diff --git "a/data/dm_maths/full_data/7636_11255.jsonl" "b/data/dm_maths/full_data/7636_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/7636_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -278601*q**2 - 2712*q - 4.\nAnswer: -557202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:43 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1122112101220 (base 3) to base 14\nAnswer: 18b62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -67300 to the nearest 1000.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 33228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -7*c + 6*i + 1, 5*c = -5*i - 25 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -772*o**2 - 10959*o - 2106. Determine m(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4697.033nm to millimeters.\nAnswer: 0.004697033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2\/2 + 2873535*r\/2 + 66086015 = 0. Calculate r.\nAnswer: -574661, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 22*y - 12. Determine s(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285844 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 8*x**2. Let w be i(8). Let j(n) = -n + 8. What is the units digit of j(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(2*sqrt(2)) + 5*(sqrt(3) + sqrt(9)\/sqrt(3)) + (sqrt(15)\/sqrt(80) - (sqrt(3) - (1*sqrt(75) - sqrt(3)))))**2*2.\nAnswer: 9075\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10 - 3*s**2 - 2*s**3 + 9*s - 3*s**2 + s**3. Let o be y(-7). What is the units digit of 22\/6 + o\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose 3*w + 22 = 2*b - w, w + 4 = s. Let v = b + 0. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/56)\/((-3)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 16*j**2 - 14*j**2 - 2*j**2.\nAnswer: -37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 - 3*f - 3. Let h be n(-2). Let r(b) be the second derivative of 2*b + 1\/6*b**3 + 0 - h*b**2. Determine r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-2)*90\/63. Suppose -l = -d*x + 4, 0 = x - 5*x - 2*l - 8. Solve 4*i - 3 = -5*h + 17, -2*i = x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 + 1 + 45 + -37).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -7*i**4\/6 - 17*i**3\/6 - 9*i. Find the second derivative of q(v) wrt v.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12176.8 and -2?\nAnswer: -24353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32156908 divided by 253204\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(6)\/sqrt(3)*-1)**2.\nAnswer: -66 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(44)\/sqrt(4))**2 + 1 - (sqrt(11) - (sqrt(11)*-1*-2)**2) - -4*((-2 + sqrt(891))**2 - sqrt(11))).\nAnswer: -7272 + 298*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:11 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141286 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2. Let c(x) = -x + 1. Let p(y) = 8*y - 4. Let o(v) = 6*c(v) + p(v). Suppose 0 = -0*m + 2*m + 4. Let t(z) = m*k(z) + o(z). Give t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let r be ((-2)\/6)\/(c\/(-21)). Let y(v) = -v**2 - 10*v - 10. Calculate the remainder when 20 is divided by y(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*l + 11, -2*l - 5*p - 19 = -32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30091, -30100, -30145, -30244, -30415?\nAnswer: -30676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(63)*2)\/sqrt(9) + -4)**2 - ((2*sqrt(252))\/sqrt(4))\/(2*sqrt(81)).\nAnswer: -61*sqrt(7)\/3 + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2919 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 * 77826.\nAnswer: 6303906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - (3 - (3 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 2*f**2 - 4 - 7*f + 23*f. Let h = -26 + 16. Let a(u) = -u**2 - 5*u + 1. Let b = -5 - -2. Give b*r(i) + h*a(i).\nAnswer: -2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -3*n + 0 - 8\/3*n**3 - 1\/2*n**2. Is x(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 52139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-12\/11))\/(k**(-2\/7)\/k*k))**(10\/3) assuming k is positive.\nAnswer: k**(610\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*h**2 - 3*h + 6*h - 3*h in the form q + p*h**2 + b*h and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g - 1. Let p be h(0). Let d be p + 5 + (0 - 1). Suppose -2*w + 8*w = 30. Solve -w*r + d*z = 8*z + 25, 3*r - z = -3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*q - 131401 - 37925. What are the prime factors of q?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 10010100001100001111?\nAnswer: 10010100001100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24908041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f - 26. Let k(o) = -3*o + 44. Let v be k(19). What is the units digit of l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -14. What is the second derivative of 3*u**5 + u - u - h*u - u wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10437521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9750 is divided by 1619.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.668 + -2.332. Which is the fifth smallest value? (a) 3 (b) j (c) 2\/7 (d) -0.7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27199*k**3*n - 209330*k**3 with respect to n.\nAnswer: 27199*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 59.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 5*w + 6. Let a be r(-6). Suppose a = -2*n - 5*q + 7*q + 8, -n - 4*q = 16. Sort 1, 0.5, n in descending order.\nAnswer: 1, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2044, -4615, -7186, -9757?\n\"Answer: -2571*z + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1216.964 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*q**2*y + 4*q**2 + 2*q*y + 7*y + 6 wrt q.\nAnswer: 20*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*v + 1557436 = 1570549 for v.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.029 - 72.971. Let m = k - -112. Let q = m - 39.000074. What is q rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1002.732 weeks?\nAnswer: 10107538.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 38 (b) -3 (c) -4 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.87 + 2.47. What is the closest to -0.3 in g, -4, -6, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2087 >= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 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 t be ((-1)\/((-3)\/(-15)))\/(-1). Solve 14 = -z + 5*z + t*f, 5*z + 3 = 4*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119.7 + 120. What is the second biggest value in -4, 1\/3, 5, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7339 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 78*m + 57*m - 1 - 95*m to y + t*m and give t.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 6*d. Let z(r) = -4*r**2. Determine z(g(q)).\nAnswer: -16*q**4 - 96*q**3 - 144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*t + 18 = 0, 0 = -3*x + 7*x - 3*t + 23. Let c = -6 - -7. Put c, x, 2 in increasing order.\nAnswer: x, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/40 - 11*q**4\/12 + 5*q**2\/2 - 22*q. Let f(w) be the third derivative of k(w). Let c(z) = z + 2. Give -4*c(j) + 3*f(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/45 and 65\/138?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = 0, -4*p - 3*q + 762 = -44. Suppose -g = -3*g + p. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -382.9461181965.\nAnswer: -383.4461181965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 5*j**2 - j + 7. Let t be h(5). What is the tens digit of t\/6 - 420\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + c - c)*(-189*c**2 - 357*c**2 + 398*c**2) - c**3 + 2*c**3 - 8*c**3 as v + n*c**3 + i*c**2 + y*c and give n.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/20)\/(292\/730)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -541091, -541098, -541117, -541154, -541215?\n\"Answer: -z**3 - 541090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 70*a**3 - 65*a**2.\nAnswer: -5*a**2*(a - 13)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + i - 1904 = 0, -4*m + 4223 = -3*i + 1654. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 1, e: 1, o: 2, v: 1, j: 1}. What is prob of picking 1 o, 1 e, 1 v, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/7)\/(-7 + 5). Which is the third biggest value? (a) m (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48 + -40 + 9\/(-12)*10. Let x(k) = 2*k - 2. Let h be x(3). Let o = h + -3. Which is the third smallest value? (a) q (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 1. Let c = 11 - 7. Solve -4 = c*t + l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 240 + 249 + 2*w - 489. Let u(h) = 9*h**2. Determine p(u(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -18. Suppose 4*i - 16 = v. Suppose -6*w + i*w = 20. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395721589.\nAnswer: 395721589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/25)\/(4\/(-60))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y - 154 = -49*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*r + 82, 4 = -0*j + j - 3*r. Suppose 2*w + 9 + j = 0. List the prime factors of w*(-3 + (-1 - 14\/4)).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2103 - 4a910?\nAnswer: -48808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 - 2 - 2 + 2 + (1 + 0 + 1)*(-3 - 1 + 7))*(406 + 28*f - 406).\nAnswer: 56*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125983020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 3956?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 + -175. Let i = -16 + d. Sort -5, 1\/2, i in ascending order.\nAnswer: -5, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 19*o**2 + 50*o - 19*o - 16*o + 16*o**2 - 13*o + 46. What is the hundreds digit of d(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/19)\/d*d)\/d**(-8)*(d*d**(-2))**(1\/3) assuming d is positive.\nAnswer: d**(431\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/10)\/(6\/36) - -1. Sort f, -8, -6.\nAnswer: -8, -6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(76)\/sqrt(16)).\nAnswer: -8 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from mevmvvvvvmemvdvp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*m + 12. Let o = m + -4. Let r = -6968 + 6967.8. Sort r, -5, 2\/13, o in ascending order.\nAnswer: -5, r, 2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1637.56*1\nAnswer: -1637.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {d: 2, f: 2, n: 1, y: 2, v: 1, j: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {h: 2, e: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -11100?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -3*m - 5*f - 7, 6*m = 2*f - 26. Sort -74, 5, m, 4 in descending order.\nAnswer: 5, 4, m, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -19*u**4\/12 - 9*u**2\/2 + u. Let d(b) = 9*b**2 + 4. Suppose -a + 2*a - 39 + 59 = 6*a. Calculate a*f(z) + 9*d(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 4*x**2 - 3*x + 3. Suppose -4*r = 3*d - 1 + 22, -4*d - 24 = 4*r. Let y be a(d). Let s = -1.6 - -2. Sort y, s, -0.5.\nAnswer: -0.5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) 1.1 (b) 0.025 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2328*i**3 + 2346*i**3 + 326 + 2330*i**3 - 7003*i**3.\nAnswer: i**3 + 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z - 25. Suppose -3*j = -z*m - 442, -125 - 411 = -4*j - 4*m. Suppose j = 5*x + 19. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - 26*d**2 + 18*d + 4. Determine m(-14).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 5. Calculate the remainder when 14 is divided by y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6061071550 rounded to the nearest 1000000?\nAnswer: -6061000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10*p - 21. Let y(s) = 3*s + 7. Suppose -31 = o - 5*n - 8, 3*o - n = 1. Let x(z) = o*r(z) + 7*y(z). Let v(j) = -1. Determine -6*v(i) - x(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -74 (c) 2 (d) -0.8 (e) -1\/12 (f) 9 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24421?\nAnswer: 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000588038 to 7 decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (10 + -9)) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + 2 + (-1 - (9 - (-14 - 9)))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g + 16*g - 39*g + 23*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*((sqrt(459) + sqrt(51))\/sqrt(3) + (sqrt(17) - (sqrt(17) + sqrt(34)\/sqrt(2) + 1))) - (sqrt(187)\/sqrt(11) + 0)*1*-2))**2.\nAnswer: -224*sqrt(17) + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -18660*i + 1436857. What is a(77)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b + 30*b + 4*b**2 - 14*b in the form d*b + u*b**2 + q and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let g(a) = 9*a**2 + 4*a - 2. Let i(j) = -g(j) - 4*z(j). Let x(r) = -4*r**2 + 1. Determine 6*i(w) - 14*x(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20716 divided by 18?\nAnswer: -10358\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203 and 145?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -23.6. Sort -1\/9, b, 3\/5 in descending order.\nAnswer: 3\/5, -1\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 - 3*h**3 - 20*h**3)*(2 + 2*h - 2) + 5*h - 5*h + h**4.\nAnswer: -53*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/(-1)*1\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 503 and 10?\nAnswer: 5030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/3 + 111361*b**2\/3 + 445432*b\/3 + 148476 = 0. What is b?\nAnswer: -111357, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 11. Suppose -t + h = 2. Let d(u) = 5*u - 6. Let k be d(4). Solve k - 2 = -t*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -197.\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u - 125. Let v be h(13). What is the smallest value in -0.4, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 51*u**3 - 89*u**2 - 7*u - 20. Let g be b(2). Let -72\/5*r - 4 - g*r**3 - 11\/5*r**4 + 193\/5*r**2 = 0. Calculate r.\nAnswer: -10, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 431.2 - 431. Let s = -0.34 + 4.34. Which is the biggest value? (a) s (b) t (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11642 + -4*(-8)\/(-16)*-2 + -3 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3656*f**5 - 78*f**2 - 11*f + 8 + 8*f - 1570*f**3 + 1570*f**3 wrt f.\nAnswer: 219360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32056\/33 - -2903\/3. Let d = -1459594348 - -9361838181205\/6414. Let o = d - -1\/1069. Calculate the common denominator of o and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 9:29 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + 2 + -11 + 828. Let c = f + -755. What is the remainder when c is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132469455 divided by 15?\nAnswer: 8831297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, r: 4, a: 5}. Give prob of sequence rrzr.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 123231.2693 to the nearest 1000.\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5785 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*z**2\/7 - 554*z\/7 + 46\/7.\nAnswer: 2*(z - 23)*(12*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 57, 101, 181, 309?\n\"Answer: 2*v**3 + 6*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6 and -49\/82.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0\/(-1))*(10 + -10). Suppose y = -9*h - 74 + 407. What is the remainder when 146 is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.1 and -0.78.\nAnswer: 21.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270.95 - 271. Put k, 0.2, 1, -2\/9 in decreasing order.\nAnswer: 1, 0.2, k, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -5. Let c be ((-24)\/10)\/(1 + 20\/(-25)). Let g be 84\/(-18)*c\/14. Sort g, f, 31 in decreasing order.\nAnswer: 31, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3344, 6689, 10034?\n\"Answer: 3345*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 12 = -m, -5*m - 4 = -p. Let n be -2*3\/(-42) - (-9)\/((-693)\/(-220)). Solve m - 3 = n*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -105*w**3 + 699*w**2 - 705*w**2 + 112*w**3 - 6 - 11*w. Let z(a) = -15*a**3 + 13*a**2 + 23*a + 13. Give 13*x(q) + 6*z(q).\nAnswer: q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4837 is divided by 2403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62080574 to the nearest integer?\nAnswer: 7879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 2*j + 228 = 0. Find the third derivative of 30*l**2 + 41 - j - 22 + 3*l**5 wrt l.\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 29 = -25. What is the closest to l in -1, -4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4352)\/(-168)*9\/(-78). Let y = -11\/13 - n. Factor 0 - y*x**2 - 3\/7*x**4 + 6\/7*x + 12\/7*x**3.\nAnswer: -3*x*(x - 2)*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4662 + 2332 - 17*g + 2*g**3 + 2334 to p + r*g**3 + u*g + h*g**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 92*r**7\/15 + r**4\/12 + 4828*r**3\/3 - 34*r**2 + 31. Differentiate g(h) wrt h.\nAnswer: 5152*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.42 - 0.08. Let r = 0.475 + w. Round r to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -27. Is (h + -2)*(-10)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*p + 6, -3*m + 6*p = 2*p + 10. Suppose 0 = 2*c + 4*t, -2*c + 12 = 2*c + m*t. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p - 3*c + 594, 3*c - 1000 = -5*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 267 and 1157.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 7*d**2 + 2. Let w be p(7). Find l such that -8\/3*l**w - 2*l + 2\/3 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383.4 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -77*c**6\/5 + 731*c**3\/6 + 248*c**2 + 2*c. What is the first derivative of r(j) wrt j?\nAnswer: -5544*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 19 (c) 2\/15 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**3\/6 + g + 25. Let w(o) = 77*o**2. What is w(b(y))?\nAnswer: 77*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16482107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -21. Sort 8, q, 1 in decreasing order.\nAnswer: 8, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11225764 take away 0.05?\nAnswer: -11225764.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 11*q + 3*q)*(4*q**4 - 5*q**4 - q**4) + 0*q**5 - 4*q**5 + 2*q**5.\nAnswer: -26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose -v + l = -2. Solve -i + 12 = 5*p, 6*p - 21 = 3*p + v*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -49, -1549?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63026172.17 - 63026209.58927539. Let m = b + 35.419275. Let a = m + 2. Round a to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70562 divided by -2?\nAnswer: -35281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + 1 + -2*sqrt(192) + sqrt(192)))**2 + (-4 + (2*(sqrt(192) - sqrt(192)*-1) - (sqrt(192) - (-5 + -1 + sqrt(192)) - sqrt(192))))**2.\nAnswer: -656*sqrt(3) + 6637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-6))\/d*d*d*d)**(-4\/11) assuming d is positive.\nAnswer: d**(-36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let g = 27 - 14. Let w = g - p. What is the greatest common divisor of 30 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10201 (base 4) to base 15.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2275 divided by 175?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 97 = -3*l, 4*l = 3*l - 2*d + 37. Suppose -4*w = l + 51. Is -21 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1179 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.1. Let s = 7 - 4. Let x = -7\/90 - 1\/18. Which is the nearest to u? (a) -4 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = -18*k + 27108. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129947*d**3*w - 131*d**2*w + 554*w wrt d?\nAnswer: -779682*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11744805?\nAnswer: 3, 5, 43, 131, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109823261*b**3*r**3 + 194*b**3*r + 122*b**2*r**2 + 2*b**2 + b*r + 3*r**2 wrt r?\nAnswer: 658939566*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3*g + 4. Let p be l(4). Suppose -2*q - d - 2*d + 11 = 0, -3*d + p = -q. Let m be 5\/7 + 0 - 1. What is the third biggest value in 4\/3, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*u = -1015628, -5*x + 3481999 = -4*u + 942932. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6380 and 1044?\nAnswer: 57420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 - b**3 + 13*b**3 - 3*b**3.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 948764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -34*s + 14145. Calculate the highest common factor of 46 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 220120001000?\nAnswer: -220120001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 + 337. Let v = x - 133.7. Which is the nearest to v? (a) 0.4 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, 91, 108, 151, 232?\n\"Answer: 2*x**3 - 5*x**2 + 4*x + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55708 divided by -3.\nAnswer: 55708\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164965651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 2*s**2 - 6*s + 3. Let b be g(-3). Let f be (-9)\/b - (-6)\/12. What is the third biggest value in 0.1, f, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1002570.3 and -0.1.\nAnswer: 100257.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 19*d - 48. Let f be g(-3). Suppose f = 3*z - 4*y + 1, 4 = -2*y. Sort -1\/8, z, 0.2, 5.\nAnswer: z, -1\/8, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 4. Let t be m(11). Suppose 0 = -5*k - t, 3*a = a - k + 1. Suppose -a*q + 254 = -j, -4*j + q - 574 = 449. What is j rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or 7636426?\nAnswer: 7636426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 23\/3, 0.239 in increasing order.\nAnswer: 0.239, 0.5, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.046, 0.3, 0, -0.1 in increasing order.\nAnswer: -0.1, 0, 0.046, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 2, k: 2}. Give prob of picking 1 p and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3 - 5608367*r**2 + 7863447905855*r - 7863442297489 = 0 for r.\nAnswer: 1, 2804183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**3 - 1415*g**2 + 6603*g - 9. Let x(j) = -3*j**3 + 355*j**2 - 1651*j + 2. Let c(s) = 2*m(s) + 9*x(s). Find the second derivative of c(f) wrt f.\nAnswer: -6*f + 730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78161 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2520*b**2 - 2*b + 11. Let n(m) = -2*m**2. Calculate g(n(k)).\nAnswer: 10080*k**4 + 4*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 8396 = -2*g + 42*u, -2*g = 3*u - 8396. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = -9208*w + 9219*w. Calculate the highest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1299068 and -2051?\nAnswer: 1297017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 = y, -y + 2*s = y - 12. Suppose 19*j + 310 - 994 = 0. Calculate the remainder when j is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555020 at most as big as 7555003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 44 = -3*q, 330*q - 16 = 4*u + 332*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**4\/3 + m**2\/2 + 93*m. What is x(-4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 304137054 a multiple of 4957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c + 3. Determine a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209673351 and 402?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*s = -2*s + 7, -1 = -3*g + 5*s. Let h be (-2)\/4*(-2 - 0). Let z = h + -4. Is z smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111 + -3?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008505 to seven decimal places.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 5*a + 2*a + 4 - 4 + (1 + 0 + 0)*(0*a + a + a) + 1 - 2*a - 1 - 4*a + a + 10*a to the form c*a + l and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - (-6 - -67) - -31.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109.45932 - -109.69. Round y to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 321\nAnswer: -5\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 7:25 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 8:58 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*j + 5 = -52, -21 = u - 4*j. Let n be u\/(-6)*(-4)\/(-3). What is the least common multiple of 1 and 216\/22 + n\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3759 and 4965.\nAnswer: 6221145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*m + t - 133 = 281*m - 147*m, -4*m - 3*t + 102 = 0 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2533153 - 54?\nAnswer: 2533055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 4, t: 10}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.057 - 29.057. Let q = -18 - h. Let a = 16 - q. What is the second biggest value in 6\/7, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 9*c - 13*c. Let a = -11 + c. Is (a - (-7)\/2)*46 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2963274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 14 = -0*d + y, -3*y + 54 = 4*d. Suppose 4*i = -0*i + d. Factor 0 - 3*q - i*q**3 + 2*q**3 + 3*q**2 + 1.\nAnswer: -(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3\/396*3). Let a = v - 22. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 - 1722 = -302*u. Let -2\/3*r**2 + 10\/3*r**u + 0 + 2\/3*r**4 - 10\/3*r = 0. Calculate r.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 9*w - 123. Suppose 4*l = -4, -5*s + 6*l = 3*l - 13. Suppose s*y - 7 = w. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.204089 millilitres in litres?\nAnswer: 0.008204089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1 + 3*z**3 + z - 4*z**2 + 4*z**3 - 6*z**3. Let n(o) = -3*o - 1. Let g be n(-1). Determine y(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 778 - 8*w + 7*w - 2*w - w + 3*w. Let b(c) = -2*c. Calculate x(b(g)).\nAnswer: 2*g + 778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -11 + 3. Suppose -t - 3*o + 0*o = 3, 0 = x*t + 4*o - 4. Let r = t - -16. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455099 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/14)\/t**(-1\/6))\/(t**(1\/13))**(-11) assuming t is positive.\nAnswer: t**(257\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/71 (b) 3\/5 (c) -1531.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-304) - 846\/13536.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -0.66, -15, 4 in decreasing order.\nAnswer: 63, 4, -0.66, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3835302, 3835257, 3835212, 3835167?\n\"Answer: -45*n + 3835347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 558574.53 to the nearest one hundred.\nAnswer: 558600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elllrrqql. Give prob of sequence lre.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b - 1. Suppose 7*z - 4*z = 9, 0 = -5*l - 5*z + 10. Let v(u) = 1. Let g(s) = l*v(s) - o(s). Find the second derivative of g(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(2\/25)*r\/r**(-15\/7) assuming r is positive.\nAnswer: r**(711\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5 = -w, 7*w - 12*w = 4*h - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.25+-113957\nAnswer: -113957.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 0 - (-81 - -75)) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-12) + -2 + 8. Let b be 4\/((-4)\/(-2)) - -16. Solve -5*h = -d - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**3 - 5*i**2 - 65*i + 66. Determine b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 17*n**2 - 19*n - 23. Let x be -6*((-8)\/(-32))\/((-2)\/20). Let i be q(x). Let t = i - 84. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*((-10)\/4)\/(-5). Let n(s) = s**3 - 2*s**2 - 3*s + 4. Let k be n(3). Suppose -2*f + 2*r = 0, 0 = -3*f - k*r + 9 + 19. Solve -1 = h*o - f*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -2\/109 (c) -0.1 (d) 2\/17 (e) 1\/7 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -96. Let f = -49 - z. Is f less than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8523, -17144, -25769, -34398, -43031?\nAnswer: -51668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 19 - 1039*h - 66 + 24 as k + a*h and give a.\nAnswer: -1039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**6*u**2 - 303*r**3*u**2 - 43*r**2*u**2 - 46*r**2 wrt r.\nAnswer: 360*r**3*u**2 - 1818*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 2*h**2 + 4*h. Let c be m(-3). Let i(s) = -584*s**2 + 2359*s**2 - 591*s**2 - 596*s**2 - 589*s**2. Give i(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-8))\/((-2)\/(-4)). Suppose 0 = -f*c + 56 + 58. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2223966.\nAnswer: 2, 3, 370661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 5*d + 1. Let a be u(5). Let c be (-1)\/4 - 11\/4. Let l = a - c. Calculate the remainder when 11 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6711228 or 6711227?\nAnswer: 6711228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10538602?\nAnswer: 2, 163, 32327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooouu. Give prob of sequence uu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/3 + 128*t**3\/9 + 494*t**2\/3 - 306. Solve n(h) = 0.\nAnswer: -19, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*l - 41. Calculate the remainder when 35 is divided by l\/7*(3 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 510?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:02 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 980766, 980768, 980770, 980772, 980774?\nAnswer: 980776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(9114\/(-189)))\/((-21)\/(-14))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.031 in 4, -56, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*p - 13, 126*p = 123*p + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 2:04 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m + 18. Let t be b(-4). Let d be (t\/(-5))\/((-30)\/(-225)). Let z(c) = -c**3 + 10*c**2 - 7*c + 6. Calculate z(d).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 166764\/(-42) + 6\/(-14). Let k = -1578 - r. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33a5 - 9?\nAnswer: 3399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1788*s + 85. Is d(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47626, -95335, -143056, -190789, -238534?