -18 = -2*j + 5*q. Suppose 2*t + 5*r + 8 = 0, -t - r = -5*r - 9. What is the smallest common multiple of 15*t - (-6 - -7) and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Let u(w) be the first derivative of -w**2\/2 - 9*w - 4. Let d be u(-12). Solve 0 = d*s - 5*h + 4*h + 10, 2*s - g*h = 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53, 64, 61, 38, -11, -92?\n\"Answer: -y**3 - y**2 + 21*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 20*l + 152. Let d = l - -42. Solve 4*b + 24 - d = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767448911 to the power of 1\/4, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.057 - 3.057. Which is the closest to 174? (a) q (b) -1\/3 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3541 + -1233. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3))**23\/(r*r**(-1\/2)*r*r\/(r**(2\/3)*r)))\/(((r**2\/r)\/r)**(-46))**(2\/107) assuming r is positive.\nAnswer: r**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/12 + 4*i**3\/3 + 6*i**2 - 2*i + 150. Factor z(u).\nAnswer: (u + 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/468 and 83\/480.\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8229 - 0.83. Round h to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14343.\nAnswer: 3, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 2*b**2 - 4*b + 7. Give z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*d - 5, -3*d = h. What is the highest common divisor of 10 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 845058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:39 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 29 + 1 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 927 = 930 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3726, -7598, -11466, -15330, -19190?\nAnswer: -23046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, g: 6}. What is prob of sequence xxx?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 108, 2, -5, 0 in descending order.\nAnswer: 108, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p)**(-15\/8)*(p\/(p\/(p*p**1)))**(2\/73))**3 assuming p is positive.\nAnswer: p**(-3189\/584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-9))\/1)\/((-32)\/(-12)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120122477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*w = -874*w - 34076 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:02 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 w when three letters picked without replacement from {v: 3, w: 8, b: 5}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let a = 32.15 + -32. Let j = 0.25 - a. Sort k, j, 7 in descending order.\nAnswer: 7, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21331331122 (base 4) to base 16.\nAnswer: -27df5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*m - 1657, -11*m + 662 = 2*o - 12*m. Let b = 333 - o. Which is smaller: 5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5209)\/(-5) - (-4)\/20. Suppose 5*o + 342 - v = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1108 and 4.\nAnswer: 4.4432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7241.428 milligrams in tonnes?\nAnswer: 0.000007241428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 20 = -0. Suppose 0 = -2*m + m - o. Let u(l) = -l**2 - 5*l - 2. What is the units digit of u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24452433 (base 6) to base 15\nAnswer: -10776c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose -g + 2*v - 4 = 0, -g - 4*g = -3*v + 6. Solve g = -q - a - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5309, -1, 70 in increasing order.\nAnswer: -5309, -3, -1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 855821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 3 - 2 + p + 2*p**2)*(0 - 8 + 1) in the form l*p**2 + w*p + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(448)*2 + 2 + -2 + 3 + sqrt(448) + -2 + 3*(0 + sqrt(448) + sqrt(448)) + -1.\nAnswer: -3 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + (4 - 5) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 3:19 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 366?\nAnswer: -365.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from ddddddddddddddj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84)*-2 - sqrt(84)))\/sqrt(7) + sqrt(12).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*g - 2668 = -2185 + 2847 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.073128ml to litres.\nAnswer: 0.008073128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0462 + 0.05. Round r to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 + 5.29. Let n = g - 1.5. Which is the nearest to n? (a) 3 (b) -1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9300556 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3627514412 to the power of 1\/2, to the nearest integer?\nAnswer: 60229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + 2*x - 4. Let d(u) = 3*u**2 - 3*u + 6. Calculate -5*d(w) - 7*f(w).\nAnswer: -w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v - 2. Let y be (5\/((-10)\/6))\/(-13 + 12). Let w(s) = 2*s**y - 2*s + 105 + 105 - 214. What is 3*w(u) - 5*x(u)?\nAnswer: u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(((c*c\/c**(-24))\/c)\/c))\/c))\/(c**(17\/5)*c)*(c**(-5))**5 assuming c is positive.\nAnswer: c**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663780073?\nAnswer: 11, 293, 205951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48626120.\nAnswer: 2, 5, 17, 43, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 10*l + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -653, -1168, -1691, -2228, -2785, -3368?\n\"Answer: -p**3 + 2*p**2 - 514*p - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 + -0.01. Let o = -292 - -289. Suppose 0 = 2*f + 2, 3*f + 0*f - 13 = 4*m. Which is the third smallest value? (a) o (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 441, 342, 179, -48, -339, -694?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -23210.38 to the nearest 10.\nAnswer: -23210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*c**3 + 387*c**2 + 35915.\nAnswer: -30*c**2 + 774*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (31\/((-558)\/(-159255)))\/(2\/20).\nAnswer: 5, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o + o + 23 - 7*o. Let u be z(-6). Suppose -b = -u*f + 12, -b = -2*b - 2*f + 23. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9*a + 30. Put 4, 0.2, a in decreasing order.\nAnswer: a, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 9:16 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/28)\/(-2) - 540\/1155. Which is the closest to -1? (a) 0.5 (b) y (c) 4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4228916 is divided by 183865.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/20*-5 - 8\/(32\/(-6)). Let y(a) be the first derivative of q*a**4 - 10*a**2 + 0*a**3 + 0*a - 7. Find the second derivative of y(o) wrt o.\nAnswer: 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and (17\/51 + (1 - 1))\/(3\/3204)?\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 11. Let n be d(7). Suppose -z = n + 4. Let o(j) = -j + 9. Does 8 divide o(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3)*b**(1\/25)*b**24\/b*b**(-19))**(-7\/8) assuming b is positive.\nAnswer: b**(-1407\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/7))\/r*r*r\/r**(-9\/4)*r**(1\/3)\/r*r\/(r*r*r**(1\/7))*(r**8\/r*r**8)\/(((r\/(r\/(r*(r*r**(-2\/5))\/r)))\/r)\/(r*r**(-6))) assuming r is positive.\nAnswer: r**(779\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -403663 + 0?\nAnswer: -403663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1*24\/((-672)\/2)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28295 + 2037289\/72. What is the common denominator of 177\/(-45) + (1 - 1\/5) and h?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 268.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 10*f + 7)*(f**3 - 3*f**3 + 5*f**3)*(-5 + 4 - 6).\nAnswer: 210*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 135 = 13*a. Let g be (-6)\/(-8) - a\/792*82. What is the second smallest value in g, 4, 2\/39, 2?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3275, -4386, -7311, -12956, -22227?\n\"Answer: -151*h**3 - h**2 - 51*h - 3072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 501863 divided by -1\nAnswer: -501863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/11))**(1\/10)*((l\/(l**(-7)\/l))\/l*l)**(-21) assuming l is positive.\nAnswer: l**(-10398\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 227 divided by -5\nAnswer: -227\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 4, t + 4*h = 19. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 - z. Let n be a(1). Let m be (-14)\/(-5)*5\/2. Let u = n + m. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 - -2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(12 - (-2 + 4)). Let l be (-76)\/r + 6\/(-10). Suppose 5*n + 2500015 = -5*w, -8 = 5*n + l. Round w to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 58 - 191 - 6548*z + 68.\nAnswer: -6548*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30880108 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -34 + 36\/(-9). Let s be (-8)\/q*1 + (-20)\/9. Let w be (1\/2 - s)*(-8)\/(-5). Sort -1, w, -2 in increasing order.\nAnswer: -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, q: 11, z: 1, a: 2}. What is prob of sequence hqqz?\nAnswer: 275\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6253525 is divided by 362?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/3)\/(18\/((-27)\/3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/17, 0.11, 2\/13?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 311902 or 311299?\nAnswer: 311902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3*s**3 - 5*m**3 + m + 3*s**3 + 4*s**2 wrt s?\nAnswer: -6*m**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 + -92. Suppose -4*c - 8 = -5*w, -c = 4*c - g. Suppose -n = -5*d + 383, w*d = -n - 2*n + 295. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.192 + -21.132. Put 3\/5, -24, 2\/3, -5, l in descending order.\nAnswer: 2\/3, 3\/5, l, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1700) + sqrt(1700)*3)**2 - (-3 + sqrt(1700) + 3) - (-1*(-4 + -2 + sqrt(1700)) + 4)) + 0.\nAnswer: -54410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-36)*(n**0*n)\/n*n*n**(-6\/5)*n*n**(3\/4)*n\/(n\/n**(-2\/7))*(n*((n*n*n*n*(n\/n**(2\/3)*n)\/n)\/n)\/n*n)**(-11\/7) assuming n is positive.\nAnswer: n**(-32569\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c - 7390 = 30*c. Let z = c + -739. Let b(m) = -5*m + 2. Let u be b(3). Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -43. Suppose -17*v + i*v = 24. Let l = v - -17\/3. Which is the nearest to 0? (a) 0.4 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 21*f**2 + 7*f + 28. Let t be x(21). Calculate the highest common factor of 14 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8445 - 8449. Sort 121, b, -7.\nAnswer: -7, b, 121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c**3 + 3 - 4 + 0.\nAnswer: -37*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:40 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 31*z + 435. Does 8 divide o(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12019, 152, 0 in increasing order.\nAnswer: -12019, 0, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o + 48*o - 6 = 0. Factor 8*u**3 - u + 7*u**o - u - 11*u**3 + 2*u**2.\nAnswer: 2*u*(u + 1)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4560\/3344)\/((-1)\/11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -482, -962, -1444, -1928, -2414?\n\"Answer: -o**2 - 477*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2. Let b(i) = -1440924*i**2. Determine b(h(a)).\nAnswer: -5763696*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 476 + -114. Let k = m + -346. Calculate the highest common divisor of k and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 19*a = -384. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000228827323 to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*q + 2317 - 4727, 0 = -4*p - 3*q + 3195. Calculate the remainder when 1598 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + 6*i - 11*i - 3*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 7*g + 0*g)*(9 - 9 + 9).\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 18*q**2 + q + 13. Let c be p(-18). What is the third biggest value in -1, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 40\/13, -1\/2 in decreasing order.\nAnswer: 8, 40\/13, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 5. Let u be (-2)\/5 + (-66)\/10. Let o be b(u). Suppose -o*j + 8 = -0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.6, 2\/5, 0.3, 0, -3399?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a + 13*a**2 - 2 + 5*a + 4*a**2 to t*a**2 + h*a + n and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.348957 nanograms in tonnes?\nAnswer: 0.000000000000002348957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 18*v**3 + 3*v**2 + 11*v + 11. Let f be q(6). What is the second derivative of f*t**2 - 4073*t**2 - 21*t**5 - 128*t wrt t?\nAnswer: -420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5\/9 - 2684*i**4\/9 - 305480*i**3\/3 - 10706548*i**2\/9 - 31019590*i\/9 - 7075600\/3 = 0.\nAnswer: -665, -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -310, 4, 3 in descending order.\nAnswer: 4, 3, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let q be b + -2*14\/36. Let i(f) = -3*f - 32. Let o be i(-10). Sort o, 4, q.\nAnswer: o, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d + 6. Let i be (-8)\/14 - (2 - d). Let n(p) = p**3 - 2*p - 1. Let y be n(-1). What is the second smallest value in y, i, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Suppose -5*a = 5*f - 110 - 5, -5*f + i*a + 75 = 0. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + f - 1. Let z be t(1). Suppose -2*x - y = 1, 5*y + z = 3*x - 4. Are 0 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4015 is divided by 284?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 5*t - 165. Suppose -5*n + t = 3*g, 5*n - 60 = -5*g + 3*n. Suppose 8*u - 5*u - i = -5, 0 = 2*i - g. Solve -j + u + 2 = -y, 5*j = y + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 3. Solve -s - 5*o = u, s = -4*s + o - 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 9*d = 533, 5*m - 1391 = 3*d. What is the greatest common divisor of m and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -102?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, g: 6, z: 1, t: 4}. What is prob of sequence gg?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 7808*l**2\/3 - 31256*l\/3 - 31264\/3.\nAnswer: 2*(l - 3908)*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*s + 14, 0 = 4*s + 2*c + 2*c + 8. Let o(n) = -13*n - 6 - 24 + 2*n**2 + 0*n + 24*n**s. Is o(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 262\/5 (b) 0 (c) 0.3 (d) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1 + 7*k**2 - 5 + 4*k + 0 + k**3. Let n be w(-5). Let m = 25 - n. Which is the closest to m? (a) 3\/5 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2\/3 (c) -6 (d) -2\/15 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 36 = 0. Let u be 14\/(-21) + (-48691)\/(-69). Suppose k*m = 7*m + u. What are the prime factors of m?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 720.8 and -0.2.\nAnswer: -144.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w**3 + 11*w + 1\/110*w**5 + 0*w**2 + 1\/165*w**6 + 0*w**4 - 23. Let r(v) be the first derivative of o(v). Factor r(z).\nAnswer: 2*z**3*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384387 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 128 and 12352493.\nAnswer: 12352621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87174*u**2 + 119*u - 62*u - 87168*u**2 - 54*u.\nAnswer: 6*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 751*q - 8019. Calculate x(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-11 + 5) - ((-2 - 2) + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -47*k + 379. Let y(j) = -31*j + 271. Let l(n) = -5*x(n) + 7*y(n). Let i(p) = -p. Calculate -3*i(g) + l(g).\nAnswer: 21*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3 - h + 3*h - 3*h**2 - h + h. Let v(q) = q**3 + 21*q**2 + 40*q + 18. Let u be v(-18). Let m be 918\/u + 2*1\/(-5). Give x(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 585.8911485 - 585.9. Round q to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -8, -4, -6 in increasing order.\nAnswer: -8, -6, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) -0.06 (c) -5.26 (d) 0 (e) 0.1 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m = 0. Let q be 5\/(165\/(-6)) - 6\/(-33). What is the units digit of 9 - (m - q\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 221 = -2*y - y, -4*s - y + 421 = 0. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {c: 8, v: 9, h: 1, o: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-1620) + (1 - 1) - (18 - 5395\/(-45))\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 - 896*b**3 + 17440*b**2 + 3584*b - 69696 = 0 for b.\nAnswer: -242, -2, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1733 + 56533?\nAnswer: 54700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*z - 6, -y = 2*y - 2*z - 2. Solve -y = 3*w - w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*v + l, 0 = 3*v + 4*l - 0*l - 9. Let b(z) = -z**2 + 10*z - 1. Let o be b(v). Calculate the greatest common divisor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 814 (b) -0.2 (c) -3\/23 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-252)*-12 - (-3825)\/7. Let j = -543 + t. Which is the closest to -2? (a) 0.1 (b) -0.2 (c) 0 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -19*l**4\/12 - 23*l**2\/2 - 38*l. Find the first derivative of s(t) wrt t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977 + 2173 = 5*k + 1066 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1134042041 - -4?\nAnswer: -1134042032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -139\/6 (b) 1\/6 (c) -165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 0*i - 4*i + 6*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660212647 to the power of 1\/2, to the nearest integer?\nAnswer: 51577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*z**3 - z - 2\/5 - 4\/5*z**2.\nAnswer: -(z + 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/(316\/((-12685504)\/965))\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (3 - 3) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3769*c - 50490 = -5254*c for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48, 144, 304, 528?\n\"Answer: 32*h**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621668088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.02151 minutes in microseconds?\nAnswer: 1981290600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -23 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 12:26 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let a(o) = -440341*o - 6. Calculate a(y(p)).\nAnswer: -440341*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(-2*m - 3 + 3)*(-332 + 25*m**2 + 332) to the form n*m + h*m**3 + v + p*m**2 and give h.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -775 - -774. What is the fourth biggest value in 1\/6, 0.3, x, 36?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -147925*a*h**2*k**2 - a*h**2*k + 72380*h**2*k wrt k.\nAnswer: -295850*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5249261789 plus 5?\nAnswer: 5249261794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -8, 42, 160, 370, 696, 1162, 1792?\n\"Answer: 4*n**3 - 2*n**2 - 16*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9958225 micrograms?\nAnswer: 0.0000000009958225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 433659 to the power of 1\/2, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(l**5 - l**2 + l**2) - 7*l**5 + 8*l**5 - 21*l**2 - 16*l**2 + (-l - 5*l + 5*l)*(-2*l**3 + 3*l**4 + 2*l**3).\nAnswer: -4*l**5 - 37*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 514\/9 + -57. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:55 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.25 + 78.25. Let j = o - 76. Let f be (-1*1)\/((-12)\/(-72)). Which is the nearest to 2? (a) 2 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2683 - -3793. Suppose -14*b - b = -r. Suppose -3*w = -2*x - 2 + 26, 2*w - 49 = -3*x. What is the remainder when b is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**6\/720 - 3*z**5\/20 - 27*z**4\/4 + 20*z**3\/3 + 76*z**2. Let d(b) be the first derivative of r(b). Factor d(l).\nAnswer: -(l + 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 16 + 16 + 11*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220120 is divided by 3191?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.316 from 440.\nAnswer: 440.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44720 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z - 105*z + 16*z + 17*z + 23*z + 16*z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*(2 + 69\/(-42))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*a**2 - 171*a**2 + 44*a**2.\nAnswer: -194*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 6*t + t + (-2*t + 6*t - t)*(-4 + 1 - 5))*(1 - 3 - 1)*(-1 + 2*t + 1) as a*t**2 + u + w*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 - 8*n + 8*n**3 - 6*n**3 + 3*n**4 - 2*n**2 + 13*n**2 - 6*n**2 to k*n**2 + y*n + x*n**3 + m*n**4 + d and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -7, 0.52, 0, 3\/23 in decreasing order.\nAnswer: 0.52, 3\/23, 0, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -23*z**3\/3 + 38*z - 40. Differentiate q(j) with respect to j.\nAnswer: -46*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/25, -3\/7, 1\/5, -2\/9, 0.\nAnswer: -3\/7, -2\/9, -3\/25, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + v - v. Let l = 2 + 3. Let f(n) = -l*n + 5*n + 7*n - 2*n. Determine y(f(r)).\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.70149 greater than -11.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*4\/26 - 450362\/(-3146). Suppose 0 = 5*p - x + 153. Which is the closest to -2\/5? (a) p (b) -3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0 - 1\/6*v**6 - 20*v - 7\/4*v**4 + 0*v**5 + 0*v**2 + 0*v**3. What is the third derivative of i(y) wrt y?\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {e: 1, f: 1, q: 2, o: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(l + l + 0*l) - 2 + 2 + 2*l + (-1 + 1 + 1)*(-l + l - 3*l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4 + 4*x - 18*x + 4. Let c(y) = 5*y. Calculate -11*c(z) - 4*i(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1135, -4833, -10985, -19591, -30651, -44165, -60133?\n\"Answer: -1227*c**2 - 17*c + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*3*(sqrt(245) + sqrt(245)*2) - (4 + sqrt(245) + 2 + sqrt(245)*-1)) + 2)**2.\nAnswer: -3024*sqrt(5) + 714436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.1. Let z be (-6)\/(-6) - 2\/2. Is i not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73908 + -3872959.\nAnswer: -3799051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 17*z**2 - 9*z + 21. Let n be f(-11). Let o(b) = 116*b - n + 725. Let p(q) = 2*q. What is o(p(a))?\nAnswer: 232*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 2067532 + 2067532.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2) + -255)*(-27)\/18. What is the tens digit of d\/15 - (-22)\/55?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (17 + -11 - 9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -5, -3885797 in ascending order.\nAnswer: -3885797, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796860 is divided by 796532.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-30 + (27 - 8 - 12 - 5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12485 (base 13) to base 3.\nAnswer: -1201021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -75. What is the remainder when 43 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*s**2 - 11412*s + 11412*s + 15*s**2 - 100*s**2.\nAnswer: -223*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {e: 1, j: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12935*g**2. Let a(y) = -14*y**2. Give a(t(n)).\nAnswer: -2342399150*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1020212?\nAnswer: -1021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017717 is divided by 2051.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + z - 8. Solve -z = -h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-324)\/(-45) - 1\/5. Let b(s) = s**3 - 7*s**2 + 4*s + 37. Let m be b(p). What is the greatest common factor of m and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3088.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -126066?\nAnswer: -126064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*d + 84*d - 27*d + 134*d + 342*d to t + o*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -10 - (-13 + 19 + 23)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = -5*u - 134, u - 47 = -q. Suppose 4*t - 53 = -5*k + 2*k, 3*k - 5*t = 89. What is the remainder when q is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 + -4511?\nAnswer: -5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - 1. Let y be (g\/(-3) - -2)*3. What are the prime factors of 9\/6*y\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 4*p + 6. Let l(b) = b + 2. Suppose -3*s + 9 = -3*u, -5*s + 8 = -223*u + 225*u. What is s*v(d) - 7*l(d)?\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0*m**4 - 42 + 4*m + 0*m**5 + 0*m**2 - 15\/2*m**3 + 1\/42*m**7 - 14\/3*m**6. What is the second derivative of x(a) wrt a?\nAnswer: 20*a**3 - 1680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 - 3*b + 5. Determine q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 - 58 - 7*a)*(-1 - 2*a + 3*a + a)*(3 - 2 + 2) to l*a + m + r*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -482 + 850. Suppose -f = -u - 3*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 37, 71, 109, 145?\n\"Answer: -m**3 + 11*m**2 - 2*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 14412699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0)\/q**(2\/31) assuming q is positive.\nAnswer: q**(29\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x - 5*g, 6 = 5*x - 4*g + 2. Suppose 6*c - 8*c + 4 = x. Suppose 0 = -c*w + w + 82. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 15 + 3*g + 4*g**2 - 16 - 4*g. Give q(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 9606584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2515.08 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 648479.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55661569 to the nearest integer?\nAnswer: 7461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*g - 2*y, -73*g + 71*g = 14*y - 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 n when four letters picked without replacement from vrnqrrrqvrrvqnnrrqrr.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h**2 - h + 7. Let s(r) = -11*r**2 + 14*r - 3. Let c(b) = 10*b**2 - 12*b + 3. Let k(x) = -7*c(x) - 6*s(x). What is 5*k(m) + 2*p(m)?\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5906 (base 11) to base 6.\nAnswer: -55514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2643000 divided by -5.\nAnswer: -528600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkfbeekeg. What is prob of picking 1 f and 2 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 578 - 522 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 9:19 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = b, -s - 40 = -3*b - 3*s. Let u = 22 - b. Round u to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4180 and 1805?\nAnswer: 79420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92083*p**4 - 49651*p wrt p?\nAnswer: 1104996*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16500 is divided by 16132?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfpptgccptc. Give prob of sequence pc.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -533*j**2 - 4*j + 4. Let l(h) = -1068*h**2 - 7*h + 7. Give -7*k(d) + 4*l(d).\nAnswer: -541*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3217.83237 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + (-4 - (2 - 15)) + (24 - (-8 + 24)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 237 = -d, 6*n - 4*d + 180 = 10*n. What is the highest common divisor of 40 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566*a + 577*a = 50061. Is 97 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h - 4. Let o be (-6)\/(-11)*4576\/1248. Let b(u) = -65*u - 21. What is o*b(i) - 11*a(i)?\nAnswer: 13*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 189 - 177 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -5\/4 (c) -0.044 (d) -1\/28 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 13*d - 27. What is the units digit of y(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/8*(-624)\/1170. Which is the second biggest value? (a) 0 (b) -5 (c) -0.01 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4767 in 7, 1\/2, -0.1, -4, -1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26 + -20 + 0 + -3. What is the nearest to 3 in 0.1, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l + 337 = 66 - 521 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/2738703 and 67\/264?\nAnswer: 21909624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.7 (b) 1173 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108133570?\nAnswer: 2, 5, 10813357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*k**2 - 5*k**2 + 34*k**2 + 0*k**2 + 4*k**2 - 2*k**2 - 4*k**2 + 4*k**2 - 2*k**2 + (-3 + 3 + k)*(0*k + 0*k + k) + (4*k - 3*k - 2*k)*(-2*k + 3*k + 0*k).\nAnswer: 57*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/(-42)*(-70)\/49*(-1)\/(-7)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3845*a = 202207 + 128463 for a.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 899.\nAnswer: -179.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/120*(20\/6)\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(1100) + -1.\nAnswer: -20*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 34*t - 24. Let h(l) = 14*l - 10. Let a(q) = 12*h(q) - 5*o(q). Let d(w) = 2095*w. What is a(d(k))?\nAnswer: -4190*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 200\/((-1)\/(-3) + 10586\/(-31794)). What is y rounded to the nearest ten thousand?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 85 + 2*g + 50 to z + q*g and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2621757?\nAnswer: 3, 17, 51407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 + -1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357496198.\nAnswer: 2, 178748099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6*-2 + 0. Calculate the remainder when 34 is divided by -3*(z - (4 + -1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - 89*p + 17*p to z*p + l and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3182159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -186949052?\nAnswer: 186949057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -21.62. Let d = 0.58 + o. Are -0.1 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -75, -51, -17, 27, 81?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 divided by -315.\nAnswer: -38\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 11:44 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184231\/328 - -1361\/41. Let q = l - 594. What is the common denominator of q and (-6)\/2 - 122\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5295.741 - 5300. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*q + 27041 = 1515*q - 53095 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 35*g. Let t be (2 - 2) + 5 + (0 - g). Solve -t*n - 29 = -2*r, 10*r - 13 = n + 6*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 209025.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**5 - 26*m**4 - 62*m**3 - 64*m**2 - 24*m = 0?\nAnswer: -2, -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(27) + sqrt(3)))\/sqrt(11) + sqrt(30)\/(sqrt(6) - (sqrt(30)*2)\/sqrt(5)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8517, -34455, -77703, -138267, -216153, -311367, -423915?\nAnswer: -553803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y - 10 = -45*y. Suppose -323 = -6*u + y*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 5, m: 9, w: 1, a: 2}. What is prob of picking 1 r, 1 a, and 1 w?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-11160)*31)\/((-5)\/(-36)*(-96)\/(-320)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64676327, -129352653, -194028979, -258705305, -323381631?\nAnswer: -388057957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 238 and 241.21.\nAnswer: 57407.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(5*r - 3*r**2 + 2*r**2 - 6*r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -808 - -6463\/8. Which is the nearest to 1? (a) -4 (b) z (c) -4\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -307*w - 1858. What is f(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2dd09a (base 15) to base 5\nAnswer: -1032032040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -14*m + 313. Let u be w(19). Let n(h) = -h**2 + 46*h + 49. Let r be n(u). Solve -13 + 21 = -r*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -224*f**3 + 231*f + 543174?\nAnswer: -672*f**2 + 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i**2. Let g(c) = 126 - 126 + 2*c. Calculate g(b(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 36 = -4*i, 2*i - h - 17 - 1 = 0. Let r = i - 7. Suppose -5*k = -3*k + 2*w - r, 0 = -2*k + w + 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-2)*-4*(-1)\/2. Solve -2*o - 5*g + 21 = 0, 5*g + 1 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-3 + 0))*(-4)\/96?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93098287.\nAnswer: 73, 1275319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 601253369 to the power of 1\/2, to the nearest integer?\nAnswer: 24520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 126\/84 - (1 + (-1)\/(-2)). Let n = 158 - 793\/5. What is the closest to s in n, -60, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x - 6 = 30*x. Let k = 42 - 30. Solve x*a - k = -2*j, 2*a + 5*j = 2*j + 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - 8 - (-3 - (5 - 11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/44080 and -101\/22040.\nAnswer: 44080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/(2\/4). Suppose -2*f = 2*m - 1 + n, -5*f - 8 = 4*m. Solve 7 = -2*o - m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435375 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2\/5*m**2 + 0 - 12\/5*m = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(2\/5))\/b))**16*(b\/((b\/(b*b\/b**(-2\/21)*b))\/b))\/b**6 assuming b is positive.\nAnswer: b**(808\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.034 + -1.866. What is the biggest value in -0.4, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 2*w + l - 441, 4*w + 4*l - 664 = 0. Suppose -5*z + w + 9 = 0. Calculate the remainder when z is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**3 - 2436*k**2 + 2436*k**2.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.6 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, k: 2, e: 3, f: 1, z: 2}. Give prob of sequence kepf.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + -1*sqrt(1008) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 7:39 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-5))\/(-1 + 2). Let c = 0 - f. Solve -5*d + 2*s - s = 17, c = d + s + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsgzz. Give prob of sequence tsg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-27) + 1)*6 - -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/17 and -70\/177.\nAnswer: 3009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(3))\/sqrt(2) + sqrt(76)\/(sqrt(36)\/sqrt(9)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -7 (b) -31.1 (c) -3\/4 (d) 1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 398*j**3 - 210*j + 74*j**3 + 2*j**2 + 303*j**3 wrt j?\nAnswer: 4650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -131*h**3 + 6*h**2 - 2512?\nAnswer: -393*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3239 + 3674.257. Let w = m + -435. Round w to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1371619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -15*i - 33. Let j(z) = -z - 2. Let q(x) = -2*b(x) + 33*j(x). Let l(v) = 33909*v + 33903*v - 67813*v. Calculate l(q(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -472, -475, -480, -487?\n\"Answer: -p**2 - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j = -36*j + 28. Suppose 0 = -j*q + 5*q + 288. Suppose 0*b + b - 17 = 0. Calculate the remainder when q is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -541, -809, -1079, -1351, -1625, -1901?\nAnswer: -2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50218 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + -26. Let n = 83 + g. Sort n, 1\/6, 1\/2, -3 in decreasing order.\nAnswer: n, 1\/2, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/1156798 - 31641317555\/60153496. Let m = -526 - y. Let o = m - -7739\/936. Calculate the common denominator of o and 23\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4\/5 - 368*f**3 - 43176*f**2\/5 - 150688*f\/5 - 28672 = 0.\nAnswer: -896, -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 218 = 4*g - 2*g, -5*t + 5*g + 230 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20191490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/329305 and -48\/29681.\nAnswer: 145882115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - b + 5 = -7, 0 = u - 5*b + 16. Solve 0 - u = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 14*q + 28. What are the prime factors of i(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6547 - -104835\/16. Calculate the common denominator of (-1)\/8*164\/(-10) and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(6\/624) - -11.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -5*a**2 + 0*a**7 + 0*a**5 + 0*a + 0 + 0*a**6 - 1\/48*a**8 + 7\/24*a**4 + 0*a**3. What is the second derivative of x(c) wrt c?\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12195007, 12194966, 12194899, 12194806?\nAnswer: 12194687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t + 4. Let l be r(-5). Let f = 49 - l. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 218, 2\/3, 0.4?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, c: 3, k: 4}. Give prob of sequence kxxk.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8176224 divided by 24334\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474 and 1150188.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:01 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 8:57 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (848958\/2413)\/(-11) + 32\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133)*1 + sqrt(133)))\/sqrt(7) + sqrt(19))**2*-2*-4*-4 - (sqrt(266)\/sqrt(7)*1)\/(-2*sqrt(98)).\nAnswer: sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9256164*g**3 + 7*g**2 - g + 159190 wrt g?\nAnswer: -55536984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*j - j. Suppose -4*q = 3*q - 224. Let r = q + -16. Calculate the smallest common multiple of j and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 6. Let x be f(-4). Suppose 0 = -l + 2*s + 111, 2*l - x*s - 221 = s. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -4\/7 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-78 + -27)) + -48\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 10. Let s(n) = -7*n - 20. Let w(c) = 5*l(c) + 2*s(c). Determine w(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77429239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2250547.\nAnswer: 13, 233, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 2*v**3 - 3*v**3)*(-3 + 5 + 1)*(-1 + 3 - 3).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(2\/15)\/k*k*(k**(-1\/7)*k)\/k*(k**(-1\/16)*k*k)**(-44) assuming k is positive.\nAnswer: k**(-35389\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/(7\/(-35)). Let n be (4 - 1) + u + -3. What is the closest to n in -3, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -1.3. Let g be (-5 + 3)*(-3)\/48. What is the nearest to q in g, 2\/15, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, m: 4}. What is prob of sequence uumm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 - 53\nAnswer: -52.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o - o)*(o + o**3 - o) + 5*o**4 + o**3 - o**3.\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n**3 - 2*n**2 + n. Suppose 5*u - 5*c + 15 = 0, -6*u + 15 - 21 = -3*c. Calculate t(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i - 5. Let j(f) = 4*f + 6. Let r(x) = -3*x - 50. Let c be r(-19). Calculate c*y(d) + 6*j(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-332)\/(-15) - 2\/15. Let a(f) = -22 + t - 6*f**2. Let m(n) be the second derivative of n**4\/12 + n. Determine m(a(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let r = -2 + 0. Let h be (-2)\/(-5) - 35\/25. Let t(z) = 2*z**4 - z. Let g(c) = h*t(c) + r*j(c). Find the second derivative of g(i) wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76, 78, 82, 88, 96, 106, 118?\n\"Answer: d**2 - d + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014806 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmztljmmjj. What is prob of sequence lm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 2*w**2 - 5*w - 4. Let r be p(-3). Let q(j) = 22 - 22 - 22*j**r. Let a(s) be the second derivative of -s**4\/6 - 93*s. Determine a(q(x)).\nAnswer: -968*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/6 + 373*s**2. Suppose 0 = 3*b - 5*b + 138. Let y(f) = 13*f**2 + 69 - b. Calculate m(y(v)).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n - 1776 = -60*n. What are the prime factors of n?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/45 + 356\/3. Suppose 4*n = 5*o - 116, -5*n + y = 5*o - 6*n. Calculate the highest common divisor of 78 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -270 and -33.623?\nAnswer: 9078.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1380, 1354, 1338, 1332, 1336, 1350?\nAnswer: 1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119969? (a) 0 (b) 2 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -2\/3, -0.21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1496 or 538?\nAnswer: 538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.15073 kilograms to nanograms.\nAnswer: 24150730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11129 and 22258.\nAnswer: 22258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - -1.1. Which is the closest to n? (a) 2 (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -8. Suppose -2*m - 4*s - 6 = 0, -b*m + s = -3*s + 14. Let o be 0 + 0 + m\/6. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*a = -273*a + 106*a + 18000. Calculate the highest common factor of 171 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 29*m - 6*m + 24*m**2 - 4*m - 13*m.\nAnswer: 24*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9228 + -9266. Find the common denominator of 46\/49 and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Let y(h) = -h**2 + 1. Suppose -l - 1 = -3. Let w(n) = n**2 - 1 - n**3 - l*n + 1 + n + 1. What is o*y(s) - w(s)?\nAnswer: s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/15 - 489\/815?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, -9, -16, -7, -5 in increasing order.\nAnswer: -16, -9, -7, -5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 - 490 - 1279 = -244*a + 8070 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2. Suppose -3*z - 12 = -5*w + 20, -5*w + 5*z + 40 = 0. Let u(f) = -w*f + f - 2*f - f. Calculate u(k(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*c**4 + 113712*c**3*z + 40*c**2*z + 66*c**2 - 2*c - z + 38 wrt c?\nAnswer: 1656*c + 682272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-36))\/(8\/(-6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 + 2*b**2 + 2*b + 1. Let g be n(-1). Suppose h + 36 - g = 0. Let y = h - -51. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2188 and 851132?\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**5\/3 - 1282*n**4\/3 + 3188*n**3\/3 - 2546*n**2\/3 + 212*n = 0. What is n?\nAnswer: 0, 1\/2, 1, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53577.\nAnswer: 3, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/9 + 206*g**2\/9 + 140*g\/3.\nAnswer: -2*g*(g - 105)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8832? (a) 4 (b) -3 (c) 0.7 (d) -2 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 28*a + 24.\nAnswer: 4*(a - 6)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 33*o - 6. Determine r(15).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - r - 102 = 8*d, 36 = 2*d + 2*r. Solve l - 4 = -m, 5*m - d = -49*l + 46*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 + 4*i**3 - 2*i**3 - 5*i**3 + i - 73 + 74 to n*i**2 + b*i + h*i**4 + y*i**3 + k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4332*w + 2066*w + 2071*w in the form v + m*w and give m.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/3))\/a*a*a*a\/(((a*a*a\/a**3*a*a)\/a)\/a)*a*a)**(3\/5))**(2\/13) assuming a is positive.\nAnswer: a**(28\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1)*(5 - 8). Let c(m) = -m - 3*m**3 - 2*m + m + 1 - 2*m**p. What are the prime factors of c(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + w - 27 + 48 = 0, 5*g - 5*w = -15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3))**(-4\/31))**(-1\/91) assuming p is positive.\nAnswer: p**(-4\/8463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 5*h + 6. What is q(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by -16635.\nAnswer: -67\/16635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -480 + 485. What is the closest to -15 in -4\/3, k, 0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q = -55 - 35 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5\/(-30)*-8.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 - i + 1. Let t be n(-2). Calculate the remainder when (-52 - 1)*-1 + t is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 5 (c) 0 (d) 3 (e) -3\/143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q + 16. Let p = 13 - 2. Let t be b(p). Does 16 divide t*(28\/10 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 0*y - y)*(0 - 4 + 3) - 2 + 2 + 2*y + (-23*y - 37*y - 3*y)*(5 - 3 - 5) as u + h*y and give h.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 94\/(-18)) + (-8)\/36. Suppose -4*w - y*z = -2136, -12*z - 522 = -w - 10*z. Calculate the lowest common multiple of 6 and w.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 16*a**2 - 3*a - 4. Let s be r(-16). Suppose -2*k = -6*k - s. Let g be (k + 10)\/((-2)\/6). Solve 0 = 4*y + 20, 0 = g*o - 0*o - 4*y - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 73.7. Let s = 1.7 - t. Let v = -7 - s. Sort v, -2\/3, -12.\nAnswer: -12, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -344\/3 - 1028\/9*b**2 + 2062\/9*b - 2\/9*b**3.\nAnswer: -2*(b - 1)**2*(b + 516)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2555 - 20357\/8. What is the common denominator of -73\/8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-14) + (-44)\/88 - (-195)\/91.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -121780 + -22?\nAnswer: -121812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -101. Suppose 27 = 3*q - w. What is the remainder when 61 is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92597857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.006, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2436824 divided by 46862?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12147 and -0.6289.\nAnswer: 7639.2483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 3:57 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/14 and -89\/354982.\nAnswer: 2484874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, -2\/7, 4\/5, -1 in descending order.\nAnswer: 4\/5, -2\/7, -1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 5. Let y(l) = -l - 12. Let p be y(w). What are the prime factors of p\/16*(-32)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/((1 - -3)\/(-4)). Put 5, -2, 4, z in increasing order.\nAnswer: z, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 25 = -2*d, 0 = -4*d - 0*d + 5*f - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4362 - 420?\nAnswer: -5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -16*y + 18. Let r be h(1). Solve -4*s + 2*s = -2*d - r, -2*s = d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000102 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2 + g - 7. Suppose 0 = 3*f - 32 + 35. Let k(u) = u**2 - 1. What is f*l(p) + 5*k(p)?\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*z + 2 - 2*z**2 - 2*z**2 + 70*z - z**2 + 8*z**3 + 6*z**2 in the form u*z + m + v*z**2 + i*z**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**6\/240 + l**5\/40 - l**4\/12 + 2*l. Let i(s) be the third derivative of t(s). List the prime factors of i(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1615?\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 plus 0.072?\nAnswer: -2.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-9\/2))))**(2\/89)\/(m*(m*m**19*m)\/m*m*m*m*m\/m**(-5)) assuming m is positive.\nAnswer: m**(-2677\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 497\/(-710)*12\/21\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -3\/8, -0.4, 295, -31, -3.\nAnswer: -31, -3, -0.4, -3\/8, -1\/8, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y - 1. Suppose 5*p - 382 = -82. Suppose -3*g - p = -3*c, c - 30 = g - 2*g. Let d be (-6 - -1)*10\/c. Give l(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n**2. Let h(r) = 112*r**2 + 11*r - 95. Let l(f) = 30*f**2 + 3*f - 25. Let s(o) = -6*h(o) + 22*l(o). Give s(x(d)).\nAnswer: -768*d**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -67. Let j(g) = 1132*g**2 - 10*g - 13. Is j(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -20, -54, -2\/49, -0.5, -2.73, -4, -1?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46786.4 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305232 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1205 by 281.\nAnswer: -1205\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -40. Solve 0*d - g = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 34 = 5*x. Solve 0 = 4*k + 4*u - 12, -2 = 2*k - 3*u - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32451890.\nAnswer: 2, 5, 3245189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30550017?\nAnswer: 3, 10183339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 36*j - 3. Let x be y(-18). Calculate the remainder when (5*2 - 1)*3 is divided by (x - 69\/(-18)) + (-1274)\/(-84).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 392, -8 in ascending order.\nAnswer: -8, 0, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 16*d**2 + 12*d - 44. Let o be m(-15). Calculate the highest common factor of o and 69.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 7*i - 3. Let z be s(-6). Suppose z*m = -4 - 2. What is the nearest to -0.1 in 1, m, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -516 by 3.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -53, -5.\nAnswer: -53, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 25, 62, 153, 316, 569, 930, 1417?\nAnswer: 2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 2*j - 40. Let u = 1632\/11 + j. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -2*g**4\/3 + g**2\/2 - 2*g - 5. Let i(q) be the first derivative of 8*q**3\/3 + 86. Calculate i(j(w)).\nAnswer: 512*w**4 - 128*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1828 - 1780. What is the lowest common multiple of o and 28?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 65\/4*d**4 + 5\/6*d**6 + 62 + 10*d**3 + 8*d**5 + 0*d**2 + 0*d. Find p such that x(p) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 327904 and 348398?\nAnswer: 5574368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4 = -u, -2*u - 5*r = -6*r - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 8*f + 26. Suppose -5*g = -3*p + 143 - 90, -2*g = 3*p - 25. Give j(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(48)*1)**2 + 0 + ((sqrt(3)*2)**2*-4 - (sqrt(3) + 0)*-1)*1.\nAnswer: sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 224\/(-144)*13\/((-455)\/(-120)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -65. Let d(k) = k**2 + 4*k - 125. Calculate the lowest common multiple of d(10) and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4235) - -3*(3*sqrt(4235) + sqrt(4235) + sqrt(4235))) + sqrt(4235))\/(sqrt(605)*1*1) + 4)**2*-1.\nAnswer: -2039 - 136*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let p(x) = 355095815*x. What is q(p(d))?\nAnswer: -710191630*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -84.7 (c) -4 (d) 0.2 (e) -548\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from odoo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 89*l**2 - 69. Let v(b) = -22*b**2. Calculate p(v(i)).\nAnswer: 43076*i**4 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1976\/128 - 2\/(-8). Sort z, -1, 5, -4 in ascending order.\nAnswer: -4, -1, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2809 = 5*t - 3411. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5\/2, 13\/8, 1\/6 in decreasing order.\nAnswer: 3, 5\/2, 13\/8, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2216002049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.04 (b) 1\/8 (c) 49 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/28)\/((-12)\/(-56)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3926508?\nAnswer: 2, 3, 327209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5 - 62. Suppose -j + k + 0 = 0. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -7)*4\/12. Let f = 12 + -61\/5. What is the second smallest value in f, 0.4, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 6*t = -5*p - 5002000, 4*p + 4*t = -4001600. Round p to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4360?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l + 2392 = -676. Calculate the remainder when 173 is divided by l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.005777 + 0.005777. Let h = 139\/3 - 46. What is the third smallest value in h, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3870 and -3837.01466.\nAnswer: 32.98534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 2904?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/7 (b) -3 (c) -2\/11 (d) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11666 + -11675. Is x <= -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4300 is divided by 2108?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4, 0.3, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.697346 litres?\nAnswer: 697.346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let d(r) = -2*r**2 - 5*r. Let h(c) = d(c) - 5*x(c). Let k(v) = -3*v**2. Give k(h(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19388.999756 + -19197. Let t = 192 - j. What is t rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*(-4 - -14). Solve z + 3*u - 4*u = c, 10 = -5*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.641 (b) 12\/23 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194.7 + 193.7. Which is the closest to g? (a) 1\/10 (b) -14 (c) -4 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 8. Suppose -3*o + 30 = n*v, 0 = 4*v + o - 0 - 17. Suppose 36 = v*x - 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -1\/22*n**4 - 2 - 2\/11*n - 3\/11*n**2 - 2\/11*n**3. Determine q, given that g(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 28. Let n(t) = 2*t - 57. Let k be (-51)\/12 + 2\/8. Let b(y) = k*n(y) + 7*g(y). Does 16 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*p = -289 + 83, 3*p - 191 = -5*q. Suppose -2*m - 33 = -5*m. What is the remainder when q is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7055d (base 14) to base 10.\nAnswer: -6186039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.7022949 to two decimal places.\nAnswer: -40.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**6\/15 - v**4\/12 + 4*v + 4. Let q(b) be the first derivative of y(b). What is the third derivative of q(g) wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191037 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:39 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocrruuz. What is prob of picking 1 r and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 - 3*t**2 + 3*t**2 + 0*t**2 + 8*t**4 with respect to t.\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrhhm. Give prob of picking 2 h and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilb when three letters picked without replacement from oblooqi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:40 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 6*s. Let m(j) = -7*j. Let r(d) = 7*f(d) + 6*m(d). Let l(b) be the first derivative of -2*b**3\/3 - 54. Give l(r(o)).\nAnswer: -98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -80, -124, -168, -212?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*i**3 - 27*i**3 + 9*i**3 + (2*i**2 - i**2 + i**2)*(3*i + 0*i - 2*i) + 4*i**3 - i**3 - 4*i**3 - 3*i**3 + 134*i - 133*i + i**3.\nAnswer: -40*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 408427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6)*((0 - -3) + -2). Which is the closest to -1? (a) -0.6 (b) -0.04 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, n: 2, i: 2, m: 3}. Give prob of sequence mcnm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1584 + 1625. Solve -a = -d - 39 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 + 0*a**2 - 3*a**2)*(3 - 4 + 0) + (2*a**2 - 3*a**2 - 4*a**2)*(-3 + 2 + 0) + 13*a**2 - 3*a**2 + 15*a**2 + a**2 - 4*a + 4*a.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*a + 208 = 4*t, 5*t + a = 239. Suppose -4 = 14*b - 16*b. Suppose m = b*m - t. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:05 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w**2 + 2*w - 3. Let n be q(1). Let x(p) = -154*p**2 - n + 1096*p**2 - 3*p - 3. Let c be x(-11). Round c to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24047 divided by 54755\nAnswer: -24047\/54755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*r**2 - 29*r**2 - 15*r**3)*(-3*r - 7*r + r)*(2 + 6 + 14).\nAnswer: 2970*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*j - 140 - 224, -10*z = 0. Are j and 903\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -207, -2\/19, 5, -0.33, 2\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11658229\/30 + 388558. Let k = 99\/2 + r. Put k, -4, -2 in descending order.\nAnswer: k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -1\/2*v**2 + 11 + 5\/3*v**3 + 0*v. Does 14 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 5795.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/3 + 3\/1. Let x be (a\/8)\/(6\/4). Find p such that 0*p**3 - 1\/4*p + 1\/4*p**5 - x*p**2 + 1\/2*p**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 16*w + 2. Let a be u(-16). Let r be 9\/(-90)*(6\/a + 1). Let o(m) = -m + 4. Let b be o(6). What is the closest to r in -1, 5, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 112. Let i = 81 - c. Solve 0 = -0*b - i*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219 - -223. What are the prime factors of m - -375 - 9\/(45\/(-20))?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7071 = -b - 4*m, 5*b - 7035 = 5*m. List the prime factors of b.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116628766?\nAnswer: 2, 58314383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 94*w**2 - 100*w**2 + w + 260*w**2 - 77*w**2.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 230, 636, 1032, 1418, 1794, 2160?\n\"Answer: -5*x**2 + 421*x - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 + 34*g**2 + 27*g + 14. Determine w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 8:49 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16843 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 121128 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 775*c**3 - 209330240*c**2 - 97237420*c - 5402080 = 0?\nAnswer: -2\/5, -2\/31, 270104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40931*l**5 - 2*l**4 - 274*l**3 - 394925082*l**2.\nAnswer: 2455860*l**2 - 48*l - 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 5*x - x)*(-2*x + 2 - 2) - 3*x + 3*x - 4*x**2)*(2*x**3 - x**3 + 2*x**3).\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 6 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16537 + 184535?\nAnswer: 201072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3 + 3.3. Let g = -0.3 + -0.2. Let r be (-115)\/390 + 0 + 8\/24. Which is the third smallest value? (a) h (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477640441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 20. Let n = -11 + o. Let l = -2\/617 - -1248\/4319. Which is the second biggest value? (a) n (b) -0.07 (c) -0.5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -26, -56, -104, -170, -254?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1429 and -162.8?\nAnswer: 1266.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 463839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 125.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/83)\/r)\/(r\/((r*r**(-1)*r*r)\/r)*r)*r**(-21)\/r*r**(-33)*r*r assuming r is positive.\nAnswer: r**(-4484\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4\/11 - 6110*q**3\/11 - 3050*q**2\/11 + 6110*q\/11 + 3054\/11 = 0. What is q?\nAnswer: -1527, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.153 less than -2.4?\nAnswer: -2.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-2 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2291149203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(150) - 1*sqrt(150)*-6) + sqrt(150) - sqrt(150))\/sqrt(3))\/(4*-3*sqrt(10) + (sqrt(110) + -1*sqrt(110) - sqrt(110))\/sqrt(11)).\nAnswer: -14*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l - 35*l + 11*l + 14*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -26 - (-25 + 61) - -8) + (1 - 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.3 + 53.2. Let q = -47 + f. Is -2\/13 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127941347.\nAnswer: 103, 263, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -403*m**3 - 4*m**2 - 11*m - 14. What are the prime factors of j(-2)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g\/g**1)*g*g**14*(g**(2\/5)*g)\/((g*g**(-3\/8)\/g*g)\/g) assuming g is positive.\nAnswer: g**(751\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 0.4. Is -11 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (16 - 20) + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 122 - 1102 = 5*o, -c + 332 = o. What is the highest common factor of 30 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffggfggfogfgfogoo. Give prob of picking 1 o and 1 f.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 320 * -0.043.\nAnswer: -13.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 350. Let n = u + -23. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((8\/25)\/(1380\/(-1725)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 x, and 2 b when four letters picked without replacement from aiiixicbbciaixrrcr?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - (34 - (-13 - -31))) + (7 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7 = 2, 0 = -b - 5*t + 5. Suppose 2*u - 1 - 3 = 0. Suppose -u*l + 3*l = b. Sort 3, l, -3 in ascending order.\nAnswer: -3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-91)*((-742)\/60)\/(-53)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*y + 72 = 0, 257*y - 144 = f + 261*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43474 at most 43473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g. Let r(v) be the third derivative of -103*v**5\/60 + 27*v**2 + 1. Give m(r(q)).\nAnswer: -412*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)*g**1\/g*(g**(1\/2))**(-37))\/(g**(-3)*g**(1\/5)*g*(g**0*g)**1) assuming g is positive.\nAnswer: g**(-1927\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-531)\/(-81)) + (-8)\/(-2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w - 5. Suppose 0 = -3*k - 3*c + 5*c - 8, 2*c - 6 = 2*k. Let t be z(k). Solve 0 = -5*u + a + t + 7, u - 4*a - 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, v: 1}. What is prob of picking 2 y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4490*g + 11736 + 15405*g - 8163*g - 4*g**2.\nAnswer: -4*(g - 2934)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -v + 96. Let r be -93 - (24\/v)\/((-2)\/(-4)). Find the common denominator of (16\/r)\/(4\/(-159)) and -53\/17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*d - 221*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 26\/15, -1, -3?\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeexeeee. Give prob of sequence eee.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -6*q + 58. Which is smaller: q or -38\/35?\nAnswer: -38\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -43.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5 + 1 - 5 - 3*j. Let x = 740 - 735. Let w(b) = -b - 13. Let o be w(-9). Let p(q) = -2*q + 1. Determine o*t(a) + x*p(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2068714991\/1794375 + -1\/199375. Let n be (-1)\/4 + 9230\/(-8). Let w = n - f. Is w at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1336 and -61\/52.\nAnswer: 17368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71.8 - 69.8. Which is greater: -3.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -22*t + 384. What is w(23)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 8 = j. Suppose 8 = -3*a + j. Suppose -301 - 331 = -4*s + a*n, 0 = -2*n. Is s a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 5, -1, -48 in decreasing order.\nAnswer: 5, 3, -1, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**11 assuming n is positive.\nAnswer: n**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385597105 is divided by 377?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, h: 8, d: 2, m: 2}. Give prob of picking 2 d, 1 h, and 1 m.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735.2977nm to micrometers.\nAnswer: 0.7352977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13415066 and 7?\nAnswer: 13415066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/10)\/(20\/(-50)). Let p be ((15\/12)\/5)\/(n\/(-16)). Let b(g) = p + 2 - g + 1. What is b(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 - 391. Let h = 13277 - 13115.29. Let q = h + t. What is q rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3523*p**5*t + 6*p**4*t + 2*p**4 - p**2*t - 1958*p + 9*t wrt p.\nAnswer: 211380*p**2*t + 144*p*t + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j - 12 - 30. Sort 4, 3, j, -132 in descending order.\nAnswer: 4, 3, j, -132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*a + q - 12, 4 = 2*a + q. Suppose 5*p - 29 = -0*h + h, -p - 2*h - 3 = a. Calculate the greatest common divisor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -31) + 57 + -44?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 443226 and 252?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 + 6 + 18 + 25 - 5*y**3 + 8*y**2 - 10 in the form i*y + j*y**2 + d*y**3 + k and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14*((-54)\/(-105))\/(-3). What is a in t - 12\/5*a + 3\/5*a**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22201 and 447.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*s - 15. Suppose -4*z + 4*j = 0, -2*j - 16 = -5*z - j. Suppose 41 = z*i - 27. Solve -c - i = -d + 3*c, s*d - c = -10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932 = -7*m + 988. Solve -y + 3*x = m, -3*y = 4*x - x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 - 1367*m - 8268. Give v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxq when three letters picked without replacement from wzqxqhq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219403975*x**4 - 27*x + 1116586?\nAnswer: -2632847700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 - -298. Let v = 183.94 - l. Let m = v - 0.24. Round m to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23812243 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 18 = -0*d. Calculate the lowest common multiple of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348914.\nAnswer: 2, 3, 7, 32117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*u**3*v**4 - 7*u**3*v*z**2 - 3*u*v**4*z**2 + v*z**2 wrt v.\nAnswer: 264*u**3*v**2 - 36*u*v**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k. Let c be -1*2\/4 - ((-231)\/(-22))\/(-21). Let l(p) be the second derivative of -1\/12*p**4 - 13*p + 0*p**3 + c + 0*p**2. Determine l(n(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = 4. Suppose -7*d - 460 = -12*d. Suppose d = o*l + 8. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {t: 1, l: 1, p: 1, b: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, n: 5}. What is prob of sequence nn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-91) + 156\/308?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3783992 and 18531272?\nAnswer: 11432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:18 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190219083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 2*a + 1. Let m(h) = 5*h**2 - 13*h - 30. Calculate -7*i(s) - m(s).\nAnswer: 2*s**2 - s + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5\/5 - 8*v**4\/5 - 28*v**3\/5 - 16*v**2\/5 = 0 for v.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3 + 6*c**2 - 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 16*l**2 - 30*l - 30. Give x(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2276\/4)\/(11\/165)?\nAnswer: 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*r - 5*r = 18, -4*s - 5*r = 3 - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 128*z - 4096.\nAnswer: -(z - 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251397 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 43. Suppose -95 = -62*h + 67*h. What is the tens digit of z(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/344 and -33\/896.\nAnswer: 38528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/8*(9 + 1448). Let h = q + 553. What is the common denominator of (-2)\/6*(-30)\/(-32) and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 q when four letters picked without replacement from {c: 2, q: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -198*i**2 + 12*i + 263. Let p(b) = 393*b**2 - 26*b - 528. Let h(g) = 13*a(g) + 6*p(g). What is the first derivative of h(l) wrt l?\nAnswer: -432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-264)\/(-36))\/22)\/(2\/8))\/((-8)\/(-180))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 21 - 3. Suppose 0 = 3*v - 108 - u. Suppose 5*g = 4*b + 50, -g + 2*b = b - 9. Calculate the greatest common factor of v and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27093398 is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 161321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - q**4 + 0 - q**4 + 12*q**4 - 3*q**4 + (5*q**3 - 2 + 2)*(q + 0 + 0) - 7*q**4 + 3*q**4 + 3*q**4.\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104559 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29785 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -372290, 190, 1.\nAnswer: -372290, 1, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 24*f - 20. Suppose -5*v + 17 = 3*y - v, -y + 31 = -5*v. Let j be m(y). Which is the third smallest value? (a) -5 (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12668941955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + (4 - 4) + 20 + -13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -188, -289, -390?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*k - 15*k - 25*k)*(11*k - 7*k + 0*k)*(3 - 3 - k) - k**3 + 3*k**3 - 3*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**7\/210 - j**5\/30 + 2*j**3\/3 + 3. Let q(y) be the third derivative of a(y). What is the second derivative of q(v) wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3 - 50965*x**2 - 356804*x = 0.\nAnswer: -7, 0, 50972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-20))**(1\/8)*(t\/t**34)\/(t**(17\/2)\/t) assuming t is positive.\nAnswer: t**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.615 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j + 6 = 0. Let c(o) = o**2 - 5*o + 2. Let d be c(5). Suppose -d*b = j*b - 575. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 34*u = -38*u - 19240, 0 = 7*m - u - 33688. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n + 2 + n**3 - 22002*n**2 + 2*n - 14*n + 7*n.\nAnswer: n**3 - 22002*n**2 + 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {u: 3, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*n*q - 7*j**3*n - 3079*j**3*q**2 + 8*j**3*q - j**2*q - 7*j*n*q**2 + 133*j*q wrt q.\nAnswer: -6158*j**3 - 14*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 26*o - 1\/3*o**3 + 0 - 7\/30*o**7 - 1\/60*o**5 + 0*o**4 - 2*o**2 + 0*o**6. What is the third derivative of k(n) wrt n?\nAnswer: -1176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.47 rounded to zero dps?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.28. Let m = -0.12 + y. Which is the nearest to -2\/3? (a) -3 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.7 and 3181.\nAnswer: 3168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1031\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4+5558.5\nAnswer: 5562.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m - m + 40*m.\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(5\/(-240)*3). Suppose -5*r + y = 4*y - g, 4*r - 5*y - 97 = 0. Suppose r*m + 8 = 31*m. Solve -m - 3 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4211256 divided by 392?\nAnswer: -10743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 (base 9) in base 8?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 26*k**2 - 113*k - 452. Let u be m(18). Solve u*n - 148 = 143*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:03 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036852589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14907434?\nAnswer: 2, 709, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.67291 litres?\nAnswer: 3672.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (154\/55)\/(56\/(-30) - -2). Solve 3*c + 2*x + x = q, 4*x = 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10548899311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3389, 6769, 10149, 13529, 16909?\n\"Answer: 3380*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 17 = 3*s, 3*s + 124 = -5*w + 57 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/5 - (-96)\/160.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1794202047015.21 from 0.4.\nAnswer: -1794202047014.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**5 + k**4. Let r(d) = -4*d**5 - 6*d**4 - 2*d**2. Let z(i) = 6*m(i) + r(i). Find the third derivative of z(y) wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 14*f + 4. Suppose -f*t = -3*t - 1. Which is the third biggest value? (a) t (b) 0.1 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/(f\/f**(-1)))))**(-48)*f**8\/(f*f**1))**45 assuming f is positive.\nAnswer: f**2430","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350008783.\nAnswer: 350008783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2 - 117368*s + 352095 = 0.\nAnswer: 3, 117365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54591125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474536.\nAnswer: 2, 3, 7, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (519 - 520)*(3*(-3)\/810)\/((-32)\/40)\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*t + 7175 = 0, -t = -4*t - 9. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d = 2*h + 1, -3 = -5*d + h. Let u(j) = 3*j**3 + 0*j**3 + 0*j**2 + 13*j**3 - j**2. What is the remainder when 44 is divided by u(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 4. Let b = 16 + -2. Let t = -11 + b. What is the units digit of v(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 4340*j**2 + 13048*j + 8704.\nAnswer: -4*(j - 1088)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/((-15400)\/(-605)))\/(6\/(-8)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f**(-3\/2))\/(f**(-5)\/f**(2\/9)) assuming f is positive.\nAnswer: f**(193\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(486) - sqrt(486)*-4)*3 + sqrt(486))*-3)\/((sqrt(432) - (((sqrt(432) + sqrt(432) + sqrt(432) + -3*sqrt(432))*-3 - sqrt(432)) + sqrt(432)))*1).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 3528 = 17*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 2\/7, 10 in increasing order.\nAnswer: 2\/7, 3\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 9*l**7\/560 - l**6\/40 + l**5\/60 + 3*l**4\/2 - 4*l. Let m(x) be the third derivative of j(x). Factor m(o).\nAnswer: (9*o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.262 (b) 13.04 (c) 2\/11 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 + 238. List the prime factors of j.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-1))\/(5 + -4). Let r = 49 + -47. Suppose -g = -o*x - 400 + 122, 4*x = -r*g + 606. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (95*v + 26*v + 89 - 119*v)*(-7 - 4*v**3 + 7) to the form y*v**3 + k + d*v**4 + o*v + u*v**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -6. Let k = -658\/5 - -132. Which is the closest to k? (a) i (b) -2\/21 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -a + b, 30 = -a - 4*b + 65. Solve -4*h - 6*c + 9*c = 7, 4*h + c = -a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220096, -220959, -221822, -222685, -223548?\nAnswer: -224411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4230*u + 1857*u + 1497*u)*(-5 + 0 + 5 + 12*u) to the form i*u**2 + p*u + k and give i.