\n\"Answer: -6*u**2 - 47691*u + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2905, 2913, 2919, 2923, 2925?\nAnswer: 2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, -0.2, -29\/3, -131?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156554, -5, -3, -2\/15, -0.4 in ascending order.\nAnswer: -5, -3, -0.4, -2\/15, 156554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, y: 2, e: 2, z: 1, d: 2, f: 1}. What is prob of sequence zdy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 12*z**5 + 118*z**4 - 152*z**3 + 22*z**2 = 0.\nAnswer: -11, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83 - 144314890.\nAnswer: -144314807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 plus 3306?\nAnswer: 3305.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.063 in 1, 0.36, 0.01, 20?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -5 (b) -1.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8723.146 micrograms to tonnes.\nAnswer: 0.000000008723146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x = -260. Let k(g) = -4*g + 37. Let s be k(6). Calculate the greatest common divisor of x and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)\/h)\/(h*h*h**28) assuming h is positive.\nAnswer: h**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejqqose. What is prob of picking 1 s and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(833) + sqrt(833) - sqrt(833))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glg when three letters picked without replacement from lllgllllllllggll.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 3*h + 11. Calculate the remainder when 2\/(-6) - 996\/(-18) is divided by g(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2757925.93 to the nearest one hundred.\nAnswer: -2757900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7531184 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.1, 2, 5, 0.039, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**2 + 7*u + 7. Let w = 150 - 151. What is the remainder when (-9)\/3 - -34 - -1 is divided by t(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3963170.\nAnswer: 2, 5, 61, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 581 + -288. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(432))**2 - (sqrt(27) + 0).\nAnswer: 21*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 252200705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8788 + -8779 - (77 + 0)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + j = 1123, j - 2564 = -4*s + 1916. Round s to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6195083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000702517 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 23*w - 27. List the prime factors of h(-26).\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 10 + (-4 - -10 - -4) + -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*o = 112, 2*o - 124 = -3*s - 20. Suppose 8*z - 9*z + s = 0. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5 + sqrt(2736))*-1)**2.\nAnswer: -13805 - 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**2 - 12*u**4 + 5*u**4 - 24*u**3 + 10*u**4 + 18*u**2 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/23)\/o**(-7))\/((o*o*o**0*o)\/(o\/(o\/o**9))) assuming o is positive.\nAnswer: o**(297\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5329 - 2663 - 2674 + l**2 + 16*l)*(-11*l + 11*l + 51*l + 2) in the form d + s*l**2 + u*l**3 + h*l and give h.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, -25, -6, -369?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - g - 10. Suppose 21 = 3*b - g*b. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -6, 0.2, -283\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 396\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) - 39\/(-112). Let q be (1\/360)\/((-96)\/(-17520)). Let d = k - q. Is d greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 5*j**4 + 2*j)*(-3 - 1 + 3) + 3*j - 3*j - j**4.\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 24*j**2 + 51*j - 23. Let q be u(-26). Find i, given that 53*i**3 + 49*i**q - i**2 - 101*i**3 + 4 - 2*i**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5085 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 2*k = -30. What is the tens digit of -3 - (k - -4) - -37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8\/((14\/(-2))\/1).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2293, 18848, 63973, 151954, 297077, 513628, 815893?\n\"Answer: 2381*f**3 - f**2 - 109*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**5 + 19*d**4\/2 + 6*d**3 - 2*d**2 = 0. What is d?\nAnswer: -2\/3, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(24)\/sqrt(8)*3))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 68 + 35 + 2*t**2 + 39*t as q + r*t + p*t**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2361 + 5*k**2 - 3*k - 9*k + 2419 wrt k.\nAnswer: 10*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (2 + (-24)\/14). Let i = -3 + 3.01. Let y = 0.41 - i. Which is the second biggest value? (a) y (b) 1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*i - 1 + 2 + 3 - 5*i wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13676638693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 4 = -33*k. Let l(w) = -399*w + 13. What is the units digit of l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -8\/5*r**4 + 112\/5*r**2 + 92\/5*r**3 - 4\/5*r**5 - 448\/5*r + 256\/5 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 smaller than -3302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 11:53 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) + (sqrt(66) - (sqrt(66) + -5*2*sqrt(66))))*-6)\/((sqrt(60) - (sqrt(60) - sqrt(360)\/sqrt(6)))\/sqrt(10) - (sqrt(6) - sqrt(864))).\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 + 2.8. What is the nearest to w in -3, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15068 from 30.045.\nAnswer: 30.19568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 5*k - 3. Let o be u(5). Let x be -1 + (1 - 0 - o). Let f be (639992 - -5) + x\/1. What is f rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 6 + 22 = -5*r, -2*g = 3*r + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001591821 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57927*y = -4*h + 57943*y + 112, -2*h - 3*y = -0*y + 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, m: 1, b: 5, o: 4}. Give prob of picking 1 f, 1 b, and 1 o.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/(3 + -2). Let o = 2 - f. Solve -o*d - 16 = 2*b, -3*b + 3*d - 4*d - 14 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6510 - -6539. Solve -2 = v*a + 27 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i + i = -42160. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 1, u: 3, y: 1, m: 1}. Give prob of picking 2 u, 1 m, and 1 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4. Which is the closest to z? (a) 3 (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*n + 3536 = 0, 2666 = -3*f - n - 4*n. Let a = -863 - f. Calculate the remainder when a is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171650390027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25\/3 - -211\/21. Let q = d + -79\/42. Let p = -2.79 + 2.49. Which is the third smallest value? (a) p (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 bigger than 141\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -342, -1, -87, 0 in ascending order.\nAnswer: -342, -87, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7078 - -56531\/8. Let l = -4417599\/82 + 53874. Calculate the common denominator of l and p.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 5)*(-9*g**3 + 11*g**3 + 3*g**3)*(1 + 0 + 1) to a*g**2 + o*g + b + f*g**3 and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 3:44 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15833 + -15832.9999975832. What is s rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150509*i**5*x**3 - 100*i**2*x**3 - 658*i**2 wrt i?\nAnswer: 9030540*i**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 237616 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1) - (1 - 0). Let s be (-63)\/14*(-3 + r). Factor -4*n - 4*n - s*n**3 + 6*n**4 + 5*n + 9*n**2 - 3*n**4.\nAnswer: 3*n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 3 - (7 + 8) - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -12 (c) -7 (d) 1\/5 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12355 is divided by 6172.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 1640. Is 1\/(3 + q\/(-275)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.2 - -15.38. Let a = w - 0.56. Let l = a - 0.6199973. Round l to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**3\/n)\/n*n*n**(-1\/8))\/(n\/((n\/n**1*n*n)\/n))**(1\/52))**(-2) assuming n is positive.\nAnswer: n**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6687, 53576, 180867, 428760, 837455?\nAnswer: 1447152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p**2 - 20. Let y(x) be the second derivative of -x**4\/6 - 13*x - 3. Calculate y(k(f)).\nAnswer: -450*f**4 - 1200*f**2 - 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002012 - -212?\nAnswer: -2001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 + -0.1. Let i = h + -3.91. Let a = 0.01 + i. What is the nearest to 1 in a, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -133 in 1, 3, 4, 9\/5, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -57*q + 5. Let n be w(-5). Suppose 2*j + 282 = 5*i, -4*i = -3*j - 48 - 172. What is the greatest common factor of i and n?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, 1, -14, 5, 4 in ascending order.\nAnswer: -14, -5, 1, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 718491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 185.\nAnswer: 106\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 1. Calculate k(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 979842 and 18.\nAnswer: 2939526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2972, 6087, 9204, 12323, 15444?\nAnswer: 18567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h**5\/3 + 9898*h**4\/3 - 20717*h**3\/3 - 8306*h**2\/3 + 20692*h\/3 - 1592\/3 = 0.\nAnswer: -398, -1, 2\/25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:06 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 5, s: 9}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.223446 rounded to 3 dps?\nAnswer: -0.223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6078380 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -5*x**4\/6 - x**3\/2 + x**2 - 2*x. Let g(k) be the first derivative of a(k). Is g(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (120 + -146)\/((-14)\/21). Solve 44*b - 25 = v*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2. Let c(z) = -z. Let y(n) = -215*n. Let s(i) = 4*c(i) + y(i). Determine s(m(a)).\nAnswer: 876*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(4 - (1 + 114 + -5)). Put -1, t, 4 in descending order.\nAnswer: t, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 21290 = -27067 + 5652. Sort 5\/6, r, 0 in increasing order.\nAnswer: 0, 5\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 n when four letters picked without replacement from {n: 3, a: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 12020?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (91\/(-26))\/((-1)\/(-2)). Let n = 22 + u. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24058374 from -0.028.\nAnswer: -24058374.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272233861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 - 1.29. Which is the second smallest value? (a) i (b) -0.4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*c - 40 = -5*c, 0 = -3*n - 3*c + 27. Suppose 70 = -5*w - n*w. What is the common denominator of w and (-61)\/(-42) + 2\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 26290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -41. Let w(h) = -h + 2. Let x(a) = -k(a) + 6*w(a). Let u be x(10). Put 4, -3, 2, u in increasing order.\nAnswer: u, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-61)\/(-3) - 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - l + 22. Determine z(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197604021 to the nearest integer?\nAnswer: 14057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:32 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 5. Let z(h) be the first derivative of -2*h**3\/3 - 11*h - 3. Let n(y) = 13*u(y) - 6*z(y). What is the first derivative of n(m) wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 2108341.\nAnswer: 2108340.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p - 6. Let b = 14 + -21. Is g(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 3*u**2 + 7*u. Let j(n) = -n**3 - 3*n**2 - 6*n. Suppose 2*l + 2*t - 11 = -3, 2*t + 1 = l. What is l*j(x) + 2*g(x)?\nAnswer: x**3 - 3*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 238431?\nAnswer: 238427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165395\/207 - -799. Let w = k + 349\/414. Let x = -1 - -2. Is w > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1995 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3946 is divided by 359.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6520007*q + 6. Let z be a(2). Suppose 4*b + 5*j = z, -20*b = -22*b + j + 6519996. Round b to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/5 - 448*d**2\/5 - 254476*d\/5 - 17263688\/5.\nAnswer: 4*(d - 338)*(d + 113)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xypyyypxypyyyyxppxp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-18))\/(8\/(-144)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 8*f**2 + 6. Let c be y(-7). Let p = -518 - c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611*q - 7392 = -659*q. What is the greatest common factor of 98 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from zzlwzjzlzzwl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - 70 - -115)\/402?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 498*h**2 - 281*h**2 - 281*h**2 - 4*h + h**2 + 4*h + (h + 0*h + h)*(-4*h - 4*h + 6*h) - h**2 + 3*h**2 - h**2 - h**2 + 0*h + 0*h.\nAnswer: -67*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702 and 816.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i = 0. Suppose -2*b - 2 = i, 5*a - 1980 = -5*b - 0*b. Is a\/3 - 4\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56735, -56636, -56537, -56438, -56339, -56240?\n\"Answer: 99*n - 56834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksoldvk. What is prob of picking 1 k and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (129*38\/31046)\/((-45)\/6*1\/5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 204*o**4 + 321*o**3 + 120*o**2 - 27*o. Let t(s) = -29*s**4 - 46*s**3 - 17*s**2 + 4*s. Let z = -59 - -61. Let l(c) = z*a(c) + 15*t(c). Factor l(d).\nAnswer: -3*d*(d + 1)**2*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -252390.04 to the nearest one hundred.\nAnswer: -252400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.28 - 1318.28. Is h at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 10*z**2 + 10*z + 12. Let x be s(11). Let c be x\/(-3) - (-75)\/90. Put c, 2\/3, 2 in decreasing order.\nAnswer: 2, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p - 5 + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0.09 (c) -26734\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67970 is divided by 104.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -62*t**2 - 5*t + 1. Let g be i(-1). Which is the nearest to 2\/7? (a) -3 (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -73, 2.46, 0.1691?\nAnswer: 2.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*z - 21 + 3 = 0, 5*c = 3*z - 29 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3 + 128*l**2*s + 149*s wrt l.\nAnswer: 3*l**2 + 256*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35, -73, -111, -149, -187, -225?\n\"Answer: -38*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 9. Let k = -1 - z. Are k and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 > 1\/405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 39.42154 tonnes?\nAnswer: 39421540000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710185853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - (-56 - (76 - 123)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, 492, 3009, 7040?\nAnswer: 12585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -4. Let r = 17 + -4. Suppose 9*a - 4*a - 3*p - 1 = 0, -5*p = 3*a + r. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71, 70, 69, 68, 67?\n\"Answer: -u + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 7*c - 4. Let r be s(-8). Solve 2*v + 5*i = r*v - 27, -3*v - 2 = i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 2*n - 2*n**2)*(-6 + 2 + 0)*(2 + 0 + 0)*(4*n - n + n)*(6 - 1 - 3)*(0 + 3 - 5) as p*n**3 + d*n + q*n**2 + u and give p.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 7*j**2 - 3*j - 1. Let w be l(6). Does 7 divide w - (-1 - (-1 + 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = m - 3*m - 5*g, 12 = 2*m + 2*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35814172.87 to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = 4*m - 3, -5*q + 5*m + 60 = 0. Suppose 0 = -10*j + q*j + 288. What is the greatest common factor of 48 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**5 - 15*d**3 + 8*d**2 + 213*d + 1 wrt d.\nAnswer: 20*d**3 - 90*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -498*a**3 + 2*a**2 + 204*a wrt a?\nAnswer: -2988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1) + 1920\/(-15). Let g = z - -288. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1135 + -228. List the prime factors of f.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than 42.822?\nAnswer: 42.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*13.11.\nAnswer: -327.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/54 - p**2\/9 - 8*p. Factor q(f).\nAnswer: 2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 2*u + 5*u**2 + 0 + 3\/2*u**3 - 3\/4*u**4 + 1\/10*u**5. Let d be h(-15). What is d rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/48 + (2 - 26\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84302923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 54*u**2 + 7395*u - 513. Give n(-137).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**4\/12 + 29*h**2. Let w(a) = a**3 + 2*a**2 - a - 1. Let x be w(-2). Determine i(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/39)\/((-120)\/(-90)*(-1)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 340 + -35643?\nAnswer: -35303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 468\/11120382*186*(-7)\/4.\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(9)\/sqrt(3)*-2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -130, -480, -1170, -2314, -4026, -6420, -9610?\nAnswer: -13710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 0.1 (c) 12 (d) -1 (e) 0.3 (f) 1.65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Let h(u) = -3*u - u**2 - u**3 + 6*u**w - u. List the prime factors of h(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1595*v**2 - 1643*v**2 + 8006*v**2 - 1590*v**2 - 1587*v**2 - 1597*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 28 = 46. Suppose l*v - 11*v + 234 = 0. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-5)\/(-100))\/(2\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 8*v - 17. Let f be n(-2). Let u(h) be the third derivative of 0*h - 1\/240*h**5 - 2*h**2 - 1\/12*h**f + 0 + 1\/32*h**4. Let u(w) = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142701 and 1911.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -7. Let c(b) = 3*b + 3. Let w be c(4). Let g = u + w. What is the highest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1584) + -1) + sqrt(1584)*-1*6 + -2 + (sqrt(1584) + 0 + 5 - -3*(sqrt(1584) - (1 + sqrt(1584)))))*2)**2.\nAnswer: -1344*sqrt(11) + 310480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 - 6*f - 1. Let v(a) = a**2 + 5*a - 9. Let m be v(-7). Suppose 23 = m*p + 58. Is o(p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*l - 560. Let d = -74 + l. What is the smallest common multiple of 10*-2*d\/(-20) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -7. Let z = -6 - s. Suppose 8 = 4*c + 4. Are z and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -16*m - 842. Let h be k(-70). Is 282 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-4)\/(1 + 1)). Let m be -6 - -6 - (-2 + y). Suppose 4*h - 15 = -m*f + 29, -3*h - 4*f + 33 = 0. Calculate the smallest common multiple of 7 and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336436391 - 1269*o**3 - 336436391.\nAnswer: -1269*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -1.6845\nAnswer: 8.4225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 - 897*q + 900 = 0. What is q?\nAnswer: -300, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004 to 5 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -27. Calculate the lowest common multiple of 16 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {z: 6, o: 8, j: 1, q: 1, x: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18749, 11605, 2 in increasing order.\nAnswer: -18749, 2, 11605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.145*-373963.\nAnswer: -54224.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 279.73 - 279.63. What is the biggest value in 2, 5, y, -10.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 - (-3 + 1) - (0 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 40. Let z be p(-24). Let t = 94 - z. Let c be (272 + -2)*(0 - -1). What is the highest common divisor of c and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -1\/6, 23, -10\/3, 4?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1153 + 18*h + 48*h**2 - 1153 wrt h.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 18. Suppose 67 = z*i - 41. What is the least common multiple of i and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14033991 and 499160.1.\nAnswer: 14533151.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -699\/7 + 27967\/280. Let w(m) be the second derivative of 0 - g*m**5 + m**2 + 1\/12*m**3 - 1\/6*m**4 + 7*m. Factor w(l).\nAnswer: -(l - 1)*(l + 1)*(l + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1063064 and 15923979.\nAnswer: 16987043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 174741, 174748, 174755, 174762?\n\"Answer: 7*v + 174734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(-1\/2)\/b*b)\/b**(-7))\/((b**4*b)\/(b*b\/b**5))*((b*b*b**(-1\/6)*b)**23)**(-1\/10) assuming b is positive.\nAnswer: b**(-301\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c**3 - c**2 + 1. Let k be a(1). What is the second derivative of 8*n**4 + k*n + 2*n**4 - 14*n wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, 6\/5, 0.3, 0, 4 in descending order.\nAnswer: 4, 6\/5, 0.3, 0, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230762 + -0.0632.\nAnswer: 230761.9368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -63. Suppose m*a - 9*a = 265. Let q = 53 - a. Solve x - 1 + 3 = q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/8)\/((-5)\/8). Suppose 3*m - 2*m - 1 = 0. What is the closest to x in -3, m, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 15) to base 6.\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = -3*l - 2*l, 2*x - 4 = 0. Let z(m) = m - 2 - 2 + l. Calculate z(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/14*4 + (-432)\/(-56). Let f = -15 + 11. Let t be z*(2 + 3 + f). Solve 0 = -2*r + 4*r - t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 11*a + 34. Let k be c(11). Differentiate -15 - 31 + 47*s**4 + k wrt s.\nAnswer: 188*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -5\/558, 5, 4, 0.4 in decreasing order.\nAnswer: 5, 4, 0.4, 1\/5, -5\/558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 2. Let g = -73 + 69.6. Let f = -3.1 - g. What is the nearest to 1 in f, -0.4, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 2*t**2 + t + 123. Calculate the remainder when o(0) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -189*u**2 + 1510*u + 6. Determine x(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 7 = 31585*g - 31580*g, 3*g + 7*v = -71 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52116 + -256535?\nAnswer: -204416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-36)*o\/(o**6*o) assuming o is positive.\nAnswer: o**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 34453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u - 5 - 3 + 6 + (-20 + 24 - 14)*((0 - 1 + 3)*(3*u + u - 3*u) + 14 - 14 + 2*u) as o*u + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - (16\/(-2) - 2\/(-1)). Solve 0 = -p + t + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 33. Suppose 5*b = -2*m - z, -3*b = m - 0*b + 19. Let l = m + 9. Solve 0 = -t - 2*n + 1 + 1, 2*t + n = -l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77432 or 2?\nAnswer: -77432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194154, -388309, -582462, -776613?\nAnswer: -970762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 135205 + 270423 - 135218 + l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1102 + 3248 - 7915 - 11933)*((2 - x**2 - 2)*(-x + x - 2*x) - 2*x**3 + 2*x**3 + 2*x**3).\nAnswer: -70808*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/3? (a) -3\/7 (b) 3 (c) 11.7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001022 to five decimal places.\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -61135.7727 to the nearest one thousand.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {x: 1, l: 1, r: 1, v: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 1200 = -2448. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/60 - x**5\/20 + x**4\/12 - 2*x**3\/3 - 6*x**2. Is 20 a factor of q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 12*z**2 - 133 + 8*z**2)*(2*z**2 - 2*z**2 + 4*z**2).\nAnswer: 4*z**4 - 532*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c = -9*c + 423 - 55 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -28*i + 45. Let t(j) = 23*j - 46. Calculate 4*l(c) + 5*t(c).\nAnswer: 3*c - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73923231 at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:00 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 2*m**2 - m - 2. Let p be l(-2). Suppose -z + 3 = -5*u - 3, p = -u. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a + 5. Let o be t(1). Let m(r) = -16*r. Let h be m(-1). Solve o = 2*d + h - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79138 + -2140?\nAnswer: 76998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by -348?\nAnswer: -61\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:13 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(sqrt(432) + 1) + (1*sqrt(15)*3)\/(1*1*sqrt(5)))**2.\nAnswer: 510*sqrt(3) + 7828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -227628 divided by 56907\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/29))\/b)\/b*b)\/(b**(1\/5)*b) assuming b is positive.\nAnswer: b**(-164\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163344.25 - -3143.75. Let c = -166487.699998 + r. Let n = c - 0.3. What is n rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 834 + 206054.\nAnswer: 206888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 100*k**2 - 3626*k\/9 - 908\/3.\nAnswer: 2*(k - 454)*(k + 1)*(k + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + 0*v)*(4 - 3 - 5)*(1 + 2 - 1).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1098947146\/9 and 122105238 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*i - 5 = -1, 0 = -b - 4*i + 14. Let s be -3 - ((-4)\/b + (-257)\/93). Is -1 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73083846 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 12*x**2 - 124*x - 1142. What are the prime factors of p(-51)?\nAnswer: 2, 31, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2*r**5 + 5*r - 9. Differentiate g(j) wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6. Suppose i*z - 4 = -2*z. Suppose -z*n - 3*n = 0. Solve n*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 + n + 1. Let q be v(-1). Let p be q\/(-21) - (-23)\/7. Suppose p*d - 8 - 7 = -4*o, 4*o = 4*d - 48. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25670 + 16791 = -g. Let v be (-16 - -18)\/((-12)\/g). Let z = v + -7061. What is the common denominator of -19\/20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 at most 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 472 + -472.367. Let b = -0.067 - p. Put 1, 4, b, 0 in ascending order.\nAnswer: 0, b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 434152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*g**2 + 8*g - 11 + 0*g**2 - 6 + 17 in the form f*g + s*g**2 + j and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 + w - 16. Suppose 5*d = 9*d - 32. Let r be (3 + -1)*(-20)\/d. List the prime factors of v(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433636, 433723, 433812, 433903?\nAnswer: 433996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -8\/3 (c) -2\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssi when three letters picked without replacement from ssiiiiiiii?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/50 + -1*636\/1560.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/5)*a\/a**13)\/(a*a*a*a**(1\/3)*a*a)**(-6\/17))**(18\/5) assuming a is positive.\nAnswer: a**(-13338\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by 261?\nAnswer: 70\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 110*m**2 + 99*m + 99. Let l(w) = -7*w + 2. Let d(o) = o**2 - 13*o + 5. Let a(b) = d(b) - 2*l(b). Give -198*a(q) + 2*x(q).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -343423 (base 5) to base 15\nAnswer: -39e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let a = -21 - -15. Let v = -7 - a. Let i(d) = 4*d - 1. Let z(x) = v*i(x) - 5*w(x). What is z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49794396, -49794393, -49794390, -49794387, -49794384?\nAnswer: -49794381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.64529 rounded to zero dps?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 318077911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6631 less than -23?\nAnswer: 6608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.081?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -2*i**6\/15 - 17*i**5\/5 + 6*i**4 - 38*i. Suppose a(z) = 0. What is z?