\nAnswer: -10512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 2 - 2 + (3*g**2 + 0*g**2 - g**2)*(-1 + 1 - 2*g**2) + (3*g**2 - 5*g**2 + 4*g**2)*(2*g**2 - g**2 - 2*g**2).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from mmmmmazmmz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*1*3)\/(sqrt(110)\/(1*sqrt(11)*3)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*g - 4 = 0, -3*i + 3*g = 2*g - 12. Suppose -3*j = 4*y - 0*y - 18, j - i*y = -10. What is the third derivative of o**2 - 5 + 5 - j*o**5 wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:31 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.861605 millennia in years?\nAnswer: 9861.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:41 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {t: 5, q: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:47 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 438\/73*14\/30?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2376495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -3*i - 57 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -74 - d13?\nAnswer: -d87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.1 (c) 1 (d) 14 (e) 10.6 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - t. Let v be (-158)\/18 - (-2)\/2. Let a = v + 253\/36. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/9)*a**38\/a assuming a is positive.\nAnswer: a**(334\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 2:07 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6227 - -886. Round j to the nearest one hundred.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -r + 104 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 1\/4 (c) -440 (d) -5 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503173*p - 503175*p + 22*p**3 + 1006348*p.\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100011011101111100 (base 2) to base 7.\nAnswer: -13101422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (11 - 7) - 8) + (6 + -6 - -22).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 968 - -8873. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -108*d**6\/5 - d**4\/6 + 71*d**3\/3 + 217*d - 3. Find the third derivative of z(a) wrt a.\nAnswer: -15552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/11)*n**(-4)*(n\/n**(-1))**(-1) assuming n is positive.\nAnswer: n**(-68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - 3*s**4 + 3*s**4)*(-2*s + 3*s - 3*s) + (-1 + 1 - 2*s)*(-33*s**4 + 10*s**4 - 8*s**4).\nAnswer: 58*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -66594\/5 at least as big as -13320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/26787, -2, -3, 0.4 in increasing order.\nAnswer: -3, -2, -16\/26787, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -h + 3*g, -h + 368 = -10*g + 11*g. Calculate the remainder when 1104 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 22 (c) -5 (d) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 4*t**4 - t**4 + (-4*t**2 + 2*t**3 + 4*t**2)*(0*t + 3*t - 4*t) - 2*t**3 - 2*t**4 + 2*t**3 - 3*t**4 - 2*t**4 + 15*t**4 + t**4 + t**4 - 3*t**4.\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 5)\/(295302\/98433 + -3). Suppose 2*m + 3*q - 196877 = 0, m - u = -0*m + 4*q. Suppose 6*r = m + 29963. Round r to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -194, -635, -1500, -2933, -5078?\nAnswer: -8079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/4 + 35*d**4\/12 + 479*d**3\/6 + 137*d. Find the second derivative of h(q) wrt q.\nAnswer: 30*q + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/17 + 2\/17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934879 is divided by 2487.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -306768.485 rounded to the nearest 10?\nAnswer: -306770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 25, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (-4 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3702*u - 2141 - 19255 = 11623 + 15107 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2074 - -147. Let a = n + 4441. Suppose a = 5*m - 2*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19507 * -3\nAnswer: 58521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v. Let b be d(1). Suppose -i + 12 - b = 0. Calculate the least common multiple of 3 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -8*h**2 + 289404*h - 144700 = 0.\nAnswer: 1\/2, 36175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose -h*f + f = 0. Let d(k) be the third derivative of -k**4\/24 - 4*k**3\/3 - k**2. Determine d(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -3. Let p(s) = s - n + 3 + 2. Let i(x) be the third derivative of x**4\/12 + x**2. Give p(i(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8994326, -8994327, -8994328, -8994329, -8994330?\n\"Answer: -x - 8994325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(1*(4 + -2)). Let l(f) = 237*f**2 + 4*f - 3. Let j be l(r). Suppose -j = -2*m + 344. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441965.9 kilometers to meters.\nAnswer: 441965900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 11*c**5 - 2015*c**4 + 190*c**3 + 32240*c**2 - 5856*c = 0.\nAnswer: -4, 0, 2\/11, 4, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -71022.\nAnswer: -639198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 21 = 5*k, -2*k - k = 5*a - 5. Let q = 6 - a. What is the least common multiple of 2 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/20)\/((-99)\/72).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 134690?\nAnswer: 134695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*2\/(-18)*-3. Suppose p*r = 2*r - 44. Suppose 4*c - 27 = -3*o - 3, -5*c = 5*o - 30. What is the remainder when r is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h + 7. Let s(n) be the third derivative of n**5\/30 - 16*n**2 + 1. Calculate s(b(f)).\nAnswer: 98*f**2 + 196*f + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 2. Let m = 1 + n. Suppose m = -2*j + 22 + 28. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3388*-1.4.\nAnswer: 4743.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-4)*16\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211\/2 + 2747\/26. Which is the closest to 2\/3? (a) -3 (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w - 3 = 0. Let o(f) = -7*f**2 - f. Let x(u) = 6*u**2 + u. Let y(b) = 5*o(b) + 6*x(b). Let q(g) = -2*g**2 - 4*g + 2. What is w*q(p) - 4*y(p)?\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75330237299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {j: 11, i: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (8 - -20) - (0 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**4\/12 + 26*i**2. Let j(w) = 4*w + 3. Let n(t) = -12*t - 8. Let l(r) = 8*j(r) + 3*n(r). Determine l(z(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(12\/48*-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165491.2633 rounded to the nearest 10?\nAnswer: 165490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054980077 to the power of 1\/3, to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15336 divided by 426\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 284.6489111 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248948.\nAnswer: 2, 3, 34693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + j - 18 = 0, -u + 0 = 4*j + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 145 - 96 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31888\/(-9965)*4\/((-32)\/100)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxsskkxkxk. What is prob of sequence xxxk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 54314?\nAnswer: 54312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1123, -2271, -3419, -4567?\nAnswer: -5715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -43*h + 116*h - 37*h - 3*h**2 - 36*h. Let y(m) be the third derivative of m**5\/60 - 2*m**2. Give y(j(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-39)*1027\/(-158)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -34\/109, 1, -0.07, 4 in descending order.\nAnswer: 5, 4, 1, -0.07, -34\/109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 0*g + 0*g + (-1 + 2 + 1)*(-2*g**2 + 3 - 3) - 11*g**2 + 0*g**2 - 4*g**2 + (-4*g + g + 4*g)*(3 + 3 - 5)*(2*g + 2*g - 5*g).\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*w = 410*w. Which is the nearest to w? (a) 4 (b) 2\/35 (c) -2 (d) -3\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -546 - -822. Find the common denominator of (a\/(-154))\/((-8)\/84*6) and (-10)\/(-32)*-10*-1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**2 + 3*y - 2*y**4 - 3*y**3 - y**4 - 6*y**2 to the form x*y + q*y**4 + j*y**2 + v*y**3 + m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - -72?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 55. Suppose -31 + 307 = u*y. What is the first derivative of 5*j - 13*j - y - 7*j - 13*j wrt j?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45263580, 90527163, 135790746?\n\"Answer: 45263583*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -540*v**5 - 331 + 331 + (5*v + 2*v - 5*v)*(-v**2 - 2*v**4 + v**2).\nAnswer: -544*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1066 - 3181\/3. Which is the nearest to 0? (a) 3 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 4*k + 2*n = 28, 24 = k + 5*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44.66 + -55.1. Round g to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.42338g in kilograms?\nAnswer: 0.06642338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 3*n**2 - 2*n. Let x(w) = -4*w**3 - 6*w**2 - 10*w. Let t(p) = 4*p**3 + 6*p**2 + 9*p. Let z(f) = 6*t(f) + 5*x(f). Determine -7*u(s) - 4*z(s).\nAnswer: -2*s**3 - 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 8:38 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 147 - 108 = 0. What is the common denominator of (-741)\/(-36) - (5 - x\/9) and 77\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5\/2)\/k)\/k)\/k**(1\/44) assuming k is positive.\nAnswer: k**(-199\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Let h = 9 + -7. Let k = h - 1.7. What is the third smallest value in o, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 467*z**2 - 16 + 41*z**2 + 17 to h*z**2 + l + c*z and give h.\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*-3)\/sqrt(2) + sqrt(7))**2 + sqrt(28)\/(-3*sqrt(4)).\nAnswer: -sqrt(7)\/3 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.287 (b) -4 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27144 divided by 1044\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = -1. Suppose -5*f - a + 3 + k = 0, 2 = a. Solve -f = 4*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 1652*h + 1652*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmjm when four letters picked without replacement from ijrmmjrmirrjrmmmm.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 13*j**2 - 14*j + 26. Let v be w(12). Suppose a - 270 = -v*a. Calculate the greatest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 61*f. Is w(1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041862.\nAnswer: 2, 17, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 20*t + 120. Let i be u(-6). Solve -4 = -p - 5*b + 4, -3*p - 3*b + 12 = i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 69083?\nAnswer: 207249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/19*119\/(-357).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97802.31 centuries to years.\nAnswer: 9780231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 28*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w**3 - 132*w**3 - 364*w**3 + 346*w**3.\nAnswer: -242*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = -0. Suppose p*c = -c - 15, -5*b - 4*c + 18 = 0. What is the smallest common multiple of 448 and b?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 - h**2 - 14*h**3 + 4*h**3 - h + 7*h**3 to x*h**3 + f*h + s*h**2 + y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 0.1, 12, 6, 22, 1, 4.\nAnswer: -99, 0.1, 1, 4, 6, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -14 + 7 - -41) + -10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y**2\/5 - 42*y + 204\/5 = 0. Calculate y.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + -3*sqrt(68)) + (-1 + sqrt(68)*-1 + 5)**2.\nAnswer: 8*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 7 - -19 - 19 - 26?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000129232 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 6*v**2 + 6*v - 6. Let m be (-1)\/((-2)\/16) - 4. What is the tens digit of t(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1964 times -674\nAnswer: 1323736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-11)\/((-22)\/(-4))). Let g = 0 + 3. Let v*x + 6*x**g - 5*x - 3*x + 2*x - 3*x**2 + 3*x**4 = 0. What is x?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z\/z**(-5)*z)*z**(5\/4))**42\/((z\/z**(-1))**(-3\/10)\/(z\/(z\/z**1*z*z))**(-20)) assuming z is positive.\nAnswer: z**(-2629\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -31ec76e?\nAnswer: -31ec76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 9 = -b, 0 = -2*b + 3*b - 3*j - 51 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 4*a**2 - 2*a + 9. Let q(k) = 2*k**3 + 8*k**2 + 4*k - 19. Let m(n) = 13*j(n) + 6*q(n). Calculate m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:19 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/75 - x**4\/15 + 2*x**3\/5 - 105*x**2. Factor v(n).\nAnswer: -4*(n - 1)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)*x)**(-3\/26)\/((x\/((x**(-2)\/x)\/x))\/((x**(-7)\/x)\/x)))**39 assuming x is positive.\nAnswer: x**(-4413\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 - 1250*n**3 - 400 + 5*n**3 + 250.\nAnswer: -1245*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:41 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 9 + 5 + 45*q**3 - 68*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 14 - 2 - 7 + 0. Let x be h(26). Suppose 3 = -s, -5*c - x*s = -c - 799. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*k - 6*k + 3*k)*(-3 - 5 + 7) + (-2 + 5 - 4)*(6*k - 4*k - k) - 2*k - 1 + 1)*(-2 + 0 + 3)*(-k - 8*k + 2*k) in the form n*k**2 + o*k + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/11))**(-25))**(3\/14) assuming r is positive.\nAnswer: r**(-75\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - 24*c + 3. What is q(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8458603070 rounded to the nearest 1000000?\nAnswer: -8459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01276 and 11489.\nAnswer: -146.59964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33461*a*z**2 - 130*z**2 + 52 wrt a?\nAnswer: -33461*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 + 24 + -14 + -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(304) + (sqrt(304) - -4*2*sqrt(304)) + -4)*-4 + 5)**2.\nAnswer: -6720*sqrt(19) + 486841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6)*w*w*w\/(w**1\/w))\/(w**(-2\/17)*(w**3*w)\/w*w*w*w) assuming w is positive.\nAnswer: w**(-311\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-35) - (-123)\/(-7). Let d = 15 + v. Let j = d + -1. Which is smaller: -10\/3 or j?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-55)\/66*(-27)\/30. What is the third smallest value in y, 6\/11, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 - 136. What is the second biggest value in l, -0.4, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -4 - (-3)\/(-9)*0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, u: 5}. What is prob of picking 4 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*c**5*h + 44344*c**4*h + 103*c**3 - 6*c**2*h - 2*c**2 + 392*c*h - c + 3*h + 235 wrt c.\nAnswer: 660*c**2*h + 1064256*c*h + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194075*c**5*u**3 + 2*c**2*u**3*z - 2*c*u**3 - 10*c*u**2 + 278*c*u - c*z - 2*u*z wrt c?\nAnswer: -3881500*c**3*u**3 + 4*u**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 117*h + 1 + 14*h**3 - 1778563*h**2 + 1778563*h**2 to the form y*h**4 + i*h**2 + b*h**3 + w*h + c and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(14\/(-84)). Let b(g) = 3*g**3 - 3*g**2 - 3*g - 6. Let w(c) = -c**2 - c - 1. Let z(f) = k*w(f) - b(f). Differentiate z(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j + 8 - 6*j**5 + 4*j**5 - 8 wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 92.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 31 = 7*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-14))\/((-288)\/(192\/(-6)))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8712.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137.583 - -138.2. Let z = 0.117 - v. Which is the biggest value? (a) 5 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -33*t + 101. Let w be s(3). Let j(u) = -3*u + 5. Let x(h) = 7*h - 11. Give w*x(b) + 5*j(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 7*f + 8. Let i be z(-6). Suppose 5*h + 6 = 2*t + 2, -5*t = -2*h - 10. Let p(a) = 16 + 12 - 28 - i*a**t. Let g(m) = 2*m**2. Give p(g(c)).\nAnswer: -56*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 - 5. Let q be (-38)\/40 - (-2)\/(-8). Let s = -14\/5 + 32\/15. Which is the second biggest value? (a) q (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k - 2 = 0, 4*m = -3*k - 643. Let a = m + 106. Let v = -50 - a. Solve 2 = v*d - 3*s - 2, s + 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-12))\/(2\/8). Let y(k) = k - 1. Let m(n) = 3*n**4 + 6*n**3 + 3*n**2 - 3*n + 3. Let z(j) = v*m(j) + 3*y(j). Find l, given that z(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 1 - 1)*(-5 - 2 + 2)*(-24*z**2 - 3*z**2 - 40*z**2) to q*z**2 + a*z + i + p*z**3 and give p.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = -4. Let w = -4 + 6. Solve -3*b = w*g + 3*g - 23, -h*b + g = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1133995044 by -11571378.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 6 = 3*o. Let z(r) = -14. Let u(t) = 19. Let g(q) = 3*u(q) + 4*z(q). Let m be 0\/(-5 + 2) + -1. Let v(i) = 2*i**2 + 2. What is m*v(l) + o*g(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 - 1 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = -218*g - 74. Let q(l) = l**3 + l**2 + 3. Let d(m) = 3*m**3 + m**2 + 6. Calculate g*d(b) - 5*q(b).\nAnswer: 4*b**3 - 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*c + 34, -l + 4*c = 3*l - 24. Let b be (-2)\/1*(-30)\/12. Let n = -2 + b. Solve n*y = l*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3 - (-118 - -132)) + -17?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214325 (base 6) to base 15.\nAnswer: -5442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -4*w**6\/3 - 9*w**5\/20 - w**3\/3 + 297*w**2\/2 - 126*w + 1. Find the second derivative of n(x) wrt x.\nAnswer: -480*x**2 - 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3))**(1\/51)\/(r**(1\/3))**40 assuming r is positive.\nAnswer: r**(-683\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29932.\nAnswer: 2, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51194 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35112, -34832, -34548, -34260, -33968, -33672?\n\"Answer: 2*g**2 + 274*g - 35388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*i**2*p**2 - 11045*i**2*p - 66*i*p**2 wrt p?\nAnswer: -54*i**2 - 132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3855 and 965226.\nAnswer: 1240315410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -485*w**2 - 1362*w**2 - 224*w**2 - 586*w**2.\nAnswer: -2657*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*u + 50, -u + 3*u - 2 = -l. Let g be 650\/70 + (-2)\/7. What is the remainder when -30*((-33)\/g + 3) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 7 - 2*y**3 - 5 + y - y**4 to t*y + f + a*y**2 + j*y**4 + m*y**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34a72643 - 1?\nAnswer: -34a72644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5859 and 1891.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 9 = -a. Suppose 0 = u - 4, 5*g + 4*u - 9 = -a. Let o(s) = -10*s. What is the remainder when o(g) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyypypp. Give prob of picking 3 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19155 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2*j**2 + 2 - 6*j**3 - 5\/2*j**4 + 6*j = 0. What is j?\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606200 - 606200 + 3*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1672*o**2 - 107116*o**3 - 4172*o**5 - 250*o**5 + 924*o**5 + 107116*o**3 wrt o.\nAnswer: -209880*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = -6*o. Let p = 7 + -5. List the prime factors of 6*1\/p - o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23682841, 23682837, 23682833, 23682829, 23682825, 23682821?\n\"Answer: -4*d + 23682845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 204, 389, 574, 759?\n\"Answer: 185*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*t - 50 = 0, -t - 4*t - 46 = 2*c. Let a be (-114)\/c + (-2)\/6. Solve -2*j + a + 2 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285176757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.09 (b) 135 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*t - 18*t**3 - 99*t)*(-t - 2 + 2) + (t**2 + 2*t**2 - 5*t**2)*(t + t**2 - t) - 2 + 2 + t**4 + 0 - t**4 + 0 - t**4 - 4*t**3 + 4*t**3.\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*i - 11, 1420 = 4*h - 5*i + 1399 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {q: 7, g: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 16. Let c(b) be the first derivative of -b**2 + 33*b - 8. Let k(l) = -4*c(l) + 9*p(l). Does 5 divide k(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 183, 0.2, 3\/4, -875302?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 3*i - 6, -5*y + 2 = -5*i + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/12 - 5*u**3 - u**2 + 10. What is the smallest common multiple of 11 and l(-29)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 - 604*n + 28*n**2 + 1797*n - 597*n - 596*n + 3.\nAnswer: 18*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1540*a*j*z**3 + 2*a*j*z**2 + 6*a*j*z - a*j + a*z**3 - 7*a + 35*j*z**3 - 3255*j*z**2 - 7*z**3 - 2*z + 4 wrt z.\nAnswer: -9240*a*j + 6*a + 210*j - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - 40. Let l = z + -39. Suppose -l*u = -29*u + 265. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 2*x + 1. Let k be s(4). Let f = -10151 - -10156. Solve -10*z + k = -f*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*n + 12484 + 1824. Calculate the greatest common divisor of 3650 and n.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 0, 3, 21\/19, 40, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/((-40)\/80).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*c - g - 2*g, -c + 2*g - 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 37*v**2 + 27*v + 126. Give z(36).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49500\/(-20625)*25\/16*-2. Solve -5*p + 5\/2*p**5 + 5\/2*p**3 + 0 + 15\/2*p**4 - t*p**2 = 0 for p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20477976 and 12.\nAnswer: 20477976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and -15.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5cc - 5?\nAnswer: 5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-520)\/(-50) + ((-10)\/25)\/1)\/4.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from vvqvvvvvqvvqvv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*t = -30, 4*w + 4*t = 2*t + 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 520606\/287570 - ((-12)\/(-30)*-8 - -5)\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3\/2 (c) 0 (d) 4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 670.\nAnswer: -670.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 2. Let s(d) = d - 7. Let p(f) = 7*r(f) + 2*s(f). Let w(o) = -4*o. Calculate p(w(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:49 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from xcczccazyxz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsbsbsjzssbzsyzzsw. Give prob of picking 1 y and 3 z.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170 (base 8) in base 14?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4574 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/4 + c**3 + c**2 + 3*c + 6. Let m be o(-2). Solve q = m*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42\/11 + -148\/33. Let p(g) = g**2 + 6*g. Let d be p(-5). Which is the biggest value? (a) 9 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17569231 - 0.1757. Round q to 7 dps.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/9))**(-47)*(r\/(r*(r*r\/(r*r**(-24)))\/r))**(-2\/5))**27 assuming r is positive.\nAnswer: r**(4116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -49. Let m = -3 + 1. What is the second smallest value in 2, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g + 4. Let k(a) = -a + 1. Let r(z) = 6*k(z) - q(z). Suppose u - o = 3, 6*o = 5*o - 1. Determine r(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/9 - 21910*s\/3 - 120012025.\nAnswer: -(s + 32865)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -6)*-1*12\/(-36). Let d be (-5)\/(-3) + j\/(-6). Solve -2*g = d*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (66\/(-5))\/((-60)\/400). Let a = 215 - r. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -43. Suppose 5*g = 3*a + m, 3*a = 3*g + 17 - 53. Let l be 65\/150 + a\/20. Which is smaller: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 15 - 10. Is 29 a factor of -1 + 91 + -8 + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2155709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -7 - (-636)\/(-3). Let i = u - -257. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*p + 78*p - 37*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) 0.3 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7 = 5*s, s + 0*s - 9 = -2*d. Suppose -4*h = -h + 3*x - 66, d*x = 12. What is the remainder when 35 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.7381 minus 186?\nAnswer: -161.2619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 50. Let x be u(13). Suppose 5*z = -x*l - l - 62009, -z - 12385 = -5*l. What is z rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dngvng. What is prob of sequence gvnn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/1573? (a) -1\/5 (b) 8 (c) -2\/5 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6510849, 13021696, 19532543, 26043390?\nAnswer: 32554237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2 + 2804572*c - 117788496 = 0.\nAnswer: 42, 1402244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40372 - -40379. What is the fourth biggest value in 0.6, 4, o, 5\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34489184.05022 + -34492687. Let y = s + 3497.95. Let l = -5 - y. Round l to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -159.157.\nAnswer: 254.6512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 148331218 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 26. Let i be 2*(-3)\/2*k\/9. Solve 3 = 4*q - i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8eed + 21e7?\nAnswer: -6d06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8750021 and 10000024.\nAnswer: 70000168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 divided by -1?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10072*b + 80585. Calculate s(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:00 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1452507*p**2 - 2904960*p**2 - 229*p**3 + 1452453*p**2.\nAnswer: -229*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 1. Let g be b(-2). Let x be 5925\/35 + (-2)\/g. Let m = x - 121. What is m rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - -19)*(81\/(-15))\/3. Sort 0.1, -0.5, c.\nAnswer: c, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7671 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: Sort -5, 4, 3, -1, 6.\nAnswer: -5, -1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231, 8, 639 in descending order.\nAnswer: 639, 231, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71459\/3383831 - 1\/11957. Let u = 499329260\/1603760151 + -2873\/115653. Let v = k + u. Calculate the common denominator of v and 81\/4.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 138, 299, 526, 819?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 9*p**2 - 12*p + 13. What is s(-8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 1, 2*w + 2*r - 4*r - 180 = 0. Suppose 0 = -0*f - f - 5*g + w, 4*f - 461 = g. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 - 5*t**2 + 87)*(2*t + t - 4*t)*(4 - 1 - 1).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**3\/3 - 3*r**2\/2 + 6*r + 1. Let p(s) be the second derivative of -s**3\/6 + 3*s**2\/2 - 3*s. Let j be p(8). What is l(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 50, 68, 88, 110, 134, 160?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than -1657195101?\nAnswer: -1657195100.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*f - 18 = 0, -5*j - 32 = 12*f - 8*f. Let s(p) = -14*p - 5 - p**3 - 1 - 12 - 7*p**2. Does 31 divide s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 23. Let k = 59 + -55. Suppose 3*y - 2*b = -0*y + 45, -k*y + 60 = -3*b. Suppose -3*h + 5*m = -h + y, 6 = -3*h + 2*m. Give r(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, -6, 3 in ascending order.\nAnswer: -6, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 690657503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49621567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/26, 2\/9, -4, -5.\nAnswer: -5, -4, -1\/26, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103*o - 24763 + 24763)*(2 - 3 + 4) to r + u*o and give u.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -627, 1\/9, 2, 0.5, 0.4, 5 in ascending order.\nAnswer: -627, 1\/9, 0.4, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 5*l**2 - 6*l - 5. Suppose -3*i + 0 = -78. Let p = 3983 - 3953. Suppose -i*u + 21*u = p. Calculate z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 = 0, 0 = 4*b - 3*h + 2*h - 15. Suppose g - 6 = -b. Find the second derivative of 4*q + 2*q + 0*q**3 - 4*q + 3*q**g wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z + 42*z + 8 = 0. Let f be (z - 5 - -2)*0. Solve 3*j + j - 12 = f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -78*u + 8288. What is i(106)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 (base 7) in base 15?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -18*((-56)\/12 - -4 - 0). Suppose o*j - 14 = 10. Let m(q) = 2 - j - 991*q + 992*q. Let i(p) = -13*p. What is m(i(g))?\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 285*r + 171*r - 5)*(17 + 13 - 1).\nAnswer: 13224*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 1. Let m = 13 + w. Let n(h) = -h**3 + 6*h**2 - 4*h - 1. Calculate the lowest common multiple of m and n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4054*y**6 + 51*y**3 - 436769*y**2 - 2*y wrt y.\nAnswer: 486480*y**3 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5c7 (base 13) to base 7\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.3, -2\/5, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81725.92 minutes to nanoseconds.\nAnswer: 4903555200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 49?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/16 + 9 + (-1)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9400.3 less than 121?\nAnswer: 9521.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3 + 30*m**2 - 72*m = 0.\nAnswer: 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzzvvzdzvz. Give prob of sequence vdv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in -2, -2\/7, 5, -24, 137?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-83)\/(-63910)*-84)\/((3\/(-3))\/(-40)).\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5431385 - 5431385 - 931*f to the form s*f + k and give s.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712798 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1019*j + 2 - 1047*j + 2)*(1 + 3 + 3).\nAnswer: -196*j + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1088) + -3 - sqrt(1088)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 407 and 16390778.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0436 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -28*l**2. Let f(r) = -r + 138. Give f(t(p)).\nAnswer: 28*p**2 + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/325, 0, 47, 3\/5, 1 in decreasing order.\nAnswer: 47, 1, 3\/5, 0, -1\/325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 0*o)*(-2*o + o + 0*o) + (-9*o + 4*o + 8*o)*(-2*o + 5*o + 0*o).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - (-301)\/2)\/45 and 16\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*k**3 + 2*k - 2*k.\nAnswer: -108*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**6\/3 - 2*a**5 - 5*a**4 - 20*a**3\/3 - 5*a**2 - 2*a + 17. Factor r(y).\nAnswer: -2*(y + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 + -22231?\nAnswer: -23110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.9203l?\nAnswer: 2920.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2 = -c, 0 = 5*h - 3*c + 7*c + 3808 - 3798 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s\/(s*(s\/(s\/(s**(1\/5)*s))*s)\/s))\/s))*s\/(s\/(s*s**(-8))))**2 assuming s is positive.\nAnswer: s**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) 3\/4 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0354 - 0.3646. What is the second biggest value in -1, -4, f, 1, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)*t**(-18) assuming t is positive.\nAnswer: t**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + 1.07. Let i = 4.97 - w. Which is the nearest to 0? (a) 1\/5 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + 26\/24)\/((-60)\/260) and -73\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -304, 3\/5, 0.3, -11, -26\/3?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -19*p - 8 + 9 + 20*p. Let u(x) be the first derivative of -x**2\/2 + 3*x - 2. Let s(y) = 2*f(y) + u(y). Calculate s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -50. Let n = 944 + -942. Suppose 123*m + n*l = 120*m + 44, 3*m + 5*l - 56 = 0. What is the lowest common multiple of m and j?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -18*y + 2. Let k be u(-1). Calculate the highest common factor of k and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1379272198 to the nearest integer?\nAnswer: 37139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrcrrbrblbrrmbccrrr. Give prob of picking 1 c and 1 r.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4*m - 3*m - 3.\nAnswer: m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -434*b + 2166. Let h be i(5). Let m(f) = -f**2 + 5*f - 3. Let z be m(4). Let u be (z + -2)\/((-2)\/(-6)). What is the closest to -1 in h, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1297*p - 956*p - 682 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - 3 - -20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733119 is divided by 7912?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 7*y + 9. Calculate the remainder when n(-8) is divided by (-64)\/24*15\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by (24\/(-30))\/(44\/(-1210)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t + 2*u - 0*u, 5*t + 9 = -3*u. Which is the nearest to 1\/11? (a) -4 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(40)\/sqrt(4))*-2.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147817269?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 137 + 264*k - 73 + 283*k - 64 in the form b + a*k and give a.\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - z + 5. Let q(j) = -2*j**2 - j + 4. Let p = -12 + 7. Let a(v) = p*q(v) + 4*i(v). What is the second derivative of a(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 41*u + 19. Let a(o) = -69*o - 32. Let y(n) = 3*a(n) + 5*x(n). Let p(i) = -10*i - 6. Let c(l) = l**2 + 8*l - 7. Let h be c(-5). Give h*y(q) + 4*p(q).\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 + 11*g**2 - 3*g + 11. Let n be o(6). What is the units digit of n\/7 - 6\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6*z + 114. Let u = z - 27. What is the remainder when 21 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1649185+-90509641\nAnswer: -92158826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14\/3 - 440\/93. Which is the second smallest value? (a) l (b) 0.5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -240*r - 182. Let h(j) = -j**2. Give h(k(t)).\nAnswer: -57600*t**2 - 87360*t - 33124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41779?\nAnswer: 41, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - u + 1. Let k(b) = -8*b**2 + 8 + 257*b - 783*b + 257*b + 259*b. Calculate -k(l) + 10*p(l).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-100)\/(-22) + 41 + -45.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and -684771462?\nAnswer: 684771461.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3115366843?\nAnswer: 547, 1051, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.8072333 and -8.3.\nAnswer: -11.1072333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1010010011120102?\nAnswer: -1010010011120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*o**3 + 324*o**3 - 627*o**2 + 301*o**3.\nAnswer: 2*o**3 - 627*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -2*s - 2, -2608*a = 3*s - 2613*a - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, 211, -2, 133, 5 in descending order.\nAnswer: 211, 133, 5, -2, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2. Let n(g) = -g**2. Let f(a) = -n(a) - s(a). Let b(r) = 8*r. What is f(b(p))?\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5621 < 5618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let q(i) = i - 5. Let v be q(7). Let r(u) = 5*u**2 - 2*u**2 + 5*u**v. What is j(r(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 18 - 7*n**3 + 2.\nAnswer: -7*n**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -7, -3, -4, 78 in descending order.\nAnswer: 78, 4, -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*c + 6 = 10, 0 = 5*k - c + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.08 + -5. Let d = -0.83 + i. Round d to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615, 1227, 1853, 2499, 3171?\nAnswer: 3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4 + 800*c**3 + 173*c**2 + 3*c - 6?\nAnswer: -48*c + 4800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a. Let g = 674 - 671. Let v be (679\/84 - 8)\/(g\/(-8)). Put 0.3, -3, a, v in decreasing order.\nAnswer: 0.3, a, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1)\/(1\/2). Let l(y) = -y**2 + 6*y. What are the prime factors of l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d - 9. Let q(i) = 3*i - 4. Let f(a) = -6*l(a) + 13*q(a). What are the prime factors of f(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3061 is divided by 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-8))\/(426\/(-2272)). Let t(a) be the second derivative of 15\/2*a**n - 16*a + 5\/2*a**3 + 0. Find the first derivative of t(d) wrt d.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 925200 by 15.\nAnswer: 61680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.748 to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 1. Let d(s) = s**2 + s. Let w be d(-1). What is the units digit of x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r**3 + 13*r**2 - 41*r + 183. What is the units digit of q(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25)\/30*-2)\/(5\/6). Suppose -2*m - u*m = 5*h - 37, 0 = m - 3. Solve -f + 9 + 8 = -3*r, 0 = 5*r - h*f + 45 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(5\/8)*s)\/s*s*s\/(s*s\/(s*((s**29*s*s)\/s)\/s)) assuming s is positive.\nAnswer: s**(253\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 77, 82, 101, 140, 205, 302?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.122265 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 8*i + 17. Calculate the remainder when w(7) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c**2 + 9*c + 7. Let k(y) = 7*y**2 + 4*y + 3. Let q(p) = -5*k(p) + 2*n(p). Let j(l) = -749*l**2 - 23 + 25 + 4*l + 764*l**2. Give 4*j(t) + 9*q(t).\nAnswer: -3*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 29*o - 4 + 75*o - 5 + 10 in the form s*o + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*p + 18, 0 = 4*l + p - 3 + 39. Let q be l - (6\/(-8))\/((-5)\/(-20)). Let s(c) = -c**2 - 4*c + 7. What is s(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*33\/12 - 3\/6. What are the prime factors of (m - (-60)\/9)*(-228)\/(-2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from rdqdn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - j**3 + (-j + 2*j + j)*(0*j**2 - 2*j**2 + j**2) - 2*j**3 + 5*j**3 - 4*j**3 - 3*j**3 + 15*j + 2*j**3 - 13*j.\nAnswer: -5*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/7 - 1098*s**4\/7 - 65578*s**3\/7 + 274338*s**2\/7 - 347560*s\/7 + 139896\/7 = 0. Calculate s.\nAnswer: -58, 1, 2, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 868984.1 milligrams?\nAnswer: 868984100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 122*g**2 + 316*g + 11814. Give k(-60).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 26 = 15*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(-2\/125))*c*c**(-4\/9)*c**17*c**(-4) assuming c is positive.\nAnswer: c**(15232\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-53091)\/342810 - (-2)\/13. Let m = v + -60011\/52740. Calculate the common denominator of -85\/18 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 86*m**2 + 82*m + 6806. Give z(-86).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2544\/(-3604)*(-51)\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3 - 21*g**2 - 214*g + 504 = 0.\nAnswer: -9, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c**5 + 0 + 7\/24*c**4 - 2*c**2 + 1\/112*c**8 + 0*c**6 + 0*c**3 + 0*c**7 + 0*c. What is the second derivative of m(n) wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37144563, 37144562, 37144561?\nAnswer: 37144560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (2 + sqrt(1331))) + -4 - (sqrt(1331)*2 + 3).\nAnswer: -22*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -850565*i. Let g(o) = 10566*o. Determine -402*g(z) - 5*h(z).\nAnswer: 5293*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1420104 (base 5) to base 3.\nAnswer: 1111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 16 = -5*z + 4*b, 0 = -2*z + 5*b - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 9 = 2*f, -6*d + 10*d - f + 23 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23138141599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5234265, -5234269, -5234273, -5234277?\nAnswer: -5234281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -16*r + 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 e when four letters picked without replacement from auuguauue?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-28) - 8\/(-28)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 182*y**2 - y + 492*y**2 - 146*y**2)*(-1 - 1 + 3).\nAnswer: 528*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.784 + -12.7. Let g = a + 1.153. Let c = 0.207 - g. What is c rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = n - 5*i, 4*n + i = 2*n + 80. Let g = -2160 - -2176. What is the greatest common factor of g and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 12. Let l = 13 - c. Let a = 0.8 - -0.2. Sort 3, l, a in decreasing order.\nAnswer: l, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16545599699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 2*x**2 + 2*x + 15. Let p(n) = 10*n**3 + 10*n**2 - 11*n - 75. Determine 2*p(k) + 11*s(k).\nAnswer: -2*k**3 - 2*k**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054200?\nAnswer: 2, 3, 5, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -14070 < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/2)\/(-10))\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 38*w\/3 + 12.\nAnswer: 2*(w + 1)*(w + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 65 (b) 3 (c) 2\/7 (d) -4 (e) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -68*b - 30. Let m be f(5). Let k = 856 + m. Round k to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140913457.\nAnswer: 140913457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18.2019 months?\nAnswer: 0.01516825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 25. Let o be (1 - u)*4\/(-2). Let f(j) = 2*j + 2 - 1 - 4. Let s(n) = -2*n + 2. Give o*f(h) - 3*s(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-14))\/((-4)\/(-24)). Solve 6*j = 3*j - r*c - 15, j - 4*c = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i + 32. Let m be (-12)\/i*8\/6. What is the units digit of 5 + 3\/(3\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + sqrt(6)\/sqrt(2))**2*4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5270453 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 35 = -5*z, 88*c - 87*c - 29 = -6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*s + 16 = 0, 0*s - 3*s = 3*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11365938 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*s**2 + 8\/5*s**4 + 0 + 0*s - 6\/5*s**3.\nAnswer: 2*s**2*(s - 1)*(4*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -325*j + 23 + 162*j + 18*j**2 + 166*j + 3*j**3. Let r be g(-6). Put r, 1\/5, 0.009 in decreasing order.\nAnswer: r, 1\/5, 0.009","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 5 - 5.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 4*x**2 - 3. Let n be w(-4). Let f = -54\/37 - -452\/259. Which is the nearest to n? (a) 0.2 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than -700164?\nAnswer: -700164.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/13 - 8*y**2\/13 + 24*y\/13.\nAnswer: -2*y*(y - 2)*(y + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -86\/5. Let t be (-117)\/(-45) - 18\/9. Factor t*w + h*w**2 - 4\/5.\nAnswer: (w - 1)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -10. Let i = 7.9384 + -0.0784. Let x = i + -6.86. Which is the biggest value? (a) -5 (b) 0.1 (c) x (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111110 (base 2) to base 3\nAnswer: 21001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -1\/5 (c) -35 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3, -2\/13, 5\/8, 10.8 in increasing order.\nAnswer: -2\/13, 1\/3, 5\/8, 3, 10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 79a2 (base 12) to base 9\nAnswer: 20475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g + 5*u = 49*g - 39, -2*u = -3*g + 130. Solve -28 = -12*p + g for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2. Let p(d) be the first derivative of 2*d**3\/3 + 18*d**2 + 29. Determine p(r(u)).\nAnswer: 2*u**4 + 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664*q + 55 = -653*q. Sort -2\/13, 39, 3, q, -4 in descending order.\nAnswer: 39, q, 3, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5 - 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1457*a + 0 - 1405*a + 2909*a + 0.\nAnswer: 47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7219 + -7564.1. Let q = b + 238. Let t = -103 - q. What is t rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00793 to four decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64 - -1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2175 * -1325\nAnswer: -2881875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0283639451 rounded to 6 dps?\nAnswer: -0.028364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 + 36*c**2 + 31*c - 30. Let s = -59 - -89. Let x be i(s). Round x to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*w + d + 4, -4*w + 4 = 2*d. Let i be (-2)\/5 - 27\/(-5). Solve -i*h = 7 - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 11 + 27\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 590 - 589.8855. Round s to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 25*u**2 - 157*u + 892. Give o(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m + 3. Let q be y(-4). Let k = q + 19. Let r = -8 - k. Solve -5 = 3*h - 2*h - r*z, -20 = -2*h - 2*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssssssssesessss. Give prob of picking 1 e and 3 s.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2182 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mno. What is prob of picking 1 m and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4864818324 a multiple of 16158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61942 and 0.05.\nAnswer: 3097.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39915*w + 1872 = 19987*w + 19976*w for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9041 divided by 1?\nAnswer: -9041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1888 and 4.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*6\/(-12)*1*26. Let d = -24 - c. What is the smallest common multiple of 6 and d\/(19\/6 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -320415, 5, -4 in descending order.\nAnswer: 5, -4, -320415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 times 4573?\nAnswer: 539614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -10922\/415 and -25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(704))**2*-6 + (sqrt(704) + 1)*5 + -3.\nAnswer: -4228 - 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) + -5 + sqrt(2)*-2) - ((sqrt(336)\/sqrt(7))\/sqrt(6) + sqrt(8)).\nAnswer: sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 3102.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*c**4 - 18*c - 47?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -7*(-2)\/(-6). Let t = 12 + -12.19. Let r = t + 0.09. Which is the nearest to s? (a) -0.3 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5)\/w**3)\/(w**(3\/11)\/w)**(-46))**(-18) assuming w is positive.\nAnswer: w**(36288\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 690739081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 6*i**2 + 5*i - 11. Let d be c(6). Suppose 5*z - d = 2*t + 2*t, 2 = -2*t. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -13. What is the smallest common multiple of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 47. Suppose -8*v + 10*v = b. What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -308 + 4aa3?\nAnswer: 4797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 2. Let x = -3 + 7. Suppose -x*y + 24 = -n - 3*n, 4*y = n + 18. Let j(t) = -t + 1. What is n*j(d) - v(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3738 and 1506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1000 and 112.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 10 - (9 + 12) - (-4 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 378 + -374. Solve -i*j = 4*g - 14 + 22, -5*j - g = 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74099241949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2984772315551031 and 0.5.\nAnswer: -2984772315551030.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d, 3*d = 2*s - 0*d + 11. Is 65 - (-3 + s)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 19*s**5 + 7*s**3 + 26*s**2 - 7. Let r(g) = 6*g**5 + 2*g**3 + 9*g**2 - 2. Let j(t) = 7*r(t) - 2*v(t). Find the third derivative of j(l) wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -5.7. Let t = 0.2 + 0.2. Let y = f + t. What is the nearest to y in -0.3, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-150)\/24 - -7)\/((-2)\/(-48)). Suppose -250 - 218 = -t*b. What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(6\/(-453)))\/((-4664)\/(-1272)*15\/110)?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -210.736 to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 36. Let w(g) = g**3 + 10*g**2 - 10*g - 15. Let l be w(-11). Let b = l + f. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -16*h**3 - 5*h**2 - 16*h - 15. Let p be m(-8). Suppose 0 = 5*i + c - 20195, -4*i + 8171 = -3*c - p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/9 - 27226*b**2\/9 + 28001440*b\/9 - 772062848 = 0. Calculate b.\nAnswer: -14589, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 13*n**2 + 8*n**2 + (-2 - 3 + 3)*(-3*n + 3*n + n**2) + 0*n**2 + 4*n**2 - 2*n**2)*(6*n**2 - 9*n + 9*n).\nAnswer: 120*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67\/20 + -18\/5. Let h be -1 + -1 - 10\/(-6). Let s be 1*28\/(-105) - (-2)\/(-5). What is the nearest to s in 2, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*u**3 - 12*u**3 + 11*u**3 + (-2*u + 1 - 1)*(-3*u - u**2 + 3*u).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 - x - 1. Let y(w) = 691*w**2 - 2*w - 340*w**2 - 350*w**2 + w. Suppose 5*c - 11 = -3*i, 2*c - 3*i + 6 = i. Give c*y(a) - z(a).\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1444310 (base 7) to base 13.\nAnswer: -6b2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = 10. Let m = -10 - q. Suppose -5*u = -5*z + 1 - 11, -3*z = -5*u + 16. Solve m = z*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 10:51 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 15 = -3*r, 3 = r - 0*r + 2*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y - y + y**4 + 2*y - 5*y**4 + 2*y**3 in the form t*y**2 + w + z*y**4 + n*y + v*y**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/((-22)\/(-528)). Solve -5*c + 3*k = -l, 4*c - 2*c = -k + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/16 and -63\/190.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 + 8\/20. Suppose 3*z = -t + 10, j*t = 4*z - 4*t - 24. Suppose z*g + 24 = 8*g. 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: Collect the terms in -15466158 - 7*r + 15466158.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261.4493 microseconds to milliseconds.\nAnswer: 0.2614493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 250061 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10541294.\nAnswer: 2, 59, 157, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + 0. Let k = i - -0.04. Let n = k + -0.62. What is n rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, n: 5}. What is prob of sequence nnn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0232 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*g**2 - 2178 + 2179 - 197*g - 75*g**2 + 17*g**3.\nAnswer: 17*g**3 - 197*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/104*206\/(-9579)?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 5*i**2 - 3*i. Suppose -193*q + 187*q = 30. Give u(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose -i = -0*i - g. Suppose i*d = 4*d - 31. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 24 = -0*o. Let h = -11 + o. Which is the closest to 11? (a) h (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -9*c - 16. Sort c, -2, -3 in decreasing order.\nAnswer: -2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 m when three letters picked without replacement from vvmuuvvuwvuuju.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-6 - -4) + -2). Let c(s) = -h*s + 3 - 3*s**3 + 4*s**2 + 4 + s**3 + 3*s**3. Determine c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 1, b: 7, i: 7, o: 1, a: 3}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 x when three letters picked without replacement from {o: 6, x: 13}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1271 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {g: 6, d: 2, f: 1, q: 4, y: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/203 (b) -2\/5 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-15)\/774)*1\/3. Let z = p + -83. Solve -u + 3 = 5*g + 1, -3*u + z*g - 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24)\/((-2)\/9).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 177.9 and 0.5?\nAnswer: 177.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 38. Let f be j(-6). What is the highest common factor of f and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n**3 - 4*n**2 + n - 11. Let h(c) = -16*c**3 + 6*c**2 + 13. What is -3*b(d) - 2*h(d)?\nAnswer: -d**3 - 3*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 31 = -9. Let a = 39.3 - 5.3. Let l = -29 + a. What is the closest to 1\/3 in -5, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + (2 - 2 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 1)*(-3 + 5 - 1 + (-2 + 2 - 5)*(-1 + 5 - 2) + 2 - 1 - 2)*(74*v - 34*v - 35*v).\nAnswer: -350*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8700 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4103913022 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 11*v - 28. Suppose 38*n - 15 = -k + 41*n, -4*n = -v*k + 22. Let u(o) = -o + 3. Let m be u(0). Calculate the greatest common divisor of m and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let k(g) = 3*g - 6. Give k(m(y)).\nAnswer: 3*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 + 103*f**2 + 132*f - 43. Determine t(-33).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429732.\nAnswer: 2, 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 35*j**3 + 28*j**3 - 4*j**3 + 173*j**3.\nAnswer: 235*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.244 + -0.214. Which is bigger: -8\/15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840295 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + (-13)\/(-2) + 3. Calculate the highest common factor of 70 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -6) + (-57 - -48)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 3420599.\nAnswer: 37626589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -20, -24, 2 in descending order.\nAnswer: 3, 2, 1, -20, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20221245 (base 7) to base 9.\nAnswer: -3148646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - 0.17. Let t = w - -0.1. Which is the closest to t? (a) 0.4 (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjjmyyym. What is prob of picking 1 y, 1 j, and 2 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-11)\/(-2)) - 450\/(-550). Which is the closest to 10\/7? (a) -3 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388 and 416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {v: 2, j: 5, p: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*b - 25, -6964*b + 7*q - 40 = -6963*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -684525 divided by 5?\nAnswer: -136905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 880?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235317*k**2 + 0*k**3 - k**3 + 841 + 2*k**3 - 235317*k**2.\nAnswer: k**3 + 841","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 + 149090*s + 23283885 = 0. Calculate s.\nAnswer: -29661, -157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1904458 + 1904458 - 731*q**2 + (0 + 0 - q)*(-5*q - 4*q + 3*q).\nAnswer: -725*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -6*g**4 + 135*g**3 - 792*g**2 + 417*g + 1350 = 0?\nAnswer: -1, 2, 9, 25\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 3*v - 3*v)*(5 - 4 + 0)*(8*v + 51 - 51) to a*v + y + d*v**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {n: 1, a: 2, o: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(2\/3))\/z)\/z*z**(4\/11))**21 assuming z is positive.\nAnswer: z**(-70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -32*w + 1779. Suppose 6*y + 5*y = 5*y. Is s(y) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -14. Suppose -32 - g = -3*t. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**4\/4 + 2*b**3 - 2*b**2 - 10*b + 10. Let r be j(5). Let m(g) = -2*g + 3. Calculate m(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**8\/1008 - n**7\/315 + n**2 - 2. Let l(q) be the second derivative of b(q). Let l(o) = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 133 + 1169?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.207 * 561449.\nAnswer: 116219.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1978*d + 765475. What is k(-387)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1452, -5687, -12750, -22641, -35360?\nAnswer: -50907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 + 2*g**3\/3 + 481*g**2\/2 - 2325*g + 5351. Differentiate b(t) wrt t.\nAnswer: 3*t**2 + 4*t + 481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h**3 - 2*h**2 + 2. Let t(s) = s**3 + s**2 + s - 1. Give 2*t(v) + w(v).\nAnswer: -8*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053 is divided by 137.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12*m = 28. Suppose 2*z = -4*l + 138, 3*l = -4*z + 180 - 64. Calculate the highest common factor of m and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 278691 and 11103211?\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 39 = -103. What is the remainder when 111 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 627 divide 274351184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 2 q when four letters picked without replacement from trtrtqorrrrtrlrroqr.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 66 - 674 = 77*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 83, 2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 740794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 93. Suppose -f*j + s = -1065, j + 2*s = 2*j - 275. What is the remainder when j is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nssy when four letters picked without replacement from {n: 1, i: 1, s: 2, y: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0, 76, -8, 5, -4.\nAnswer: -8, -4, 0, 5, 45, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196.4077 millilitres to litres.\nAnswer: 0.1964077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {i: 1, b: 5, l: 2, s: 1, g: 2, j: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -4*(-6 - (-188)\/16))*3\/(-435)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f + 693 = 2251 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 353 + -350?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 q when three letters picked without replacement from {f: 3, e: 4, q: 9}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 4)*(-4*k**2 + 3*k**2 - 12*k**2)*(3 - 2 - 2)*(-1 - 1 + 0) in the form s*k**2 + c + h*k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 274152004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-90))\/(2\/24)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*q + 149*q + 140*q + 40.\nAnswer: q + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -806.6 * 9.\nAnswer: -7259.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 231783 at least as big as 231785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1e (base 15) to base 9\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*m = -90*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 10228*t + 2931462. Calculate g(279).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - z - 42 + 35 = 0, 3 = h - 5*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150617.\nAnswer: 150617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/16*138\/(-621).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 25*x**3 + 2*x**2 - 16. Let r(c) = -26*c**3 - 3*c**2 + 15. Let k(p) = 2*r(p) + 3*t(p). Find the first derivative of k(f) wrt f.\nAnswer: 69*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/192)\/((-3)\/(-18)))\/(536\/32 - 19)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/((-1215)\/(-18))*20\/(-34).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let r(z) be the second derivative of z**5\/20 + 2*z**4\/3 + z**3 + 7*z. Suppose 103*s + 372 = 41*s. Determine r(s).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*((31 - 2) + 2). Let i = -17 - r. What is the greatest common factor of i and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - 1 - y + 2 + 6*y**4 - 4*y - 5*y**4 to u*y**2 + z + k*y**3 + v*y**4 + d*y and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 8, 13, 0 in increasing order.\nAnswer: 0, 1, 3, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 87457647 divided by -31539?\nAnswer: -2773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 2\/5, -203?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 771, -0.3, -3\/4915?\nAnswer: -3\/4915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1712 and 22234512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 + 26. Let o = 100 + c. Let h = -47.2 + o. Round h to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 8:41 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1445 divided by -289?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002286140032 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 11428508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 91, 86, 81, 76, 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 2888?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6505 divided by -5\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2))\/m**(-5\/2)*(m**0)**17)\/((m**1*m**(2\/25))\/(m\/((m*m\/m**(-6))\/m*m)*m**(-1\/4))) assuming m is positive.\nAnswer: m**(-683\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 2*n**4 + 7*n**3 + 5 - 5 - n**3 to r*n**4 + m + k*n**3 + c*n + a*n**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-6)*16\/12. Let s be -1 + 8 - u\/(-2). Suppose -2*v = -5*v + 2*l + 47, s*l = -4. What is the remainder when 27 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2853127, -2853178, -2853229, -2853280?\nAnswer: -2853331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 10*c + 3. Suppose 3*l - 2*d = -l + 50, d = -5*l + 45. Let y be x(l). Suppose 3*n - y = 24. Solve -k + n = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201002122 (base 3) to base 11.\nAnswer: -a507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 0 + 0)*(-5 + 8 - 1) + 39 + 59 + 69)*(5*p - 3*p + 0*p) to the form i*p + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1551 = -9*o + 1668. Suppose 5*j - 2371 = -291. What is the highest common factor of o and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 + 200.95. Let i = 6.8 - 2.8. What is the closest to k in 0.3, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t + 3*t**3 + 5*t + 20*t + 7*t**2 - 2*t**3 + 4*t**2 + 3. Determine d(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -263, -287, -329, -395, -491, -623, -797?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 26591532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492.1271 decades to millennia.\nAnswer: 4.921271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i = -26*i + 300 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2414.5317us?\nAnswer: 0.00000000399228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -87255?\nAnswer: 87266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + -1.57. Let r = x + 2.6. Round r to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 1500.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2134503 millennia?\nAnswer: 213.4503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Let b be (-1)\/j*16\/(-4). Let l = -7 - -4. Is l at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z = -32*z - 28 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i + 1286. Let j = -293 - i. Does 50 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 667556*l**4 - 18*l**3 - 1 - 2*l**3 - 667576*l**4 + (0*l + l + 0*l)*(-l**3 + 2*l**3 - 2*l**3).\nAnswer: -21*l**4 - 20*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (12 - (22 + -11 + 16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -6 (c) 2 (d) 18.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 101311431 (base 5) to base 8\nAnswer: 1455353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t + c, -4 = 2*t + 5*c - 8*c. Let g be 11\/22*6*t. Put g, -0.2, 0.3 in descending order.\nAnswer: g, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -24 + (-14 - -9) + 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-134)\/3 - -22*((-13405)\/462 + 29)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 2*s + 13. Let v be f(12). Let t = v + -118. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqo when three letters picked without replacement from aeqoq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -211 - -160. Let a be (-11)\/(-51) + (-6)\/f. Which is greater: a or 21\/5?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2827, 5269, 9341, 15043, 22375, 31337?\n\"Answer: 815*f**2 - 3*f + 2015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6)*(-24)\/15. Solve -3*n = -m*t + 7, -t - 2*t - 3*n = 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 36*d**2 - 5*d - 12. Let c be n(-36). Calculate the greatest common divisor of 24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/19, -17877 in increasing order.\nAnswer: -17877, -5, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -55473 divided by -1646\nAnswer: 55473\/1646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 139?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-23)))\/(v**1*v) assuming v is positive.\nAnswer: v**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*m**3 - 4*m + 4*m)*(-2*m - m + m) - 390*m + 390*m - 44*m**4 as q*m**2 + t + r*m**3 + n*m**4 + y*m and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, -125.3, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8648, -8658, -8682, -8726, -8796, -8898, -9038?\nAnswer: -9222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 69 = -1. Let s(q) be the first derivative of -q**3\/3 - 19*q**2\/2 + 21*q - 2. Calculate the remainder when s(x) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/6 and -11\/12806?\nAnswer: 38418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*n + 655 = -236*n + 172 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-120)\/(-16))\/(6\/40). Calculate the greatest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 9*d = -4. Let a(n) = -4*n - 18. Let r(m) = -8*m - 36. Let i(j) = d*r(j) + 5*a(j). Let t(q) = q. What is t(i(w))?\nAnswer: -4*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -875555 * 6.\nAnswer: -5253330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n + 1. Let o be (-1)\/3 - 5\/(-15). Suppose -2*h = -o*h - 2. Give c(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -1367\/24. Let z(s) be the third derivative of 0 + 1\/2*s**4 - p*s**6 - 1\/20*s**5 + 0*s + s**2 - 2\/3*s**3. Factor z(t).\nAnswer: -(t - 1)*(t + 2)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472 - 454 + 926 + 3*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 6*l**2 + 13*l - 45. Let j be y(7). Suppose 0 = 2*s + s. Let g be s + -3*1\/(-4). Which is the nearest to g? (a) -1\/4 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 + 380*v**2 - 748*v + 372 = 0. What is v?\nAnswer: 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 33*p + 2. What is the tens digit of d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*p + 89 = 3*u, p + 53 = 3*u. Solve 20 = u*w - 21*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3640*v - 14585. Give f(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 + 5*s**2 + 98*s + 11. Let g(z) = -2*z**3 - 4*z**2 - 99*z - 9. Determine -5*g(m) - 4*j(m).\nAnswer: -2*m**3 + 103*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f, 7*p - 4*p = -5*f + 19. Let o(g) = -g - 1. Let w(i) = 5*i + 16. Let s(d) = 4*o(d) + w(d). Let u be s(-9). Put -3, u, p, 0 in increasing order.\nAnswer: -3, p, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3699*j - 77678. Determine o(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58978890 rounded to the nearest one hundred thousand?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5010\/13 + 70621\/182. Calculate the common denominator of 2\/5 + 372\/(-40) and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f + 16. Give z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52884 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - 0.31. Let v = -26 - -24. Let r = -3 + 6. Which is the closest to -4? (a) v (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/36*6 + 2698\/6. Calculate the greatest common factor of 630 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202196996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 37*a + 305. Let w be h(44). Let t = -1 + 1. Sort w, -8, t in descending order.\nAnswer: t, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k, -5*k + 644 = 5*l - 41. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237 - -240. Is 38\/11 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 5, -1030, 1, -0.06, 109?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 755 + -492. Suppose -5*f - 273 = -4*j, 2*j + 2*j + 5*f = r. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*h + 11 = 0, -s - 5*h - 19 = -0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.145 + 58932.\nAnswer: 58932.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16339.1 * 2099.\nAnswer: 34295770.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-48)*18 - -2. Solve 0 = 2*j, -2*v - 5*j - q = -7*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (327*l - 119*l - 66*l)*(l - 4*l + l) - 44*l**2 - 47*l**2 + 118*l**2 in the form d + i*l**2 + r*l and give i.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1848407 and -32.67.\nAnswer: -1848439.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174118*b - 174118*b - 2094*b**3.\nAnswer: -2094*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.8 times -0.3?\nAnswer: 29.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.1. Let s = w + 0.5. Suppose 1 - 5 = -2*g. Is g not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 + 43*c + 22. Suppose -w + 41 = -5*f, 5*f = 28*w - 29*w + 1. Let u be s(w). Is u > 263\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-14)*(b**(3\/2)*b*b)\/b*b*b*b**(1\/2) assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/15, -7\/31, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 1:48 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 - -0.3947969.\nAnswer: -192.6052031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 5.91871.\nAnswer: 5.91871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 0 - a + 0*a**2 + 1\/3*a**3. Let l(f) = 462 + 273 + 2*f - 735. What is o(l(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(90)\/(-1*sqrt(96) + sqrt(6)))\/(3*1*sqrt(300)))**2.\nAnswer: -1\/540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1352817*p**2 + 2705626*p**2 - 1352810*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, l: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 7*v**4\/8 - 19*v**3\/6 + v**2. Suppose -32*z - 39 = -35*z. Is q(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 495059 divided by 29\nAnswer: 17071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 + 11*m + 4. Calculate z(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 417?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -103242*y**3 - 2*y**2 - 2*y + 3. Let t be u(2). Let v = t + 507945. What is v rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1696)\/1484)\/((-1)\/1)*14\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*k + 22923*k**2 - 364*k + 198*k to t*k + z + d*k**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -40, -3 in descending order.\nAnswer: 2, -3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*p + 117*p - 18 = 0. Let i(b) = -68*b - 34. Let j(l) = -l**2 - 2*l - 1. Let y(x) = p*i(x) - 34*j(x). Let f(v) = -2*v. Give f(y(u)).\nAnswer: -68*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 12*p**2 + 2*p + 1. Let c be a(12). Let l be 1 + -3 - (-4 + -1). Solve -c = -2*i - l*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 less than or equal to 416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4511070 and 1503690?\nAnswer: 4511070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3524 and 12334?\nAnswer: 24668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(0 - -1)*-3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-1))\/(6\/54*12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 56566328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(-1)\/(-2) - (-1 + 5). Let j(h) = -67*h - 81. List the prime factors of j(w).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - l**2 + l - 1. Let t(c) = 11*c**2 - 13*c - 5. Let k(b) = -b + 3 - 5 - 3*b + 5*b**2 - 2*b. Let s(n) = -9*k(n) + 4*t(n). Give -s(i) + 2*x(i).\nAnswer: 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/5 + 114\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**14\/(p\/(p\/p**(-3\/13)*p)*p)*p**(-23)*p**(-39) assuming p is positive.\nAnswer: p**(-621\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0612066*-85.8\nAnswer: 5.25152628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-3))\/(2\/((-12)\/81))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + ((-331365)\/33)\/5. Let h = -2011 - n. What is the common denominator of h and -25\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*j + 1248 + 1829, 2*q = 2*j + 2058. Let r = q + -547. Suppose 3*f - 7*f = -r. Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*q + 396 + 292 = -572 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0*k + 0 + 3*k**2 - 5*k**4 - 2\/15*k**6 - 6*k**3 + 23\/15*k**5. Factor g(z).\nAnswer: -4*(z - 3)**2*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4320 = -5*j + 1500. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-133 + 135)\/((-2043)\/(-51)). Is 1 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 - 3*h + 0 + 0.\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 1:14 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5 - 8. Suppose s = 2 - v. Is 1 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3361*r - 43908. Calculate f(-13).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 38 = 2*q, -64 = -3*w - 19*q + 23*q. Calculate the smallest common multiple of w and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209380897.\nAnswer: 11, 19034627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152.3 + -169.44. Let d = 2.64 + g. Round d to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {o: 5, c: 3, f: 2, l: 2}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -349, -375, -419, -487, -585, -719?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1*(-21)\/(-14))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:08 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -19*f**4 - 70*f**3\/3 + 144. Find the third derivative of w(i) wrt i.