\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 24. Suppose -46 = -2*q - l*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 + (2 - (-45)\/2). Let j be (v\/20*-1)\/(6\/20). Let n(p) = p**3 + 4*p**2 - p + 4. Is 8 a factor of n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24145143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from rsrcooorssgsoc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203 + 203. Suppose 84*o - 96*o + 2448 = f. Is o a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, -2\/9, -75?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -85600, -85411, -85092, -84637, -84040, -83295, -82396, -81337?\n\"Answer: d**3 + 59*d**2 + 5*d - 85665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 10:51 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628055 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2.2. Let y = 6 + -3. Let m = y - 2.9. Which is the third smallest value? (a) -0.4 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -14*l + 1448. Let w be q(0). Suppose -f + 235 + 63 = 4*r, -r - w = -5*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2)\/((-2)\/3783). Is n*((-16)\/12 + (-1)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. What is the nearest to -3 in -1, r, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3 + 7 - t - 2 - 1. Let y be n(-7). Calculate the remainder when 50 is divided by ((-2)\/3)\/(y\/(-156)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 y when four letters picked without replacement from {o: 1, y: 4, v: 1, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -22. Let l(s) be the third derivative of -3*s**4\/8 - s**3\/3 + 6*s**2. Calculate the remainder when d is divided by l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -1\/7, 13, 2, 179, -4, 0.3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7872000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((180\/(-8))\/(-9))\/(80\/64))\/51.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8777556 divided by -628?\nAnswer: 13977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/78)\/((-12)\/(-18)). Let o = 4 + -3. Is o bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1560061 and 4765.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*(20\/(-8))\/(-5). Suppose 8 = 4*b + 2*x, -4 - n = 2*x. Suppose 3*m - 2*m + a - 6 = 0, -b*a = 3*m - 22. Solve -2*l + l + m = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*r**2 - 348*r**2 + 168*r**2 + 4*r - 4*r.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3072 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 12*187\/(-88)*14\/(-3)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/((-432)\/(-40)) - 728\/24)*-4. Solve -117*p = -x*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 + -63. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.8895 - -33.51. What is s rounded to 2 decimal places?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49275, 98423, 147565, 196701, 245831?\nAnswer: 294955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478537.9 grams to milligrams.\nAnswer: 478537900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -243.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9077 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 4 - 1 - 3. Let x(q) be the third derivative of q**5\/30 - q**3\/3 + q**2. Let h(c) be the first derivative of x(c). Calculate u(h(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*a + 31, a + o + 0*o = 10. Let r be (1 + 1)\/(6\/a). Let f = 11 + -8. Solve 0*h + h - 1 = -2*p, -f*h - r = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from xhhhzxljhjhx.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/239 - -212\/717. What is the third biggest value in -3, o, -295?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*a - 4*a = 4, -20 = -w - 5*a. Suppose -5*n - 78 = 4*l, -n + 3*n = l - 26. Let d = n + 18. Solve -s = -d*m + w, m - 3*s + 5*s = -10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*h + 3*h. Let z = h - 20. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83094447813 minus -346.1?\nAnswer: -83094447466.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k - 3. Let n be y(-3). Let c(i) = 35*i - 49. Let l be c(-16). Let z = -393 - l. What is the greatest common divisor of n and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2. Let i(a) = -9*a + 12 + 2*a - 84 - a**2 + 7*a. Determine i(d(r)).\nAnswer: -9*r**4 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o - 620636 + 620609 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f. Calculate n(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*u + 10 = 0, 4*b - 14 = 3*u + 1. Let y be 0\/((3 - 3) + -3). Solve y*j + 2*j + 3*m - 16 = 0, b = -2*j + m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4641.112 years?\nAnswer: 4.641112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206*c**5 - 318*c wrt c.\nAnswer: 4120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 15) to base 9\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - h - 5 = 3*c, -4*h = -c + 7. Let j be (c + -1)\/(2\/(-4)). Solve -5 = -5*p - j*z, 4*p = 6*p - 5*z + 31 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 51 = 11*w. Suppose 0 = -w*i + 3*l - 23 + 17, -2*i + 2 = l. Is 2\/1219 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or 457?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 5:23 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 125704757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -1.23.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -4*g + 8*g. Let r(b) = -46*b - 20. Let k be r(-1). Let y = k - g. Calculate the highest common divisor of 35 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 45.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 - -198. Let z(u) = u**3 + 4*u - 7*u**2 + 17 - 7*u - 3*u. What is the units digit of z(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 6160?\nAnswer: 6160.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 15) in base 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27549 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -c4?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - -3 - (414 - 345)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*s - m - 29 = 96*s, -5*m - 82 = 11*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149244?\nAnswer: 2, 3, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116077*o + 6*o**2 - 116077*o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-1)\/228) + 47 + -47.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15922, -16912, -18570, -20902, -23914, -27612, -32002, -37090?\nAnswer: -42882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 times -51612?\nAnswer: 3509616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -13*d + 2. Let y be d*(0 + -1)*(-3 - -2). Put 5, -12, y in decreasing order.\nAnswer: 5, y, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Suppose -c = -11 + 6. Suppose 0 = -c*s - 0*i - 4*i + 23, -i = s - 5. Solve -s*h + h - 8 = o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5.32. Let b = -0.08 + i. What is the nearest to 2 in 5, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -307*l**4 - 26761*l**3 + 2*l**2 - 7154892*l wrt l.\nAnswer: -7368*l - 160566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*m + 171*m**2 - 38*m + 485*m - 68*m**2 - 1267*m**2 - m**4 wrt m.\nAnswer: -12*m**2 - 2328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.882095428 to 3 dps.\nAnswer: 1.882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 65751*v + 47590370. Give i(716).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -301538.57 rounded to the nearest one hundred?\nAnswer: -301500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(-18) + -5 - (-508063)\/5040. Let o = u + -3527\/35. Calculate the common denominator of o and 149\/42.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207 and 5405?\nAnswer: 48645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -58256, -37, 4 in descending order.\nAnswer: 4, 3, -37, -58256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffsffs. Give prob of picking 1 s and 3 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -107350186 rounded to the nearest 1000000?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 4*k - 1 = -5*p, 5*p - k = 79. Let r be (1 - -2) + (6 - 144\/p). What is the third smallest value in -0.11, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, -1, 2 in descending order.\nAnswer: 2, -1, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 374798476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43323671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*z**4 - 170*z**3 - 13*z**2 - 2*z - 1671.\nAnswer: -216*z - 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -273.\nAnswer: -16.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5151*m - 4. Suppose u - 3*u = -14. Suppose -40 = 3*l + u*l. Let n be g(l). Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35 - (-2 + 0)*(-3)\/(-6). What is the highest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1*-1)\/(47\/(-94))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s + 6. Suppose 0*g - 2*g + j = -121, s*g = -2*j + 178. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + w + 7 = -a, 171*a + 19 = -7*w + 174*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 283 - 341 = 3*l - 237, 0 = l + l - 2*h - 106 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 7*g - 5. Let s(a) = -3 - 309*a**2 - 8*a - 7*a + 307*a**2 + 13. Let n(f) = -3*s(f) - 7*w(f). Give n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 7134120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g. Let j(o) = -90 + 90 + o**2. Determine q(j(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -6*u - 48, -4*u = -4*a + 72 - 40 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 52 = 7*t. Let y = t + -13. Let w = 25 - 15. Solve -4*f + 3*p - 6 = y, -w = f - 4*p - p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)\/((l*l**(-4))\/l*l)*(l**(-1))**(-2\/17))**17 assuming l is positive.\nAnswer: l**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - 73) + 96 - (1 + -1 + 28)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Let h = f - 0. Let v = 4 + -7. Sort h, v, -2\/11 in decreasing order.\nAnswer: h, -2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 15. What is l(11)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 285077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsss when four letters picked without replacement from fsfffsfs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:25 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from pzssz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5221*a**2 + 12*a + 118. Let g(q) = -2610*q**2 + 6*q + 59. Let z(w) = -3*b(w) + 7*g(w). What is the second derivative of z(s) wrt s?\nAnswer: -5214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 4. Let s(b) = b**2 + 3*b - 1. Let f be s(g). Let v(q) = q**2 + q - 3. Let m be v(-4). What is the highest common divisor of m and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + 3*w. Let v(u) = -u**2 + u. Suppose 3*h - 134 = 2*h. Let j = h - 125. Suppose 6 = 3*n - j*n. Calculate n*z(s) - 2*v(s).\nAnswer: -2*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**5 - 2*k**5 + 0*k**5 + (294 - 125 + 116)*(3*k + 0 + 0)*(k**4 + 1 - 1).\nAnswer: 858*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.8215 years?\nAnswer: 0.098215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1805.998 millilitres?\nAnswer: 1.805998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2. Let q(v) be the second derivative of -v**4 - 2*v + 113. Give n(q(m)).\nAnswer: -720*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/24*((-60081)\/(-11444) + 110\/(-24)).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 14\/9, 1\/2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*p - 112, k + 2*p - 5*p = 13. Let h = 20 + -20. Suppose 0 = -h*f - f - y, 0 = 5*y + k. Solve 2*q + 7 = f*w, -2*w - q - 11 = -7*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 22. Give g(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/12)\/((-1)\/252). Let c be r\/4*4\/6. Factor -6*s + 2*s**3 + 9*s**2 + s**3 + 3*s**2 + 6 + c*s.\nAnswer: 3*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d - 9 = 0. Suppose d*b - 5 = 4*n, b + 2*n - 5 = -0*n. Solve w + 3*i = 4*w, -2*w - 2 = -b*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -29.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 1 + 3. Find the common denominator of 75\/8 and 4\/(-8)*(-1)\/w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -104783, -5 in ascending order.\nAnswer: -104783, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 13*o**2 - 116*o + 21. Let z(b) = 2*b**2. What is the remainder when r(9) is divided by z(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.045 (c) 45 (d) -1\/4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84672.21l?\nAnswer: 84672210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 6293 = -8*i. Is 31 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -14. What are the prime factors of (-372)\/w - 4\/14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13338 is divided by 1090?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11322560 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 557236 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -638 and -0.0815.\nAnswer: -638.0815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2093*12.7\nAnswer: -26581.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10332 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -30*j + 76. What is the least common multiple of -4 - -1*(j + 18) and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/24)\/(-5) + (-17)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/11 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2913 + -1274. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckctkttkkcctckck. What is prob of picking 1 k and 1 c?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 1912*y**2 - 1890*y**2 - 17*y - 1 + 12*y in the form o*y**3 + i*y + a*y**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnnnpnpnnpnnnpnnp. Give prob of picking 2 p.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 94679248812 minus -0.8?\nAnswer: 94679248812.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -2 - (-140)\/10. Which is smaller: 19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11733*r**2 - 58*r - 61*r**6 - 6*r**4 + 30*r**6 + 50*r**5 + 29*r**6 + 58*r wrt r?\nAnswer: -240*r**3 + 3000*r**2 - 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617\/14 - (-3)\/(-2)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**3\/3 + 632*f. Let i(l) = 51*l. Let y(u) = 17*u. Let a(m) = -2*i(m) + 7*y(m). Determine o(a(s)).\nAnswer: -34*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 12*f**2 + 32*f + 19. Suppose -p + 9*h + 14 = 4*h, 4*h - 8 = -4*p. What is the remainder when j(-8) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.14, -0.5, 5, 5\/6, 0.201?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 482, 5, 4, 4\/3?\nAnswer: 482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 49?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlg when three letters picked without replacement from {l: 2, d: 1, g: 4, t: 2, f: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1401 - 852. Let w = c - 79. List the prime factors of w.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3. Suppose -q = q + 11*q. Let k = q + 1\/4. Which is the smallest value? (a) 1\/6 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:03 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**12\/(l\/(((l**3*l)\/l)\/l)) assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -436 - -1119. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 20*z - 4.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/(41\/(-82)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + 10)*((-20)\/(-10) - 72\/30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62555, -250021, -562461, -999875, -1562263?\nAnswer: -2249625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 17 - 12)*(-5*s + s + 2*s)*(2*s - 2*s - 2*s).\nAnswer: -104*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.9 + -23. Let a = v - 0. Are 20 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 365242635 + 4?\nAnswer: 365242642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(-3\/2)\/((((g\/g**(-2))\/g)\/g)\/g**4))**(-13\/4) assuming g is positive.\nAnswer: g**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11437927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5080*x**2*y**4 - 22*x**2*y**2 + x**2*y - 2*x*y - 56*y - 9 wrt y?\nAnswer: 60960*x**2*y**2 - 44*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2514, -5066, -7618?\n\"Answer: -2552*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 1979670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 416592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 3*f - 2*o + 43, 0 = 5*f + 5*o - 30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 12 = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 7*v**2 - 6*v**2 + 7*v + 3*v**2 + 1 - v**2. What are the prime factors of z(15)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2567 = -l - 2*u + 9045, -197368 = -17*l + 2*u. Calculate the highest common factor of l and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 38 - 54 - 14*y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1144015 + 11?\nAnswer: -1144004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 219*v - 8 - 213*v + 9. Determine s(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 1. Let j be i(-4). Let q = 24 - j. What is the remainder when 33 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*p + 222*p - 167*p - 201*p.\nAnswer: -222*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 240 = -3*r + 156. Calculate the greatest common divisor of r and 2651.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5\/5 - 198*o**4\/5 + 12396*o**3\/5 - 218856*o**2\/5 + 1588608*o\/5 - 827904 = 0. Calculate o.\nAnswer: -110, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1215)\/40)\/(30\/(-4)) and -101\/124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-4446))\/((-1)\/9).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -97071, -194099, -291079, -387999, -484847, -581611?\n\"Answer: 2*r**3 + 12*r**2 - 97078*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-5 + 4)) + 2 + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043291959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*4\/(-32) + (-407)\/(-444). What is the closest to p in 2, -0.5, 4\/3, 10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47*(2 - 5\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let s = 11 + -11.2. Which is the closest to 0.1? (a) 3\/4 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10535230 (base 6) in base 7?\nAnswer: 2516145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3\/2. Let t = -0.27 + -0.03. Let u = 0 + t. Put 3, u, x in descending order.\nAnswer: 3, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 + -14?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, -0.06, 2\/263, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (394 + r + 275 + 102 + 134)*(32*r**2 - 20*r**2 - 35*r**2).\nAnswer: -23*r**3 - 20815*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(36\/(-16)))\/(136\/969)*16\/6.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65 - 6 - 304*t + 177*t wrt t.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 57365695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 8:37 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 25. Let x be c(11). Let k be (-54)\/x*(2\/(-3) - 0). Do -1 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 4*f**2 + 43)*(-33*f + 33*f - 10*f**2 + (-6 + 4 + 1)*(-7 + 7*f**2 + 7)).\nAnswer: 68*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9104374 millilitres?\nAnswer: 0.0009104374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2479 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250937913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-2)\/2314*-1337. Let j = m - 2\/1157. Let w = -454\/7 - -65. Which is the biggest value? (a) j (b) w (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/2417 + -82187\/21753. Calculate the common denominator of 34\/127 and n.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 - 252\/405. Suppose 5*j - 7*j = 3*z + 4, z - 6 = 3*j. What is the nearest to 3 in o, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075394 is divided by 28298.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9784043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -48*b + b + 9*b + 67 - 29*b. What are the prime factors of u(-22)?\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -33*w + 903. Let r be v(21). What is the highest common factor of 3220 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*4\/(-18) + 8\/4. Which is smaller: 8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a milligram in micrograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**3 - 14612973*j**2 + 154269604.\nAnswer: 3*j**2 - 29225946*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 22. Suppose 0*x + 3*u = x + 5, -4*u + 20 = -4*x. Let l = x + o. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(20))*4)**2.\nAnswer: -128*sqrt(5) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/10)\/(2\/(-60)). Suppose -11 = 3*p - 4*p. Let y = p + q. What is the remainder when y is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 57, 44, 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -285*p - 47050. Calculate a(-143).\nAnswer: -6295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -0.155?\nAnswer: 2.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {l: 6, e: 2, a: 4, v: 4, u: 3, n: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -520, 16, 1, 2\/57, 0, -3 in ascending order.\nAnswer: -520, -3, 0, 2\/57, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*y + 23*y + 662*y**2 - 23*y**3 + 122*y - 70*y + 9*y**5 wrt y.\nAnswer: 540*y**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.247 - 2.147. Sort h, -0.1, 10 in descending order.\nAnswer: 10, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 31 = 4*l + 2*a, 4*l = 3*a - 21. Let h = l - -25. Let u(p) = -p**3 + 12*p**2 - 10*p - 7. What is the smallest common multiple of h and u(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138714253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11440\/1431)\/(-4) + 4 + -2. Is 0 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5869 - 5857. Solve 4*l = y - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*c - f + 3, 19 = -3*c - 4*f. Suppose 254*k - 221 = 518 - 231. Put 14, c, 1, k in descending order.\nAnswer: 14, k, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54798 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p**3 + 82*p**2 - 15178*p + 91152. Calculate g(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -24. Suppose -2*x - 16 = -5*y + 1, -h*y - 4*x = -26. Suppose 0 = -y*p - 3*p + 1328. What are the prime factors of p?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.5 (b) -463 (c) -1\/11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-2))\/(2\/4). Let h be ((-8)\/(-6))\/((-4)\/p). Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -337976 or -1013929\/3?\nAnswer: -1013929\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 751 - 7. Let k = 147 + i. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -407, -556, -705, -854?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32607 + 32607.3. Suppose -c + 0*c - 2 = 0. Let i be (2 - (-5)\/c) + -1. Sort l, -5, i, 1\/4.\nAnswer: -5, i, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6157, 7596, 9021, 10426, 11805, 13152, 14461, 15726?\nAnswer: 16941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 6*a**2 + 11. Let c(i) = i**3 - 4*i**2 + 7. Let g(z) = -8*c(z) + 5*u(z). Let o be g(2). Suppose 18*y + 15 = o*y. Solve 0 = y*t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/9)\/t**0)\/(t\/t**3*t**(-4\/5)))**(3\/7))**44 assuming t is positive.\nAnswer: t**(5104\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8237*m**3 + 18277*m - 513068845 with respect to m.\nAnswer: -24711*m**2 + 18277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2541) - ((sqrt(210)*-3)\/sqrt(10) + sqrt(21)))\/(sqrt(432) + sqrt(12)\/sqrt(4)*5).\nAnswer: -20*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2020312 - 1?\nAnswer: 2020311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28905*s**2 + 144517*s**2 - 28899*s**2 - 28902*s**2 - 28900*s**2 - 28894*s**2.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108875, -108862, -108849, -108836, -108823, -108810?\n\"Answer: 13*g - 108888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -336*v. Let u(n) = -2*n. Give a(u(z)).\nAnswer: 672*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/36 + (-10)\/45).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 8*y**2 + 9*y + 11. Determine a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(288) - (sqrt(288) + sqrt(288)*4 + -2)) + (sqrt(288) - (sqrt(288)*1 + sqrt(288)))*-2)**2 + -3 + 1.\nAnswer: -336*sqrt(2) + 1199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**7\/21 + 2*y**6\/15 + 3*y**5\/10 - y. Suppose r(h) = 0. What is h?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**3\/6 + 3*a**2 + 7*a. Calculate m(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -295, -430, -565, -700, -835?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1548*w**2 + 2. Let i(t) = -3*t - 2. Let l(m) = -10*m - 7. Let b(r) = -7*i(r) + 2*l(r). What is b(g(s))?\nAnswer: 1548*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4309*i**2. Let h(n) = -2*n**2. What is h(q(l))?\nAnswer: -37134962*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.497786 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*(h**1*h)\/h)))**(-36\/5)*(h\/((h\/(h*(h\/(h*h**5)*h*h)\/h*h))\/h*h*h)*h)\/h**2)**27 assuming h is positive.\nAnswer: h**(-2484\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(210)\/(1*sqrt(7)) - -2*sqrt(30)*3)\/(sqrt(10) - -3*sqrt(50)\/sqrt(5) - (sqrt(80) + sqrt(80)*-2)\/sqrt(8)) + -5)**2.\nAnswer: -12*sqrt(3) + 733\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4518 (b) 5 (c) -0.44 (d) 2 (e) 0.005\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -33*k + 38. Let s be z(1). Solve -s*r - 16 + 1 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, -258, 3\/2 in ascending order.\nAnswer: -258, -5, -0.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 294, 228, 164, 102, 42?\n\"Answer: r**2 - 69*r + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25568.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 11 - 23 - 3*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 15*x - 38. Let s(d) = -7*d + 19. Let m(p) = -2*l(p) - 5*s(p). What is the lowest common multiple of 28 and m(7)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -71.6. What is the smallest value in -2\/13, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(0 - 1 - 1)*(o + 0 + 0).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 15, 4, -3, 31 in decreasing order.\nAnswer: 56, 31, 15, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7384245 to the nearest integer?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2531711348 to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 - 3815034*l\/5 - 1212873701763\/5.\nAnswer: -3*(l + 635839)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73136799691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 2588295846.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a + 8364 = a + 11*a. Calculate the greatest common factor of a and 1394.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -21. Let t = 14 + u. Let f(y) = y - 3. Give f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 1, 0, -2, -6, -143, 33 in ascending order.\nAnswer: -143, -6, -2, 0, 1, 24, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sns when three letters picked without replacement from zczdccnccsdzcsdzd.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113592 is divided by 37816.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3485*g + 2 + 288*g - 4 + 4438*g as w*g + f and give w.\nAnswer: 8211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-three quarters of a minute?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -199*d**3 + 5*d**2 - d - 6. Let p be q(-5). Let l = p - 14440. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12217 - -12232. Does m = 69\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596661 is divided by 118599?\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/15 + 58502*h**2\/3 - 4680544*h\/15 + 6240896\/5 = 0. Calculate h.\nAnswer: -146271, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + 60. Let l(b) = b**3 - 11*b**2 - b - 11. Let n be l(11). Which is smaller: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4044.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 + -174. What is the remainder when 98 is divided by -4 - (c - (-21)\/7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c + 2 - 2 + 74*c to the form l*c + x and give l.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34436536447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 3*r + 3. Let v be g(3). Suppose -25 = 23*c - 18*c + 5*l, -v*l - 15 = -5*c. Determine n, given that c*n**3 + 0 - 4\/7*n**2 + 4\/7*n**4 + 0*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 168*f**4 - 76365*f**3\/2 - 28500*f**2 + 181710*f + 53352 = 0. What is f?\nAnswer: -39\/16, -2\/7, 2, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/(y\/(y\/((y**(-1)\/y*y)\/y)*y)*y))**(-2\/23) assuming y is positive.\nAnswer: y**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l. What is the units digit of 2 - (-10)\/(l - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139059 + -0.176?\nAnswer: -139059.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 + -244. Let f = 144 + b. Let y = -45.00038 + f. What is y rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4, -30*q = 7*y - 26*q - 351. What is the highest common factor of y and 13573?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*l*t**4 - 17*i*l*t**3 - i*l*t**2 - i*l - 26*l*t**2 + t**4 wrt t.\nAnswer: 24*i*l*t - 102*i*l + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 4*z - 3. Let n be g(3). Let c(i) = i + 10. Let q be c(n). Suppose 54 = 4*o + q. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101228 or -0.155?\nAnswer: -101228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 86*f - 8. Let q be a(-1). Let o = q - -151. Calculate the remainder when o is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2 = -34*x + 33*x, 0 = 2*x - 3*j + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 214014 (base 5) in base 16?\nAnswer: 1cd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175269 is divided by 83008.