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - 2)\/(1\/(-19)) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -23 - 47 - 159 - 113 - 10315*n**2 + 10318*n**2 + 39*n = 0. What is n?\nAnswer: -19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 5*h - 3. Let y be s(-7). Suppose 7*q - 21 - 42 = 0. Calculate the highest common divisor of q and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -491\/764 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.12?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*k + 13*k - 9*k**5 + (-3 - 1 + 2)*(4*k**3 - 4*k**3 - k**5) - k + k - 3*k**5.\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*o = -13, 19*q = 17*q + 5*o - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lulllllllwwwlll. Give prob of picking 1 u and 2 w.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 34. Let w(f) = -f**3 - 4*f - f - f**2 + t*f + 3 + 4*f**3. Does 3 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8590, 33995, 76392, 135787, 212186, 305595?\nAnswer: 416020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-20)\/t**17)**(-1\/22) assuming t is positive.\nAnswer: t**(37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 41133 (b) -5\/2 (c) -2\/9 (d) -5 (e) -12 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117525504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -4 - (1 - 1 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 5*c + 2*c + (0 + 4 - 2)*(-5*c + 2*c + 2*c) + (-109 + 40 - 85)*(-c + 0*c + 0*c).\nAnswer: 148*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 384 - -319.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 6*(-1)\/(-1). Suppose -c*r = -614 - 1426. Suppose r = 4*q - q. Calculate the greatest common divisor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1538330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 362 + s + 362. Let r(t) = -4*t. Determine z(r(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*z + 314*z = -328*z - 816 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Suppose 0 = -3*a + a + 5*q - 15, -x*a = -q + 3. Suppose p - 4 - 10 = a. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 37 = 5*q - 0*q, 2*q = 4*x - 22. Suppose -8*f + 1 = 9. Put q, f, 2 in descending order.\nAnswer: 2, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 4*s - 2*s - 2*s. Let d = -1248 - -1245. Let w(f) = f + 1. Let z(q) = d*w(q) + h(q). Let t(y) = -1. Give t(i) - z(i).\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 + 38*i**2 - 6*i - 39. What is the tens digit of j(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*q - 0*q, -5*q = k. Solve 3*f + 0*a = -3*a - 21, 5*f - a + 11 = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 22, 31?\n\"Answer: 9*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/171 and -107\/105?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 6) + 1\/(-1). Let f(z) be the first derivative of -z**5\/120 - 13*z**4\/24 - 11*z**3\/3 - 8. Let j(v) be the third derivative of f(v). Give j(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234 + -2108\/9. What is the nearest to 1\/5 in 0.2, p, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 + -3.74. Let p = -3.6500344 + -0.34996535. Let y = g - p. What is y rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64421661 a multiple of 1455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -331, -721, -1169, -1669, -2215, -2801, -3421, -4069?\n\"Answer: a**3 - 35*a**2 - 292*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001056 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 2569?\nAnswer: -256b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**8\/280 + w**6\/60 + w**3 - w**2. Let z(b) be the first derivative of r(b). What is the third derivative of z(d) wrt d?\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376751 smaller than 376753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81957 is divided by 40974.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(320) + sqrt(320) - sqrt(320))\/sqrt(10) + sqrt(512)*-1)*-1.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5, -2*b + 2 = 2*m - 0*m. Put m, 4, -4 in decreasing order.\nAnswer: 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.2, 4\/2445, -1\/4, -0.4 in descending order.\nAnswer: 1.2, 4\/2445, -1\/4, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 27 = 3*f. Let x = -16 + 24. Calculate the smallest common multiple of f and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14*b - 49. Let z(y) = -y - 7. Let c(o) = h(o) - 7*z(o). Let i(g) = -8*g**2 - 4. Give c(i(a)).\nAnswer: 56*a**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 12, v: 1, a: 5}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 93*t**2 + 118*t + 3 - 55*t.\nAnswer: -93*t**2 + 56*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxc when three letters picked without replacement from {r: 1, u: 5, c: 1, x: 4, y: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3 - 15. Let v(k) be the second derivative of -1\/4*k**4 - 4*k - 1\/6*k**m + 0 + 0*k**2. What is the second derivative of v(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + y = -171, 5*h + 5*y - 195 = 0. Let j be h - ((-5)\/10 + (-9)\/(-2)). What is the greatest common divisor of 95 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 16*m - 1022. Calculate the remainder when v(38) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 11, 2, 10.884, -0.4 in ascending order.\nAnswer: -0.4, 0.4, 2, 10.884, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-69) - (-7)\/(805\/450).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7508, -2, 18, -213, -3 in increasing order.\nAnswer: -7508, -213, -3, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 57. Let o = 11.02 + l. Let j = o + 0.08. Which is the third smallest value? (a) -9 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 8:05 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (3 - (-2 + -9))) + 18 - -8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 15*a**2 + 29*a - 14. Suppose p = 5*d + 67, -40*d + 45*d + 69 = 2*p. Give c(d).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**3 + 8*s**3 - 28*s**2 + 20*s**2 in the form m + w*s**3 + b*s**2 + f*s and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 24*s**2 + 3*s + 36. Give y(-24).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/48*264\/(-66))\/(2\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-13)*(-3)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235781 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 + 13196*l**4\/3 - 4297480*l**3\/3 - 406711906*l**2\/3 + 167513371*l - 30514638 = 0 for l.\nAnswer: -77, 2\/9, 1, 771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81020 is divided by 94.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*i - 2*i. Let t(b) = 4*b - 2. Let d(m) = 9*m - 5. Determine i*t(g) - 3*d(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)\/z)\/z)**(4\/21)*z**(-3\/11)*z**(-1\/4)\/z*(z**8\/(z*z\/(z*z**(-1\/14))*z))\/(z*z\/z**(-1\/4))**29 assuming z is positive.\nAnswer: z**(-99089\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 3*f - 58, c = 1. Suppose f*v = 5*v + 35190233. Suppose -v = -t + 4193059. Round t to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.84 + 7.34. Which is the smallest value? (a) 0.5 (b) 5 (c) 1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 10*p - 12. Let b(g) = -3*g**2 - 21*g + 25. Let x(u) = -3*b(u) - 5*t(u). Is 7 a factor of x(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 12424\/889?\nAnswer: 12424\/889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4206552 to the power of 1\/2, to the nearest integer?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from jwjwplwdwwdwwwppwwx?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 7*j**2 + 6*j - 4. Let q(v) = 4*v - 2. Suppose 0 = -2*c - c - 4*s + 22, 0 = -5*c - 4*s + 26. Let f be q(c). Determine g(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 25. Suppose -2*s + 6 = 4, 0 = 2*t - n*s. Solve 0 = -t*z - 2 - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(-4*q - 5*q + q)*(-3*q**3 - 4 + 4)*(4 - 4 - 1) to the form a + g*q + i*q**3 + h*q**4 + l*q**2 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**19\/(b\/b**14*b) assuming b is positive.\nAnswer: b**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22156454 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2416 - 2414. Solve -20 = 4*p, j*k + 3*p + 12 = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19623 in 5, -1\/118, -9, 2?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (1 + sqrt(76) - sqrt(19)) + 3.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3942?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7462351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-8)\/(-14))\/4) - 5. Suppose -86*t + 87*t - a = 0. Solve 7*n + t = 6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -876 or 21628?\nAnswer: 21628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 4*j - 1. Let g be (-33)\/1*10\/(-30). Let z = g + -6. What is q(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1463139110, -1463139109, -1463139108, -1463139107, -1463139106, -1463139105?\n\"Answer: l - 1463139111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -288*l**2*o**3 + 488*l**2*o**2 + 2*l*o**3 + 7*l*o**2 + 5778*o**3 + 54*o + 2 wrt o?\nAnswer: -1728*l**2 + 12*l + 34668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 5:26 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -450, -7, -34, 13 in increasing order.\nAnswer: -450, -34, -7, -5, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**1)**(2\/17))**(-3\/19) assuming d is positive.\nAnswer: d**(-18\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*i**3*u**3*x - 2*i**3*u**2 + i**3*u*x + 3*i**3*u - 17*i**2*u*x + i**2*u + 2*u**2*x wrt u?\nAnswer: -216*i**3*u*x - 4*i**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 576201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 12*x - 809880000. Suppose -4*a - x = -21*a. What is a rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/12 - 0)\/(6 + -5). Let i = -0.22 + -2.78. Which is the nearest to g? (a) 0 (b) i (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7445, 14599, 21457, 28025, 34309, 40315, 46049, 51517?\nAnswer: 56725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/935*-5*(19\/(-12))\/(-19).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 5*h, -4*h - 11*u + 15*u + 16 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 13*r**2 + 2*r - 12. Let g be k(13). Which is smaller: 13 or g?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**6 - 60*v**4 - 8*v**2 - 3 wrt v.\nAnswer: 120*v**3 - 1440*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - g**3 + g**3)*(-3 - 2 + 3).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4198 + 4278. Calculate the greatest common divisor of 128 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13333 + 13305 - 4*w**3 + 2*w**4 + 0*w**4 - w - 26658 in the form l*w + j + s*w**4 + c*w**2 + v*w**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 - 1.7. Let j = -30 - 94. Let u = 126 + j. What is the closest to m in -2, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**3\/3 - a - 83. Let b(n) = -18*n**2 - 2*n - 3. Let o(z) = -2*b(z) + 6*k(z). Find the second derivative of o(l) wrt l.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 21*r + 7*r.\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 55*d - 112*d - 4 - 14*d**2 + 59*d + 12*d**2 + 5. Let c(m) = m. Determine 2*c(b) - r(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = 0, 4*h = -k + h + 142. Suppose 5*u = 20, c - 4*c = u - k. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 60. Find the second derivative of 0*l**5 - 4*l**o - 13*l + 20*l + 14*l wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49455 and 52087105.\nAnswer: 5495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 47282*y - 8227066. Give d(174).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 105*u**5 - 3132*u**4 + 31422*u**3 - 121656*u**2 + 97785*u + 254100 = 0. What is u?\nAnswer: -1, 5, 7, 484\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-53)\/(26235\/240)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6596 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 330. Calculate the remainder when 194 is divided by (t\/12)\/((-2)\/(-6)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -553 + 560. Let g(b) = 4*b. Let v(x) = -2*x. Suppose 5*n - 26 + 11 = 0. Calculate j*v(s) + n*g(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312.163488 rounded to 1 decimal place?\nAnswer: -1312.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 245, 382, 537, 716, 925?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/62640 and -86\/12375.\nAnswer: 17226000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 56, 3\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*k - 47*k + 1042*k.\nAnswer: 1150*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3078, 5948, 8818, 11688, 14558, 17428?\nAnswer: 20298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1988 and 426.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 7*n + 705. Suppose 4*m - 138 + 923 = 5*w, n = w - 4*m. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332040 (base 7) in base 11?\nAnswer: 3a915","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 3. Let i be x(-4). Suppose -4*o + 13 = 3*s, 2*o - 2*s - s = 11. Suppose -74 = -f - p, i*p - o*p = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqqqqqqqqkqqkkqqkq. Give prob of sequence qq.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q - 34 = 5*j - 41*q, 3*j + 14 = -4*q for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4639*b**3 - 1386*b**2*n**3 - 2*b*n**3 - 2624*b + 2*n**2 - 295 wrt b.\nAnswer: -27834*b - 2772*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 899980 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*m - 4*q = -12, 3*m + 11 = 5*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-3)\/2)*-8. Suppose d - l*o = -2*d + 54, 5*d - 4*o = 82. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -375 times -767\nAnswer: 287625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30927 - 18136. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1268*x. Let n(c) = 79*c**2 - 189*c**2 + 111*c**2. What is h(n(v))?\nAnswer: -1268*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 34. Suppose 5*c + 2*h = 2*c - q, 2*c = -5*h - 3. Put -5, c, 1 in decreasing order.\nAnswer: 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 10:30 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/9))**(-41))**21)**(-20) assuming a is positive.\nAnswer: a**(11480\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-64))\/((-6)\/(-12))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0015*-1113\nAnswer: 1.6695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 3\/5*k**2 + 17 + 9\/5*k - 1\/5*k**3. Determine n so that o(n) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593*h**3 + 16*h**2 - 16*h**2 + 264*h**3.\nAnswer: 857*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 + 2*h + 2. Suppose u - 16 = 5*u, 3*i - 4*u - 13 = 0. Let y(r) be the first derivative of r**2\/2 - r + 43. Determine i*w(b) - 2*y(b).\nAnswer: -2*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1899*m**2 + m + 3 - 3793*m**2 - 5*m**3 + 1896*m**2 in the form u*m**3 + z + y*m**2 + j*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 17*z**2 - 37*z + 19. Calculate m(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8040, 16080, 24120, 32160, 40200, 48240?\n\"Answer: 8040*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.8 * -0.04.\nAnswer: -0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1785284, -1785283, -1785282, -1785281, -1785280, -1785279?\n\"Answer: n - 1785285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404044 (base 14) to base 2.\nAnswer: -1000001111111010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 153625 + 436?\nAnswer: 153a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(2\/3))**(-2\/81))**(-1))**(-36))**16 assuming d is positive.\nAnswer: d**(-128\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 376865077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-322)\/(-115))\/(4\/10) + 4192 + -3 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2898 and 4140?\nAnswer: 28980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158682358.\nAnswer: 2, 19, 1459, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920004.\nAnswer: 2, 3, 76667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -156 + 147 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*18\/(-8)*(-52)\/(-234)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 795139 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825452339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (105\/(-14))\/((-6)\/8). Let p(t) = -t + 1. Let w be p(0). Let o = w + j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxpxpplx. Give prob of picking 2 p and 1 x.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 843693 divided by -71?\nAnswer: -11883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*4*((1*sqrt(171) - sqrt(171)) + sqrt(171) + sqrt(171)))\/(sqrt(144) + sqrt(144) + sqrt(144)*-2 - -1*sqrt(9)*5).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 344\/7 + -49. Let o = 8 + -1. Let y = -9 + o. What is the closest to 0 in -4, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12933327 and 6952.\nAnswer: 103466616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -44e3 (base 15) in base 14?\nAnswer: -547b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000 (base 2) to base 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 1\/5, 1\/88, -2, 1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*((-14590)\/(-22) + 28\/(-154)) a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*a*p + 187375431*a - 4687797*p wrt p.\nAnswer: -24*a - 4687797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -193, -79, 9, 3 in ascending order.\nAnswer: -193, -79, -6, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 5*z + 2*z)*(1 - 2 + 2)*(-45*z - 14*z - 11*z) as q*z + g*z**2 + f and give g.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7410931856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 1 - 0 - -38. Find the common denominator of 51\/4 + 1 + 0 and (-4 + 3 - -5)*f\/64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 48 = 6*k. Calculate the greatest common divisor of k and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*i - 64, -n = -i + 5*i - 16. Let q = 30 - n. Calculate the remainder when (-4)\/(-18) - 205\/(-9) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:45 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 9. Suppose -s*p + 4*y - 1 = -6*p, -3*y = -2*p + 12. What is the third derivative of 2*i**2 + 2*i**2 - p*i**3 + 3*i**3 + 7*i**6 wrt i?\nAnswer: 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -252*m + 8 + 59 - 19 - 10. Does 79 divide n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 51. Suppose 3*n = t*h - 79, -4*h + 6*n + 76 = 2*n. Solve 2*b + 5*p - h = p, 20 = -5*b + 5*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24025 - 25425 = -100*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62.72 - -1.28. Let x = w + -53. Let s = x + -10.9. Which is greater: s or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -4443 - 525. Let l = n + -199. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 3*s + 5. Let w be u(3). Suppose 5051 = w*p - 3*b + b, -2*b - 3033 = -3*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p. Let z(y) = -18*y**2. Give z(h(q)).\nAnswer: -4050*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 55616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byyb when four letters picked without replacement from {y: 8, d: 2, f: 1, b: 5}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - 2*h**2 + 3*h**2 + 3*h**2 + 0*h**2 - h**2 + (3*h - h - 3*h)*(-9120 + 583*h + 9120).\nAnswer: -580*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/2 - (-24)\/(-8). Suppose 0 = 10*t - p*t + 15. Solve -f - 5 = 2*n + 4*f, -5*f - t = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000154609 rounded to 7 decimal places?\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c + x - 111, 2*x + 97 = 3*c. Calculate the remainder when 56 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 377.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 41*x = 236 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*t - 68, 2*j + 117 = 3*t + 31. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -24*m**2 + 25*m. Let d(t) = 145*t**2 - 145*t. What is 5*d(i) + 29*j(i)?\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164333 is divided by 5297?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -5*a**4\/8 - 5*a**3\/3 - 726. Factor g(p).\nAnswer: -5*p**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 - (-4 - (-9 + -6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -366\/25 + 2791\/150. What is the common denominator of -47\/6 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/2))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6956 by 74.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 13\/4 (c) -0.3 (d) 133 (e) 0 (f) 5 (g) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:15 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 f when four letters picked without replacement from {v: 6, l: 5, f: 3, n: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-114))\/((-12)\/9*(-23)\/(-8)*-2)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-170)*320\/(-64)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59716 divided by -14929?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 398.7.\nAnswer: -1196.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1017.5 - -977.937. Round g to one dp.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/120 - b**5\/60 - b**4\/24 - b**3\/6 - b**2. Let u(k) = -4 - 2*k - 2*k**3 - 2*k - 2*k - 3*k**2 + 2*k. Give -3*j(f) + u(f).\nAnswer: f**3 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (55\/15 - (0 + 1))*6 and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*a + 2*d, 2*a + 2*d - 26 = -a. Suppose -16*u = -15*u - a. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 115 - (-9)\/(-18)*18. What is the highest common divisor of 159 and o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**2*s**3 + 8*o**2 - 2*o*s**3 - 24*s**3 - 1 wrt o.\nAnswer: 6*s**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 35498*i + 17745*i + 17753*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 1213?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811467 is divided by 4934?\nAnswer: 2291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 3, -1\/12, 17.5, 0.2, 8 in descending order.\nAnswer: 17.5, 8, 3, 0.2, -1\/12, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + x - x)*(-1091*x + 655*x - 921*x) - x**2 + 12*x - 12*x in the form g*x + r*x**2 + n and give r.\nAnswer: 1356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*t*v + 199*t - 53*v - 13 wrt t?\nAnswer: -5*v + 199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21294 = -45*a - 33*a - 39*a. Calculate the highest common factor of a and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3765 + 2709 = 386*u - 4334 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 26*v**2 + 148*v - 4049. Suppose q - 3 - 5 = 0. Calculate the smallest common multiple of q and p(25).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141992467.\nAnswer: 79, 1797373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmkk. What is prob of picking 1 k and 2 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.9108982.\nAnswer: -1.8217964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 5. Let q be b(-5). Suppose 0 = -q*j - 2*j + 10. Suppose -j*c + 62 = 3*f - c, -3*c + 85 = 5*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 63424.33 centuries?\nAnswer: 6342.433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1156407 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5876 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**3 + 321*d**2 + 6*d - 638. What is k(107)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23504, 82570, 177194, 307370, 473092, 674354, 911150?\nAnswer: 1183474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 - l - 6. Let y be f(-8). Find the common denominator of -29\/22 and (-2)\/(-10)*y\/8.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -13 + 43. Solve 8*w - 3*w - u = 15, -2*w + q = -5*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -0.24. Let z = -1.7 + 8.2. Let w = z - 6. Which is the nearest to u? (a) -3 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/41, -1\/3, 2\/5, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - k**5 + 2*k**5 + (k - k - k)*(0*k**4 + 3*k**4 - k**4) - 4*k**5 + 3*k**5 + 3*k**5 + (397*k - 72*k**3 - 397*k)*(2*k**2 + 0*k**2 + 0*k**2).\nAnswer: -143*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -22 (c) 0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, -10 in descending order.\nAnswer: -5, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/3)\/(-1*14\/11949). What is the tens digit of f\/(-21) + 4\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -955556*b**4 - b*v**2 + 277851*v**2 wrt b.\nAnswer: -3822224*b**3 - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (5033\/504 - 11). What is the nearest to -2\/5 in -3, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8245 - -8292. Solve -55 + k = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*b + 158*b = 50*b - 105*b - 75516 for b.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83.82 - 87. Let a = 35256556 + -35256559.1799871. Let w = a - c. Round w to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 - 105. Suppose 0 = -u + 4*u + 2*f - 3231, -f = -p*u + 4297. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3280003 is divided by 72868.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-440)\/(-660)*((-126)\/8)\/(-3)*518 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(80\/28) - 1 and -77\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - z = 3, 16*z = 4*t + 175 - 91 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/817, -2\/21, 3789 in decreasing order.\nAnswer: 3789, 2\/817, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 7:42 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1800 and 115\/6.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:15 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 10:37 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13585227.\nAnswer: 3, 17, 41, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128615177 and 12162.\nAnswer: 771691062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 15 = 5, q - 124 = 3*i. Suppose -6*f + 391 - q = 0. Suppose f*r = 45*r - 1380000. Round r to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 129?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 8 = -9*y. 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 p(b) = 4*b**3 - 2*b**2 + 2*b - 3. Let n(g) = 7*g**3 - 3*g**2 + 4*g - 6. What is 3*n(d) - 5*p(d)?\nAnswer: d**3 + d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252202 is divided by 126068?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by -27?\nAnswer: 214\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380286 and 13320.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, d: 3, x: 2, h: 4, l: 2, p: 1}. What is prob of picking 2 l, 1 x, and 1 p?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/22)\/(4\/(-11)). Let r(n) be the first derivative of -3 - 3*n + l*n**2. Calculate r(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 31*d**2 + 0*d + 0 + 1\/20*d**5 + 0*d**3 + 0*d**4. Let a(b) = 4*b. Calculate a(z(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**8*d)*d\/d**(-4)*d)**(2\/21)*((d\/(d*d**(2\/3)))**(2\/21))**(-28) assuming d is positive.\nAnswer: d**(100\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237984232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 51*n**2. Let u(g) = 184929*g + 15 - 184936*g - 18. What is u(m(s))?\nAnswer: -357*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:08 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/20 + (-18)\/60*-72. Let n(c) = 3*c**3 + 2*c**2 + 2*c. Let v(p) = -15*p**3 - 11*p**2 - 11*p. Calculate z*n(t) + 4*v(t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 12 + 28*o**2 - 11.\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -252355 (base 6) in base 14?\nAnswer: -834b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.312005l in millilitres?\nAnswer: 9312.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-6)\/225*15.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*z**3 + 16 - 22 + 6.\nAnswer: 98*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 1100000001010?\nAnswer: 1100000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21255.\nAnswer: 3, 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -116.78429 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2923*k**2*z**2 - 12259*k*z**3 + 136669785*z**3 wrt k?\nAnswer: -5846*k*z**2 - 12259*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - w**2 - 6*w - 13*w + 26*w + 41 + 5*w. Let j be c(16). Let p(y) = y**3 + 7*y**2 + 2*y + 4. Calculate p(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -13*m**2 - 65*m + 15. Let k(q) = 16*q**2 + 65*q - 11. Let g(l) = 3*k(l) + 2*o(l). Determine g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 33. Let q be (-2)\/(o\/(-1 - -4)). Let v = -0.8 + 3.8. Which is the nearest to v? (a) 1\/6 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19371, 41621, 63871, 86121?\n\"Answer: 22250*w - 2879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11232181 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 19*s**2 + 22*s + 27. Give g(-20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 3*d + 130. Suppose 5*y = -12 - d. Let q be y\/((-15)\/9)*1 + 0. Solve -4*f - q*p = 9, -9 = f - p + 4*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1296540 by -108045.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 0. What is the remainder when (43 - -3)\/((-2)\/(-1)) is divided by 9\/(-2)*z\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*h**2 - 44*a**2*h - 7*a*h**2 - 2*h**4 + 2 wrt h.\nAnswer: -4*a**2 - 14*a - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.63102 micrograms to tonnes.\nAnswer: 0.00000000009863102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*r**2 - 49484*r + 22000.\nAnswer: -4*(r + 1375)*(9*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 3*p**2 + 4*p. Let k be h(3). Let s(c) = 23*c - 24. Let m be s(k). Let u = 719 - m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/20)\/((-276)\/3420) - (-3)\/69.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.175967ms to weeks.\nAnswer: 0.0000002995634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*k + 12 - 134 - 153 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 6, 0.3, -1.\nAnswer: -6\/5, -1, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d**2 - 30*d - 29. Let y be k(5). Let a = -19 - -91. Let g = a - y. Calculate the highest common factor of g and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/21 + (-7)\/(-49)*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 783 - 783. Let y = 0.6 - 0.1. Which is the closest to 2\/9? (a) t (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - -10?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 - 454*u**2 - 2558*u**2.\nAnswer: -3017*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:58 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.2 (b) -17 (c) -4\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, -0.13, -1, 5.\nAnswer: -13, -4, -1, -0.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*o**2 + 4*o + 84*o**2 + 2*o**4 - o**3 + 6*o**3 + 79*o**2 to b + y*o**4 + g*o**3 + z*o + t*o**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 8*c - 2. Let a(i) = -55*i**2 + 44*i + 10. Calculate a(s) + 4*p(s).\nAnswer: -63*s**2 + 12*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (-17 + 15 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46aa (base 15) in base 14?\nAnswer: 5682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2234311*f**5 + f**4 + 87*f**2 - 1917*f + 1?\nAnswer: 134058660*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 564.89333 and -59?\nAnswer: 623.89333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133342 = -18*g - 40*g. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -20. Let r be (-5 - 20\/m)*3. Sort r, -4, -1, 0 in decreasing order.\nAnswer: 0, -1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*k**2 - 16 + 16.\nAnswer: -214*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7237 rounded to the nearest 100?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*a - 71 = -29, -2*y - 5*a + 51 = 0. Suppose 0 = 3*u - 7*v - 872, 3*v = -y + 3. What is the greatest common factor of u and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-15)*-3)\/(-2)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 352 or 368?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + -6 + -2 + (1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -21. What is the units digit of (-4)\/((-12)\/(-9)) - g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -86, -0.5, -0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o + 1. Let q be y(-1). Let z(f) = 49 + 6*f - 13*f + 3*f. Let m be z(17). Put 1, q, m in descending order.\nAnswer: 1, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-5 - (-12)\/3). Suppose w = f + b - 428, 8*f - 3*f - 2156 = -b. What is the highest common factor of 54 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4305 + -2?\nAnswer: -4307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c = -21. Suppose 8 + c = 3*y. Suppose 0 = y*b - 0*b + 5. Which is smaller: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 3 + 47*g + 52*g - 96*g in the form i*g + d and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -70\/3 and -22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 99370.\nAnswer: -3\/99370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21355419, -21355438, -21355457, -21355476, -21355495, -21355514?\n\"Answer: -19*p - 21355400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -79825*o. Let x(a) = 2*a + 817. Give c(x(f)).\nAnswer: -159650*f - 65217025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342\/15*(-40)\/(-288)*-18.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*b + 7*b**3 + 2 - 1020*b - 790*b.\nAnswer: 7*b**3 - 1906*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32342472 + 32342472 + 5088*q**2 to the form f*q**2 + g + s*q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90213906 rounded to the nearest one million?\nAnswer: 90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538033 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*m**5 - 2*m**3 + 1091*m**2.\nAnswer: 1740*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*g + 354, g + 25 = 5*t + 131. What is the third derivative of -g*o**5 + 12*o**5 - 1060*o**2 + 1030*o**2 wrt o?\nAnswer: -6540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 1929804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (144\/60)\/(4\/(-10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 57. Let q(i) be the first derivative of 0*i - 45 + 2\/3*i**o + 0*i**2. Let a(r) = 2*r**2 + 66*r. Calculate q(a(p)).\nAnswer: 8*p**4 + 528*p**3 + 8712*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 524203515 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 12*d + 9. Let n be p(-11). Let c be n\/(-9) + 488\/72. Calculate the highest common divisor of c and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2255 = 55*z + 2414 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**7\/2520 + 7*l**4\/12 + 11*l. Let r(g) be the third derivative of y(g). Let c(d) = 6*d**2. Determine r(c(x)).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let h = -8513\/66 + 1296\/11. Calculate the common denominator of 26\/(-6)*(g - -1) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/112 + (-43)\/(-7). Let c(u) = 6*u + 9. Let x(k) = -k - 1. Let s(d) = c(d) + 5*x(d). Let q(b) = 1. Let p(t) = n*q(t) - s(t). What is p(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*x - 3. Let f be 5883\/4 + x\/4. Is f*(1 + 0 + -3 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 7*p**2 - 6*p. Let n be h(6). Suppose n = 2*l - 11 - 13. Solve v - 4*v = l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (104 - -1) + -2 + 2. Suppose -4*y + 56 = 2*n - 3*n, 5*n = 2*y - 10. Calculate the highest common divisor of i and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-272)\/(-102) - 2\/(-6). Let f(i) be the first derivative of 0*i + 1 + 3\/4*i**4 + 3\/2*i**2 - 2*i**j. Factor f(p).\nAnswer: 3*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52, -87, -122, -157?\n\"Answer: -35*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blllllbbllbllbllllb. What is prob of picking 4 b?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6724010 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/30 and -19\/234894?\nAnswer: 1174470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j. Let r(c) = -6*c + 103. Calculate v(r(t)).\nAnswer: 24*t - 412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) -0.5 (b) -0.1 (c) -1\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 297007564 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 68, 188, 418, 794, 1352?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Let g = i - 0. Suppose 0 = v - g - 6. What is the greatest common factor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 102, -4, -3 in descending order.\nAnswer: 102, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.68851223 and 0.31495?\nAnswer: 1.37356223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((88\/(-10))\/11)\/((-32)\/8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -10. Is (-2)\/(-3)*156\/f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3006, 6\/5, 0.057, 1\/5?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(48) + (4*(1 + sqrt(3)) - -4*(0 + sqrt(3))))**2*-1.\nAnswer: -448 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/1378 and 49\/251498.\nAnswer: 13329394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195226569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55809)\/105417*1*(-8)\/18?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -443*r**3 + 10. Let n(v) = -222*v**3 + 4. Give -7*n(s) + 3*o(s).\nAnswer: 225*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 50*d - 434. Let j be g(9). Calculate the greatest common divisor of 76 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114 * 25.79.\nAnswer: 2940.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 6 = -15*b - 2*r, -2*b - 4*r - 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 8.8. What is the biggest value in 2\/13, -1\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6501 - -3503?\nAnswer: 13304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f\/(f\/f**(1\/4))*f)\/f)*f))**25)**(-1\/19) assuming f is positive.