\nAnswer: 9253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-63 - -60 - (-1 + -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*-660\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/((-48600)\/(-96)) - (-3 + (-7)\/(-3))\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 48 and -3.2947?\nAnswer: 51.2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3399595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 29941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, v: 2}. Give prob of sequence vhhh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 450 and 90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (41 + 3 + -24).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 133*o**2 + 61*o - 1104. Calculate w(-67).\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171369 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110110111 + -101001000?\nAnswer: 1000001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-28) + 99\/21. Solve -3*g = -i*k - 13, 2*k + 5*g = -0*g - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16838 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -91 - 29. Suppose -3*y + v = -20 - u, 0 = 3*v + 6. Calculate the remainder when y is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let q = h + -8.1. Let v = q - -6. Put -2, v, 0.5 in decreasing order.\nAnswer: 0.5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 20817?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-3) + 2 + -2. Suppose -t*f + 4*r = 16, -2*f + 13 = 3*r - 6. Let l be 22\/(-5) + f - -3. What is the smallest value in -4, l, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 4*d - 4*d**2 - 25 in the form u*d + x + a*d**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p - 7*p - 6*p)*(2*p - p + 0*p - p**3).\nAnswer: 5*p**4 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3 + 3)*(4 - 4 - k**2) + (2*k**2 + k**2 - k**2)*(2*k + k - k) - 54 - 19 + 146 + 2*k**3.\nAnswer: 5*k**3 + 73","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, f: 1, z: 2, a: 1, i: 4}. What is prob of sequence ta?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65879585 to the power of 1\/2, to the nearest integer?\nAnswer: 8117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*p**5 - 25*p**5 + 19*p + 16*p**5 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 515, 2060, 4641, 8264, 12935, 18660, 25445?\n\"Answer: s**3 + 512*s**2 + 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*j = 4*j - 8, -y + j - 4 = 0. Suppose 0*w = 2*w + 14. Let v(r) = -1. Let o(g) = g + 3. Give w*v(s) + y*o(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*v - 0*v - 230, 3*f + 4*v = 145. Calculate the least common multiple of (5 + 17)\/((-120)\/(-300)) and f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4976*o + 15891 + 15893 - 31784)*(-o - 4*o + 6*o)*(-2*o**2 + 3*o**2 + 3*o**2).\nAnswer: -19904*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 26 + 8*n + 0*n + 2*n + 9*n. Let i(y) = -10*y - 13. Let l(q) = -5*i(q) - 3*u(q). Calculate the remainder when l(-9) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 8. Let h be u(3). Let s(f) = -77*f**2 - 3 + 84*f**2 + 3*f - h*f + 2*f. Let v be s(1). Solve -4*r + v = p, 4*p + 20 = -0*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (46\/6)\/(2*(-2)\/(-12)). What is the highest common divisor of 115 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 97 = -95. Suppose -13 = 3*i + u, 5*i - u + 1 = -10. Let c = d - i. Round c to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, t: 1, x: 4}. What is prob of picking 1 t and 3 v?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 9:51 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 54 = -28*q. Solve -4*g + q = 2*b + 3*b, 0 = g + 4*b - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypppyppzpjyjypzpy. What is prob of picking 2 p and 1 j?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 9. Suppose -5*a = 7*f - c*f - 252, a + f = 51. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -34. Suppose u = s - 2*s + 45. Suppose 17*r - 22*r = -s. Solve 11 = -5*h - r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 12 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260097370 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**3 + 1765*g**2 - 23950 with respect to g.\nAnswer: 12*g**2 + 3530*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171274 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 324, 326, 330, 336?\n\"Answer: u**2 - u + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -424012 + 2121?\nAnswer: -421341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -0.5 (b) 1 (c) -2\/13 (d) 121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 2. Let k(y) = y**3 + y**2 - 20*y + 2. Let v be k(-5). Let p be u\/(28\/(-25)) + v\/(-8). Solve 0 = 4*i + 2*d + p, 4*i - 3*d - 17 = -8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(272)\/(sqrt(512)*2 + sqrt(512) - sqrt(512)))\/(sqrt(6)\/(sqrt(24)\/(sqrt(72) + sqrt(8) + sqrt(8)))).\nAnswer: sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13312022 - 133203?\nAnswer: -20111231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/140 + 403*c**4\/28 - 115*c**3\/2 - 2*c**2 - 2*c + 44. Factor n(i).\nAnswer: -3*(i - 805)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) 99 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 2*f**2 + 4. Let q = -19 + 17. Let d be y(q). Solve 0 = -d*i - 2*l + 10, 2*l = 4*i + l - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 11:04 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 5. Let x be (56\/35)\/(20\/25). What is the derivative of 15*o**x + z + 4 - 3 wrt o?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -v + 3*t - 17, 0 = 2*v + 2*t - 16. What is the least common multiple of (-15)\/(v\/(-1))*1 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*g = -5*k + 3*k - 14, 95*k + 380 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/2607 and 73\/423.\nAnswer: 367587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(432) - 5*sqrt(432) - sqrt(432))\/((-1*sqrt(72))\/sqrt(8) - sqrt(9)))**2 + -4.\nAnswer: -1504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000093941 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 2*w**2 + 2*w - 1. Calculate x(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/40 + w**3\/3 + w**2. Differentiate p(f) wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 4*w**2 + 5*w - 3. Let l be b(3). Suppose l*o = -35 - 226. Let h = o - -955\/11. Find the common denominator of h and 139\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 7:58 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875 + 875 + 23*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -306*p**2 + 74*p - 74. Give s(1).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7\/2)*i*(i**(-2)*i)\/i)**(2\/121))**(-28) assuming i is positive.\nAnswer: i**(252\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2)*c**(-6))**(-46))**(-2\/75) assuming c is positive.\nAnswer: c**(-506\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12130?\nAnswer: 2, 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (76\/323)\/(36\/204)*-36\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 + 0.3. Let n(w) be the second derivative of -w**3\/3 + 2*w. Let j be n(-2). What is the third biggest value in -0.5, j, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 87012.4 milliseconds?\nAnswer: 87.0124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.2, -2\/17, -2\/33, -0.3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5910*a*r**2 - 299*a*r + 3503404*a - 8*r**2 - r wrt r?\nAnswer: 11820*a*r - 299*a - 16*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*i**2 - 51*i + 0*i**2 - 6207*i + 5*i**2 + 17*i**2 + 87*i**3 wrt i?\nAnswer: 522*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41807868 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 t, and 1 w when four letters picked without replacement from vtvtwltwl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2007 + 270?\nAnswer: -1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6839 and -1052.\nAnswer: 5787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h + 4. Suppose 150 = 3*m + 2*m. Suppose 3*d + 3 - m = 0. Suppose -2*n = 4*y - n + 12, -n = -3*y - d. What is g(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68058 and 492.\nAnswer: 5580756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -859688 and -20.\nAnswer: 17193760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -3)\/(3\/(-2)). Let l = 2.283 - -1.717. Let t = -0.02 + 0.42. Which is the nearest to n? (a) l (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/12 + 32\/64)*-63003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 + 6*l - 5. Let m(f) = -5*f**2 + 7*f - 6. Suppose 109*w - 113*w = 24. Calculate w*x(j) + 5*m(j).\nAnswer: 5*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 + -51 - (-2 - -10)) + 6 + -67 + 4?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3862\/7*y - 552 + 2\/7*y**2.\nAnswer: 2*(y - 1)*(y + 1932)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19450351 is divided by 1061.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {k: 1, c: 2, j: 9, w: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 33. What is the nearest to -1\/4 in r, -3, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3370793 (base 10) to base 5\nAnswer: 1330331133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w + 1. Let c(y) = -y**2 + 3. Suppose 0 = 3*v - v - 4. Let m be c(v). Determine n(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (28 - -2019) + -1 + 1 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**3 + 90*v**2 + 774*v + 2048. Let g(l) = -l**3 + l**2 - l. Let f be (-9)\/(-18) - 9\/6. Let i(u) = f*c(u) - 6*g(u). Factor i(k).\nAnswer: -4*(k + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 5208 + 924 = 0. Let y = l - -966. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213650, 427302, 640954, 854606, 1068258?\nAnswer: 1281910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1287326 from -17026432.3.\nAnswer: -15739106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 13.100193.\nAnswer: 3.9300579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -59010 (base 11) in base 16?\nAnswer: -14ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 32318*z - 10697257. Give c(331).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150*x**3\/11 - 37799*x**2\/11 - 216468*x + 15876\/11.\nAnswer: -(x + 126)**2*(150*x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 29 - (4 - (-13 + 27))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 7, -14, 33.\nAnswer: -14, 7, 33, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12\/5 (b) -1\/4 (c) 0.5 (d) 1 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*j + 9, 4*b - 5*j = 13 + 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1212\/11 + -110. Let j = 3.2 - 8. Let q = -0.2 + j. Which is the nearest to -11? (a) s (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.952275 micrometers to nanometers.\nAnswer: 9952.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 9:42 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1088) + sqrt(1088) + sqrt(1088) + 0 + sqrt(1088) + sqrt(1088) + 5 + 0 - (-2 + sqrt(1088) + 1 + sqrt(1088) - (3 + sqrt(1088))*-4))**2.\nAnswer: 64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1 + 3 + 5.\nAnswer: -sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60569107808 - 60569108406.00000351. Let i = -1269 - -671. Let b = p - i. What is b rounded to 7 decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.36 - 0.21. Let f = i + 6.85. Let y = 6.999999 - f. What is y rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -178, 2, -0.1 in descending order.\nAnswer: 5, 2, -0.1, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -274.3, -0.3, -1\/2, -21\/8?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -14. Let r = h - -11. Let w(a) = 4*a**2 - 1. Let p be w(1). Solve -5*x + 25 = -2*f, p*x - 34 = -0*f + r*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2085 = -3273. Suppose 5*v = x + 1192. Suppose -3*m = -150 - v. Round m to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47997.99978089 + -47998. What is d rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, 9, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163 + -160. Suppose 0*b + q + 49 = 2*b, -3*b + 78 = -f*q. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 33671835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 8*j - 38*j**2 + 47*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3092913 and 10025?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723\/213 less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 + 4*w**2 + 9*w**2 + 3*w**2 - 17*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -h + 14*a - 3, 2*a = 4*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oala when four letters picked without replacement from {o: 2, l: 7, a: 2, q: 1}.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -1\/5, -2\/9, -2, -1\/3 in decreasing order.\nAnswer: 0.09, -1\/5, -2\/9, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-296)\/(-40)) + 4\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -130 - 10*u**2 + 38*u**2 + 263 - 133. Let o(z) = 2*z**2 - 2. What is o(g(t))?\nAnswer: 1568*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -10*f - 2 + 22*f + 6 + f**2 + 9. Suppose 4*j + 3 = -41. Let b be o(j). Sort b, 3, -1 in descending order.\nAnswer: 3, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18522.4 - -15623. Round o to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/87, -10\/7.\nAnswer: -6, -10\/7, -2\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 13*j**4\/24 + 7*j**3\/6 + 2*j**2. Let s be d(5). Calculate the highest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 13 - (1 - -1)) + -15 + 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 10*w + 10. Calculate the remainder when 17 is divided by y(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m + 12*m - 19 + 3. What is the remainder when 162 is divided by x(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2032240981 to the nearest 10000.\nAnswer: 2032240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17169207\/7 or 2452744?\nAnswer: 2452744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 - 9*u**3 - 22*u**3 + 13*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8*b**2 - 7*b + 10. Let s be a(-7). Let j be s\/(-55) + 3*30\/11. Suppose -j*p + 9*p = 298. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214 divided by -257679.\nAnswer: -214\/257679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 54625 = -g, -4*x + 4*g - 149387 = -40139. Let s = x - -62313. Round s to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - b2cc81?\nAnswer: -b2cc84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 28. Let g = i + -12. Calculate the highest common divisor of g and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11617 + -6287. Is w a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19195 and 6980?\nAnswer: 76780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -221 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2792 or -2791?\nAnswer: -2792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2\/2 - 9992*o - 99970 = 0.\nAnswer: -10, 19994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let b(i) = 475*i**2. Calculate b(u(d)).\nAnswer: 1900*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sll when three letters picked without replacement from lllllsllllllllllll?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -27760 in increasing order.\nAnswer: -27760, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 560*m - 1795. What is the tens digit of z(81)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/91 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8739*0.123.\nAnswer: 1074.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 11*s + 4*s + 13*s - 1 + 14*s.\nAnswer: 33*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11410 + 1921 - 11*i - 8*i - 7*i + 25*i.\nAnswer: -i - 9489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 5*b**2 - b + 3. Let y(d) = -d**3 + d**2 - d - 1. Let v(q) = -m(q) - y(q). Let z be v(-2). Suppose -20 = -2*g - z. Which is smaller: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 6*y)*(-4 + 2 + 0)*(14 + 2 + 16)*(4 - 4 + 6*y).\nAnswer: 1920*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*k**2*m**3 + 2*k**2*m**2 + k*m**3 + 21*k*m**2 - 3705*m**3 + 1195*m**2 wrt m.\nAnswer: -1278*k**2 + 6*k - 22230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (-3 + (sqrt(19) + 0 + sqrt(19))*6 + sqrt(304) + 0)**2.\nAnswer: -96*sqrt(19) + 4875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 19*f**2 - 98*f - 23. Let l be u(13). Calculate the highest common divisor of 154 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoohhjjhhjhhjojjjh. What is prob of sequence hoo?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 516228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t - 1. Let o be (-2)\/(-8)*(15 - -1). Let u(y) = 0 + 2*y - y - 6. Let x be u(o). What is v(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:14 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36054931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 108*m**2 + 75*m - 344. Is o(-57) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + ((-24)\/36)\/(2\/(-3)). Suppose 0 = 3*m - 3*a + p, 4*m + 5*a - 32 = 0. Suppose m*b - 4*b = -5. Solve 0 = 5*g + b*x - 5, 0*g + 2*g - 3*x = -23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -150, -236, -338, -462, -614, -800?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 10*v - 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22447\/6 + -3755. Calculate the common denominator of ((-6)\/28)\/((-27)\/738) and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9384 and 2941?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 21\/10037834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134157163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(6*(sqrt(2736) + sqrt(2736) + 5*(sqrt(2736) + -1) + -1) + -5)**2.\nAnswer: -165312*sqrt(19) + 19311938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 20, -1, -5 in increasing order.\nAnswer: -5, -1, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -310033404 (base 5) to base 2\nAnswer: -100110001110000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 2*l - 1. Let w be c(-2). Suppose 4*u = 5*h - 112, w*h - 48 = -0*h - 4*u. What are the prime factors of h\/30 - ((-295)\/3 + -2)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -54?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (152\/57)\/((-4)\/(-18))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3 + b*i + 6*b - 28*i - 10 wrt b?\nAnswer: 3*b**2 + i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144468073 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8 and -50156.748.\nAnswer: 140438.8944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3000, -5850, -8726, -11634, -14580, -17570?\nAnswer: -20610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55.4 - 299.4. Let s = -249 - m. What is the nearest to -2\/7 in s, 4, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:24 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97.98171ml?\nAnswer: 0.09798171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3087 or 1.221?\nAnswer: 1.221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*w**3 - 2 - 10 - 9 + 13 with respect to w.\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 3*a - 4. Calculate j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.0309 - 9.33. What is t rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 2*r, 4*r = 3*r - 4*o - 8. Let m(b) = 17*b - 99. Let d be m(6). Suppose r = -d*k - 0 + 6. Calculate the remainder when 7 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418 and 132?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -2\/7, 3, -1\/6 in ascending order.\nAnswer: -2\/7, -1\/6, -0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) + (-4)\/(-8). Let x(z) = -z - 4. Let n be x(c). Sort -0.2, n, -2\/3 in decreasing order.\nAnswer: -0.2, -2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 218 - 209. Suppose 425 = 2*j + i*f - 4*f, 2*f - 1031 = -5*j. Does 41 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252)*-1 + sqrt(252)) - (sqrt(252) - sqrt(252)*-1*3))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5320 and -32.\nAnswer: 170240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/5, 13682, -3.6 in ascending order.\nAnswer: -3.6, -2, 1\/5, 13682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-8))\/(117\/6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 4*o + 25491*o**2 - 6*o + 13990*o**2.\nAnswer: -3*o**3 + 39481*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*n**5 + 170*n**4 - 53*n**3 + 3*n**2 - 5294234 wrt n.\nAnswer: -3780*n**2 + 4080*n - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13226327?\nAnswer: 43, 307589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.62 - 0.62. Let h = -24.9 + w. Let o = 1 - h. Put -3, o, 4\/7 in descending order.\nAnswer: 4\/7, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(85) - (sqrt(85) - ((sqrt(85) - (sqrt(85) - sqrt(85)*2)) + sqrt(85)))*-4 - sqrt(85)))\/(5*sqrt(45) + (sqrt(25)*-2)\/sqrt(5)) + -3)*2.\nAnswer: -6 + 32*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2451 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 107324.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5539, 11387, 17235, 23083, 28931?\nAnswer: 34779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**3\/3 - 13*p**2\/2 + 10*p + 3. Let y(u) = u**3 - u**2 - 9*u + 15. Let o be y(3). Let f be w(o). Solve 2*m = f*m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -208, -207, -206, -205, -204?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*w = 281, w + 30 + 35 = x. Let o = -59 + x. Suppose k + o - 12 = 0. Calculate the greatest common factor of 27 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 480*q - 55178. What is j(-296)?\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/3, 0.5, -57, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eehc when four letters picked without replacement from chcecce.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-16)*(n**(1\/3)*n)**(-1\/3))\/((n\/(n*n\/n**(-2\/7)))**(-42))**(-2\/15) assuming n is positive.\nAnswer: n**(1024\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78927, 79059, 79191, 79323, 79455?\n\"Answer: 132*t + 78795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 1:22 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 79. What is the tens digit of m\/(-5) + 4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0346 and 0.002?\nAnswer: 0.0000692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = x - 1, -2*x - 9029*p + 5 = -9026*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*k, -5*s - 5*k + 10 = -0*k. Let g = s + 5. Suppose 20 = g*c + 4. Solve -2 = -c*y - 4*z + 10, 6 = -3*y + 2*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 40148321.\nAnswer: -4, 3, 40148321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.727800775 rounded to three decimal places?\nAnswer: 1.728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732286857.\nAnswer: 7, 103, 49033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 10*f**2 - 54*f - 19. What is m(-14)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13861, -15899, -17913, -19897, -21845, -23751?\nAnswer: -25609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 344 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/13, 5.628, -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 36 = -6*h. Put -2, -5, h in descending order.\nAnswer: -2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, c: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 25999148*b**2 - 42247218045792*b + 42247244044944.\nAnswer: -4*(b - 1)*(b + 3249894)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 e when four letters picked without replacement from {e: 5, t: 7, g: 4}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - x + (3078 - 3078 - 75*x)*(0 - 4 + 2).\nAnswer: 149*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcclclcfjlwcjcjlwft. Give prob of picking 1 w and 1 c.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25d + -31?\nAnswer: 22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -29. Let r = -0.4 - -0.3. What is the nearest to -1 in r, q, 1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54555*v**2 + 32596 wrt v.\nAnswer: -109110*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 60.68. Let m = -0.68 - d. What is the closest to m in -0.4, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + (-2)\/3. Let o(y) be the second derivative of 5*y**3\/6 - y**2\/2 - 4*y. Let d(c) = -c. Give t*o(b) - 4*d(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -26 - 39. Let m = 19 + d. What is the remainder when m is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s + 8*s + s**2)*(-9*s**3 - 2*s**3 + 0*s**3 - s**3 + 2 - 2 + (-2*s**2 - s + s)*(0*s - 2*s + s)).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**6\/4 + 3*m**5\/10 - 3*m**4\/8 - m**3\/2 + 5. Factor k(o).\nAnswer: 3*o**2*(o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdvv when four letters picked without replacement from vvvdvdvd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -661 + 1106. Let a = q - 445.3. Put -0.4, a, -3\/5, -0.8 in ascending order.\nAnswer: -0.8, -3\/5, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13124 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 8.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (129\/4)\/(3\/8). Let g = -84 + n. Suppose 0 = g*p - 4*p + 238. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 8*w - 8. Does 4 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 2035590.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a90 (base 15) to base 13.\nAnswer: -1116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/77 - 1\/33. Which is smaller: 23 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 6, -1, 4, -203, 249 in increasing order.\nAnswer: -203, -6, -1, 2, 4, 6, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 5 - 5 - 1.\nAnswer: 8*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12212*a**5 + 52*a**3 + 13053*a**2 - 238*a?\nAnswer: -732720*a**2 + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*f = 2*b - 1747, 3*f = 3*b - 1779. Calculate the greatest common divisor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 667.8758047775 + 3.1242026425. Let l = c + -671. What is l rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -963 bigger than -965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0571 - 51.058?\nAnswer: -51.1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 4. Let s be j(5). Let l = -3 + 5. Let f = l - s. What is the remainder when 32 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = -702. Suppose -2*f + v = f. Suppose 5*w + 0*w = 4*t - f, -5*t = -w - 120. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 4*y**2 - 13*y - 11. Let s(l) = 2*l**3 + 4*l**2 - 14*l - 10. Let g(m) = 6*o(m) - 5*s(m). Find w, given that g(w) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4, -7*n + 4*n = 2*x - 57. Let u = 8 - 8. Suppose 3*l - 18 - 42 = u. What is the highest common factor of x and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r\/r**(-1\/3))\/(r**3*r*r\/(r**0\/r)))\/(r**(10\/9))**(-21\/8) assuming r is positive.\nAnswer: r**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 28 + 78)*(4*s - 6*s + s) to x + j*s and give j.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 121. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.521 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 8*b + 11. Let w be m(9). Suppose 4*a = -w, -2*a - 43 = -4*p + a. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011000 (base 2) in base 16?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -1\/5 (b) -3\/5 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*v. Let q(j) = -51*j**2 - 4 + j**3 + 23*j**2 + 2 + 27*j**2. Let f be q(v). Solve r + 2 = -f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4617 divided by -89.\nAnswer: -4617\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - g + 34 = 0, -12 - 1 = x - 2*g. Let r(w) = 5*w + 9. Let t = -691 + 1114. Let n(i) = 3*i + 417 + t - 835. Determine x*n(b) + 6*r(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - 6.4. Let f = x + 5.14. Let m = -0.1 + f. What is the second smallest value in m, 1\/5, -1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100942255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/21)\/(d*d\/d**(-3\/2)))**(5\/8)\/(((d*d**(2\/3))\/d)\/d**4)**(-37) assuming d is positive.\nAnswer: d**(-42155\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v + 3*v)*(-2 + 2 - 2)*(-1 - 14 + 2).\nAnswer: 52*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 3*k - 12 - 33 + 3*k**2 + 0*k. What are the prime factors of q(-13)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 15*i - 60. Determine l(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m**3 + 3*m**2 - 4*m - 2. Let u be x(2). Suppose d - 3*d - 90 = 4*v, -v + 189 = -4*d. Let k = d - u. Which is smaller: k or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48233425, 96466852, 144700279?\n\"Answer: 48233427*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 22 = -2*d - 2*d, 0 = -3*z - 3. What is the remainder when 22 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1068, -2138, -3208, -4278, -5348, -6418?\nAnswer: -7488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6*m + 8 = 0. Let g be m\/(-5) + 1377\/135. Suppose -3*l = -6*l + 9. Solve -2*v = l*v + g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3))\/a**6*(a**(1\/4))**(4\/21)*(a**3\/(a\/(a*a**(2\/7))))**(-4\/13) assuming a is positive.\nAnswer: a**(-809\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1298166012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5510 <= -5506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132231014 + 4?\nAnswer: 132231023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 2, 0.5, -4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1080*l**3 - 4*l**2 - 5*l - 5. Let q(n) = 3780*n**3 + 14*n**2 + 17*n + 17. Give 17*k(j) + 5*q(j).\nAnswer: 540*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -18. Solve -q*x + 6 - 5*x + 15*x**2 + x - 2*x = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9. Let q = -40 - -68. Suppose 2*v - 6*v + q = g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukk when three letters picked without replacement from ukyku?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 17*r**2 + 2*r. Let h(d) = -2*d**2 - d. Let o be h(-1). What is the remainder when 160 is divided by y(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/264 - 31248945\/(-770).\nAnswer: 40583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2929680?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -74 - 78 - 73 - 2*x - 73 + 297 + 537*x**2 in the form i*x**2 + p + f*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27302 - -27298. Let n = 8\/15 - 116\/105. Which is the smallest value? (a) -3 (b) 1\/11 (c) n (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2. Let h(v) = 5*v**2. Let g be (1\/2)\/(15\/(-60)). Calculate g*h(z) - 5*n(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112473*i + 1 - 112474*i + 9.\nAnswer: -i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1564308 and -194.\nAnswer: -1564502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143*d**2*n**2 - 41*d**2*n - 28*d**2 + d*n**2 + 54*d + 9906*n**2 + 6*n wrt n?\nAnswer: -286*d**2 + 2*d + 19812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 53*i**2 - 274*i - 42. What is v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(-2 + (sqrt(11) + -2 + sqrt(11))**2 + sqrt(66)\/sqrt(6)*5).\nAnswer: -3*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 1. Let m(h) = -1. Let x(i) = c(i) + m(i). Let s(d) = 2 - 2 - d. What is x(s(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -0.2, 1, -18, 0.1557, 0.3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 21312\/(-1260))\/((5\/250)\/((-6)\/15)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*m - 5, 0 = -3*a + 6*a + 6. Solve 4*l + 25 = 3*l - 4*j, l = -m*j - 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -11*z**4\/4 + 4*z + 261. Let o(a) = 21*a**3 - 7. What is -7*m(p) - 4*o(p)?\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299519 and 8833?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.179915988 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 13 - 765\/195?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - n = -11, z + 2*n + 28 - 20 = 0. Let g be 0\/(((-184)\/69)\/((-4)\/z)). Solve g = -4*l + 6*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1\/((-4)\/(-48)*3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 32824, -2 in decreasing order.\nAnswer: 32824, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1661?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 6939*y - 2.\nAnswer: 6939*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 12:07 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 11. Let w be n(-8). Is 14\/9 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**2 + 4. What is q(3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 2384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -811 (b) 2 (c) 0.2 (d) -6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g = -10. Let m(w) be the first derivative of 3 + 10*w + 7 + 0*w**g + w**2 - 1. What is the derivative of m(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 8. Let t be z(-12). What is the closest to 2\/5 in 3, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 54. Suppose 20 = 4*v - 4*o, 3*o + 5 = -k. Solve -u = -v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + -51 + 36 + 40.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 6. Let j be s(-7). Let z be 3\/(j*2\/12). Let u be ((-56)\/z - 2) + -1. What is the closest to 1\/3 in u, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4353\/50785)\/(48\/(-28)*-2)\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = -0*k. Let c be (3*-2 - -2)\/k. What is the second derivative of -5*g + 5*g**4 + g - c*g wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123366 is divided by 156?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38*5.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30264192 and 256?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*i + 90, 93602*i - 93599*i + 58 = 3*k - 5 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28 - -3)*1 + 1 + -5. Suppose -2*d + 57 = t. Solve -b = 2*b - d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2. Let j(z) = -39*z - 114. Let h(b) = 8*b + 23. Let u(y) = -24*h(y) - 5*j(y). Let v(i) = 1. Let x(l) = u(l) - 18*v(l). What is x(r(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and 0.26530260758.\nAnswer: 0.21530260758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 76776408 = 76776409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**19*b))**(-48) assuming b is positive.\nAnswer: b**960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 o when three letters picked without replacement from {o: 1, l: 13, q: 3, k: 3}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*t**3 + 0 + 0*t**2 + 1\/4*t = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 2\/5 (c) -3 (d) 2\/27 (e) 0.17 (f) 3\/7 (g) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1073626834?\nAnswer: 1073626834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/(1\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457608560?\nAnswer: 2, 5, 5720107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 - 9*n**3 + 2*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 5\/3 (c) 9 (d) 0.671 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 3*p + 1. Suppose -l - l = -4. Let y be i(l). What is the second derivative of 1872*w**2 + 3*w**y + 7*w - 1872*w**2 wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 2\/9 (c) 1\/7 (d) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 19. Let l = p + 37. Is l at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1425940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 5:47 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*k - 3*a + 1, 2*k + 2*a - 4 = 0. Solve -5 = -k*r + 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 - 30*r - 1105. Calculate k(-28).\nAnswer: 2087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 161 = -466. Calculate the remainder when t is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251567680 - -15346875213\/61. Let n = -20439 + t. Calculate the common denominator of n and -67\/6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.029 and -48.1.\nAnswer: -1.3949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:58 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:00 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2. Let q(f) = 20195*f - 21. Determine q(j(m)).\nAnswer: -40390*m**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922125091.\nAnswer: 179, 457, 23497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1668.0003615 - 1668. Round d to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/58 and 125\/100*(-34)\/25.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 8 - (-26 - -17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/5*-1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + n + 2*v + 40, -40 = 5*n + 5*v. Calculate the remainder when 16 is divided by (18\/n)\/((-2)\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*l + 60 - 215, -4*l = 5*u - 830. Suppose -4*w = 5*t + 68 - u, 0 = 2*w - 4*t - 64. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*w - 2*d + 7*d, -2*d = 2*w - 14. Let v(o) = -w*o - 2 + 1 + 1. Let n(q) = -2*q - 4. Let h(c) = c + 1. Let y(x) = 4*h(x) + n(x). Calculate v(y(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -18. Let r = 224 - 225. What is the biggest value in r, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000991 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) 1451 (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 2*p + 9. Determine l(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -17, -30, -45?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -27*((-10)\/(-42) + (-356)\/623) and (-6)\/((-6)\/(-8) + -1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 - 171. Let i = 141 - k. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -173, -587, -1395, -2729?\n\"Answer: -22*q**3 + q**2 - q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2283529 = -4*k, 16*d = -3*k + 17*d + 1712648. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.282778 and -6.\nAnswer: 1.696668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 6:55 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 514 = 2*d + 5*p, 502 = 3*d - p. Let f be 2\/(-7) + 1896\/d. Let x = 0.5 + -2.5. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 5)*(3*a**2 - 3*a**2 + 2*a**3 + (12*a - 28 + 28)*(19*a**2 + a**2 - 2*a**2)) to the form m + p*a**3 + h*a**2 + w*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3 - 3)*(2*j + j - 5*j)*(-7 + 7 + 5*j).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 8*r**2 + 2\/3*r**3 - 1 + 1\/8*r**4 + 0*r - 1\/60*r**5. What is a(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/13 + 1676*y**3\/13 + 468720*y**2\/13 + 43902324*y\/13 + 43435278\/13 = 0 for y.\nAnswer: -279, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + 0*o**2 + 0*o**2)*(153 + 168 - 1135*o - 321) in the form u + v*o**2 + p*o + y*o**3 and give y.\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + 4*b. Let c(q) = -9*q**2 - 9*q + 1. Suppose -4*u + 47 = 5*l, -l + u + 4 = -0*u. Determine l*m(a) + 3*c(a).\nAnswer: a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.98173 rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21120.8 - -23257.11. Let a = c + -2148. What is a rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g**3 - g**2 + g - 1. Let u be z(1). Let b = 1189\/10 - 662\/5. Let r = b - u. Is r bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2))*3*1.\nAnswer: 3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -16\/7, -3\/7, -1\/116 in descending order.\nAnswer: -1\/116, -0.04, -3\/7, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 + 2165 = -37*b. Do b and -55 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g - 4. Let m be n(-3). Let p = m + 2. Suppose -p*o + 2*o = -18. What is the remainder when 35 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8016 (b) 3 (c) 4 (d) 70 (e) -0.2 (f) -3\/2 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 84*t**2 - 20*t + 19 + 40*t**2 + 23*t**2. Calculate the remainder when 74 is divided by q(-20).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-101*(1 + 0))\/4*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 0.02 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -919 - -918. Which is the nearest to -1\/2? (a) -2 (b) 9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 10) to base 6.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4880266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = o + 7, -4*o = 8*a - 3*a - 17. Solve a*z = -274 + 264 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/45*-3*90. Let t be -1 - 4\/(j\/(-28)). Let u be 23\/(-4) + 1 + (10 - 4). What is the second biggest value in t, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 33\/(-9))*1\/(-11). Which is greater: r or -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5207730 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(3328) - (-1*sqrt(13)*6 + 3*(sqrt(52)\/sqrt(4))**2).\nAnswer: -39 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2746, -3191, -3916, -4909, -6158, -7651, -9376?\n\"Answer: 2*h**3 - 152*h**2 - 3*h - 2593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*o**2 - o + 1)*(-4396 - 6698 + 1211 - 882) as y*o + d + s*o**2 and give y.\nAnswer: 10765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - -118. Factor -13*v - r*v**3 + 11*v**3 + 0*v + 9*v.\nAnswer: 4*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.004, 1, -5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 4*c)*(-4*c**2 + 2*c**2 + 0*c**2) - 10*c**3 + 11*c**3 + 17*c**3 + 3*c**3 + 0*c**3 - 5*c**3.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 135*j**2 + 23*j - 44. Let u be b(10). Suppose -132*p + 129*p + u = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1578 - 1579. Let t(x) = x**3 - x**2 - 1. Let d(f) = -7*f**3 + 6*f**2 + 2*f + 5. Suppose -j = -2*j - 5. Calculate a*d(l) + j*t(l).\nAnswer: 2*l**3 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15288)\/30 - 2\/5. What is k rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + sqrt(245) + 2 + 1*(sqrt(245) + 1))*5)**2.\nAnswer: 6300*sqrt(5) + 74175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) - 13*(-16)\/(-312)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -20. Let z be u\/(-4)*(29 + -27). Solve -3*w + 5*y - 40 = -0*y, -z*w - 5 = 4*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ammmmamaammma?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 5:11 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 7. Let g(r) = -2*r + 8. Let o(t) = -t - 54. Let x be o(-20). Let l = -9 + 48. Let i = x + l. Calculate i*g(d) + 6*u(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71590.46 meters to nanometers.\nAnswer: 71590460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.4079 or 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 8*v - 12. Let i be m(-6). Suppose 0 = -4*w + 17 + 55. Suppose -4*u + w + 10 = i. What is the highest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 94*t**2 - 40*t + 1. Let r be d(-4). Calculate the greatest common factor of r and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.4, 7, -46, -115.5.\nAnswer: -115.5, -46, -0.4, 2\/15, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -967.372662 to 0 dps.\nAnswer: -967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 1199.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 4. Let w(i) = -4*i + 3. Let g be w(d). Let a(c) = c**2 - 3*c. Let r be a(4). Solve 9 = -2*m - 3*h - 2, r*m + 3*h + g = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3362153707 and -11.504.\nAnswer: 3362153695.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(11) + sqrt(11) + -1)*-4 - (1*(5*sqrt(11)*2 - sqrt(11)))**2.\nAnswer: -899 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12504, -12503, -12502?\nAnswer: -12501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.396 or 2\/22403?\nAnswer: 2\/22403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b - 5. Let t(f) = -2*f - 310 - f + 173 + 135. What is -2*r(y) + 5*t(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wju. Give prob of sequence wu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 40. Let j be y(0). Calculate the greatest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/(z**(2\/3)*z*z)))))\/(z*(z\/(z*z**(-10)\/z*z))\/z) assuming z is positive.\nAnswer: z**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88273 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -5, 0, 9, 22, 39?\n\"Answer: 2*v**2 - 5*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5*7\/(-105))\/(4\/48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -32 (b) 0.3 (c) -0.4 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39920 is divided by 6414?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -615 - -75932?\nAnswer: 75319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656824310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/9)\/(1\/(60\/(-8))). Suppose a*w + 1 = 16. Let c = 19 - w. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add 0.0215 and 0.4026.\nAnswer: 0.4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o**2 - 12731*o - 63826. Calculate y(-5).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72 or 0.00172?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00150611128 to 5 dps.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*13\/((-780)\/18)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -41*f - 795. Let w be z(-13). What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.770778 to 3 dps.\nAnswer: 13.771","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -1 (c) 3\/5 (d) 1\/166210\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*j + 48 = 183*j - 95*j + 3*d, 0 = -5*j - 2*d - d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/452? (a) -2\/17 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p**2 + 173 - 24 - 149.\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 25*h + 4. Let s be p(9). Suppose 0 = -3*l - 2*c + 236, 0 = 3*l - 3*c - 2*c - s. Calculate the remainder when l is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219938161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 11) to base 13.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -39874 <= -39875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*f**4*w - 314*w wrt f.\nAnswer: 128*f**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3463 (base 13) to base 11.\nAnswer: -5580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 - 31 = 4*c, 4*z + 17 = 3*c. Let a(h) be the first derivative of 7*h**3 - h**2\/2 + 20421. Give a(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/7, -1\/8, 0.01, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 at most -1.6917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:05 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 251*g = 5*f + 1623, -f - f - 14 - 4 = g - 3 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = 12*i - 316. Is i at most as big as 9\/1496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - g)*(2*g**3 + g - g) - 8*g + 0*g + 6*g**4 + 10*g.\nAnswer: 4*g**4 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5082 - 4?\nAnswer: -3.4918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*n + 5)*(-2*n**2 - 3*n**2 + 4*n**2) - 1319*n**3 + 7747*n**3 - 4282*n**3.\nAnswer: 2149*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2*14 + (2023063\/5130)\/(-53) and -64\/567.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 520\/85 - (-2)\/(-17). Suppose 0 = -6*w + 5*w - 6*w. Put 2, w, k, -1 in decreasing order.\nAnswer: k, 2, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.33601 (b) -0.1 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81350 and 140?\nAnswer: 1138900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 63. Suppose w*i = 5*i - 2. Suppose -1473 = -i*t - 211. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*y - 92. What is the smallest common multiple of (y\/(-10) + 3)\/(1\/(-5)) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3443407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 4*m**2 + 4*m - 9. Let p be x(4). Let v = 196 - 196.2. Which is the third smallest value? (a) v (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 5478?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 35*y**2. Let t(c) = 12*c**2. Let h(z) = 6*g(z) - 17*t(z). Let u(n) be the second derivative of n**4\/6 + 4*n. What is u(h(f))?\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 137 and 0.04?\nAnswer: 5.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.53 to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (84\/168)\/(10\/(-84))*10\/(-9)*-3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + i - 25 = 0, 8*h = h + 8*h - 4*i + 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y + 953 = h, 4*y - 962 = 2*h. What is the remainder when y is divided by 86?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-6)*(-1052)\/(-1052)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 29. Let m = 170 + -173. Which is the closest to d? (a) -0.1 (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 4, 1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = m, -11 = -4*q + 5*m + 7. Suppose 0 = 2*v + 4*c - 14, 0 = 4*v - 2*v - q*c + 4. Solve 0 = 2*r + v + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i**2. Let z(g) = -g**3 + 11*g**2 - 10*g. Let l be z(10). Let p(n) = n - 1. Let s be p(l). Give m(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 171849 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**1)*f)**(-2)\/(f**(2\/7)*f*f**(-9)) assuming f is positive.\nAnswer: f**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, q: 15}. What is prob of picking 2 q and 1 a?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**2\/2 - i + 5. Let x(l) = l**2 - 4. Let s(g) = 4*p(g) - x(g). Factor s(z).\nAnswer: -z*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01236396 rounded to 4 dps?\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/((-164)\/(-123))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*j + 6358 = 414*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b - 2. Let c be o(7). Let y(j) = 2*j**2 - 16*j + 7. Let q be y(8). Suppose q*p + c = 9*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 254 + -252. What is the nearest to 0.1 in y, -1\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = f - 3*y - 10, 0 = -5*y - 10. Let d = -81 - -85. Put -9, -4, d, f in increasing order.\nAnswer: -9, -4, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*3 - sqrt(288))*1 + ((sqrt(144)\/sqrt(6))\/sqrt(4))\/sqrt(3).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*a + 9 + 4 - 4 - 592*a - 7.\nAnswer: 99*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.7, 0.3, 46, -6, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 898 - 456 - 442 + 864*g as n + q*g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 68?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpssdjspspju. What is prob of picking 1 d, 1 s, and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -476*z**3 - 964.\nAnswer: -1428*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -25\/8 (c) 5\/4 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 9*z + 25. Let s be d(11). Let x be 2\/(3\/18*s). Suppose 10 = 2*y - 3*i, -3*y - 2*i = -y. Calculate the highest common divisor of x and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251610078 to the nearest integer?\nAnswer: 15862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 12:59 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14265, -29227, -44193, -59163?\n\"Answer: -2*t**2 - 14956*t + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/15 and 39\/6935290.\nAnswer: 20805870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21470548 is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -36. Calculate the greatest common divisor of a and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/15 + 852*c**2\/5 + 578782*c\/15 - 389268\/5 = 0. What is c?\nAnswer: -983, -297, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.036 + -2.736. Let j = v - -2.4. What is the biggest value in 2, 1, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b + 5. Let l(j) = j**2 + 19*j + 19. Let m be l(-20). Suppose 3*w + m = 51. Determine z(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -56*g**3 + 4*g - 1. Is m(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Let c = -453 - -456. Let f be (-5 + (-6)\/(-1))*-1 + c. What is the closest to j in 0.1, f, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 17. Solve 4*f + z = 6*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*d**5 + 9*d**5 + 9*d**5 + (-4*d**3 - 4*d**3 + 6*d**3)*(3 - 3 - d**2) - d**5 + 0*d**5 + 3*d**5 + (d**5 - d**5 - 2*d**5)*(2 + 1 - 4).\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 4*m**2 + 4. Let c be a(4). Suppose 0 = -0*d + 4*d - 5*i + 4, -5*d + c*i + 4 = 0. Suppose -3*p = -p + 6, -23 = -2*q + 5*p. Is q > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (19 - (-1568)\/(-80))\/((-2)\/10). Suppose -4*c = c. Solve l*q + q = c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 + 48*n**4 - 371280*n**3 + 77787127*n**2 wrt n.\nAnswer: 120*n**2 + 1152*n - 2227680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -0.3 (b) 3 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.16 from 15559.17.\nAnswer: 15559.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2 - 7 - 2)\/(-1). Let h be 72\/15 - (-16)\/(-20). Put q, 1, h, -5 in descending order.\nAnswer: q, h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2.2. Sort 2\/3, 0, f in decreasing order.\nAnswer: 2\/3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 12 = 6*m, 5*o - 13 = -2*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 + -100. Which is the nearest to -3? (a) x (b) -5\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 465.646g?\nAnswer: 465646000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.118 (c) 0 (d) -3 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40591314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oonn when four letters picked without replacement from oonno?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -337 - -1?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 4*h = -14*l - 6105, 0 = -5*l + 3*h + 6100. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8698, 8885, 9074, 9265?\n\"Answer: g**2 + 184*g + 8513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*s**3 + 12*s**3 - 6*s**3 + 4*s - 5*s**3 + s**2 in the form t*s**3 + m*s**2 + o + h*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = -24*v + 76 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9777\/9*42\/14.\nAnswer: 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1343 * -0.4\nAnswer: -0.05372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 4*t**2 - t**2)*((-1 + t + 1)*(1 - 1 + 6) - 1 + 1 + 2*t).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 205 = -5*o, -6*o + 4 = -4*o. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/3 - 35*x\/3 + 22 = 0. What is x?\nAnswer: 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 - 89 - 29*i**2 + 14*i**2 + 10*i**2 to s*i + a*i**2 + n and give n.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b53 + 1b2?\nAnswer: 7d05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.02 + -0.02. Let h = -1.1 - -1. Let q = 100.094 - 100.594. Which is the nearest to h? (a) -0.03 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -99*t + 36. Suppose 5*q - 15 = l, -3*l - 2*q - 9 = q. Let z(s) = 14*s - 5. Determine l*u(n) - 36*z(n).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13870621 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 - -144.33\nAnswer: 144.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 32*k - 75327. Calculate the highest common factor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*i + 10 = -634*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 706 - 418. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*h**3\/8 + 47799*h**2\/4 + 7075519*h\/2 + 7027801.\nAnswer: (h + 2)*(9*h + 5302)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 + -1.09. Let l = 1.8 - 2. Put -3, l, q in ascending order.\nAnswer: -3, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -534*i**5 - 226*i**3 - i**2 - 4026271*i.\nAnswer: -10680*i**3 - 1356*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 27. Let p be m(13). Suppose 6*f - 2*f + 4 = 0. Let d be 8\/(-6)*f\/6. Sort 4, p, d in descending order.\nAnswer: 4, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98568\/5 - 99456\/5*o - 2\/5*o**3 - 178*o**2.\nAnswer: -2*(o + 1)*(o + 222)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38*(0 + (-30)\/(-3)). Suppose 0*a = 3*a - g - w, 5*g = a - 122. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -0.418328.\nAnswer: -0.378328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 616 and 2552?\nAnswer: 17864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 + p + 2. Let l(d) = 13*d**2 + 3*d + 5. Let q(w) = 9*w - 167. Let t be q(18). What is t*r(a) + 2*l(a)?\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 5, -15443 in ascending order.\nAnswer: -15443, -51, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-269*v + 122*v + 123*v)*(-v + v + 2*v**3) + 2*v**4 + 0*v**4 + 0*v**4 + (2*v - 2*v**3 - 2*v)*(0 + 0 - v))*(8*v - 288*v + 45*v - 161*v).\nAnswer: 17424*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46)\/115*15\/(-2). Solve -2*n - q*n = -25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*t - 4284 = 99*t. Does 31 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393009 is divided by 490.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-5))\/(5\/(-25)). Suppose -15 = d*j - 2*j. Put 2, j, -2\/11 in increasing order.\nAnswer: j, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 - 203 = -4*u + 960. What is the least common multiple of u and 189?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/48574 and 121\/18.\nAnswer: 437166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29 + (-4 - 0)*1. Suppose -z - n + 83 = 0, z + 5*n - d = 38. Let b = -5 + z. What are the prime factors of b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/7614972 and 53\/16929.\nAnswer: 83764692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -14. Suppose 2*c = r - 0 + 2, -5*c = -3*r - 3. Calculate the highest common divisor of u and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113001021000 (base 4) in base 9?\nAnswer: 12316056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1532045 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.55 + -31.05. What is the nearest to -1\/3 in h, 3, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 28. Solve -4 = 2*i - z*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-l + l + l)*(-5*l - 2*l + 4*l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 11:52 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 16, -5, 82, 25 in decreasing order.\nAnswer: 82, 25, 16, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by 24.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2012 (base 3) to base 9\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 6 + 2)*(-2*q - 1 + 1 + 4*q - 2*q + 3*q + (-3*q + 5*q + 0*q)*(-1 - 1 + 0)) to v + a*q and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p**3 - 13*p**2 - 16*p - 16 + 28*p**2 - 2*p**3 - 11*p**2 = 0 for p.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -126. Suppose 781 = 5*r + 171. Let u = a + r. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2935?\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 6*m + 3. Calculate the smallest common multiple of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3283001 divided by 3283001?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(15)*2*6*4)\/(-1*-1*sqrt(245)).\nAnswer: 2 + 48*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4063491 - -4063444.9999954. Let s = p + 46. Round s to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.9979 + 18. What is j rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:40 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*d + a - 63, 3*d - 3*a = -57. Let w = d - -32. Let s = w + -8. Calculate the remainder when 25 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -9, -35, -69, -111?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g = -130*g + 74*g - 130. Calculate the remainder when 4\/(2\/1) - -34 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 54742*c\/5 + 54744\/5.\nAnswer: -2*(c - 27372)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 - 228766*t + 13083470689 = 0. What is t?\nAnswer: 114383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 72655020, -1 in decreasing order.\nAnswer: 72655020, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -41*j**4 + 22*j**3 + 55*j**2 - 72*j - 12. Let c(h) = -48*h**4 + 23*h**3 + 55*h**2 - 72*h - 14. Let g(t) = 6*c(t) - 7*v(t). Factor g(r).\nAnswer: -r*(r - 1)*(r + 8)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 1. Let u be p(0). Let o(w) = 25*w**2. Let g be o(1). Let f = g + -21. Sort -5, u, f.