\nAnswer: f**(75\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 3*b + 6. Determine j(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3566067 is divided by 122.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 796, 889, 1038, 1237, 1480, 1761, 2074?\n\"Answer: -m**3 + 34*m**2 - 2*m + 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8695243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-12)\/27*(715\/(-44))\/13\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -50853 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*u**5 - 193434*u**4 + 189855*u - 13.\nAnswer: -220*u**3 - 2321208*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*h + 27 = 64*h. What is the smallest common multiple of h and 13\/2 - 2\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/8060088 and -157\/1428.\nAnswer: 959150472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8914?\nAnswer: 2, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 7*j + 20*j)*(3 - 1 + 1)*(4*j - 5*j - 7*j) as u*j + i*j**2 + w and give i.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o**2 + 10*o**2 - 73 + 208 + 239 + 8*o**2 as q*o + p + i*o**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.3 - 3.8. Round g to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39364 = -5709*l + 7223*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14782, -59273, -133424, -237235?\n\"Answer: -14830*i**2 - i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 481523 and 130634.\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 0.179?\nAnswer: -7.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 30. Let v be r\/25 - 43\/(-5). Let y be 4\/v*2 + 3. Solve -d + 20 = y*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*t = 92. Let x be t\/(-22) + (-16)\/88. Suppose 5*i - x = 6. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333 - 512 - 13 + 2*m**2 - 657 - 320 + 0*m**2.\nAnswer: 2*m**2 - 1835","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and -1.5831.\nAnswer: -87.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 6996 in decreasing order.\nAnswer: 6996, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -227.279 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1271*d**2 - 158*d + 6. Let r(n) = -254*n**2 + 30*n - 1. What is 3*c(v) + 16*r(v)?\nAnswer: -251*v**2 + 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let i be r(5). Let t = 0.081377 - -0.318623. Which is the biggest value? (a) i (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w. Suppose -m - m - 86 = w. Let f = m - -65. Calculate the highest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7638.702769 + -7633.424. Let r = v + -7.0787724. Let n = r - -1.8. What is n rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(5) - 1*sqrt(5) - sqrt(5)) + 3 - sqrt(5))**2 + 5).\nAnswer: -68 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfggggdgg. What is prob of sequence fgd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -7, 32, 109, 236, 425, 688?\n\"Answer: 2*j**3 + j**2 - 4*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62069 (base 11) in base 4?\nAnswer: 112013113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**10)*l\/l**1*l**(-2\/9)\/(l*l**(-2\/13)) assuming l is positive.\nAnswer: l**(1045\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24286716 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, q: 2, s: 7}. What is prob of sequence qos?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isisailaba. Give prob of sequence albi.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18409783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 4330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 697 (b) 10 (c) 58.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 101871*x - 611118.\nAnswer: -3*(x + 6)*(x + 33951)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 - 9*o - 3. Let c(l) = 25*l**2 + 37*l + 13. Let m(i) = i**2. Let n(j) = -c(j) + 4*m(j). Let y(f) = -6*n(f) + 26*s(f). Factor y(v).\nAnswer: -4*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4))\/sqrt(5)*-1.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, r: 5, v: 1, c: 3, p: 2}. Give prob of sequence cccp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b + 6. Let w = 34 + -34. Let j be (-3 - (w + -2)) + 7. Let g(v) = 11*v - 13. What is j*g(d) + 13*t(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 32, 39, 50, 65, 84?\n\"Answer: 2*m**2 - 3*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Let b = 0.45 + -0.05. Let j = 67.6 - 67.5. What is the closest to o in -1, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + j = -0*b + 39, 0 = 2*b + 5*j - 13. Let z = 2 + 1. Solve -2*m - z*m + 4*k - 7 = 0, -2*m = 4*k + b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 3*z + 50. Let g(h) = -h - 4. Let x be g(z). Let d(i) = -i**2 + x*i**2 - 4*i**2. Let w(n) = -9*n. What is d(w(u))?\nAnswer: 81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 8, -18, 0.3, -10\/3, -0.3, -3\/4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5126, 5135, 5148, 5165, 5186, 5211?\n\"Answer: 2*v**2 + 3*v + 5121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10471, -13013, -15555, -18097, -20639?\n\"Answer: -2542*g - 7929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1607 is divided by 399.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, -0.3, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2 in decreasing order.\nAnswer: 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2 - 22*h - 149. Let y(w) = 11*w**2 + 67*w + 395. Give 8*s(q) + 3*y(q).\nAnswer: q**2 + 25*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjz when four letters picked without replacement from kzjkjkk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y - 4, -k = -y - 6. Suppose 0 = -5*o + 3*g + 8, o = 5*o - g - k. Suppose -5*z - o = 4, -1 = -4*n + z. Solve 0 = -3*u - n*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 40 + 40)*(-6 - 4 - 4).\nAnswer: -98*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 21*i**2 - 19*i + 66. Let r be g(-22). Find the common denominator of (r - 75\/(-10))\/(42\/(-5)) and -101\/128.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - k + 1. Let g(y) = 3*y**2 - 27*y + 10. Let l(b) = g(b) + p(b). What are the prime factors of l(-8)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 f when three letters picked without replacement from {g: 2, v: 7, f: 4}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77527 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + k + 7. Let o(u) = -2 - 4 + 54*u**2 - 55*u**2 - 2*u. Let l(y) = 3*o(y) + 2*t(y). Determine l(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/82096 or -6\/59?\nAnswer: -3\/82096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*g - 3*f, 43*g - f = -44*g + 85*g - 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1363, 2731, 4099, 5467?\nAnswer: 6835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.317 - -2.48. Let u = -1.11 + h. Round u to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 5882\/3, -2\/19, 1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146263 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -0.1, 2, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1001110101110110011100 (base 2) to base 13\nAnswer: 6c4365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/42 - 93\/(-21). Suppose x + 2*g - 385 = -2*x, 0 = x - r*g - 133. Let s = x - 82. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2704353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + 1 + -6 + 2) - -14?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*d - 111 = 28, -4*d + 619 = 5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**8\/84 - c**6\/15 + c**4\/6 - 14*c**2. Suppose u(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*z. Suppose z = 5*q + k - 17, -2*q - k = 3*k + 4. What is the nearest to -0.08 in q, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 76*g**2 - g + 35. Determine l(38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -0.16, 3\/5, -2\/21, -5 in decreasing order.\nAnswer: 3\/5, -2\/21, -1\/8, -0.16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4616642724.35283436 - -4616642574. Let f = -0.35174436 - z. Let s = -150 + f. What is s rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -21*l + 14 + 49*l + l - 8*l. Let i(w) = 7*w + 11. Let z(m) = 1. Let v(s) = -i(s) + 6*z(s). Give 4*h(n) + 11*v(n).\nAnswer: 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30114 + 2?\nAnswer: 30116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 - 5*v**2 - 19 - 21 - 118 - 47*v**3.\nAnswer: -47*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.6 + 3.6. Let c = n + 21. Let k = 16 - 21. Sort c, k, 2 in decreasing order.\nAnswer: 2, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 3.7. Let i = h + 3.6. Put 1, 3, 0.03, i in ascending order.\nAnswer: 0.03, i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Suppose 2*t + 0 - i = 0. Suppose 2*u = t*d - 21 + 65, -2*u + 50 = -4*d. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/66286844 and -93\/5958368.\nAnswer: 530294752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0.02, 0.5, 5\/4.\nAnswer: -5, -4, 0.02, 0.5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**2\/7 + 68*h\/7 + 120\/7 = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 4*d - 1 + 5, -191*c - d = -190*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -171946 (b) -0.07 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 7*c**2 - 8*c - 6. Let z be (-32)\/(-3) + -11 + (-17)\/3. Determine w(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k**2 - 13*k - 2. Let h(w) = -29*w**2 - 27*w - 3. Let r(t) = -6*h(t) + 13*m(t). Give r(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*y**3 + 2 + 88*y - 10*y**4 - 28*y**3 - 2 - 2*y**2 wrt y?\nAnswer: -240*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 5*k**3\/6 + 2*k**2 - 2*k. Let a(o) = -9*o - 8. Let b(y) = -3*y**2. Let h be b(-1). Let v(z) = h*a(z) - 5*p(z). Give v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -14. Let p be 2 - 3 - (1 - c). Solve 0*h = -3*t + p*h + 30, 2*t - 16 = 2*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 88 - 446. Suppose -5*g + y + f = 0, -y + 19 = 2*g - 47. What is the greatest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 6:54 AM?\nAnswer: 351","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 1194.114 rounded to zero decimal places?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2770857 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(11 + (-210)\/20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/81470931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-752)\/141)\/((-88)\/12)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977331157?\nAnswer: 11, 23, 351179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 7, r: 1}. Give prob of sequence rzd.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/22*1342\/(-2928).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (616\/48 - 13) + (-2)\/(-12). Let k(h) = 20*h + 9. Suppose n - 2*f = 19, -2*n + 37 = n + 4*f. Calculate the remainder when n is divided by k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-2*sqrt(833) + sqrt(833))) + -5)*4 + (sqrt(187) - 3*1*sqrt(187))\/(2*sqrt(539)).\nAnswer: -20 + 223*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-3)\/336)\/((-24)\/42))\/((-36)\/888) and 19\/320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/13)*u*u*u\/(u\/(u*u*u**(1\/12)*u))*u)**(-33) assuming u is positive.\nAnswer: u**(-10043\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31312012 (base 5) to base 13.\nAnswer: -915ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -9 (c) -1 (d) -16 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5346 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/3 - (3 + -5)\/(-6). Calculate the remainder when 42 is divided by (46\/(-2 + 3))\/(v\/1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -52*r**3 + 26382832*r**2 + 22323980*r - 4058904 = 0.\nAnswer: -1, 2\/13, 507363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*c**3 + 4*c**3 + 4*c**3 - 14*c + 20*c wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 305 + 196 = -193 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:39 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166073*y**3 - 3*y**2 - 634*y - 3?\nAnswer: -996438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i - 20. Let k(v) = 3*v**2 - 14*v + 5. Let s be k(4). Put s, 1, i in decreasing order.\nAnswer: 1, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-159150743\nAnswer: 159150743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q. Let t(u) = -604*u**2 - 1. Give t(d(b)).\nAnswer: -38656*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -103102330?\nAnswer: -103102331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 376*c**2 - 3*c**3 + 376*c**2 - 3 + 27*c + 3 - 748*c**2 to y*c + n + t*c**2 + s*c**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxzttxxzzzzx. What is prob of picking 1 z and 3 x?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13308, -13156, -12902, -12546, -12088, -11528?\n\"Answer: 51*z**2 - z - 13358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*p + 11*p - 1540 = 0. Suppose 5*x = 0, -4*c = c - 2*x - 140. Calculate the remainder when c is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -c - 4*a, -17*c = -19*c + 3*a + 81. Solve c = b + 11*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682828097?\nAnswer: 7, 53, 103, 107, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/(3\/(-27)). What is the highest common factor of u and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 9*v**2 - 4*v - 6. Let f(q) = -2*q**3 - 17*q**2 - 7*q - 11. Let g(j) = -8*j - 26. Let y be g(-4). Calculate y*f(w) - 11*l(w).\nAnswer: -w**3 - 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:34 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4784 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-30)\/(-21)) - 1\/2. Let w(p) = -p**3 + 4*p**2 + p - 3. Let b be w(4). Let j = b + -6. Put j, 2, y in ascending order.\nAnswer: j, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72032 rounded to the nearest 1000?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470774 (base 10) in base 11?\nAnswer: -915018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 0)*(-4 - t + 4).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -5*o + p + 29, -5*p - 7 = -2*o. Find the third derivative of -7*n**5 + 18*n**2 + 6*n - o*n - 15*n**5 wrt n.\nAnswer: -1320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000904191 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-122)\/(-144) - 2\/9. Let p = -22767\/776 + 45\/97. Let b = s - p. What is the common denominator of b and 17\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71470 is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9415231937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -327 - -483. Let h(a) = a**2 - 12*a + 20. Let g be h(12). Let u be 1\/(4\/g) + 47. Calculate the highest common divisor of u and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.191 - 4.891. Which is the nearest to -0.152? (a) d (b) 1\/10 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -134 - 4*1\/2. Let u(j) = 35*j - 276. What is the least common multiple of u(8) and (-10)\/55 + x\/(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 12 + 17 = -2*z, -3*q = 3. Let l be (3 + 0)*(-4)\/(-6). Put l, 0, z, 5 in descending order.\nAnswer: 5, l, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 4*b - 63, 8*b - 1615 = -n + 3*b - 1536 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13768667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2085 - (-90)\/(-6 - 3). Are 2071 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**3)\/(u**(-11)\/u))**(8\/5) assuming u is positive.\nAnswer: u**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 2*o**3\/7 - 81*o**2\/7 - 24*o + 202. Factor v(h).\nAnswer: 6*(h - 28)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58651 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-three tenths of a gram?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*o + 44. Solve o = -2*y + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3341*a. Let i(n) = -55*n**2 - 1 + 1 - 48*n**2 + 102*n**2. What is i(d(h))?\nAnswer: -11162281*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*v - z - 135, 3*z = 15. Suppose -5*c + 50 = 5*b, 0*c + 5*c + v = 5*b. Calculate the remainder when 53 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(-2 + (-4 + sqrt(637))**2).\nAnswer: -3910 + 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 6\/4*214. Let t = w + 883. Suppose -7*h - 140 = -t. Calculate the greatest common divisor of 24 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*f**4 + 81*f**3 - 35*f**2 + 730*f wrt f?\nAnswer: 408*f + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2 + 5 - (12 - -2)) + -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z**3 - 6*z**2 - z + 3. Let b(h) = -904*h**3 - h**2 + 300*h**3 + 304*h**3 + 301*h**3. Calculate -6*b(i) + j(i).\nAnswer: 7*i**3 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = -27*n + 8*n. Solve 0 = -7*q - n + 39 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -58, -149, -278, -445?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0096414ug to tonnes.\nAnswer: 0.0000000000000096414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*a + 168 = 105*a. Suppose 33 = -a*z + 429. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6715349272 to the nearest integer?\nAnswer: 81947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:31 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3293, 3515, 3743, 3977?\nAnswer: 4217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 3*z**2 + 3*z. Let c be h(-4). Suppose 24 = 4*d + 2*k, k = -k - c. Put 0, 2, d in ascending order.\nAnswer: 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255 - -1616. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0645921 to 3 decimal places.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f = 51*f - 416. Let o = -59 + -43. Let p = o + f. What are the prime factors of p?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21580 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 46.39.\nAnswer: 45.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/24 - (-2)\/(-3). Suppose 5*k + 4 + 1 = s. Let d(n) = -18*n - 1. Is d(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 28985 = 5*f, 0 = 5*j - 0*f - f - 29003. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06166349726 and -3.\nAnswer: -2.93833650274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -14 - 10) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + 6*h**3 - 19*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.22 - 2.02. Which is the closest to p? (a) 1\/2 (b) -0.3 (c) 6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 1317. Let t = -21059\/16 + c. Let i = -53199\/14 + 3798. Find the common denominator of i and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68510 is divided by 1851?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 65, 97, 121, 131, 121, 85, 17?\n\"Answer: -l**3 + 5*l**2 + 26*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/7930 and 133\/2990.\nAnswer: 182390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 696, 691, 686?\n\"Answer: -5*s + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -198237, -198233, -198215, -198177, -198113, -198017, -197883, -197705?\n\"Answer: h**3 + h**2 - 6*h - 198233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z + 26. Let a be w(6). Let t = 288 - a. Calculate the greatest common factor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 291707.4 seconds?\nAnswer: 4861.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*(z*z**(4\/7))\/z*z*z)\/z)\/z)\/z**9)\/((z\/z**(2\/13))\/(z*z**10)) assuming z is positive.\nAnswer: z**(339\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45010 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89 + -22 - -3) + -76.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -230577 - -230573.92406. Let p = v + 3.187. Let g = -0.112 + p. What is g rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/20 + 2*o**4\/3 + o**3\/6 + 4*o**2 + o. Let l be m(-8). Factor 6*g + l + 9 + 2*g**2 - g**2.\nAnswer: (g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 8*x - 10. Let b be i(-8). Let u = b + 11. Let k be (-2)\/((-2)\/2*u). Solve c = k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(243) + (1 + sqrt(243))*-5 - -1*(sqrt(243) + 2))*6)**2 + -4.\nAnswer: 5832*sqrt(3) + 79052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -221604, -4, -1, -3 in decreasing order.\nAnswer: -1, -3, -4, -221604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 17*s + 20. Does 59 divide b(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 15*s - 17. Let p be v(14). Does 25 divide 282*(40\/12 + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178932506 divided by 6803?\nAnswer: -26302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:12 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:53 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -76*g**2 - 7*g + 12. Let k(j) = 75*j**2 + 6*j - 11. Let u(c) = 7*k(c) + 6*s(c). What are the prime factors of u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 42.09281ng?\nAnswer: 0.00000000000004209281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**4\/7 + 16512*o**3\/7 - 17040384*o**2\/7 = 0.\nAnswer: 0, 2064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3021)\/(-792) - (-24)\/(-64) - (-10)\/165.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-24)\/(-10))*81. Suppose 5*g - v = -0*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-16))\/((-1848)\/(-448))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677 = -6*u + 1033. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(136)*2)\/(sqrt(8) - sqrt(288)*-5)*-3)**2.\nAnswer: 15300\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 58 + 47 = 0. Suppose 0 = -0*o + 3*o - f. Suppose -o = -6*u + 17. Solve -7 - 1 = u*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:28 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 16*d**2 - 385*d - 3. Let o(m) = 9*m**2 - 194*m - 2. What is 9*o(g) - 5*p(g)?\nAnswer: g**2 + 179*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5889.5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 a factor of 1799586629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166.045 + -166. Let x = 26.955 + n. Put -2, 1, x in descending order.\nAnswer: x, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.42 in 1\/2, 8, 2\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46993220 is divided by 1019.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 12307 - 24112 + 12105.\nAnswer: -6*w + 300","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 6*c + 9. Is j(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -5*r**9\/3024 - r**5\/60 - r**3\/3 - 5. Let s(y) be the third derivative of d(y). Find the second derivative of s(q) wrt q.\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p - 8. Let c be u(-4). Let l be 670*(-6)\/c*128\/(-48). Find the third derivative of l*o**3 - 27*o**5 - o**2 - 536*o**3 wrt o.\nAnswer: -1620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1120, -1492, -1844, -2158, -2416?\nAnswer: -2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11057607.5 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193121\/20566 - -9\/1582. Which is bigger: f or -10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004 rounded to 7 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b50a8 (base 12) in base 16?\nAnswer: 21fd40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 1 + 1)*(-24 + 24 - 9*q) + 30*q**2 + 4*q**2 + 143*q + 143*q - 306*q.\nAnswer: 43*q**2 - 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from fkffefbfekkkfekfefwf?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {q: 1, a: 2, u: 1, y: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n**3 - 44 - 50 - 48 + 144.\nAnswer: 69*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2407 = -4*n, -3*r + 998 + 1389 = -n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-44)*x**(2\/41) assuming x is positive.\nAnswer: x**(-1802\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 15*f + 46. Calculate v(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q**2. Let o(v) be the third derivative of 119*v**4\/4 + 3*v**2 + 6*v - 72. Calculate o(d(b)).\nAnswer: -7140*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2\/2 + 77*n + 136. Calculate the remainder when f(-12) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -68, -116, -184, -278?\n\"Answer: -c**3 - c**2 - 24*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**2. Let n(d) = -9263*d. Calculate b(n(z)).\nAnswer: 600622183*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**3\/3 - 11*d**2\/2 + 20*d + 10. Let o(n) = -n**2 - n + 1. Let f(a) = m(a) - 6*o(a). Is f(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 549 + -550. Which is the second smallest value? (a) 31 (b) h (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (264836\/38892 + (-2)\/14)*(1 - (-6)\/(-5))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 775*z + 59562 = 802*z. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32074 = 2617*w + 17649 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1046\/(-26) + -36 + 24021\/663?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Suppose -l + y - 2 = 0. Find the second derivative of -3*q**3 + 0*q**2 + q - 4*q**2 + 4*q**l wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10 and 43\/282.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4, 8, -25 in descending order.\nAnswer: 8, -1, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (8 - 2 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrxfqrffcrefeffcf. Give prob of picking 1 e and 1 x.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84, -341, -776, -1395, -2204, -3209, -4416, -5831?\n\"Answer: -z**3 - 83*z**2 - z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -3\/8 (b) 3 (c) 21 (d) -2 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 28. Is 0.1 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -98, -2\/9, 3\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 7*s**2 + 11*s - 7. Let r be d(-9). Let y = r + -60. Let j(z) = z**3 - 6*z**2 - 8*z + 9. Let l be j(7). Sort y, l, -3 in increasing order.\nAnswer: y, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((-7)\/(1848\/(-16)))*1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 - -23) + (-2)\/(4\/14). Solve -2*g - 4*r + 4 - 14 = 0, -g - r = y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9093*q + 24248. Let x(k) = k - 4. Give -m(f) - 6062*x(f).\nAnswer: 3031*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 2*u**2 + 4*u. Give n(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 201010021?\nAnswer: 201010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 0. Calculate the remainder when 34 is divided by (-6)\/8*(-72)\/a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen halves of a hour?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/2 - (-2)\/4. Let v(l) = 6*l**2 - 7*l - 2. Let t be v(c). Let h = -64 + t. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**6\/20 - 3*k**5\/20 + k**2 + 2. Let f(q) be the second derivative of n(q). What is the third derivative of f(s) wrt s?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88978 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**7\/35 + b**3\/2 - 2*b**2. What is the first derivative of w(k) wrt k?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2414120 - 55?\nAnswer: 2414043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3\/8, -6\/13, -1, 3883, 0.08?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(847)*1 + sqrt(847)) + 2.\nAnswer: sqrt(3)\/22 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 27.553374 hours?\nAnswer: 1.14805725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(2*sqrt(24)\/sqrt(6)))**2 - 6*-2*sqrt(931)) + -3.\nAnswer: 7\/4 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/7 - 726254*w**4\/7 + 2178756*w**3\/7 - 2178754*w**2\/7 + 726251*w\/7.\nAnswer: w*(w - 726251)*(w - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214351920 divided by 104460.\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -12. Let f(w) = 2*w**3 - 4*w**2 + 3*w - 2. Let a be f(2). Let j be (-3)\/a + 1\/(-4). Sort 0.2, b, j in decreasing order.\nAnswer: 0.2, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2689 divided by -2689\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 306101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 2)*13 - (241 + -246)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 8:13 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 10*p - 3*p + 28*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (0 + 6)) + -1 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 912751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103565592 divided by 36?\nAnswer: 2876822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -45*n**2 + 24*n - 12. Let a(j) = 5*j**2 - 2*j + 1. Let t = -536 - -533. Let c(g) = t*m(g) - 36*a(g). Let v(s) = 5*s - 5*s - 3*s. Determine c(v(b)).\nAnswer: -405*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*n**3*o*w + 3184533*n**3*w + n**3 - 7*n**2*o*w + 3*n**2*o + 190*n**2*w + 637*n**2 + 5*w wrt n?\nAnswer: -138*o*w + 19107198*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 15*g**2 - 8*g + 50. What is k(-11)?\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 6*h + 15 = 3*n, 103*h - 101*h - 4*n = 22 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e89b9 (base 16) to base 14.\nAnswer: 3a14c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 9*a**2 - 7*a + 9. Let t be h(-9). Suppose -34 = -x - 3*x - m, 0 = 2*x + 2*m - 14. Calculate the highest common divisor of t and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195724543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(i + 5*i - 3*i) + (2 + 2 - 3)*(-4*i - 2*i + 4*i) + 3*i - i - 4*i)*(-1 + 1117*i**2 + 12 - 1115*i**2 + 49*i).\nAnswer: -2*i**3 - 49*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 5. Let x be b(-3). Suppose -10 = -3*k + x*k + 5*d, 8 = 5*k - 4*d. Let v(y) = -5 + y**3 - y**2 + 0*y**2 + 0. Determine v(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from trttrrrrrrrrrrrr.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4164531313 - 146.\nAnswer: -4164531459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28280307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 80 - 198\/5*t - 1\/5*t**2 = 0.\nAnswer: -200, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9695645?\nAnswer: 5, 61, 83, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50832 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 5 + 0)*(2*l - 17*l + 8*l)*(-1 - 1 + 1)*(-1 + 4 - 1)*(-1 - 2 + 2) in the form g + w*l and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*w - 46*w - 6022. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 3*y - 3*o, -y + 5*o = -2*y + 103. Let w = y + -75. Solve 3*q + 15 = w*c, -c - 3 = -2*q - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*j - 1 = 0, -10 = 3*k - k - 5*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1482, 3, 37, 21 in decreasing order.\nAnswer: 37, 21, 3, -1482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 104*f = 102*f - 46 + 16, 4*m - 11 = -6*f + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqbqbqhqbbhbhqbb. What is prob of sequence bq?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**6 + 276*b**5*y - 1412*b**2*y wrt b?\nAnswer: -360*b**3 + 16560*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 9:14 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*o**3 - 471*o**3 + 155*o**3 + 160*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 3 - 3)*(-5*d**2 + 1 - 1) + 6*d**4 - 2*d**4 - 2*d**4.\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b - 10. Solve -b*j + 8 - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-18)\/(-28)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + u - 3*u + 0*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12990112, 25980228, 38970344?\nAnswer: 51960460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 13. Let u = 1503 - 1545. Let g = i - u. Sort -5, 4, g, 0.1 in decreasing order.\nAnswer: 4, 0.1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9002 - -93?\nAnswer: 110.9002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1589681\/44 + 36127. Let o = -27296731\/184 - -148352. What is the common denominator of o and p?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, z: 2, r: 9, n: 1}. Give prob of sequence qr.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 69 - 3*p**3 - 45*p + 37 - 18*p - 30*p**2.\nAnswer: (p - 32)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - b)*(22 - 119 + 2)*(5*b**3 - b**2 - 13*b**2 - 4*b**3).\nAnswer: 95*b**4 - 1330*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162.3 - 3.3. Let n = w - 286. Let v = -126.99999937 - n. Round v to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - 17*v**2 + 89*v + 93. What is a(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/18 + 2 + (299\/414)\/13. What is the nearest to 30.1 in -0.4, s, -1\/5, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*s = -0*h + 11, 5*h + 5*s = 20. Suppose 0 = -3*t - 2*m + 14, 3*t + h*m = -2*t + 25. Let f = -656 - -676. Solve 0*x - t*x = -f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 758814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + p + 2. Let o be s(0). Let f = -2 - o. Let d(c) = 3*c + 3. Determine d(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394178 * -0.6\nAnswer: 236506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 310930 and 457250?\nAnswer: 7773250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8379123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 8:41 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**6\/15 - 5*k**5\/4 + 5*k**3\/6 - 2*k**2 + 70*k + 2. Find the second derivative of f(p) wrt p.\nAnswer: 24*p**2 - 150*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1449 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2060675179?\nAnswer: 17, 23, 307, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2556)\/4260*(-2)\/30?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5108 - -127676\/25. Is x equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Let u(v) = -5*v**3 - 4*v + v**2 + 5*v**2 + 4*v**n. What is the units digit of u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(54\/18 + 1*-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*w - 40. Suppose -2*g - w = -6*g + 4*c, -2*c + 2 = 2*g. Let y(v) = v**2 + v + 1. Let m be y(g). Solve 3 = 2*n + m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9767213\/66036 + 51\/5503. Let f = 591\/4 - x. Let h = 0.8 - 0.87. Which is the third smallest value? (a) f (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -6.0083?\nAnswer: -42.0581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 - 9*v + 14. Suppose 2*t - 3*t + 27 = 4*g, -5*g - 4*t = -42. Let s be w(g). What is the units digit of ((-51)\/12)\/(s\/64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010101 - -11?\nAnswer: 110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 3*y**2 + 2. Let q(j) be the second derivative of j**4\/3 + j**2\/2 - 14*j. Let z = 1 - -2. Let b(s) = z*q(s) - 4*c(s). Differentiate b(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 18*w - 194557. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 648384439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -76 - 140. Suppose 0 = 6*d + 2*d - y. Suppose 10*a - 25 = 5*a. Put -3, a, d in ascending order.\nAnswer: -3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 + 12*x + 12. Let n(f) = 4*f**2 - 11*f - 11. Let s(z) = -4*n(z) - 5*w(z). Let p be s(-9). Let h = p - -18. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30260532 divided by 15130266\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008582 to 6 dps.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 9*s + 21 = -2*h, 2*h - 9 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2470 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 227760000619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(35\/(-5) - -3). Calculate the greatest common divisor of g and 168.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 11. Let c be m(6). Suppose 3*o - 4 = c*o. Let n(y) = 23*y**2 + y + 1. Determine n(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107374104.\nAnswer: 2, 3, 911, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2375*v - 33679. What is o(13)?\nAnswer: -2804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1 + 2 - 4 + 4 + 0 + 0 - 1 + (-2 + 2 + 1)*(-1 + 0 - 1) + 0 - 2 + 0 - 3 + 1 + 1 - 1 + 5 + 1)*(-n**5 + 3*n**4 - 3*n**4).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 106*c**3 + 3*c - 52*c**3 + 2*c**4 - 59*c**3 in the form p*c**3 + w*c**2 + m*c + s*c**4 + b and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.017719*-8\nAnswer: -0.141752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724 divided by 6?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163160057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 10*o + 2. Let q(p) = p + 1. Let i(j) = a(j) - 6*q(j). Let u be i(2). Factor -3\/5*v**4 - 6\/5*v**3 - 3\/5*v**2 + 0*v + u.\nAnswer: -3*v**2*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6.26, -1062, -0.4?\nAnswer: -1062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + c - 4. Let l(q) be the second derivative of -3\/2*q**4 + 1\/20*q**5 + 0 + 19\/2*q**2 + 10*q - 10\/3*q**3. Let b be l(19). What is v(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aea when three letters picked without replacement from {p: 1, e: 7, a: 2}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-21)*(3 - 2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -164 (base 7) to base 13\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*f = 832 + 7248 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 8*b**2 + 2. Let o be x(8). Suppose -g = o*g - 15. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 270328 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 3*u**4\/4 + u**3\/6 + 3*u. Let z be p(1). Let h be -1*z*(1 - 2). Solve -a - a = h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1010\/808)\/(2\/(8\/(-2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/2593 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/24 and -49\/5924.\nAnswer: 35544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90767319.\nAnswer: 3, 30255773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/25 - 328\/(-770). Sort -3, p, 3\/7 in ascending order.\nAnswer: -3, p, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -8887.\nAnswer: -8889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**2 + 8*a = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -74, -174, -314, -494?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 + 2*f**2)*(346 - 879 + 356)*(-18*f - 27*f + 75*f).