\nAnswer: -5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/15 of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205777112 and 40.\nAnswer: 1028885560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10606901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2078489 by -296927.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 19 = -3*z - 156, 2 = 2*z. Let n = -42 - -33. Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138698 is divided by 69303.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1831*r - 1828*r - 15*r**3 + r**2 + 3 to the form j*r + s*r**2 + u*r**3 + q and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 = p - 472 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*c + 5740, 3*c - 5*a - 1009 = 2437. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 - l**3 + 3*l**2 + (-1 + 4 - 2)*(-2*l + 2*l - l**3) - 3*l + 3*l - 3*l**3 - 2*l**2 + 2*l**2 - l**3 - 2*l**3 - l + l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3584881?\nAnswer: 503, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -4, -895.1, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 3*w + 8. Let c be t(-4). Let k = 52 - c. What is the remainder when 115 is divided by k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1455441*l - 2910539*l + 1455315*l.\nAnswer: 217*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-10))\/(1\/(-6)). Let k(i) be the second derivative of 0*i**6 + 1\/100*i**5 - 1\/210*i**7 + 0*i**2 - i + 0 + 0*i**4 + 0*i**v. Factor k(f).\nAnswer: -f**3*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-3\/14)*d*d**(4\/5)\/d assuming d is positive.\nAnswer: d**(141\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563 = -2*k + 4*a + 2053, -5*k + 6556 = -2*a. Is (-2 - 1\/(-1))*(-3 - k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 60\/(-2 + 60\/18).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*s - 6, -i - 2*s = -3*i - 4. Let x(m) = 3*m + 5. Let a be x(-4). Let d be (i + (-4)\/a)\/((-4)\/(-14)). Solve -d*h = h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 978*q - 7937. Give x(8).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*g*p**3 + 2*g*p + 14*p**6 - 6*p**4 + 249*p**2 - 2*p wrt p?\nAnswer: 216*g + 1680*p**3 - 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74472683.52 rounded to the nearest one million?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 1439*z**4\/12 - 62*z**3\/3 + 990*z - 1. What is the second derivative of b(d) wrt d?\nAnswer: 2878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 52728*t**2 - 14292708*t - 961220592.\nAnswer: 3*(t - 17844)*(t + 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 3*l. Let y(c) be the first derivative of -1\/5*c**5 + 0*c**3 + 2 + 0*c + 0*c**2 + l*c**4 + 1\/6*c**6. Factor y(f).\nAnswer: f**4*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25.334256 and 0.5?\nAnswer: -12.667128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1*(-1)\/3). Let r be (4 - 8)*(4 + -2). Let f = t - r. Solve f*z - 9 = -3*a, 3*a - 3*z = -8 - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2579110 is divided by 1453.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15850*o + 31666*o - 15900*o. Let t(h) = -45*h**2 + 2*h. Determine q(t(z)).\nAnswer: 3780*z**2 - 168*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18 + (-1)\/(-1) + 3*1. Suppose d = 3*v - 2*v + k, -2*v - k + 39 = 0. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -515566 - 150?\nAnswer: -515736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 divided by -10?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 470814 (base 9) in base 8?\nAnswer: 1050240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 748*m - 114. List the prime factors of c(10).\nAnswer: 2, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 4, m: 1, v: 1, w: 1, i: 8}. What is prob of sequence iiw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59894, 477309, 1610286, 3816605, 7454046, 12880389, 20453414, 30530901?\n\"Answer: 59630*w**3 + w**2 + 2*w + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 - 6*m**2 - 47 + 45 + 3*m**2 + 4*m - 3*m**3 to c + f*m**3 + z*m + y*m**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 + 37*z**2 + 76*z - 4. Determine o(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*z - 151*z - 103*z + 20*z as o*z + f and give o.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. What is the nearest to i in 0.3, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-12 + 3))*(-4)\/(-10). Suppose 0 = -11*k - t*k + 312. What is the greatest common factor of 30 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 1, q: 4, u: 4, t: 5, y: 3}. What is prob of sequence yub?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 3*o + 98. Let a(w) = w + 35. Let l be a(o). Suppose l = 4*x - 2*m - 473, 4*x - 512 = -4*m. Does 25 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 761068, 761074, 761080, 761086, 761092?\nAnswer: 761098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-6 - -6)) + (15 - 13) + 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -100?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1799442158 and 1577.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2104785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 4*sqrt(21)\/sqrt(3) + -1)**2.\nAnswer: -10*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1159 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -1\/13, 2, -0.4, 0.09 in descending order.\nAnswer: 2, 0.9, 0.09, -1\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 2. Let g = -47 - -42. Let p(f) = -7*f - 3. Give g*j(y) + 2*p(y).\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -216559 and -216447 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 59 - 38306\nAnswer: -38247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**5\/20 + w**4\/2 - 13*w**3\/6 + 11*w**2\/2 + 30*w - 3. What is the remainder when o(5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*t = -2, 3 + 2 = 3*j + 5*t. Let r = -3 + j. Let x = r + 7. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1321, -1343, -1365, -1387, -1409, -1431?\n\"Answer: -22*v - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 521 - -399. Does 92 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 52*j - 1 - 345 = -146*j. Factor 16\/5*h + 2\/5*h**5 + 2\/5*h**j - 2\/5*h**4 + 8\/5 - 2*h**3.\nAnswer: 2*(h - 2)**2*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 2*z + 10. What are the prime factors of s(6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 73*d + 308. Calculate u(-68).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 3 + 3 - 3*t**2.\nAnswer: -3*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 181?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 653291803 a multiple of 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 5\/(-3))\/((-14)\/(-4200)). Let b = 223 - z. What is the remainder when 205 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 - 282*m**2 - 8811*m - 91476 = 0. Calculate m.\nAnswer: -33, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 1 - (-68 - -73).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/((-12)\/(-9)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 2 - 4)*(3 - 3 - 2*u) - 2*u + u + 2*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47794 is divided by 483?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -201.04+16.7\nAnswer: -184.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*2)\/((-2)\/3). Let c be 0*(-2)\/i*1. Suppose 2*y = -2*y - 8. Is y less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -22.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/11 (b) 198 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 16815*o. Let d(l) = 121*l + 8. Let u(m) = -15*m - 1. Let h(y) = d(y) + 8*u(y). Determine k(h(i)).\nAnswer: 16815*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 9*q**2 + 13*q - 17. Give t(-9).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -203 * -0.1\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {e: 3, y: 2, p: 6, i: 1, x: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2790 divided by 310.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3340510\/6969 - -12\/2323. Is i > -480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - k - 9 = -4*k, -4*q = -2*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130715151 is divided by 333.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.7 and -25?\nAnswer: -892.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*f, 5*m + f = -262 + 242. Which is the third biggest value? (a) 0.4 (b) m (c) 14 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1204 - -941. What is the highest common divisor of 12 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 2*t**2 - t + 1. Let s be r(-2). Let g = 22.6 + -23. What is the closest to 0.3 in 1\/2, g, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b8 - 1?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-6)*156\/(-65). What is the greatest common divisor of 588 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 14. Let t be 0*(1 - 16\/i) + 0. Suppose t = -11*s - 12*s + 2438. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2)**2 + -1 - (1 + sqrt(176))**2.\nAnswer: -8*sqrt(11) + 218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 862 and 2.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from rororooojjjrojj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 116\/(-40))*-1. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0740166 + -0.074. Round u to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 2 + 2 + (-2 + 5 - 1)*(0*j - 2*j + 0*j) - 2*j + 0*j + 0*j + 2 - 2 + 6*j - 4*j + 2*j + 4*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -69*c + 428. Calculate the smallest common multiple of 39 and x(6).\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 49 = -145. Calculate the remainder when b is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 9, -3*i + 0*i - 4 = -s. Put 4, 1, -4, s in ascending order.\nAnswer: s, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6446 + -6450. Which is the second biggest value? (a) -0.18 (b) p (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40990.118 + 40867. Let w = k + -0.482. Round w to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - n**2 - 4*n + 81. What is v(0)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 + -80. Let w = -75 + r. Let l = w - 20. Round l to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*u + 45, 3*u + 3*m = 2*m + 26. Calculate the lowest common multiple of 11 and u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -473a11 (base 11) to base 15\nAnswer: -ecbc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5414 = -2*h, -4*f + 7288 = -3*h + 1871. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 31, -4, 0.03 in increasing order.\nAnswer: -4, -1\/8, 0.03, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1612, 3222, 4832, 6442, 8052, 9662?\n\"Answer: 1610*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -88*y**3 + 15*y**2 - 11*y - 11. Let t(a) = 22*a**3 - 4*a**2 + 3*a + 3. Give 22*t(q) + 6*x(q).\nAnswer: -44*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0948292ml?\nAnswer: 0.0000948292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2764 + 41866926\nAnswer: 41864162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/20 and 44\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*d = -12, 4*k - 2*d - 14 + 2 = 0. Calculate the common denominator of (k\/4)\/((-6)\/207) and ((-3)\/16)\/(5\/(-84)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9177.\nAnswer: 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/14*-2*(-3)\/(-12). Let o be ((-4)\/54)\/((-1)\/(-5)). Let u = o - -136\/513. Which is the biggest value? (a) w (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4 - 15)*(-6 + 2 - 5)*(-2 + 0 + 4)*(12*q - 8 + 8).\nAnswer: 5832*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Suppose 0 = 7*z - 2*z. Let r = 78.8 - 79. Which is the second smallest value? (a) r (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 1639512?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-21)\/((a*a\/a**2*a)\/a) assuming a is positive.\nAnswer: a**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*r - 9. Is ((-2962)\/2)\/(r\/(-23)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1120\/2577? (a) -0.5 (b) 2 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11.59 - 0\nAnswer: -11.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 55 = -7*y + 11*y. Which is the third smallest value? (a) 1 (b) y (c) 17.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:43 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2178\/5 - 448. Suppose 3*t = -x - 19 - 4, -4*x - 5*t = 64. Is s at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 97*w + 168*w - 5 - 1449*w in the form z*w + o and give z.\nAnswer: -1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**4 - 3*u**3 - u**2 - 5*u. Let f(p) = p**4 + p**3 + p. Let z = 33 + -29. Let v be 10\/14 - (-4)\/14. Let j(h) = v*i(h) + z*f(h). Factor j(q).\nAnswer: q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -49*(-10)\/(-35)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*d**3 + 2 + 32*d + 2 - 6 + 0 wrt d.\nAnswer: -876*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -134673 + 23673. Let n be (3 - 0)\/(-6)*z. Suppose -4*i - i - n = 0. Round i to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*j - 11*j = -492. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from ooomoqooo.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 736207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.6876391 rounded to two decimal places?\nAnswer: 157.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.092 - -0.208. What is the fourth smallest value in -2, -5, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*2 - -5*sqrt(68)\/sqrt(4)) + 3)*-4.\nAnswer: -36*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, -9, 10 in descending order.\nAnswer: 10, 1, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969140092.\nAnswer: 2, 242285023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117790509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154573*c**2*m**4 - 2*c**2*m + 4*c**2 + 5*c*m**4 + 636566*m wrt m?\nAnswer: 1854876*c**2*m**2 + 60*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - -15. Let u = 57 - s. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13 + 7*r + 8*r - 2*r - 2*r. Let j be t(-15). Let w = j - -254. Calculate the greatest common divisor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a + 108 = 0. What is the remainder when a is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 154361365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 80. Let j(l) = -5*l**3 - 2*l**3 - 8*l**3 + 9*l**3 + 11*l + 17. Let a(y) = y**3 - 2*y - 3. Determine u*a(r) - 6*j(r).\nAnswer: 2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, b: 2}. What is prob of picking 1 o and 1 b?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.835442ml in litres?\nAnswer: 0.004835442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -39*z - 1169. Let c be a(-30). Put c, 3, 2, -5 in ascending order.\nAnswer: -5, c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1561, 6996, 16055, 28738, 45045, 64976, 88531?\nAnswer: 115710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775271 is divided by 2943.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -107*b**3 - 8*b**2 - 8*b + 5. Let f(x) = -106*x**3 - 7*x**2 - 7*x + 4. Let w(a) = 6*f(a) - 5*h(a). What is the hundreds digit of w(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 - 1. Let x be i(-2). Suppose 0 = v - 5*m - 1 - 6, m = v - x. Solve -4*j - 2 = 3*u - 0*j, j - 5 = v*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -137159 (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 7. Let u(h) = -2*h - 6. Let j be (-10)\/3*(-1 + -2). Suppose 0*w = -2*w - j. What is w*u(n) - 4*d(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 923 - 2?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 70 + 110. Solve -v - 35 = -2*d + 4*v, d - v = w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 at least as big as -190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a + 44*a + 184 = 0. Suppose i + 5*z = -11, 3*i + 3*z = 11 + 16. What is the least common multiple of a and i?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 + -319. Which is greater: -147 or l?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(((-7)\/7100)\/(-7)). What is g rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44354*l**2 - 53171.\nAnswer: -88708*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + 1 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-5)*3\/5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 4699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 + 2397176*i**4 - 14382964*i**3 + 31163024*i**2 - 28765840*i + 9588608 = 0. Calculate i.\nAnswer: 1, 2, 599288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 2157 (c) -2 (d) -3 (e) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g - 8*f + 3*f, -5*f + 5 = 0. Solve g*t = t + 3*l - 7, -15 = -3*t - 3*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*r**2 + 65*r**2 - 35*r**2 - 3*r as w*r + u*r**2 + c and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**6\/150 + k**5\/20 + 3*k**4\/20 + 7*k**3\/30 + k**2\/5 - 17*k. Let y(v) = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/14)\/(-3 + 27\/12). What is the common denominator of i\/((-64)\/(-46) + -4) and -29\/21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 1 + 40 + (0 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 1361576 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*b**5 + 9*b - 35?\nAnswer: -1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68554, 67490, 66426?\nAnswer: 65362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78999 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2508 + -2510. Let p = 72601\/113145 + -222\/1985. Let j = p + 4\/57. What is the closest to -0.1 in 0.1, c, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) -2\/13 (c) 0.203 (d) -5 (e) -0.4 (f) -3 (g) -5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 0.026\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12244, -24486, -36728, -48970, -61212, -73454?\n\"Answer: -12242*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3349354 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53\/367? (a) -1\/3 (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -175*w**3 + 25*w. Let y(z) = 29*z**3 - 4*z. Calculate 4*v(a) + 25*y(a).\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*o + 5*o. Solve 2*n + o*j = -18, 2*n - 6*n = -j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -21, -3, -5, -1, 0, 9 in descending order.\nAnswer: 9, 0, -1, -3, -5, -21, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 29, -3 in ascending order.\nAnswer: -3, -2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (52 + (-35 - 7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/55 (b) -1\/2 (c) 1321\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000756401 rounded to seven dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 68. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958\/(-33)*(3 - 30).\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = 0, i + 29*x + 5 = 27*x. Suppose 2*j = -h - 2, 4*j + 0 + 4 = -h. Suppose h = -i*n + 3*n + 56. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 6*x - 9 + x**2 + 4*x**2 - 2*x**2 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 12*i + 6. Is u(-10) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332 - 280. Is a greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + j**4 + 2*j**2 + 5*j**4 + (j**3 + 0*j**3 + 0*j**3)*(0*j + 4*j - 2*j).\nAnswer: 7*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 10. Suppose x*p - 3*p + 3 = 0. Let k = p + -1. Solve -7 - 1 = k*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 + 1. Let g be j(-1). Suppose -p + 0 = -2. Suppose 0*w = p*w - 18. Solve -w = -5*v + g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3. Let z = -0.5 - w. Put z, -5, 2\/13 in decreasing order.\nAnswer: 2\/13, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1034 (base 5) to base 3.\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2616, 2608, 2600, 2592, 2584, 2576?\nAnswer: 2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7953240037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 756 and 4?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/60)\/1)\/((-68)\/(-102)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 10:29 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 8*u**2 + u - 9. Determine a(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94536.57 millennia to years.\nAnswer: 94536570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z - 16. Let v(m) = m - 3. Let p(u) = 2*r(u) - 11*v(u). Let o be p(4). Solve -12 = -o*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -6*(-4)\/12. Suppose -q = t - 2*t. Sort 1, t, -5.\nAnswer: -5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528601037 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.181, 7, 0, 2, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1001111011000010 (base 2) to base 9\nAnswer: -61667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 20. Let u be o(18). Find the second derivative of 27*g + 50*g**4 + 284*g**2 + 47*g - 284*g**u wrt g.\nAnswer: 600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.941 - -0.001. Let o = -0.06 + z. Let w = 44\/7 + -674\/105. Which is the closest to 0? (a) w (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4727*k**3 - 6*k**2 + 219*k - 8. Let i(u) = -4725*u**3 - 4*u**2 + 219*u - 8. Let n(r) = 3*i(r) - 2*y(r). What is the second derivative of n(t) wrt t?\nAnswer: -28326*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqgymq. What is prob of sequence qhgy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 62654490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*p + 261*p = -25402. What are the prime factors of p?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 5934?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/30 and -4 - 4\/(132\/(-185))?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2)**(-1\/13)\/((x*x**13)\/x**(-13)) assuming x is positive.\nAnswer: x**(-350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19088420\/24039 + -432\/2671. Let p = f + 792. What is the common denominator of 40\/31 and p?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 56620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3574*r**2 + 37*r - 68. Is g(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011011 - -1011000100?\nAnswer: -10011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*g - 4*g = 126, -2*g + 69 = -b. Let n = b - -120. Let r = -35 + n. Solve 4*w = -0*w + r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 15.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.4394139 and 0.3.\nAnswer: 5.7394139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 9*g**2 + 9*g - 10. Suppose -4*v + 2*k - 24 - 2 = 0, -4*v - 32 = 4*k. What is the tens digit of a(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.93 - 0.98. Which is the third biggest value? (a) v (b) -8\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**6\/120 + h**5\/16 - 7*h**4\/48 + h**3\/8 + h. Suppose l(z) = 0. What is z?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0 (c) 33 (d) 3 (e) 7 (f) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586056736 a multiple of 1504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, l: 2, o: 12, b: 1, x: 2}. What is prob of picking 1 m, 1 o, and 2 x?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 15*d**2 - 10*d - 60. Let m be x(-15). What is the highest common divisor of m and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - ((14 - 4) + -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 391*b**2. Let u(m) = -480*m**2. Calculate u(p(i)).\nAnswer: -73382880*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3 - 4*p - 54 - 17 - 2*p. Let f be l(-12). What is the closest to f in 2, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/29)\/((-672)\/(-224))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f - 21. Let y be a(-7). Suppose -y + 45 = 2*r - 5*h, -5*h = -r + 28. Is r\/((-9)\/(-6693)) + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 760188 take away -137160516?\nAnswer: 137920704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -196079 times -0.2\nAnswer: 39215.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0168 - 268.9832. Let l = 268 + d. Which is bigger: -48 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.37 - 0.87. Let g = -3 - -3.8. Let w = 0 + g. Put -2, w, p in decreasing order.\nAnswer: w, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 114\/(-15) + 20\/(-50). Let u be (-24)\/(-4) + i\/2. Solve u*x + x = 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/16)\/((-1)\/2). Is (w\/(-2))\/(2\/(-68)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 + 39 + 110)*(s + 3*s - s) - 2*s - s + 5*s.\nAnswer: 689*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16176.54402 nanoseconds to weeks.\nAnswer: 0.00000000002674693125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:16 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 183706065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -65*(-12)\/30. What is the highest common factor of 21 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2881 * 4\nAnswer: 11524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21513 and 11.\nAnswer: 236643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwwwwwnwwww. Give prob of picking 1 n and 1 w.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Let r = -2.1 + d. Which is the nearest to -1? (a) -4 (b) -1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p - a, 23 + 2 = -5*p + 5*a. Let q = 0 + p. Is (-17)\/q*8\/2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-182\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6345323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12265168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33819 (base 10) in base 7?\nAnswer: 200412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1570 and 2186382.\nAnswer: 10931910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-864)\/72*1*(-1)\/52.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 255784, -5, -116 in descending order.\nAnswer: 255784, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.1717 to 1 decimal place.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -580*w**3 - 11. Let x(h) = 579*h**3 + 13. Calculate 7*s(z) + 6*x(z).\nAnswer: -586*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -237929 divided by -11?\nAnswer: 237929\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20138 - 210059477\/10431. Are -1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**4\/4 - c**3 - 3*c**2\/2 + c + 3. Let f be n(4). Sort -1, 2, f.\nAnswer: -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 14, 13\/2, -0.4, 0.23.\nAnswer: -0.4, 0, 0.23, 13\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 46 + 3*l**4)*(l + 7 - 7) + (-2*l**5 + 0*l**5 + 3*l**5)*(-8 + 7 + 12)*(-2 + 0 + 1).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1862.5791 months to years.\nAnswer: 155.214925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245756099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2 - 23*x + 38*x + 0*x**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7353 and 368847.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(156) - -5*sqrt(156))*2*2)\/(sqrt(12)*1*-6 + -6*sqrt(48)).\nAnswer: -4*sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 76.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*d**3\/17 - 98*d**2\/17 - 82*d\/17 - 22\/17.\nAnswer: -2*(d + 1)**2*(19*d + 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - x**2 - x - 1. Let t be (-15)\/10*(-12)\/(-9). Let f(q) = 2*q**3 + q**2 + q. Calculate t*u(b) - 2*f(b).\nAnswer: -2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 4 - 2)*(7*k**2 - 1 + 1) + 1 - 2*k**2 - 1)*(8*k + 3*k - 7*k) as a + d*k**2 + b*k + t*k**3 and give t.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 119908 + 1301?\nAnswer: 121209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/2685, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21407 - 21416. Which is bigger: -0.213 or o?\nAnswer: -0.213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*y + 4, 33*y - 37*y + 32 = -4*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*j)*(j + 2 - 2) - 25*j**2 - 15*j**2 - j**2.\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -5\/24*r**4 + 1\/6*r**3 + 0 + 0*r + 8*r**2. Give h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.92718ng to tonnes.\nAnswer: 0.00000000000004992718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -309362 and -2.59?\nAnswer: 801247.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19722 by 19.\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 107. Let h = b + -28. What is the first derivative of -35*y**3 + h + 19 + 9*y**3 wrt y?\nAnswer: -78*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + g - 9 + 15.\nAnswer: g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*v - 80355, -14 = 3*v - 29. What are the prime factors of u?\nAnswer: 5, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*i - 5098 + 27*i + 452*i + 5090 to h*i + j and give h.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 3:25 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**5\/10 - s**4\/6 + s**3\/6 - s**2 + s. Suppose -x - 2 = -0. Give m(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 126887, 507627, 1142217, 2030657, 3172947, 4569087?\n\"Answer: 126925*h**2 - 35*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6 and 40\/16*(-19)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 9*r + 3*r)*(-1 + 2 + 1)*(3*r + r - 5*r) in the form d*r + k + o*r**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g - 25 = 3*i, 20 = -4*g + 3*i. Let u be (-8)\/(-6) + (g - (-62)\/3). Suppose u*w = 12*w + 112000. What is w rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {z: 1, n: 1, t: 2, d: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -33*k + 2. Let j(g) = 5611*g - 341. Let v(l) = 682*h(l) + 4*j(l). Let y(o) = 3*o. Give v(y(w)).\nAnswer: -186*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffmm when four letters picked without replacement from {f: 3, m: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -280013 divided by 2?\nAnswer: -280013\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3760.1 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 8*g. Suppose g = 2*y - 28 - 30. Let b(t) = 3*t**2 + 2*t + 2. What is the remainder when y is divided by b(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.099, 3, -3\/5, 403?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.182 + 0.182. What is the nearest to 1 in -4, -0.3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107479133?\nAnswer: 97, 193, 112573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118613337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 1\/60*a**5 + 0 + 4*a + 0*a**3 - 7\/2*a**2 + 0*a**4. Let d(l) be the first derivative of j(l). Let n(x) = 5*x. Give n(d(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b0a (base 12) in base 15?\nAnswer: 3827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4496182*q**5\/15 + 72144844*q**4\/15 - 23580262*q**3\/5 + 627860*q**2\/3 - 47416*q\/15 + 16 = 0.\nAnswer: 2\/131, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 1. Let a be f(-4). Let j = 7 - 13. Let v(s) = -4*s**2 + 5*s - 3. Let h(y) = 5*y**2 - 6*y + 4. Determine a*h(p) + j*v(p).\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -u + 3. Calculate the remainder when 10 is divided by 80\/50 + u\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2*a - 6*a + 4)*(7 - 4 - 35 - 21).\nAnswer: 212*a + 212","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 6*g**2 + (0 + 3 - 5)*(0*g**2 + 3*g**2 - g**2) + (-5*g + 4*g + 0*g)*(0*g + g + g) to the form o + i*g + j*g**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20832 is divided by 92?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 21*j.\nAnswer: j*(j - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3\/4 - 226689*w**2\/4 - 1360107*w\/4 - 2040147\/4 = 0.\nAnswer: -226683, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + 101242?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52599 divided by 197.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 889833.31 from 0.7019.\nAnswer: -889832.6081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25058 and 178274002.\nAnswer: 2278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 1 - 7*6\/(-42). Solve -4*o = -2*q, 3*o - h = -3*q - 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 0 + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*9\/(-9))\/((-2)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104665 (base 10) to base 14.\nAnswer: 2a201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-2))\/(-2 - -3). Let k be r\/(-5) + (-8)\/10. Let m be (-18)\/(-81) + ((-122)\/(-18) - 2). Put k, 4, m in decreasing order.\nAnswer: m, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5492995391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 487.6132ml?\nAnswer: 0.4876132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41, 80, 119?\n\"Answer: 39*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 13*o**2 + 2*o - 1. Let i be g(1). Calculate the greatest common factor of 910 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 divided by -5408008?\nAnswer: -51\/1352002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-18)\/(-216)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.24 - -0.04. Let i = 0.6 - 0.5. Which is the third smallest value? (a) i (b) l (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/5)\/((p*p**(-6))\/p)*p*p\/p**11*(p*p**(-2)*p*p)\/p assuming p is positive.\nAnswer: p**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12 (b) 2\/7 (c) -213\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -0.35, 2, 5, 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + -23 + 154 + -145\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 9:07 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 + 3*b + 5 + 7 - 7 - 7*b**2 as t*b + y*b**2 + c and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4216 - -21076\/5. What is the closest to w in -5, -4\/9, 1\/6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2)*(-3)\/6. What is the smallest value in -3, a, -7\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, w: 1, d: 1, q: 1, o: 1, n: 1}. Give prob of sequence dwq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2587 in increasing order.\nAnswer: -3, 0, 2587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*p**3 - 62*p**3 + 107*p**3 - 1 - 1 as q + n*p**2 + s*p + m*p**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d79 + 3?\nAnswer: -4d76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12223649.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*u + m - 3, 3*u - 11 = -m. Find the common denominator of u + -3 + 594\/(-60) and 8\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*u + 24*u - 26*u**2 + 45*u**2 - 16*u**2 as o*u**2 + t*u + a and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.052 (b) -3\/4 (c) 0.01 (d) -4 (e) 10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 50, 11, -5, -4, -17, -3 in decreasing order.\nAnswer: 50, 12, 11, -3, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n + 77*n - 324*n = 204*n + 26730 for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59\/5 of a gram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/170 and -20\/125477.\nAnswer: 1254770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, t: 2, w: 3, o: 2}. What is prob of sequence owll?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (2 + sqrt(468) + 1) - sqrt(468)) + 4 + -1 - (sqrt(468) + 4*(sqrt(468) + 0))*3*-4)**2.\nAnswer: 1629108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7839301?\nAnswer: 37, 211873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from iqigiiiiiqiiiqi?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**2. Let j be ((-12)\/(-15))\/4 - 199\/(-5). Let f(u) be the second derivative of j*u - 10*u - 3*u - u**3. Calculate v(f(k)).\nAnswer: -216*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 155 - 0?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from tgqtqttttt?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 93, 34686, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1469 + 3453. Is 64 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 + 105. Let t(g) = -6*g**2 - 4*g - 1. Let f be t(-3). Let a = f - z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tll when three letters picked without replacement from {t: 2, z: 3, l: 2, s: 5}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22264 + 35?\nAnswer: 22321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**3 + d**3 + 2*d**3)*(-2 + 0 + 1) - d**3 - 2*d**3 + 5*d**3 to z*d**3 + l*d + m*d**2 + k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.595 rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 1, g: 1, h: 2, i: 2}. What is prob of sequence mh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 + 11\/(-33). Suppose z = -2*i + 163, n = i + 2*z + z - 94. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*q - 40*q = -3611 + 692 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6598*i + 237571. What is g(36)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2343 = -10*n + 5*n - 2*j, 0 = 3*n + j + 1406. Let g = 469 + n. Suppose -3 = -4*u + 3*u. Solve u = -3*x - g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*n**4 - 67*n**2*w + 5*w - 588 wrt n.\nAnswer: -164*n**3 - 134*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2394518, -2394482, -2394450, -2394422?\n\"Answer: -2*z**2 + 42*z - 2394558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -26, -1\/8, 12141?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/12 - -1\/3. What is the common denominator of (-306)\/80 - ((-7)\/28)\/(10\/(-32)) and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 36\/(-20)) + 1\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*a = -37*a + 196 + 180 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5 = o, 3*o + 60*s - 55*s + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 2 - (-1 + 6). Let u(c) = -c - 6. Let r be u(f). Let w(o) = -3*o**2 + 1. Calculate w(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 = -4*n + 12, 6 = -w - 3*n. What is the units digit of (-17 + w + -3)*-12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**35*u)\/((u\/(((u*u*u**(-9)\/u*u*u)\/u)\/u))\/u)*u*u**(-6\/25)*u*u*u**(-4\/19) assuming u is positive.\nAnswer: u**(15461\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 837, 815, 777, 723, 653, 567?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -113*w**5 + w**4\/4 + w**2 + 506*w - 894. What is the second derivative of z(r) wrt r?\nAnswer: -6780*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23744 * -0.2\nAnswer: -4748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-42) - 102\/238\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/30*25)\/((-10)\/(-40)*-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 34 = 2. Factor 978 - 24*c - 978 + 40*c**2 - 6*c**3 - 4*c**4 + 2*c**5 - r*c**3.\nAnswer: 2*c*(c - 2)**2*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4047*m = -4039*m - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + z + 5 = -d, 3*d + 2*z = 18. Let x = 0.23 - -0.07. Which is the second smallest value? (a) x (b) -1\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1345*k + 60467 = -33683 for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -47. Which is the second smallest value? (a) -2 (b) -0.006 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/12359478 and 67\/220?\nAnswer: 1359542580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-20) - 0)*1*(-12)\/36?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11859.489us in minutes?\nAnswer: 0.00019765815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 11681.79 (c) 2\/19 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 4. Let y be b(7). Suppose 2*k - 10 = y*u - 29, -2*u + k + 13 = 0. Let j be u\/(14\/10599996) - -2. Round j to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s**1\/s*(s**(-1\/3))**(-49))**(2\/11) assuming s is positive.\nAnswer: s**(80\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + n**2 - 3*n - 3. Let u be f(-3). Let x be 14\/6 - (32\/u)\/(-8). Solve 0 = x*p - 5*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3689007 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1177*c**2 + 4*c + 1150*c**2 - 4*c + 1347*c**2.\nAnswer: 1320*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9 - 3 = 0. Suppose -f - 20 = -h*f. Solve 3*a + f = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7182 divided by 42?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -29*t**2 + 0*t - 6\/7*t**3 - 1\/280*t**6 + 1\/140*t**5 + 1\/7*t**4 + 0. Solve j(m) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -1\/3, 784, -0.3 in descending order.\nAnswer: 784, 2, -0.3, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h*o**4 - 554*h*o**2 + 3275*h*o - 7*o wrt o?\nAnswer: 108*h*o**2 - 1108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 5*k + 3*c, 16 = 2*k - 5*c - 63. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/11 - 3\/44. Let s = 0 + -0.5. Let m = s + 5.5. Which is the second biggest value? (a) m (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -214 at most -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-495)\/(-30)*3\/(-9))\/(1\/(-120)) and 540?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1452974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5083 = 709*b + 334 + 3800 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/10 + ((-15)\/25)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 634 + 962 = 0. Suppose -h = -3*v + 41*a - 46*a, -2*v - 2*a = -56. Calculate the remainder when 165 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 28 = m. Suppose 0 + 12 = -4*l, -5*a - m*l + 1513 = 0. Suppose 5*h + 84 + a = -3*v, -h = -4*v + 64. Is -77 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 206 and 0.0172.\nAnswer: 206.0172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408948 is divided by 599.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7191126 and 3196056?\nAnswer: 28764504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5570, 5433, 5296, 5159, 5022, 4885?\nAnswer: 4748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 3. Let q(r) = r**3 + 6*r**2 + 4*r + 15. Suppose -3*z - 5*y - 4 = 24, -z = y + 8. Let s be q(z). Let b be m(s). Put 2, b, 0 in decreasing order.\nAnswer: 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49755*d**2*r**3 - 32*d*r**3 + 10*d*r**2 - 28*d*r wrt d?\nAnswer: -99510*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, j: 1, a: 1, i: 1, y: 2}. Give prob of picking 2 y, 1 a, and 1 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let s(h) be the second derivative of 7*h**3\/6 - 29*h. What is l(s(g))?\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3679*d*w - 3*d + 536 wrt w.\nAnswer: -3679*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 3\/4, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 46, 13, -2\/5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 - 57\/(-12). Let c(s) = s + s - q*s. Let d(a) be the third derivative of -a**5\/60 + a**2. What is d(c(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12267679573 less than -1405?\nAnswer: 12267678168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 5*z. Let i be s(4). Let n(d) = d - 4. Let t be n(3). Suppose 20 = -5*g - 5*u, -5*g - 18 = u + 2*u. Sort i, t, g in ascending order.\nAnswer: g, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, a: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + q + (0*q - q - 3*q)*(-3 - 3 + 5) + 0*q - 2*q + q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/21*27\/36*-4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 972 - 200. Suppose 5*o = 3*z - y, -4*z + 3*z + 5*o = -254. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466912498?\nAnswer: 2, 7, 23, 2687, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/11 + (-6)\/(-33). Let a be (m\/(-4))\/((-3)\/(-120)). Calculate the greatest common factor of 30 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84370\/3171 bigger than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -48*u + 3*u**3 - 56*u + 7 - 2*u**3 + 27 + 88*u - 12*u**2. Calculate q(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 73\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11314 - 3795 = -3*h + 12704. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3620746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + -3 - 1 - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/14 of a week in hours?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*v - j + 6, -4*j - 12 = 4*v. Let b(g) = -5*g**3 - 7*g**2 - 5*g - 6. Is 2 a factor of b(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -2*p**5\/15 + 11*p**4\/6 - 10*p**3 + 27*p**2 - 36*p - 305. Determine v, given that r(v) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.48433 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41\/19 + -707\/95. Let h = 46\/5 + i. What is the third biggest value in -3\/4, 0.053, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*s**2 + 16*s + 12*s**2 + 5*s + 9*s**3 - 4*s**2 + 6.\nAnswer: 3*(s + 1)**2*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 9)\/(1 - -1). Let b(q) = -7*q + 4 - d*q - 7*q. Let i be b(-4). What is the greatest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627418 at most 627418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-7)*(-504)\/(-144) + (0 - -1077). What is the greatest common divisor of 495 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d**3 + 24*d + 68*d**2 - 8 + 2 - 24. Let j(o) = 3*o**3 - 23*o**2 - 8*o + 10. Let t(b) = -7*j(b) - 2*q(b). What is the hundreds digit of t(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**3\/3 - 11*n**2 + 47*n + 8. Let d be y(-24). Let f = 0 + 4. Sort d, 2, f in increasing order.\nAnswer: d, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3 = m, 0*p - 4 = p + 5*m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -61\/55?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361*h + 1424*h + 1365*h - 5703*h + 1382*h.\nAnswer: -171*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 21*r**2 - 22*r - 25. Let p be q(-20). Let n be (8 - (2 - 1))\/(p\/165). What is the highest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 140\/(-2)*(-24)\/48. Solve -87*w**2 - 120*w - 45*w**4 - 95*w**3 + 192*w**2 + p*w**5 + 178 - 158 + 100*w**2 = 0 for w.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18985160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43916112.\nAnswer: 2, 3, 163, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 3\/260, 2, -0.3, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 580650 (base 12) in base 10?\nAnswer: 1410972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (532 - -3) + (2 - 0) + 3. Suppose 3*w = -3*w + t. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 1533 = -3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 - 13*p**4\/24 + 7*p**3\/2 - 8*p**2. Does 6 divide i(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 + 13)*2\/(-4). Suppose s + 3165 = -3*h + 4*s, 5*h + s + 5305 = u. What is h rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34, 13, 60?\n\"Answer: 47*i - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 + 0 = 0. Suppose 0 = -q*r - r + 84. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 - 15327*v**3 + 45987*v**2 - 45989*v + 15330 = 0.\nAnswer: -15330, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*d**5 + 263361*d**3 - 2*d + 51753557 wrt d.\nAnswer: -460*d**3 + 1580166*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + t - 4*t)*(1 + 0 - 8).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2646616.475+-0.17\nAnswer: 2646616.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 62024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270769?\nAnswer: 19, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1514*u - 2 + 419*u - 2867*u + 516*u to the form v*u + b and give v.\nAnswer: -3446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(539)*1.\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7221*w - 151650. What is g(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*f + 302*f = 13369 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*y + 63 + 78 + 99 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 1785?\nAnswer: 1785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1329, -2659, -3989?\nAnswer: -5319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*u - 39*u - 38*u + 47.\nAnswer: u + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 2*s + 23, -k + 67*s - 66*s + 1 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = -2*y, 2*y + 0*y - 14 = -2*g. Let x(r) = -r. Let a be x(-5). Suppose i = -2*c - a, -i - 2*c = -g*i. What is the smallest value in i, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 544\/(-12)*20832\/(-118048)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.3973 - -0.13?\nAnswer: 347.5273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 2131211?\nAnswer: -2131202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 193897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19247\/138060 - 2\/3835. Find the common denominator of l and 31\/348.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-2) - -37*24\/(-6). Let t = v + 729\/5. Solve -t*w**2 + 6\/5*w + 0 = 0 for w.\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36468.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9)\/x)\/(x*x**16)*(x\/(x\/x**(5\/11)))\/(x**(-1\/40)*x))**(-2\/19) assuming x is positive.\nAnswer: x**(12109\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10554 = -187*p + 23457 for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5551 + 5550.57148. What is c rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9655 is divided by 2510?\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 1. Let q be a(3). Let y be (q + 1)*(0 - -1). Suppose 4*k - 209 = -w + 76, -360 = -y*k - 5*w. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66895\/16744 + 100\/299. Is p < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2287789235 or 0?\nAnswer: -2\/2287789235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-13 - -6) + -7 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655292 = -320*g + 282*g - 213808. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3614 * 597\nAnswer: -2157558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 5317 - 21*g + 5453. Let l be s(6). Put l, 5, -2\/7, -20 in increasing order.\nAnswer: -20, -2\/7, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 5*h**2 + 3*h**2 + (-3*h**2 + 11*h**2 + 25*h**2)*((2 + 0 - 3)*(1 - 4 - 1) + (3 - 6 + 2)*(2 + 1 - 5)) to the form b + m*h**2 + g*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(3 - 1)\/(-7 + 19).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4192500 to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/4)\/n)*n)**(-48)\/(n**6\/((n*n**(2\/3)*n)\/n)))**(-37) assuming n is positive.\nAnswer: n**(17797\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*l + a, -5*a + 6 = -l - 2*l. Solve l*m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2912 = 43\/3854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 4*x + 4. Calculate d(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -27.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8225133.44 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 423239, 846476, 1269713, 1692950, 2116187, 2539424?\nAnswer: 2962661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -3.05. Let r = 1.2 - -1.3. Let x = k - r. What is the biggest value in -1\/9, x, -1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 1:18 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -5*z**4\/2 + 1415*z**3\/6 - 235*z**2\/2 - 2*z - 64. Factor n(j).\nAnswer: -5*(j - 47)*(6*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8515*b**3*c + 2*b**3*i - 20*b**2*c*i**3 - 3*b**2*i**2 + 67605*b**2*i + 2*i**3 wrt c?\nAnswer: -8515*b**3 - 20*b**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**7\/231 - 7*x**6\/660 + 83*x**5\/330 - 41*x**4\/132 - 10*x**3\/11 - 2028*x**2. Determine z so that h(z) = 0.\nAnswer: -5, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 + b**3 + 4*b + 5*b**2 - 2*b - 3*b**2 in the form r*b**3 + m + y*b**2 + a*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 5685*f**2 - 40010*f + 34320.\nAnswer: 5*(f - 6)*(f - 1)*(f + 1144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -93*t**2 + t. Let g(k) be the second derivative of k**3\/6 - 2*k + 45. Determine n(g(j)).\nAnswer: -93*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 361 - 86*p**2 + 468*p**2 - 381*p**2 + 13*p**3 in the form m + g*p**3 + n*p + h*p**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1111, -1414, -2, -3 in decreasing order.\nAnswer: 3, -2, -3, -1111, -1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:17 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/100 and 61\/632.\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6220.358 litres to millilitres.\nAnswer: 6220358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**2 - 2*o**3 + 1 + 2 - 4*o - 3*o**2. Let g be 1\/3 - 118\/(-6). Let l be 4\/6 + g\/15. Determine z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12706.7 + 12707. Which is the fifth biggest value? (a) -2\/215 (b) q (c) 0.4 (d) 1\/4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -ba86?\nAnswer: ba83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 307411 smaller than 307412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 109*s - 11958 - 7126 = -440*s for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 343.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -62\/5 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4 - 5*v**3 - 14*v**2 = 0. Calculate v.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Let s be 8\/44 - (-43)\/(-55). Which is greater: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3826*k**2 + 5*k + 2. Let s(l) = -3*l**2 - 5*l - 2. Calculate -q(n) - s(n).\nAnswer: 3829*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 20*r**2 - 22*r + 62. Let m be q(19). Suppose 4*z = 3 + 5. Let u be (z\/(-4))\/(8\/48). Which is the second biggest value? (a) -4 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168.999997279 - 169. What is p rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -1)*(-1)\/(-8)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, r: 2, s: 7}. What is prob of sequence sr?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 17. Calculate n(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2)\/1 + 0. Suppose -2*a = -d - 3. Solve -a*r + 0*r = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u*u\/(u\/(u\/u**(2\/3)*u))*u)*u\/(u*(u*(u*(u*u**(-5\/6))\/u*u)\/u)\/u)*(u*u*u**(-2\/7))\/(u**4\/u) assuming u is positive.\nAnswer: u**(-67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:59 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0113, 3, -1, 0.5 in increasing order.\nAnswer: -1, -0.0113, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/6))\/(d*d**(-3\/4)))**(-12) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-14) - 228\/(-266). Determine c, given that 4 + 12*c**2 - 28*c**3 - 80*c + 39*c**2 - 15*c**2 - 4*c**4 - 36 - 108*c**s = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**5\/20 + r**3\/6 - r**2\/2 + 19*r. Let n be l(1). Solve 2*o - 5*s = 10, 4*o + 3*s - n + 7 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(-2*sqrt(20)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 7*i**2 - 322*i - 399. What is w(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/6*11667\/(-9). Let t = -216 + a. What is the common denominator of t and 31\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7\/y**(-1))\/((y*(y\/(y\/y**(-2\/5)))\/y*y*y)\/y*y\/y**(1\/4)*y))\/(y*y\/(y*y**1*y*y*y)*y**(-5))**7 assuming y is positive.\nAnswer: y**(1233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 425, 535, 645?\n\"Answer: 110*w + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.053, -4, -1\/8, 55?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 2, i: 1, b: 7, l: 3, o: 1}. Give prob of sequence bo.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)\/(3 - 4737\/1578). Let n = 940 - j. What are the prime factors of n?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 93?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12946.52 rounded to the nearest 10?\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h**(-6\/7)*h*h**(-2\/3) assuming h is positive.\nAnswer: h**(52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 4*z**3 - z**3)*(2*z + 3 - 3 + (0 + 3 - 5)*(2*z + 1 - 1) - 4*z + 5*z - 4*z).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-7) - -1)\/(1102\/133 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 75\/(-270) - 2\/9. What is the third smallest value in -0.1, a, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 643, 2454, 5481, 9730, 15207, 21918, 29869?\n\"Answer: k**3 + 602*k**2 - 2*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 15189.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.3 (c) 2\/15 (d) 8.8 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87503 * -4.\nAnswer: 350012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 21 = 4*r + r, -5*r = 5*t - 30. Let h(j) = -j + 4*j**3 - 3*j**3 + 5 + r*j**2 + 5 - 6*j**2. Give h(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -101*d**2 - 6*d - 5. Let t be c(-2). Let w = 890 + t. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 617 divide 766314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7175\/246)\/(210\/900).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 + -103. Sort 0.4, 3, -8, v in ascending order.\nAnswer: -8, 0.4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 24 = -5*a. Suppose -3*l + k = -343, l + a*l - 4*k = 581. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482882001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4305944*b**5 - 3122325*b**2 + b.\nAnswer: -258356640*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/109060?\nAnswer: 1\/109060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 65 + 133 + 0*n + 186.\nAnswer: 3*n + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 + 4.8. Put -0.5, x, 9 in ascending order.\nAnswer: -0.5, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**5\/20 + 23*p**3\/3 + 53*p**2\/2 + p - 5. What is the derivative of t(i) wrt i?\nAnswer: -3*i**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 5*l + 1. Let f be i(2). Suppose f*x - 53 - 16 = 0. Suppose 2*q = -x - 27. Is -27 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20301 times -2.3?\nAnswer: 46692.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**2 - 5\/24*f**4 + 0 - 1\/30*f**5 - 1\/3*f**3 + 0*f. Let o(n) = -2*n**2 + 25*n + 10. Let h be o(13). Give t(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -143*n**2 + 77*n - 77. Let p(g) be the first derivative of 11*g**3\/3 - 3*g**2 + 6*g + 1508. What is -77*p(f) - 6*t(f)?\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/195 - 54\/(-13). Let t be 37\/v + (-2)\/8. Let c(i) = 4*i - 3. List the prime factors of c(t).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*t - 23 - 6, -2*v + 2*t - 2 = 0. Suppose 12400015 = -v*o + 3*s, -5*s - 9299975 = -3*o + 6*o. What is o rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (12 - -12) - (98 - 9)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + t + 24, 3*k - k + 3*t = 13. What is the remainder when k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 12 + 44 = 0. What is the smallest common multiple of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, c: 4, d: 9}. What is prob of sequence wd?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.415804 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27654404 divided by 4.\nAnswer: 6913601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whww when four letters picked without replacement from wvdhdnvwvhhhdevnw?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 23*i**2 - 129*i + 218. Is x(9) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 10*v + 6. Let h be k(4). Let n be 5\/(-30) - -1*59\/(-78). Which is bigger: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5203.645876 to 1 dp.\nAnswer: 5203.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 11*k + 4. Let w(f) = 318*f + 127. Let l(m) = 9856*m + 3938. Let q(a) = -6*l(a) + 187*w(a). What is -4*q(h) + 121*u(h)?\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 824 - 458. What is the greatest common factor of 2806 and o?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {q: 1, s: 1, t: 2, n: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -80948 < -80948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 24. Let d(c) = -c**3 - 2*c**2 + 2*c - 1. Let z be d(t). Let i(o) = -o**2 + 4*o. Calculate i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -59, -4 in increasing order.\nAnswer: -59, -4, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 5. Let t = 5753\/8 - 717. Calculate the common denominator of w\/(-4) + 62\/72 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-35)\/(-10) - (1 - 4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 2\/79287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 2*d**2 - 4*d**2)*((-6*d - 2 + 2)*(3*d**2 + 0*d**2 - 2*d**2) - 5*d**3 - 8*d**3 + 3*d**3 - 2*d + 6*d**3 + 2*d).