\nAnswer: -10620*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 - 281. Let i = -81 - q. What is the second derivative of c + 12*c**i + 11*c + 5*c wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 25. Suppose -4*c = -u - 22. Let n = 11 - 14. Put 5, c, n in decreasing order.\nAnswer: c, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2792 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 5:02 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/120 + o**5\/20 - o**4\/6 - o**3\/6 - o**2. Let m be f(-4). Let z(n) = -2*n**2 - 3 - 2*n + 2 - 6*n**2. Calculate z(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -11, 3, -0.039, -4, -1, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32979, -32967, -32941, -32895, -32823, -32719, -32577, -32391?\n\"Answer: o**3 + o**2 + 2*o - 32983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h - 3*h)*(0*h - h + 5*h)*(-2*h - 3*h + 2*h) as f + n*h**2 + j*h + t*h**3 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 43 (c) -0.5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(3\/4)*j**7\/j*j\/(j\/(j*j**(-6)*j*j))*j**(-2\/11) assuming j is positive.\nAnswer: j**(135\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 27*u + 126. Let v be c(6). Suppose -3\/5*x - 3\/5*x**3 + 6\/5*x**2 + v = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 141.6? (a) 2 (b) -0.6 (c) 767\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69746 + 0.11.\nAnswer: -69745.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 + -125.8. What is the second smallest value in -5, t, 0.4, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/42*(-6)\/(-4). Let m = 7 - 5. Let f be (-1)\/((-20)\/64) + -3. What is the nearest to 1 in y, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3701*c + 4261. What is the tens digit of l(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -2256.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 281*a**2 - 558*a. What is q(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*1 + sqrt(272))**2*2.\nAnswer: 2176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1836 = 7*j. Let g = j + -200. Suppose 3*w = -0*w + 3*x + 204, 0 = 2*w + 4*x - g. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-26))\/((-9)\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 27*v - 9*v + 2 - 17*v - 3*v. Let i = -5 + 9. What is m(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = -1. Calculate the remainder when (-16)\/(-20) + (-1 - 243\/(-15)) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3 - 6 + 162*o**2 + 0 + 27*o - 24*o. What is the remainder when y(1) is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 89790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -34748?\nAnswer: 34749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d - 14217 + 11487 = 31797. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41769270 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21408917?\nAnswer: 59, 362863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1889*o = 5*i + 1885*o - 6, 2*i - 2*o - 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.024. Round u to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7897*x**3 + 3*x**2 + 16*x + 18. Let l be o(-3). Suppose 0 = -5*r - l - 260784. What is r rounded to the nearest 1000?\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -2\/5*c**5 + 4\/35*c**7 + 0*c**3 + 0 + 0*c - 1\/12*c**6 + 3\/56*c**8 - 1\/3*c**4 + 4*c**2. Determine u, given that x(u) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380274 and 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 8*d + 5. Let k(x) = -x + 1. Calculate -6*k(b) - s(b).\nAnswer: -2*b**3 - 2*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109664 is divided by 27246.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-6721)\/(-8) - 2*(-4)\/(-64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 254*y**2. Let l(c) = 85*c**2. Give -8*l(i) + 3*t(i).\nAnswer: 82*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 19. Let c be k(0). Suppose -4*s + 1 = -c, -3*w + 3*s + 18 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.771 - 3.4\nAnswer: -4.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72147103 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*n + 62, -4*n - 8 = -8*n. Suppose 15 = -3*d, t - u*d = -20*d + 6050. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 8:31 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -145397555 divided by -47\nAnswer: 3093565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 189, 204, 237, 294, 381, 504?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-2) - -7) + 1. Suppose 0 = 4*r - u*r + 5*f + 35, 0 = 2*f + 8. Suppose -2 + 38 = 2*a - 4*g, 0 = r*a + g - 35. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 60740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2435 plus 0.48?\nAnswer: 0.7235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1775*d - 1657858. Give f(-934).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000898496146 to 6 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/96*-14*(-136)\/6. What is the first derivative of -77 - 87 + f*u + 303 + 196 + 100*u wrt u?\nAnswer: 219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64998 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 -44, -177, -400, -713, -1116?\n\"Answer: -45*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 1 + 1)\/((-60)\/300). Let d be (12\/10)\/(2\/90). Suppose 3*h - 4*k = 200, -4*k - d = -u*h + 274. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108585687 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*(-116 + 117)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 42. Sort -5, v, 1.\nAnswer: -5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/7 + 240868*h**2\/7 - 240865*h\/7 - 481734\/7 = 0.\nAnswer: -1, 2, 240867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/(-15)*3 - 7\/(-35). Suppose -5*r + 3*b = 59, 5*r + 2*b = -44 - 0. Let l be ((-4)\/5)\/((-4)\/r). Put 0, a, -1, l in increasing order.\nAnswer: a, l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -739.65 (b) -1\/2 (c) 1\/2 (d) 0.4 (e) 645\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76970 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: Let g(q) = 4*q**2 + 3*q + 2. Let s be g(-1). Let o = 2 + 1. What is the remainder when (-22)\/(1 - s) + o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29273, 33755, 38237, 42719, 47201, 51683?\n\"Answer: 4482*r + 24791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-7)\/(-2))\/((-22)\/(-44)). Suppose 5*r + 3*j = 15, -14 = p*r - 4*r + 4*j. Solve -r*d + 4*d = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-8*w**2 + 6*w**2 + w**2 + (3 - 2*w - 3)*(-1 - 2*w + 1) + 0*w**2 + 4*w**2 - 2*w**2 - 4*w + 4*w + w**2).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 44. Suppose 2*a = -4*f - 2*a + 96, -a - d = -f. Calculate the greatest common divisor of f and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -914, -2028, -3588, -5594, -8046?\nAnswer: -10944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-306)\/(-17) - (-7 + 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543352390?\nAnswer: 2, 5, 7, 139, 55843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:48 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -4, 9, 11 in decreasing order.\nAnswer: 11, 9, 7, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 25*p**2 + 60*p + 678. What is l(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/60*(-160)\/(-84))\/((-10)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2\/5, -5, -140 in descending order.\nAnswer: 4, 2\/5, -4, -5, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 4*s, -5*l = -3*s - 969. What is the highest common divisor of 45 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 127*u**2 + 62*u - 127. Let g be p(-64). Solve 2*h + 15*j + 4 = 11*j, h - j - g = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -10810?\nAnswer: 10816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 439.\nAnswer: -307.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28))\/(450\/525)*(-27)\/(-30)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10846 and 561?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-5*(-1)\/2)\/(-57 - (-44 + -10))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16031 = -8*r - 5455. List the prime factors of r.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 3*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 - ((-10)\/(-3))\/(102\/(-10251)) and 24.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q**2 - 5*q**2 + q**2 + (-2*q - 3*q + 7*q)*(-3*q + 1 - 1))*(-3*q + 3*q + q).\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 5*c + 6. Let b be q(-4). Suppose -b*y = -0*y. Let a = -1 - y. Is 3 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by ((-5)\/15)\/(43\/(-42) - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*j - 35 = c, 0 = -5*c - 4*j + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 187, 184, 177, 166, 151?\n\"Answer: -2*j**2 + 3*j + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747674 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/(-910) + 6\/15*-1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**4\/3 - 1121*l. Let s(x) be the second derivative of 5*x**3 - 3*x. Give u(s(d)).\nAnswer: -3600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 348 + 12. Let i = n + -1441\/4. Which is the biggest value? (a) 4 (b) 34 (c) i (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b + 8 = 23*b - 2*k, 2*b + 5*k = -20. Let t = -233417\/95 - -2457. Which is greater: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9 or -5883022?\nAnswer: -5883022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0433 and 5?\nAnswer: 4.9567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x + 127. What is q(-30)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) -4 (c) -2\/11 (d) 5 (e) -5\/2 (f) -3 (g) 2677\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 8*c - 3. Calculate z(6).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3022 divided by 4\nAnswer: -1511\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 768, 1538, 2306, 3072?\nAnswer: 3836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263840 or -263827?\nAnswer: -263827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 25*k - 21. Let x be r(14). Suppose -2*d - 2*z + 56 = 0, z - x = -5*d - 5. Is 24 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4377*i. Let k(u) = 2*u. Determine x(k(h)).\nAnswer: 8754*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 4*u + 2*u)*(-26 - 5*u + 26)*(-4 + 12 + 4) + (-3*u + 5*u + 2 + 0*u)*(-3*u - 38 + 38).\nAnswer: 114*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156452 divided by 125?\nAnswer: 2156452\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.257 + 0.018\nAnswer: 0.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 17. Let f = l - 9. Which is the closest to 1? (a) -0.1 (b) f (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 96*v + 11382. Determine n(-122).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 - (-2345)\/10 - 1. Let w = 273 - c. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31242138 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 12171.319.\nAnswer: 12170.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1692 - 1536. Let i = h + -156. Determine w so that 0*w**2 + 4\/3*w**4 + 0*w**3 + 0 + i*w = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3*56\/(-30)*5)\/1.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, n: 1}. What is prob of sequence wn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9928 divide 1003780368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3798d1 (base 16) to base 7.\nAnswer: -42653513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.8719077*-0.1.\nAnswer: 0.78719077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4675815, 9351626, 14027433, 18703236?\n\"Answer: -2*n**2 + 4675817*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 671 and 8549299?\nAnswer: 521507239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*2\/864*-28*(-3)\/(-238).\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -829 + 833 - (-11 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, -4, -0.0605 in descending order.\nAnswer: -0.0605, -4, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -10) + 7 - (0 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1715, -3427, -5139, -6851, -8563?\nAnswer: -10275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = h - 2. Suppose -2*n + h = -n + 2*q, 22 = 2*n + 5*q. Let j be (n - (0 - 3)) + 1. Solve j*l + 35 = 3*o, 2*l + 13 = -2*o + 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 37. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 37*((-6)\/(-3) + 3). Suppose -3*k - 2*s + 140 = 0, 0 = -0*k - 4*k - s + j. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(17\/6)\/z*z*((z\/((z*z*z*(z\/(z**(-3\/5)\/z*z))\/z)\/z))\/z*z)\/z assuming z is positive.\nAnswer: z**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o + 902 - 774 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.004 and 0.5357.\nAnswer: 0.5397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/4 + 3*q**2\/2 + q - 2. Let k be v(-2). Suppose -8 = -k*l + l. Solve 0 = -4*b + h + 1, -l*b - h - 2*h = 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1555 + -2512?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2093467t?\nAnswer: 209.3467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 82\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1127.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 123844?\nAnswer: 619220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 790 - -1\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53108.000031867 - -53108. What is j rounded to 6 decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 9673\/1645?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -2*i - 10. Let d = i + -29. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g + 0)*(6 - 4 + 2 + (0 + 0 + 3)*(-1 + 6 - 3)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k - 3. Let y(m) = -1. Let x(a) = p(a) - 5*y(a). Let f(g) = g - 2. Let t be f(8). Is 12 a factor of x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*g**3 + 6*g**2 - 93*g + 60.\nAnswer: 3*(g - 1)**2*(9*g + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 378.3 + -379. What is c rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 2*v. Let p be j(-2). Suppose -o - 61 = 3*u, 21 = 2*o - 3*o + 5*u. Is 4 a factor of p\/10 + o\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 78*z + 5. Let m be u(5). Let s = m + -204. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45775164 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 + 57*h - 11. Let d(k) = -3*k**2 - 27*k + 4. Calculate 7*d(x) + 3*l(x).\nAnswer: -3*x**2 - 18*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*g, -2*g - g = -2*c. Solve -3*w - 4 - 11 = c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.331 and -23.\nAnswer: -145.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 19\/976 (c) -18.94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4787983621 to three dps.\nAnswer: 1.479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*j**4 + 139*j**4 + 49*j**3 - j**5 + 102 - 94035*j**2 + 94024*j**2 wrt j?\nAnswer: -60*j**2 - 96*j + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326*g**3 - 136*g**2 wrt g?\nAnswer: -1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -50, -3, 5, 6, -394, 1 in increasing order.\nAnswer: -394, -50, -10, -3, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(1025\/(-5535)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116276 divided by -137?\nAnswer: 8148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6665 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 i when three letters picked without replacement from wmwwmzmmmiwzzwww.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -30. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731773543 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+4789\nAnswer: 4788.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -403.\nAnswer: -1\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -9*x - 4*n, 15*x + 2*n = 12*x + 4*n + 44 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -98 + -8?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -213 + 3584*b + 81 + 85 + 47 as x*b + y and give x.\nAnswer: 3584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 4*a + 2*a - 6*a + 2*a - 2*a - a - 3*a + 2*a + (4*a - 3*a + a)*(-6 + 3 + 1) + 3 - 9 + 8 - 9*a.\nAnswer: -24*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 7*j - 30 + 3 = 0, 0 = -6*t + 5*t + 2*j - 4*j + 22 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4)*1)\/((-15)\/6355710). Let m = -123143 - c. What is m rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -11. Let z(w) = 1. Let y(f) = f - 1. Give m*z(u) - 2*y(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/5))\/s**0*s**(-3\/2)\/((s*s**(-7))\/s) assuming s is positive.\nAnswer: s**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.30550733 rounded to three dps?\nAnswer: 266.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-20)*g*g*g**(6\/11)*(g**(-7\/2))**(2\/25) assuming g is positive.\nAnswer: g**(-4877\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 16*g**2 - 11*g + 2. Give d(-15).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 12*z - 2159. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -1 - 14\/14. Solve 3*f - i - 11 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 15?\nAnswer: 49\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 21 = -0*i. Suppose 3*k + 166 = 2*f + i*k, 2*f + k - 169 = 0. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + 1*(sqrt(143) + sqrt(143)*2 + sqrt(143) - sqrt(143) - sqrt(143)) - sqrt(143)) + sqrt(143))\/sqrt(11).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319.2*0.108.\nAnswer: -34.4736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 5) to base 10.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(-1 + sqrt(112) + 0 + -5 + sqrt(112)*-2 - (sqrt(112) + (sqrt(112) - (1 + sqrt(112))) + 1 - (sqrt(112) - (-5 + 1 + sqrt(112))))))**2.\nAnswer: 41472*sqrt(7) + 585792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7837037 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v - 72*v + 53*v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 48. Suppose -2*d + d - 64 = -3*y, -22 = -y + d. Let a(i) = -y*i + 3 + 0 + 25*i. Let g(v) = 15*v + 11. Calculate k*a(w) - 6*g(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(0*u + 4*u - 2*u) + 0*u - u - 2*u + 4*u - 3*u - 3*u)*((1 + 0 + 9)*(22 + 10*u**2 - 22) + 2 - u**2 + 2*u - 4*u + 2*u**2).\nAnswer: -101*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/11, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j\/(((j**6\/j*j*j*j)\/j)\/j))\/(j\/(j*j**(1\/4)))**(2\/33))**(-21\/4) assuming j is positive.\nAnswer: j**(3227\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 13) to base 15.\nAnswer: 1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -8 - 18 - -3) + 8 + -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -40. Suppose -t*a = 46760 - 838166. Let u = 104746 - a. What is u rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -21*h**3 + 8*h**2 + 17*h + 11. What is the remainder when j(-3) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14750 - 162246\/11. Put 1, 5, -9, p in descending order.\nAnswer: 5, 1, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 3 = -3*n + s, 5*n + 3*s - 25 = 0. Let r(g) = g**2 + 2*g + 2. Let f be r(n). Suppose 4*z = 2*y - f, 2*y - 3*z = -0*y + 8. Solve -y = -2*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 97504016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o = 16*o, -4*u + 5*o = -664. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 10. Calculate j(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/(-9))\/((-8)\/60) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1445156, 2890320, 4335486, 5780654?\n\"Answer: f**2 + 1445161*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 3224520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z. What are the prime factors of n(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 4 - -2*1. Suppose -5*c = b - 12, b + b + p = 4*c. Find the third derivative of 3*q**2 + 0*q**b + 3*q**4 - q**4 wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 365597788749.9529819 + -365597767870. Let t = 20880.13 - m. Let n = 0.177 - t. What is n rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/25*k**3 + 2\/25 + 2\/25*k - 2\/25*k**2.\nAnswer: -2*(k - 1)*(k + 1)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6 = 2*b - 0*y, 0 = -3*b - 2*y - 10. Is b\/(-4)*(2 - -26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -2?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*v + 58*v + 0*v**3 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l - 29685 = -116496. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0262 times -0.69?\nAnswer: -0.018078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 0 + sqrt(112)).\nAnswer: 20 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -11*v - 49. Let w(h) = 176 - 90 - 88. Let n(z) = 2*d(z) - 18*w(z). Is 6 a factor of n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 15*v - 5 = -10*m, 0 = v - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*k + 5 = p, 0 = k - 1. Let i be 70\/22 - 6\/33. Suppose 2*r + 2*f = 6, i*f = 5*r - 13 - p. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Let j = 0.1 + -0.6. Suppose -269 + 129 = -28*p. Which is the fourth smallest value? (a) j (b) -1\/3 (c) h (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6863 = -z + 5*k, -z + k = -0*k - 6883. Suppose 17*f - 21134 = -z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 24 = 5*m, s - 21 = -s - 5*m. Let p(r) = r**3 + 42*r**2 - 44*r - 40. Let j be p(-43). What is the highest common divisor of j and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 10.1. Let y = h - 13. What is the third biggest value in 4, -2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, 1 x, and 1 z when four letters picked without replacement from {g: 1, z: 7, c: 1, x: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -2.28559, 91 in descending order.\nAnswer: 91, 3, -2.28559, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020463 to 7 decimal places.\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -229, -321, -413, -505?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/10)\/((-11)\/165). Let z be i*((-10)\/(-6) + -1). Suppose -37*k + 29 = -20*k + 148. Which is the closest to -1\/3? (a) z (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23600208 divided by 1026096\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -42258390 divided by -8451678?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/24 - a**3\/6 - a**2. Let d be l(5). Suppose z + 15 = -2*n + d*n, -z + 3 = 0. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, -19, -56, -111, -190, -299, -444, -631?\n\"Answer: -n**3 - 18*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2, 4, 1 in descending order.\nAnswer: 4, 2, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = -3*h + 48, 0 = 5*h - 2*z - 96. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-16)*-34*251. Let w = y - -2174. Calculate the common denominator of w and 35\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*4\/((-864)\/(-24)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 356079 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*g = -32 + 14, k - 3*g = -3 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 5. Give u(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.542 - -0.458. Which is the closest to -4\/5? (a) 2\/5 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(342)*-4)\/sqrt(9))\/(-6*sqrt(8)))**2 + -1.\nAnswer: -10*sqrt(19)\/3 + 235\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 13*y = 36. What is the common denominator of (-109)\/12 + 2 - y\/(-12) and 57\/46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 + 5 + 0 + p. Suppose 3*z = 5*n - 24, -3*z + 3*n - 12 = -2*z. Calculate f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53683\/5 - 10737. What is the closest to 0 in 0.01, q, -0.39?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*i + 60, -47 = -4*n - 3*i - 0*i. Factor -5*w + n*w**2 - w - 23*w**2 - 9*w**2.\nAnswer: -3*w*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/540 and (5649\/72)\/(-7) - (-30)\/5?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 8:40 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 5*q = 84. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventeen quarters of a second?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i**2 + 9. Let l(j) = -4*j**2 - 4. Suppose 13 = 4*m - 7. Let r(n) = -6*n**2 - 6. Let a(f) = m*r(f) - 8*l(f). Give 9*a(t) - 2*w(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, p: 1, g: 3, c: 3, e: 4, u: 1}. Give prob of picking 2 y.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a week in minutes?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**4 + 895883*i**3*v**2 - 85690*i**2 + 7*i*v**2 + 3*i*v wrt i?\nAnswer: -24*i + 5375298*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 1, 615, 0, 49, 5, -5 in descending order.\nAnswer: 615, 49, 5, 1, 0, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + 9*c + c)*(2 + 5 - 3)*((2*c**2 + 3*c**2 - 4*c**2)*(-2 + 2 - c) - c**2 + c**2 - 6*c**3) - 4*c**4 + 0*c**4 + 3*c**4 + 2*c**4 - c**4 - 2*c**4.\nAnswer: -450*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3533 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4 + 6 - 21 + 1746*v. Is z(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(3\/(-15))\/(51\/425)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3.6, -4, 1, -2.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6*i + i + 6, 0 = -j + i. Let s = -67 - -72. Calculate the remainder when s is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*a = 175 + 753 - 13 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(88)\/sqrt(8))*-3 - (3*sqrt(176) - sqrt(11)).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/26 - 2 - ((-1424)\/208 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 7*u**2 + 6*u + 4. Suppose b + z - 11 = 0, 8*b - 3*b - z = 25. Let q be g(b). Solve -d - q = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 - 4*v**3 + 4*v**3)*(-3 + 3 + 1) + (-2*v**2 - v**3 + 2*v**2)*(1783*v + 1402*v - 1065*v).\nAnswer: -2119*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 920 = -117*s. Put s, -2, 5 in descending order.\nAnswer: 5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f6 - 29?\nAnswer: 2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8115 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*c = 378038, -11*i - 3*c = -15*i + 756061. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -3 - (19 - (45 - (0 + 13)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 241060.\nAnswer: 2\/12053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 3*r = 2*v - 17, 50*v + 0*r = 36*v - 2*r - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 2*l**2 + 2\/9*l**3 + 16\/3*l + 25. Determine a, given that x(a) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 248951 or -1\/3?\nAnswer: 248951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = c. Let f(z) = 2*z - 2. What is the tens digit of f(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -g + 2, -k - 4 = g - 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + (-76 - -9) + -1 + 35.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3525204467 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191*14 - (11 + 169\/(-13)).\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25112 and -112671.\nAnswer: -87559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6136*t**6 + 64*t**2 - 9*t - 9 wrt t?\nAnswer: -736320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + n**4 + n**4 + (-4*n**2 - n**2 + 3*n**2)*(-n**2 + 0*n**2 - n**2) + 3*n**4 - 3*n**4 + 9*n**4 + (-3 + 3 - 2*n)*(-2*n + 2*n**3 + 2*n).\nAnswer: 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 311375076 to the power of 1\/2, to the nearest integer?\nAnswer: 17646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 589084 to the power of 1\/2, to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvgbqqx. What is prob of sequence gqtv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*q + 4*d, -5*d = 2*q - 11 - 24. Is (q\/(-10))\/((-1)\/218) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-976)\/(-18) - 4\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/7))**(-1) assuming m is positive.\nAnswer: m**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -458550 or -458552?\nAnswer: -458552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (63\/(-28)*-20)\/((-5 + 1)\/(-340))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 0.12 (c) 0.4 (d) 0.1507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/7))**(1\/65)\/(c**(-3\/7)*c**(2\/7))*((c**(-2\/11)\/c)\/c**7)**15 assuming c is positive.\nAnswer: c**(-613436\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 7 + 1 = 5*f + 2*n + 2, -f - 31*n - 246 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2294*i**5 - 87457*i**4 + 8126*i**2 - 3805*i + 5 wrt i?\nAnswer: 137640*i**2 - 2098968*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2172678\/5 - 434535. Let b be (-2)\/6 - 1\/(-5). What is the second smallest value in 0.3, r, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115197 by -43.\nAnswer: -2679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyjjyyyyyyyy. Give prob of sequence yy.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 39 = -13*n. Solve -m - 3*p + 6 = n, -5*p + 10 = m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 83. Which is the closest to 0? (a) -4 (b) h (c) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6371490 - -3300430011\/518. Let q be 3682\/(-7252) - (-2)\/4. Let j = q + g. Find the common denominator of 17\/9 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 2)\/(-1 - -2). Let b = -8 + 8. Suppose -s + n + 1 = b. Solve m - 3 = -s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 7*x. Let h(i) = -2*i**2 + 3*i. Let z(q) = -7*q - 25. Let b be z(-4). Give b*u(j) - 7*h(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2. Let b(q) = -16473*q - 4. What is s(b(j))?\nAnswer: 542719458*j**2 + 263568*j + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - (-34 + 19)) + 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -412?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02204948 + 35456.\nAnswer: 35455.97795052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 + 3*o**4 - 3*o**4 + (-2*o**3 + 2*o**3 + 2*o**3)*(9*o - 6*o - 1240 + 1790) as s*o**2 + k*o**3 + f*o**4 + j + q*o and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (5 - 1) - (3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*f**2 + 3 - 5)*(1 - 1 - 2) + (-f + f + f**2)*(3 + 1 + 0).\nAnswer: -6*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17733 is divided by 306?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*z + 125 + 67 = 0, 73 = b + 2*z. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/416 and 73\/68588?\nAnswer: 548704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2803259853 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 48*n - 176. What is the smallest common multiple of w(52) and 164?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -445734 divided by -6\nAnswer: 74289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/72 and -29\/1448.\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*c + 22*c - 7*c**2)*(-c + 10 - 25 - 16).\nAnswer: 7*c**3 + 217*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -15*m**4 - 27108*m**3 - 1879221*m**2 - 374760*m = 0.\nAnswer: -1735, -72, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j\/j**(-1\/51))\/j*j*j)\/(j\/(j*j**(21\/2)\/j)))\/(j**20\/j*j*j)**45 assuming j is positive.\nAnswer: j**(-95011\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 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 next term in 1595, 3212, 4829, 6446, 8063?\nAnswer: 9680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*j*m - 136261*d*j + 592326*d*m + 54*j*m - j - 6*m + 1 wrt j.\nAnswer: d*m - 136261*d + 54*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4867854 = 5*j + 1804354, -t - 4*j = -6672217. Let q = t - 4432209. Suppose -d - 2800001 = -5*i, -4*d - q = -5*i + i. Round i to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1386*q**3 + q**2 - 2*q - 8. Is c(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01613533 + -2\nAnswer: -1.98386467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102175, -204478, -306781, -409084, -511387, -613690?\nAnswer: -715993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343705 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21fa - -2?\nAnswer: -21f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**2\/2 - 3*l + 13. Let o(g) = -1. Let h(w) = -j(w) + 3*o(w). Let q(a) = 16*a**2. Determine q(h(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 208 = 143 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827195 is divided by 827159?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -4, -35, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.64 - -9.281. Let u = f + -0.141. Let o = 29 + -30. Which is the nearest to 9? (a) o (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2 + 0*a**3 + 12*a**2 - 4*a**3 - 5 + 5*a**3. Let t be (75\/(-12))\/(-5)*4. Suppose 0 = -3*l - 2*r - 25, t*r = 2*r - 15. Calculate d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 2:27 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v + 4. Give w(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51134007091 - -89?\nAnswer: 51134007180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71501 is divided by 1117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2784*g**3 + 11*g**2 - 1573*g. Let j(z) = 557*z**3 + 2*z**2 - 315*z. Let n(s) = 11*j(s) - 2*r(s). What is the second derivative of n(o) wrt o?\nAnswer: 3354*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/75 + 2*p**4\/15 + 8*p**3\/15 - 856*p**2. Factor z(c).\nAnswer: 4*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.09, 1\/26, -1\/5, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 2\/5, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74829632 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1750.182 decades?\nAnswer: 17501.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -103213122 (base 4) to base 9\nAnswer: -132183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**7\/525 - 2*a**5\/75 - 110*a**2. Factor g(z).\nAnswer: 2*z**2*(z - 2)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 203.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 105\/(-6)*3624\/(-15). What is the first derivative of -t*k + 4228*k + 59*k**3 + 38 wrt k?\nAnswer: 177*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3343 - 3319. Let p(t) be the first derivative of 27*t**2\/2 - 1. Let v be p(8). What is the highest common divisor of x and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*s - 13, 3 = -p - 0*p. Let g be (2\/s - (-6)\/90)*-15. Solve v = g*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -385, -387, -391, -397?\n\"Answer: -d**2 + d - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 12. Let l(s) = s**2 - 9*s + 2. What is the tens digit of l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-2))\/(567\/(-972))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -10331.\nAnswer: -1446.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 139547 divided by -3\nAnswer: -139547\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 + 2*g**2 - 5*g**2. Let r(k) = -7 + 7 + 6*k**2. Give w(r(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-546)\/(-60) - (-9)\/(-90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a + -4?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310632 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 2*i + 0 + 245\/8*i**4 + 35\/3*i**3 + 5\/3*i**2. Suppose h(u) = 0. Calculate u.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/17232896 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 5. Suppose 76*t = 75*t + s, 4*s - 2 = 3*t. Let o(v) = 2. Calculate t*y(n) - 5*o(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-490)\/(-49) + (-26)\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3980622586.\nAnswer: 2, 5407, 368099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 19109*n + 12*n**4 + 3 + 38214*n - 19107*n + 5*n**2 to c*n + a*n**2 + y*n**4 + s + k*n**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1211 - -8534\/7. Let g(f) = 3*f**3 + f**2 + f + 1. Let i be g(-1). Find the common denominator of (-46)\/36 + i\/4 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2. Let c(k) = 45*k + 2. Determine q(c(o)).\nAnswer: -8100*o**2 - 720*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmmpm. What is prob of picking 2 m?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279933 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2077, -4157, -6239, -8323?\n\"Answer: -k**2 - 2077*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 386*k**2 - 8*k - 91759 wrt k?\nAnswer: 772*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -72\/5 + 2\/5*q**3 - 8\/5*q**2 - 82\/5*q = 0.\nAnswer: -4, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -22*u**2. Let p(b) = -3*b + 1. Calculate g(p(l)).\nAnswer: -198*l**2 + 132*l - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3720114 divided by -206673.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(1008)*3 - (sqrt(1008) - (sqrt(1008) - (sqrt(1008) - -6*sqrt(1008)*-2)) - (sqrt(1008) - (sqrt(1008) + sqrt(1008)*2))*5))**2.\nAnswer: 1234800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 3, j: 2, n: 4, v: 3, f: 6}. What is prob of picking 1 v and 1 z?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + 60. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*g - r, 8 = -2*g + 2*r + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 999342.2 kilograms?\nAnswer: 999342200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Suppose -5*h = -237*a + 235*a - 13, 3*h + 15 = 5*a. Solve 2*m + 3 = -s*w + a*m, 0 = w + 4*m + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-330)\/(-24) - (-3)\/12. Let v be ((-8)\/(-14))\/(4\/j). Find the second derivative of -3*c + 9*c + 4*c**2 + 4*c**v + c wrt c.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*l*o + 3*l*y**2 + 2*l + 4*o*y**2 - 5*o wrt l?\nAnswer: -4*o + 3*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2299)*2)**2.\nAnswer: 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4354295 and 3740?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + ((-24 - -11) + 42 - 21).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 35*n + 98. Let b be i(32). Sort 5, b, -2, -3 in descending order.\nAnswer: 5, b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 26 - 2 = 5*s, 2*i = -3*s + 15. Suppose -3 = -s*v + 3*n - 0, 2*v = -n - 13. What is the second biggest value in -87, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307005874?\nAnswer: 2, 7, 1669, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (-14 - (3 - 16) - -12)) + -4 - 81?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6362 - 1280?\nAnswer: 5082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-21)*575\/(-345))\/(0 + -1)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = 0. Suppose -2*g = 3*d + 9 - 38, 3*g - 33 = -d. Solve c = 3*k + 4*j + 20, 0*k = -3*k + j - g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/91, 1, -14, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5 = -k - 14, -16 = 4*z. Let u be 21\/(-14)*(-4)\/3. What is the derivative of -5*n**2 + n**2 - k + 8 - n**u wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s - 44. Give g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.083 - -0.08418. What is h rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.9? (a) 3 (b) 0.2 (c) -2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 4*k**2 - 5*k + 6. Let n be p(5). Let f be 400\/n*(-5016 + 6). Round f to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 7:02 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -21. What is the remainder when 81\/z*(3 + -1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.61 + 13.61. Which is the fourth smallest value? (a) g (b) 7 (c) 1\/3 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 993 + -919. What is the highest common factor of 962 and p?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 12:01 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + 6*n - 11*n - 12*n to the form h*n + z and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 + 22*a**4 + a**4 + 12*a**2 + a**2 wrt a?\nAnswer: 528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.5 (c) 1\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 0. Which is smaller: -34 or c?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/56)\/((7392\/128)\/(-77)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let t(s) = -2*s - 80 + 75 - s. Let d(j) = -2*j - 3. Let h(p) = -5*d(p) + 3*t(p). Give 5*h(z) - 8*u(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/17)*j**(-29)*j**(-4\/23)\/j**3)**(16\/7) assuming j is positive.\nAnswer: j**(-27808\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b. Suppose s = -3*n + 16 + 85, 3*n - s - 91 = b. Calculate the lowest common multiple of 4 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + -1112001010120?\nAnswer: -1112001011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*b**3 - 21*b - 9*b - 7*b + 7*b wrt b?\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - 1) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 38*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 14 = -42. Let d(x) = -x**2 + 12*x - 8. Let b be d(11). Solve -m - b*s - 5 = 0, -m + 3*s = 1 + q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 209799*x + 209796.\nAnswer: 3*(x - 69932)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 4*s - 58. What is the remainder when r(7) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2 - 5*q**3 + 5*q + 7*q + q**4 - 2*q**3 + 4*q**3 - 8 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-145*k**2 + 84*k - 84*k)*(31*k**2 - 58*k**2 - 171*k**2) to m*k**4 + y*k + g*k**3 + s*k**2 + a and give m.\nAnswer: 28710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*z + 238 - 238)*(z**3 + 2*z**4 - z**3) - 2*z**5 + 7*z**5 - 4*z**5 + (4*z**3 + 0*z**3 - 2*z**3)*(2*z**2 + z**2 - 4*z**2) + z**5 - 6*z**5 - z**5.\nAnswer: -87*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7583382 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 8 = 4, -4*j = -3*i - 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:49 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18145671893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50 from -4.73912398768.\nAnswer: -54.73912398768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 2*u. Let z(g) be the second derivative of 5*g**4\/6 + 4*g**3 + 4*g**2 - 4*g + 10. Let l(c) = -44*d(c) + 4*z(c). Factor l(t).\nAnswer: -4*(t - 4)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 786 + -344. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, -7050 in descending order.\nAnswer: -1, -4, -5, -7050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {r: 7, j: 1, n: 5, y: 1, o: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18463 - 18463.00021803. Round v to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 45. What is the remainder when 88 is divided by (732\/8)\/d + 2\/(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s**3 - 96245645*s**2 - 96245644*s**2 + 192491288*s**2.\nAnswer: 31*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 35008469?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 7927*z - 7928.\nAnswer: (z - 1)*(z + 7928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r**4 + 24040*r**3 - 79708*r**2 - 585040*r + 2080000 = 0.\nAnswer: -5, 4, 13\/3, 2000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5))**0*z**(-3\/4)\/(z*z*z**(-5\/3)) assuming z is positive.\nAnswer: z**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 - (-6 - -3)) - (1 - -15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1115, 1403, 1675, 1925, 2147?\nAnswer: 2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + (-147)\/(-28). Solve -4*t + 4*d + 30 = 2, t - j*d = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108)*-4)**2 - ((-1*sqrt(120) + sqrt(120) + sqrt(120))*-5)\/sqrt(10).\nAnswer: 58*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4971 is divided by 1649.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/8 and ((-177)\/48)\/(-8 - (3 - 5))?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19590 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28767, 112141, 251097, 445635?\n\"Answer: 27791*v**2 + v + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 13 = 3*x, -25506*x + 25510*x - 12 = -12*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147096 divided by 2.\nAnswer: -73548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**5\/5 + 19*n**4\/4 + 5*n**2 - 2379*n + 2321. Differentiate d(z) wrt z.\nAnswer: -4*z**3 + 57*z**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = -4*s + 6*s, 2*t - 10 = 3*s. Suppose 7*j - 4*j = 0. Suppose j = o - 3*o + 10. Calculate the greatest common factor of o and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*g - 0. Let z be (-9)\/(-6)*g + 3. What is the units digit of (3 - (-2)\/(-2)) + z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 78 = 10*m. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1332200331 (base 4) to base 6\nAnswer: 15035033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 2*d**2 + 3*d + 2. Let n(h) be the second derivative of h**5\/10 - h**4\/4 + 2*h**3\/3 + h**2 - 3*h. Give -3*l(o) + 2*n(o).\nAnswer: -2*o**3 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17074886*c**3*k**2 + 3656755*c**3 - 4*c - 2*k**4 + k wrt k.\nAnswer: 34149772*c**3*k - 8*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = b, 10 = -2*n - 7*b + 3*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s - 4*r, 2*r = -s + r - 5. Let l(h) = h - 1. Let j be l(-3). Is j bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-4)*n\/(n**(-1\/7)\/n))\/(n**1)**(2\/59)*((n**2)**(2\/5))**(-6\/13) assuming n is positive.\nAnswer: n**(-6987\/26845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 + 102 - 63)*(-37 + 37 - 52*h) - 4*h - 2 + 5*h + h.\nAnswer: -5354*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 10*z**2 + 44. Let i(u) = -2*u**3 + 13*u**2 - 44. Determine 3*i(w) + 4*o(w).\nAnswer: -2*w**3 - w**2 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0596 or -913?\nAnswer: -0.0596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - -48 - (8 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 18*z**2 + 71*z - 75. Determine i(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 227799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + i - 45 = 0, 3*t - 15 = 4*i - i. Suppose -f - 10 - 14 = -5*a, -2*f = -5*a + 33. Let g = -6 - f. Solve g*c + 4 = t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1 + (-24)\/(-9) - 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from exeexxexxxxxex?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 5*m**3 + (5*m + 0*m - 4*m)*(12 + 8 - 12)*(7*m**2 + 50*m - 50*m).\nAnswer: 61*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 565275 and 1695825.\nAnswer: 1695825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-27)*60564\/(-10094)\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 167 = -5*x + 48, 5*x = 2*w - 91. Solve 88 = w*a - 52 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by -3 - 18*4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (1*80\/(-64))\/((-1)\/2652)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1806972 divided by 276?\nAnswer: -6547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/50009435 and -9\/394.\nAnswer: 100018870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/30*(-60)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/1260)\/((-7)\/280)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 - 215330*v**3 - 2319426845*v**2 - 23178121200*v - 57931848000.\nAnswer: -5*(v + 5)**2*(v + 21528)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8 = 3*b - 5, 16 = -4*y. Suppose 5*o - 2*z - 35 = 0, 3*o + 2*z + 10 = -b*z. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 818, 1374, 2300, 3596, 5262, 7298, 9704?\n\"Answer: 185*k**2 + k + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 579893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 647.52 + -671.52236. Let f = s - -24. Round f to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296487 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c - 3. Let s(l) = 4 - 3 - l - 5 + 3. Let k(f) = -n(f) + 6*s(f). Suppose 0 = -i - 3 + 10. Determine k(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 1. Let k be d(-4). Suppose 23 + 1 = 4*h. Suppose 4*m = h*m + 10. Which is the biggest value? (a) k (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:56 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k + 15. Let h be t(-9). Suppose -6*c - h = 2*c. Let m(a) = -a**3 - 3*a**2 + 7*a - 19. Let r be m(-5). Put 1\/8, c, r, 1\/6 in increasing order.\nAnswer: c, r, 1\/8, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28299 times 0.13?\nAnswer: -3678.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1302 at most -1310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/120 + f**5\/20 - f**4\/12 + f**3\/2 - 52*f**2. Let w be (-6)\/4*(-8)\/6. Suppose w*v = -2*v + 8. What is j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16707 + -16702. Let a(s) = 2*s - 14. Determine a(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1659714 divided by 1806\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11034160 or 11034159?\nAnswer: 11034160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -269.21 - -268. Let n = w + 0.91. Which is the third smallest value? (a) -1\/2 (b) n (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16330041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*24\/4 - 0. What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 48*s**2 + 70*s - 1224. Determine t(-46).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 51*g + 12*g + 13*g + 17*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29c0 - 27?\nAnswer: 2998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -557*l + 116. What is the units digit of g(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 57 = q, 0 = 4*q + 28*w - 45*w + 12*w - 57 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69\/(-69)*(75\/(-9))\/((-3)\/(-29790))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Let p = -5016 - -5013.9993. Let u = t + p. What is u rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77521 - -9?\nAnswer: -77513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 556852 and 41376?\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-24)\/(-6))*-14. Solve -11*r + a*r + 12 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2999*s**2 + 1495*s**2 + 1508*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 10. Let m be (-91)\/(-42) + 1\/k. Let q(n) = 2*n + 1. Determine q(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 5\/3 (b) -0.3 (c) 55 (d) 1 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and 555.\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 15, 17, 19, 21, 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t = 338 - 58 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2068 by 20540.\nAnswer: -517\/5135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7091 plus -7?\nAnswer: -7098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/(3\/(-2))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 12:10 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3648 + -1418677068\nAnswer: -1418677067.6352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 36*c**4 + 174225946*c - c**3 - 174225946*c - 3 to v*c**4 + t + a*c + n*c**2 + j*c**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/13, -29, -4.\nAnswer: -29, -5, -4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*120\/216)\/(-11 - 1).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2. Let n(c) be the first derivative of 36*c**2 - c - 183. What is d(n(v))?\nAnswer: -5184*v**2 + 144*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g + 4. Let n(l) = l. Let k(w) = h(w) + 5*n(w). Let a be (-2)\/4*(-2 - -2). What is k(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -44?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6418 + 6427. Which is the nearest to 0.1? (a) -17 (b) r (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*a**3 - 127*a**3 + 259*a**3 + 5 + 10 - 2*a**4 in the form k*a**3 + j*a**4 + z*a**2 + f + q*a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**3 + 4*v**2 + 24*v - 70. Let a be y(2). Solve 0 = -6*p + a*p + 140 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2)*y**(8\/7))\/(y\/(y*y**(1\/5))*y)**(-34) assuming y is positive.\nAnswer: y**(1879\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -82700163048.\nAnswer: -82700163051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.15 and -3.56?\nAnswer: 3.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -365*s**4 - 75706100*s**3 - 5234166959040*s**2 - 120626516136774960*s + 3304839987360720 = 0?\nAnswer: -69138, 2\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.5, 1\/8, 21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Solve 2*v + 4*h = 4, 0 = -v + 2*v - i*h + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*y - 15*y**4 + 16*y + (-1 + 2*y**3 + 1)*(-y + 6*y + 0*y) - 4*y**4 + 0*y**2 + 0*y**2 to j*y**2 + r + k*y**3 + v*y + s*y**4 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2141\/185 + -147\/37. Find the common denominator of (-94)\/(-10)*(-5)\/12 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 134 - 174 = -8*p, -10 = -2*p - 78*w + 76*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 7*o - o + 3 - o - 3 + (-o + 2*o + 0*o)*(-2 + 3 - 3))*(6 - 4 + 1) + 0*o + o - 3*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4 - 7 - 2*y + 5*y - 2. Let h(s) = 2*s - 5. Let g be h(4). Let w(z) = 7*z + g*z + 0 - 16. Determine -16*q(f) + 5*w(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 3*h - 3. Let q(m) = -4*m - 4. Give 4*a(k) - 3*q(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1100) + sqrt(1100) + 1 + sqrt(1100))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13261*q - 265234. Calculate a(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, x: 5, n: 8, d: 2}. Give prob of sequence bnn.\nAnswer: 112\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 208 = -2*g. Suppose -1612 = 22*p - g*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010111 + -1001101101?\nAnswer: -101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1890391 millilitres to litres.\nAnswer: 0.0001890391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56682 divided by -47?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m - 10. Suppose 111 = -2*s + m*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -571\/319275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/14 + (5 - 9).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2380162205?\nAnswer: 5, 19, 25054339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-4))\/((-2)\/4). Suppose 0 = -k - 8 + j. Let i be 4\/12 - 40\/k. Let d(t) = t**2 - 6*t - 3. Calculate d(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/5 (b) 58 (c) -2\/119 (d) -17.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/75475?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 17. Let g be n(11). Suppose -3*d - 12 = -g*d. Suppose 5*f + 3*m = 16, -f = f + 5*m + 5. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*d**2*z + 2*c*d*y*z - c*z - 251238*d**2*y*z - 2*d*y*z - 3*d*y - 33*y*z + 21*y wrt d?\nAnswer: -2*c*z - 502476*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212230121 - 1212?\nAnswer: 212222303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/6 - -2)\/((-14245)\/(-2037) + -7). What is the second biggest value in -2\/3, 5, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6876 - -6881. What is the biggest value in 57, z, -1.1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + 0*h - 43 + 9*h + 43 + (-3 - 3 + 4)*(3*h - 3*h - 2*h))*(-3 - 2 + 6).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 2*i**3 - 4*i**3 - 2*i**3 + 4*i + 10*i**3 in the form k*i**2 + d*i**3 + c + s*i and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) + (-24)\/252*-3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2226 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 5*a = -15. Solve -a*n + 0*n = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4292194779?\nAnswer: 3, 257, 68729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxrl. Give prob of picking 1 x and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 + 153*d**6 - 900*d**3 + 453*d**3 + 58*d**6 - 7*d**2 - 16*d + 450*d**3 wrt d?\nAnswer: 25320*d**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-52)\/(-20))*25. Let c(l) = -l. Let d(x) = -6*x. Let g(h) = w*c(h) - 2*d(h). Let j(s) be the first derivative of -3*s**2 - 9. Calculate g(j(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240946 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from mmmzmmmmzmzmmzzm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -247*o - 36. Let b(p) = 35*p - 9*p + 219*p + 37. Let i(f) = -5*a(f) - 6*b(f). Is i(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14*(-133)\/(-57).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + 8\/(-72)*-655. Let o = 899 - s. What are the prime factors of o?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q - 8*q + 3 + 15*q)*(1596*q**3 - 2348*q**3 + 1750*q**3 + 9030*q**3) as t*q + y*q**3 + j + f*q**4 + u*q**2 and give y.\nAnswer: 30084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4 and -43\/88674.\nAnswer: 177348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131181\/22 + 5967. What is the common denominator of 23\/20 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 3322?\nAnswer: 3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8467 is divided by 2250?\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 9*j**2 + j**2 - 7*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32757662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 3 (c) -0.3 (d) 36 (e) 2.3 (f) -7 (g) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -1. Let u(i) = i**2 - 3*i + 3. What is u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0.207, 1313, -0.4, 6 in descending order.\nAnswer: 1313, 6, 4, 0.207, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4. Suppose -2*q + 4*c + 4 = 2*q, 0 = q + 3*c - 9. Suppose -q*a + 64 = a. Calculate the lowest common multiple of o and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/26 - 38*y**3\/13 + 216*y**2\/13 - 424*y\/13 + 1334. Factor z(h).\nAnswer: 2*(h - 53)*(h - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/35 - 9\/(-7). Are 2.6 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11086951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Suppose -l - 5*w = -33, l + 41 = r*l + 5*w. Suppose -126 = -l*b + 5*b. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) + -2*sqrt(153) - sqrt(153)) - (sqrt(153) - 3*sqrt(153)*-4))\/(-2*(sqrt(1089) - -1*sqrt(1089)*-2 - sqrt(1089))).\nAnswer: -9*sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdl when three letters picked without replacement from {j: 3, c: 3, l: 5, d: 1}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 8*g + 14. Let v(z) = -z**3 - 22*z**2 - 25*z - 78. Let h be v(-21). Give y(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49451, -49833, -50209, -50579, -50943, -51301?\nAnswer: -51653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 11*q**2 - 4*q + 52. Determine z(10).\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 97?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5696384, 5696391, 5696398, 5696405, 5696412, 5696419?\n\"Answer: 7*s + 5696377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 696 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5e - 5?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*t + 90, 2*r = -t - t + 104. Let y = 46 - r. What is the remainder when (1428\/(-70))\/(y\/10) is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:14 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from ukiibnivknk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62\/385 + 12\/35. Let h(b) = b**3 - b**2 - 7*b + 6. Let k be h(3). Find q, given that -2\/11*q**k + 2\/11*q - f + 2\/11*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 34. Solve -4*n + z = -0*z + 16, 0 = -n + 2*z - o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)\/d**5)**(3\/34)*((d\/d**(-2\/3))\/(d\/d**(-2)))\/((d**(2\/5)*d)\/(((d*d\/d**(-2))\/d)\/d)) assuming d is positive.\nAnswer: d**(-457\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449852997940388 + 449852997940388 + 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 - 81. Let v = l - 174. Let r = -125.000121 - v. What is r rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1783*d - 3 + 3 + 902*d + 892*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 14*l**2 + 15*l + 2. Let v be o(15). Suppose -v*b - b = -15. Find the second derivative of 3*d**b - 6*d + 0*d - 4*d wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 970\/(-6305)*39\/48\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/6)\/(1\/(-136))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -531*n**2 - 6*n + 9. Give x(1).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/5 + 112*u**3\/5 + 1196*u**2\/5 - 10416*u\/5 + 17298\/5 = 0?\nAnswer: -31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd976 - -1?\nAnswer: dd977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2 + 3120290*a - 6240572 = 0?\nAnswer: 2, 1560143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 28\/(-8))*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16240401851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9110*h - 163926. Give c(-18).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 217398302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-10))\/(4\/(-10)). Let a(j) = j + 6*j**2 + 0 - j**3 - h*j - 4*j - 1. What is a(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b1b27 + 0?\nAnswer: 7b1b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 13 = 3*i, -3*w + 4*i - 25 = -6. Let j be (-2)\/(-5) + (-399)\/(-15). Let a = j + -12. Sort w, a, 1 in decreasing order.\nAnswer: a, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/(-1520))\/(6\/(-36))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*w - 948*w = -644 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/5 + (2 - 0) - -1. Let n(x) = -8*x - 1. Determine n(o).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.09723m in nanometers?\nAnswer: 50097230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + sqrt(208) + sqrt(208) + -1)*4.\nAnswer: -4 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 3 = -12*y. Suppose -10 = -y*n + 4*x, -2*n + 3*n + 5*x = -3. Solve 4*f = n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -397, -396, -395?\n\"Answer: a - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -818, -801, -784, -767, -750?\n\"Answer: 17*h - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/120 - 11*u**5\/30 + 11*u**4\/12 - 2*u**3 - 143*u**2. Calculate z(-23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - z - 1. Let h(n) = -36*n**2 - 14*n - 10. Let s(l) = -h(l) + 10*u(l). What is the second derivative of s(w) wrt w?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = -3*l + 4*l, -4*s = 4*l + 48. Let f = s - -13. Suppose 4*r + 224 = f*p, p + 178 = 4*p - 5*r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t, 7 = 4*c - 3*t + 1. Suppose c = g - 16 + 3. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/695475 and -53\/19?\nAnswer: 13214025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -26 - 2. Let o(w) = 7*w**2 - 11*w - 7. Is o(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 71985, 14, -3 in decreasing order.\nAnswer: 71985, 14, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1786*b - 46450. Give m(-26).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 + -8454?\nAnswer: -8453.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 3, 18, 6, -4 in descending order.\nAnswer: 18, 6, 5, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 - -76.5. What is the third smallest value in n, -1, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 10. Let v(x) = 2*x + 9. Determine 5*v(q) - 4*z(q).\nAnswer: -2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 1, p: 2, i: 4, s: 4, x: 1}. Give prob of sequence xil.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -14032 + 96296. Is -1 + l\/(-49) + 8\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7866 + -2.7866. Let v = -2 - -3. Let s be (-4*v)\/(2\/4). Is s at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*k = -21, -i - 4*i + 6 = 3*k. Suppose a = -4*a - 20. Let t be 52\/20 + a\/(-10). Is t <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*l**2 - 10*j**3 + 138*j**2*l**2 + 10*j**2*l - 3*j**2 wrt l.\nAnswer: -2*j**3 + 276*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - 12)*(-2)\/(-3). Solve 1 = i*p + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 710. Calculate the remainder when s(-110) is divided by 225.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 66*k - 71*k - 25, -4*k - 26 = -2*z. Which is the nearest to 1149? (a) z (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8412.\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = -23. Let m(k) = -8*k + 3*k**2 + 2*k**2 - 6*k**2. Let c be m(-8). Sort f, c, 1 in increasing order.\nAnswer: f, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 35*c. Let f be j(2). What is the highest common factor of 105 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 = 5*a + 2*r, 4*r = -3*a + 2. What is the second smallest value in -2\/9, 9, a, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 61*h = 63*h - 22, 61*g - 158 = 5*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0*u**3 - 1\/60*u**5 + 0*u - u**2 + 0 + 1\/40*u**6 + 0*u**4. What is the third derivative of m(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -d - 4, -5*s - 2*s + 1 = 20*d - 6*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j**2 + 2*j + 1. Is s(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -317, -306, -287, -260, -225?\n\"Answer: 4*c**2 - c - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332332889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -53*p + 680. Let a be k(29). Which is bigger: a or -858?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 104 = 662 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543435 is divided by 77533?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4161 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-160))\/(63\/(-14)). Let r(z) be the third derivative of -1\/3*z**3 - 3*z**2 + 0*z + 1\/8*z**4 + 0 - y*z**5. Give r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12035094 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*x - 3380 = -174*x + 89*x. Calculate the greatest common divisor of 416 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.1. Let l be 1*(4\/(-6) - -7) - 6. What is the third smallest value in l, -3\/10, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 1. Suppose -2*q = -4*m + 8, 4*q = n*m - 3*m - 4. Let o = -95 + 96. Which is the closest to o? (a) 0 (b) 3\/8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*x, -3*c + 3*x - 2*x + 10 = 0. Let k be c\/(18\/(-10) - -2). Suppose 0*i + 2*z - k = -i, 3*i + 5 = z. Solve a + 4*a = i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 + 21*l**2 - 10*l + 1. Let c be w(11). Which is greater: c or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - n**4 + 5 + 2*n**4 + 0*n**4 wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**2 - g - 3. Let n be l(1). Let s(d) be the second derivative of -1\/2*d**3 + 0 - 3\/2*d**2 + n*d. Find the first derivative of s(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - ((-3*sqrt(84) - sqrt(84)) + sqrt(84)))*-5)\/sqrt(12).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:53 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*l - 69*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*k + 159, 3*k - k = -4*p - 298. Let j = 163 + p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 1488695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.412830603 - 1.3.\nAnswer: -1.712830603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -969, -5, -4 in increasing order.\nAnswer: -969, -8, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5081 + -0.5081. Sort p, 5, 5.1 in decreasing order.\nAnswer: 5.1, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43.8 - -45.336. Round w to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3540454.47 to the nearest ten thousand.\nAnswer: -3540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:38 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51e0 + 0?\nAnswer: -51e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1536 - 28 = 4*h. Let a = h - -661. Round a to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 169 = 29. Suppose 0 = -j*k + 11*k + 9. Suppose 4*h + k = -7, -3*i = -h - 29. Solve 3*r + 5*s = 8 + i, 3*s - 8 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34313115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 4. Give o(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.7 - 8.1. What is x rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*(i**(-3\/17)\/i)\/i)*i*i*i*i**(-35) assuming i is positive.\nAnswer: i**(-507\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from qvurqvvvvqtutqttut.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17714 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 1702 - 1718 + 3419.\nAnswer: -2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((11 - 20) + 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 10*j - 1. What is c(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 229*r**2 - 111*r - 348. Calculate z(114).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/(-3) - 1\/(-3). Solve 5*w + 5 = 5*s, 3*w = -s + g*w - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 13, 95, -1, -2, 3 in ascending order.\nAnswer: -7, -5, -2, -1, 3, 13, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736.4297 milliseconds in minutes?\nAnswer: 0.028940495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318534 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + 34. What is the highest common divisor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21930, -21995, -22100, -22245, -22430, -22655, -22920?\n\"Answer: -20*g**2 - 5*g - 21905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172778*g**3 + 691092*g**3 - 172782*g**3 - 172760*g**3 - 172775*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 + -3. Let m = 249\/506 - -2\/253. Are m and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmdhwmhhmmmhwhmhhh. Give prob of picking 1 m, 1 w, and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110221110021 - 2122?\nAnswer: 2110221100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 786213 divided by 21249?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 3*y + 16. Determine g(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 2, v: 4, l: 1, y: 3}. Give prob of sequence pyvv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202126657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -32) + (-62 - (31 + -126)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 - 176 = 9*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -11, -28, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/54)\/((-532)\/(-342))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100 - 112002?\nAnswer: -110302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a = -16 - 38, 2*h = 8*h + a + 147 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.02 - -76. Let f = -0.02 - y. Let p = -1 + f. Is p at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c = 83 - 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045694 to the power of 1\/2, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1192262397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 254023 (base 6) to base 13\nAnswer: a575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w + 2. Let s(v) = 15*v - 2*v + 72 - 39 - 33. Give r(s(m)).\nAnswer: 52*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260012979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 74652.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 4. Let f(d) = -2*d - 3. Let y(q) = -q**2 - 6*q + 4. Let i be y(-6). Let s(o) = i*f(o) - 3*j(o). Let u(r) = -69*r. Give u(s(k)).\nAnswer: 138*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156 + 305. Let a = g + -60. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 6421976.\nAnswer: 6421973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*((-3*sqrt(363) - (2 + sqrt(192))) + 5)*-1 + 0)**2.\nAnswer: -15744*sqrt(3) + 323328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10719.5683 + 0.205968.\nAnswer: 10719.774268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -15*k**3 + 105447520*k**2 - 185319376708800*k - 988373008512000 = 0.\nAnswer: -16\/3, 3514920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i + 2451 = -5*o, 1962 = -4*o - 2*i. Let j = 615 + o. Calculate the greatest common factor of j and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**4 - 2*v**3 - 3*v**2 + 3. Let j(c) = -c + 14. Let h be j(13). Let m(y) = -y**2 - 1. Let q(d) = h*f(d) + 3*m(d). Factor q(o).\nAnswer: 2*o**2*(o + 1)*(2*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 666? (a) 0.3 (b) 4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 25.9. Let u = -2.7 - -30.7. Let o = -34 + u. Which is bigger: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5 - 708*p**4 + 41055*p**3 + 84966*p**2 = 0. Calculate p.\nAnswer: -2, 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 87?\nAnswer: -5\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -442 - 35?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - -10 - -6 - -16. Solve 5*q + 4*s = 5*s - j, 5*s = 3*q + 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 - 28*m + 28. Give i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 12 - -1 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -514, -1028, -1542, -2056, -2570?\nAnswer: -3084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 178953 divided by -39\nAnswer: -59651\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 + 46*x**2 - 9*x + 11. Give i(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -15*n + 2. Let g(x) = -x + 1. Let l(u) = -6*g(u) + 3*w(u). Let t(p) = -3*p + 5. Let s(y) = -2*y + 4. Let f(d) = 5*s(d) - 4*t(d). Determine f(l(k)).\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3966 - -7.3966. Let f = 0.8 + -0.3. Which is the closest to -3? (a) 1\/5 (b) f (c) -1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90.94 - -91. What is the closest to 0.1 in h, 2\/7, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4535655930 + -2711282625. Let j = a + 7246938491.99999962. Let z = -63 - j. Round z to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - (sqrt(76)*4)\/sqrt(2)) + sqrt(38))\/sqrt(162).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -4 + 21 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-21))\/(4\/96) - 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**2 - 10*a + 9. Let y(b) be the first derivative of b**3\/3 - 5. Determine x(y(v)).\nAnswer: -2*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 733185 (base 14) to base 15\nAnswer: 51c276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -1102?\nAnswer: -3\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 + 10*k**3 - 79*k + 37*k + 42*k.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 - b**3 + 945*b - 4*b**2 - 1877*b + 3 + 937*b. Give g(-7).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8570142 and 28?\nAnswer: 17140284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, h: 3, c: 2}. Give prob of picking 2 m and 1 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = -0*b. Let z be (1\/b - 0)*12. Let i(t) = 8*t + 2. What is the tens digit of i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 462950, 4, -3, 2, 5, 0 in decreasing order.\nAnswer: 462950, 5, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 * -13280.\nAnswer: 23904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -124. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68604?\nAnswer: 2, 3, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -18*v**3 + 3*v + 9. Give h(3).\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.178110568 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 3 = j. What is the remainder when j is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 56\/(-32)*4. Suppose j - 5 = -3. Find k, given that -6\/7*k**j - 2\/7 + 6\/7*k + 2\/7*k**g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 12*o**2 + 28*o + 18. Let f(w) = w**3 - 4*w**2 - 2*w + 1. Let r be f(3). Let u be q(r). Calculate the highest common factor of u and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**3*l**2 + 233*f**3*l - f**2 + 21*f*l**2 - 2*f*l - l**2 + 1 wrt f.\nAnswer: -36*f*l**2 + 1398*f*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -174, -388, -700, -1116?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14125160?\nAnswer: 2, 5, 7, 61, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 28 + 2 + 10)*(30 - 1 + 11)*(m - m + 2*m).\nAnswer: 6960*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*b - 4*x - 2, 4*b + 12 = 2*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138930 and 37890.\nAnswer: 416790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -13147?\nAnswer: -13142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 128 = -4*s, 4*s + v = 63 + 49. Suppose -6 - s = -5*c. Suppose -c = 4*t - 243. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 6*c**2 - 184*c + 6. Determine b(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1, 1, -3, -7 in decreasing order.\nAnswer: 6, 4, 1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}