\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28 - (-410)\/15)\/((-89)\/(-375)). Is o at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 16*g - 5. Let p(v) = -4*v + 1768. What is p(m(d))?\nAnswer: -64*d + 1788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 + 2)) + 106 + -101\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 849555350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.32709 and -0.11.\nAnswer: -0.43709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7553960257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 3875 = -3883 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463502889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 579 + -584 + 2\/70794*176983. Is x bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3 = -t. Let z = t - -6. Find the second derivative of 0*i**4 - 6*i**4 + z*i**4 - 5*i wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 + 16\/(-15). What is the second smallest value in x, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 48. Suppose 5*o + 5*r - 110 = 0, -3*o - h*r = -5*r - 54. Suppose -17*z + o*z = 186. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718 + 1750 = 16*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (2281*(-6 - -7))\/(5\/25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -c?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.8 + -7.1. Let m = 0.1 + 0. Let u = m + -0.1. What is the second biggest value in s, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2897 = -202*c + 20673 for c.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 2:10 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**4 + 140*h**3 - 576*h**2 - 720*h = 0.\nAnswer: -1, 0, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10681025?\nAnswer: 5, 427241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317 by 58430.\nAnswer: -317\/58430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 33*k + 1216. Let p be b(55). What is the greatest common factor of p and 1348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101 - -10?\nAnswer: 101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*r**5\/11 - 54*r**4 - 5732*r**3\/11 + 53854*r**2\/11 - 59016*r\/11 + 11480\/11 = 0. Calculate r.\nAnswer: -14, 1\/4, 1, 5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(22\/803 + 2506\/(-54166))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121473.\nAnswer: 3, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6092.000013838 + -6092. What is x rounded to seven decimal places?\nAnswer: 0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - ((61 - 59) + -21)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 8. Let h(n) = 5*n + 7. Let y(k) = -6*d(k) + 5*h(k). Let a be y(16). Suppose -a*t + 136 = -125. Calculate the highest common factor of 58 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16 - 6) + -32 - (-7 + 2)) + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/79650 and 119\/6600?\nAnswer: 3504600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 2*r**2 - r - 1. Determine l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/11, -3, 26, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 4 - 7 - 8) + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from jnjnvnjjjjjjjnvjvj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*h - 7705 - 7703 + 23117 - 7706 + 65*h + 17*h.\nAnswer: 126*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -0*o - t, 20 = 5*t. Suppose 2*q = -2*s + 10, s = -0*s + o*q - 3. Suppose s*f - 105 = -93. Solve -4*m + 16 = -f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6 - (-9)\/6. Suppose 161 = 2*h - 3*y, o*h = 3*y - 6*y + 131. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a hour?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/5 + 102*j**3\/5 - 778*j**2\/5 + 882*j\/5 + 1764\/5 = 0.\nAnswer: -1, 3, 7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(sqrt(152) - (sqrt(152) - (sqrt(152) - (sqrt(152) - (-3*5*sqrt(152) + sqrt(152)))) - sqrt(152))))\/((-5*1*sqrt(88))\/(2*sqrt(1584))).\nAnswer: -3744*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8076457, 16152913, 24229369, 32305825, 40382281, 48458737?\n\"Answer: 8076456*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1263 and 11584.\nAnswer: 14630592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Let u = -3 + l. What is the second derivative of 4*n**5 + 5*n**5 - u*n - 4*n**5 + 0*n**5 wrt n?\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-1 - 2) + 10 + -10 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84493 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 - 3*v + 1. Give i(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 304437 and -8892145.\nAnswer: -8587708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 8) to base 2\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92770, -92363, -91954, -91543, -91130?\nAnswer: -90715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.3, 0.5, 0, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 227 = -29. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10980\/(-2745) + (-9)\/(-2)*4\/(-2). Which is bigger: y or -57?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 31863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433*h + 8 = -432*h. Solve 4*q - 4 = h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.65 + -11.55. Which is the nearest to u? (a) 1\/7 (b) 0.4 (c) 1\/14 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l. Let c(v) be the first derivative of -v**3 - 18. Determine c(g(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38191\/(-1899) + 1\/9 - 12?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2)*32\/112?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042451 take away 1769?\nAnswer: -1769.0042451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*p + 20, 4*f + 0*f - 23 = -p. Let l = 757\/50 + 84\/25. What is the common denominator of l and 13\/f + 8\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 223 = 4*p, -3*p + 293 = 4*f - 4*p. Suppose 0 = 3*i + 10 - f. Calculate the lowest common multiple of 3 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 74, 82, 92, 104, 118?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1572 - 1438.4. What is i rounded to zero dps?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 9:43 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/488?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -13405 less than -120634\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12 = 0, -3*n + n - h = -6. Suppose -n*l = -3*d + 29, -6*d + 27 = -d - 3*l. Differentiate -34 + 11*t**d + 0*t**3 - 36 + 79 with respect to t.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a**4 + 3 - 3 + 3*a**4 + a**4 - 3*a**4 + (-4*a + 2*a + a)*(a**3 + a**3 + a**3).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, 19 in descending order.\nAnswer: 20, 19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*q + 2, 3 = q - 0*m - 3*m. Solve q = -9*l + 4*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 1*(-62 + -3). Calculate the greatest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 150 = 19*y. Let o(z) = y*z + 24*z - 47*z. Let j(f) = -f**2 - 4*f**2 + 4*f**2. Calculate o(j(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-384)\/352)\/((-6)\/110). Solve -2*n - 17 = -3*d, 0*n = -5*n - 5*d + i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055858461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053312 (base 10) in base 3?\nAnswer: 1222111212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -542 - -546. Let q(n) = n**3 + 3*n**2 + 3*n - 9. Let c(d) = -d**3 + d + 1. Let m(b) = -2*c(b) - q(b). Let s be m(l). Solve -s*f - 2*f - 15 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100100000 (base 2) to base 16\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923571711.\nAnswer: 3, 3463, 29633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v - 17. Give p(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -6*x - 3*q, 0 = -4*x + 9*x + 5*q + 70 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5057755*a**6 - 2*a**3 + 5696569*a**2 wrt a?\nAnswer: -606930600*a**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(3\/7)*y\/(y\/(y\/(y*y\/(y*y*y*y**(-18)*y))))*y)**(10\/11))**(-1\/35) assuming y is positive.\nAnswer: y**(162\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1584)*1 + 2)*6 + -5)**2 + 1.\nAnswer: 432*sqrt(11) + 57034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 1736 = -12*u - 54*c + 58*c, -c + 5 = -2*c for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3802 - 3883) + -1 + 38?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.932861 and 11.7.\nAnswer: 127.9144737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-6)*792\/(-330).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.05, 16, -1\/3 in descending order.\nAnswer: 16, 1\/2, -0.05, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 507, 2058, 4641, 8268, 12951, 18702, 25533, 33456?\n\"Answer: 2*d**3 + 504*d**2 + 25*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, n: 6}. Give prob of picking 3 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 57679560 divided by -11535912\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 48 = -4*l, 2*l + 2*l + 36 = -3*f. Let v(m) = 234*m**2 + 12*m - 52. Let n be v(f). Round n to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 32*o = -30*o + 5, -3*o - 25 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (0 + (4 - -2) + -6) - -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lljlljlsslll. What is prob of picking 1 j and 1 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**6\/360 - a**5\/90 + a**4\/72 - 3*a**2\/2 - 2*a. Let f(s) be the first derivative of i(s). Solve f(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f. Let u(b) be the second derivative of b**3\/3 - 19*b. Calculate t(u(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1044 - -3252. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**12)**44\/(w**5*w**(-4)*(w**(-1\/4)\/w)\/(w\/((w*w**(-1))\/w))) assuming w is positive.\nAnswer: w**(4233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290959 is divided by 694.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3386*u**3 - 3392*u**3 + 16935*u**3 - 3379*u**3 - 3393*u**3 - 3386*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*n + 251709 = 0, 2*n = -2*n. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-95)\/(-40) - 6\/16. Suppose -o*g + 3*r = 6*r - 12, -3*g + r = -18. What is the remainder when 28 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*r + 27*r + 629 = -19*r for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41\/2 + -121\/6. Let g = 2\/1431 + 2828\/24327. Which is the closest to n? (a) g (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 114.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74470 + 74475 + 12*i - 19*i - 17*i.\nAnswer: -24*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.39 + 7.79. Let i = -6.4 + d. Which is the smallest value? (a) i (b) 11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -11*j - 608. Suppose 3*k + 38 = 2*h + j, -3*k + 12 = 0. Solve -3*v - 3*q = -h, 3*v - 3*q = 5 + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -16*a + 18*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 6*b - 32. Put 0.4, b, 2, -1 in increasing order.\nAnswer: -1, 0.4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.01 and -2300.3.\nAnswer: 43728.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 6*y + 1320 = 0. What is the greatest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32014295 * 0.2.\nAnswer: -6402859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.8309 plus -5801?\nAnswer: -5729.1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290802861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 8*x + 2. Let a be j(5). Let z(v) = -v**2 - 11*v + 7. What is z(a)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -96 - -14060?\nAnswer: 13a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - j + 1. Suppose -2*l = -4*l + 2. Let k(o) = -5*o**2 - 3*o + 3. Determine l*k(t) - 4*c(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 47*t + 316. Determine h(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 105162735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 167421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*2*sqrt(99)*6)\/(sqrt(45)\/sqrt(45) - (sqrt(9) - sqrt(144)*-4)))**2.\nAnswer: -432*sqrt(11)\/25 + 62649\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2089 - -2180. Solve 76 = -3*w + q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z - 15. Let s be t(0). Let h = s + 33. What is the second derivative of j**5 - h*j**4 + 18*j**4 + 3*j wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 5. Let d be s(9). Suppose d*m - x - 29 = 2*x, -3*m = -x - 28. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646 - 4*q - 3*q + 6*q - 2*q.\nAnswer: -3*q - 646","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897386.\nAnswer: 2, 3, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312035 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4768 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**6\/90 + t**5\/45 + 5*t**4\/9 + 16*t**3\/9 + 45*t**2. Factor c(h).\nAnswer: -4*(h - 4)*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 2*t + 1. Let q be b(-2). Let h be (-58)\/(-2)*(-6 + q). Let i = h + 49. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 2.0718\nAnswer: 0.082872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 826 and 141498.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-4 - -1) + -3 - (-381 - -375)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/(8\/(-6)). Suppose -1 = j + 1. Let a = 10 + -6. What is the smallest value in j, b, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {u: 6, p: 2, i: 1, l: 1, o: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/12 + 5*b**3\/6 - 11*b**2\/2 + 3*b. Let o be d(-6). Put 2, o, -4 in increasing order.\nAnswer: o, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**4\/4 + 2*z**3\/3 - z**2 - 2*z - 897. Suppose 0 = -4*l + 7 + 1. Suppose 2 = 5*j + 4*d, j = d - l*d. Determine p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 25*x**2 - 148*x - 56. Let v be t(30). Solve r - b - 5 = -0*r, v*b = 2*r - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o = -2*a - 9, -2*o + 3*a = -8. Sort 4, o, -6.\nAnswer: -6, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/9 + 2188*p**2\/9 - 21730*p\/9 + 54200\/9.\nAnswer: -2*(p - 1084)*(p - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -34 - 16*s - 24*s - 56 - 56. Let h = 33 + 22. What is the remainder when h is divided by z(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(131 + 77033\/(-596))\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhjm. What is prob of sequence lh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202 - 188. What is the smallest common multiple of 12 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440 + 246 - 1180 + 249 - 9*w + 245.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 2*z + 8. Calculate l(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -467\/39 + 10771\/663. Let t = f + -54\/13. Which is the smallest value? (a) t (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104546 + 147.004\nAnswer: -104398.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28612 is divided by 4086?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1271457 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12159)\/(-386) - 5\/(-2). Calculate the greatest common divisor of y and 3638.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 169.\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043615 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145 equal to 1145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 65 = y - 3*h, -5*y - 4*h + 352 = 0. Let p = y - 40. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -400\/3 - 41\/3*l**2 + 1\/3*l**3 + 440\/3*l = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 2, l: 1, d: 2, f: 1}. What is prob of picking 4 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -3 (c) 18\/11 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -0.1, -0.5, -2 in increasing order.\nAnswer: -23, -2, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88564 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*y - 40 = 0, 6*y + 60 = -0*p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*f - 68473*f**2 + 73475*f**2 - 25*f as k*f + n + o*f**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/32)\/(2526\/94304).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 618 or 616?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 20*w**3 + w**2 - w - 1. Give i(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 501*d**2 + 888*d**2 - 17*d + 2390*d**2 + 17 + 742*d**2 wrt d.\nAnswer: 9042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 20 = -0*b. Suppose 5*q - 2 = -42. Let v be 18\/(-8) + (-2)\/q. Sort -1, b, v in descending order.\nAnswer: -1, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e1aa (base 15) in base 13?\nAnswer: 188b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 15320?\nAnswer: -15321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1721 - 3479 = 4*v, -5*r = v + 6504. Is r < -1303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-13)))\/r**(-2\/71)*(r*r*r**(-9))\/r**(-24) assuming r is positive.\nAnswer: r**(2132\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 18 = -14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**6 - 3*v**5 - 3*v**3 + 12*v**2. Let f(q) = -q**5 - q**3 - q**2. Let w(s) = -6*f(s) + 2*x(s). Find the third derivative of w(c) wrt c.\nAnswer: -960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -60031 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by ((-22)\/4)\/(2\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 4*j**2 - 3*j + 3. Let v be d(-3). Suppose -q = -v*q + 238. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33, -5, 297, 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 28. Let k be (-16)\/(-42)*y\/(-12). Which is the smallest value? (a) -1\/3 (b) k (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 708 = 2*v. Suppose -a = -0*i + i + 91, 4*a + 2*i + v = 0. Calculate the remainder when a\/(-4)*(0 + 4) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26418, -105653, -237702, -422565, -660242, -950733, -1294038?\n\"Answer: -26407*t**2 - 14*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 5. What is the units digit of l(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 169 = 2*x - 6*x, -3*c + 2*x + 163 = 0. What is the least common multiple of 110 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 1863?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6299812 - -0.63. Round b to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6435 or -6447?\nAnswer: -6447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 183, 245, 343, 483, 671, 913?\n\"Answer: w**3 + 12*w**2 + 19*w + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 35 + 46)*(1 - 1 + 3*u)*(2 - 3 - 2) + u - 3*u + u to the form z*u + l and give z.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -0.01886?\nAnswer: -0.01886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32913 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(84) - sqrt(84)))\/sqrt(12).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-35))\/((-6)\/8)*945\/(-450).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 78317 and 78316 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 5 (c) -1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -3.2. Let q = l + -21. Let a = q - -22. Sort a, -1\/4, -1 in increasing order.\nAnswer: -1, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (62 + 16 + -6 + -20)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 467.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 64*a - 131. Let v be p(-2). What is the fourth biggest value in 3, 148, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -121*l**3 - 5*l**2 - 8*l - 17. Let g(m) = -3*m**3 - m**2 + m - 1. Let j(r) = b(r) - 5*g(r). Find the second derivative of j(p) wrt p.\nAnswer: -636*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1 - 2 - 5) + (-14 - 3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**5\/20 + s**4\/12 + s**3\/3 - 2*s**2. Suppose 4*g + 5 + 13 = m, 2*m - 3 = -3*g. Suppose 2 = 4*a - m. Give k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c - 8*c - 11*c + 3*c + 21 as s*c + i and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 14 = -5*u, u + 24 = 5*u + 4*m. Suppose 2*f + g - 510 = -3*f, -u*f = 5*g - 204. Let y = -12 - -64. Calculate the remainder when f is divided by y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 c, 1 i, and 1 f when four letters picked without replacement from {t: 5, w: 1, c: 1, j: 5, f: 2, i: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 371215102 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/((-3)\/(-9))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**2 - 7*b + 24. Give a(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 + 44 + l - l**2 to a + f*l + u*l**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 168b4a?\nAnswer: -168b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(57685\/(-14420) - (-76)\/19). Solve j*i + 88 = 2862*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116020 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5\/24 (b) 7\/48 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h**2 + 17*h. Suppose 4 = 3*t - 2. Let s = t - 0. Let u(b) = -14*b + 5*b + 5*b - 3*b**2. Give s*w(z) + 9*u(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 7, x: 1, i: 5}. What is prob of sequence ln?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5196*i. Let v(f) = -3*f**2. What is w(v(b))?\nAnswer: 15588*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7982 - -1.\nAnswer: -7981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*p - 36*p - 103*p)*(-6*p + 3*p + p)*(-8 + 8 + 12) to the form h*p**2 + l + c*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 3 - 3)*(12*k**2 + 2*k**2 - 2*k**2).\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 7. Let r = t - -4.9. Let d = -29794\/5 - -5959. Which is the closest to r? (a) -2\/11 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p + 77*p - 25*p + 29*p - 26*p.\nAnswer: 87*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1715, 2, 3 in descending order.\nAnswer: 1715, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22044\/(-6646266))\/((2\/(-2))\/(-9)).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*y + 144*y + 54 = 3*d, -2*y - 2*d = -24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159193 at least as big as 159190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28330 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-418)\/(-6) - 4\/6. Suppose 5*m + o = 8*m. Let z be -2*(-2 + (-38)\/4). What is the highest common factor of z and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -252 (b) -25 (c) -3 (d) 1\/11 (e) 0.0578 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/6 + 6\/(-18). Let t(v) = -2*v**3 - 3*v**2 - 2*v - 3. Let a be t(c). Let w be (-12)\/(-10)*a*2. Solve w = -0*z - 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + -1) - (-9 - (-5 + 0 + -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, r: 1, e: 2, j: 2, s: 8, o: 2}. Give prob of sequence sse.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15600 * -0.5.\nAnswer: 7800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(4)*4)\/sqrt(9) - (sqrt(125) + -6*(-1 + sqrt(125) - sqrt(125))))**2 - ((sqrt(45) + 4 + sqrt(35)\/(sqrt(63) + sqrt(7)))**2 + -3).\nAnswer: -14*sqrt(5) - 397\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 213, 456, 787, 1200, 1689?\nAnswer: 2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62 + -1276?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2624 + -2960.4. Sort p, -5, 6\/5, -3\/2 in ascending order.\nAnswer: p, -5, -3\/2, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:25 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.37 and 24.1.\nAnswer: 17.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**4\/3 - 11*c**3\/6 - 1648*c. Let f(l) = 23*l - 16*l - 8*l. Give f(p(b)).\nAnswer: -4*b**2 + 11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -62707339.8 to the nearest 1000000.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 104 + 296 = 0. Solve -31 - c = 28*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 183. What is h(47)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from bwgzwazzbaooza?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 9 = -5*i, 8*q - 5*q + 17 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3847 (b) -570 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*a + 821, 3*a + 4*z - z - 819 = 0. What is the highest common factor of a and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {z: 1, n: 1, b: 1, t: 2, j: 1, g: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 3)*(1 - 4 - 5)*(1 - 1 - p**2).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {q: 1, p: 12, l: 1, w: 5}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-345) + (-2)\/15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*((sqrt(252) + 3)**2 + -4) - 2*sqrt(252)*2*2).\nAnswer: 1584*sqrt(7) + 9252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -224639 (base 11) in base 5?\nAnswer: -42414401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 265143098 and 20.\nAnswer: 2651430980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a. Let b(i) = 6*i + i + 2*i + 7*i. Give r(b(z)).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40604702.\nAnswer: 2, 409, 49639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1099 by -2.\nAnswer: -1099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 9*z + 13. Let o be p(-9). Let d = o + -377\/4. Sort d, -1\/3, 0.6, -0.5.\nAnswer: -0.5, -1\/3, d, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 10*c**2 + 8*c - 9. Let m be n(-9). Let l = 13 + -9. Solve l = -m*y - 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2637.9 - 2638. Suppose -3*j - 6 = 9, -3*b - 20 = j. What is the fourth smallest value in 2, -4, m, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9012*c - 1676220. Give x(-186).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3778, -3778, -3776, -3772, -3766, -3758, -3748?\nAnswer: -3736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -8*q**3 + q**2 + 139*q - 135. Find the first derivative of u(j) wrt j.\nAnswer: -48*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268163461 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*w - 81, 0*w = -2*g - 3*w + 13. Suppose g + 7 = 7*z. What is the highest common factor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 16. Calculate the common denominator of (20\/x)\/((-7)\/84) and 81\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2924*m**4 - 4635*m wrt m.\nAnswer: 35088*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -8*f - 5. Let g be f\/(-18) - (-3)\/(-2). Let r(h) = -3*h**2 - 3*h - 1. Give r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 0.025, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(320) - (sqrt(320) - (sqrt(320) + 1 + sqrt(320))))*4 - sqrt(320)) - (-4 + sqrt(320)*2)*5) + -2)**2 + 3.\nAnswer: -1216*sqrt(5) + 462087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 58*q. Let w(k) = -7357*k**2. Determine w(x(b)).\nAnswer: -24748948*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*z - 78*j - 1102, -53 = -5*z - 365*j + 367*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Suppose u*b + q = 45, -2*q - 60 = -b - 3*b. Is 14 a factor of (-5)\/(b\/6) - -30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 1. Let k(s) = 3*s + 6. Let i(d) = -k(d) + n(d). Let r = -1 + 6. Let g be i(r). Solve -g*w = 43 - 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + 3. Let l = -19 + r. Suppose 0*p + p - 62 = l. What is the remainder when p is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 139*q + 1472. Let b(p) = p**2 + 1. Let i be b(0). What is the remainder when r(-13) is divided by (-2)\/(-4) - i\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 1\/3*u**3 + 1 - 23*u - 4*u**2. What is c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (162\/(-72))\/(-1*(-6)\/(-3824)). Let l = o + -933. Suppose -5*v = -l - 2809. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)\/sqrt(4)*4 - sqrt(209)\/(1*sqrt(99))) + (-2*(sqrt(1539) + -3) + (sqrt(1539)*-3 - sqrt(1539))*6)**2.\nAnswer: -8401*sqrt(19)\/3 + 1040400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -16*s**2. Let y(f) = 4*f**2 + 13. What is j(y(x))?\nAnswer: -256*x**4 - 1664*x**2 - 2704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/5265 and 56\/173745.\nAnswer: 173745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.6. Let l = 161.1 - 160.7. Which is the third smallest value? (a) -0.24 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8266)\/(-6))\/((-4)\/12). Let c = -2080 - g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:33 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 46105 (base 11) to base 15\nAnswer: 14b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10952533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 7*j - 4. Let n be (9\/(-6) + 3)*10\/3. Give k(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/30 in -8, -13, -5\/2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6 - (-2240)\/(-672)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.76 - -2.86. Let y = 6 + -32. Which is bigger: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 6 + 4. Let i = 2 - o. Let v be (12\/10)\/((-129)\/30 + 4). Sort i, v, -5 in increasing order.\nAnswer: -5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 4*k = -r + 25, 2*k - 3*r + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 120 = -177. Suppose -o*t + 11*t + 2728 = 0. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 8*f**2 + 7*f - 6. Let i be d(-6). Let j(s) = -17*s**3 - 1. Let x = -6 - -5. Let p be j(x). What is the greatest common divisor of i and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (525730\/228)\/((-2)\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*y + 5*c, c = -y - 2*c - 3. Let q(d) be the third derivative of -1\/60*d**5 + 0*d**3 + y - 1\/24*d**4 + d**2 + 0*d. Factor q(a).\nAnswer: -a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(57) - sqrt(285)\/sqrt(5))\/sqrt(3) + sqrt(19) - (sqrt(1539)*2)**2) + 2 + 2.\nAnswer: -30776 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c - 11. Calculate the remainder when 8 is divided by g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 644 + -230. Suppose 12*r - 1326 - s = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(2205)*3 + sqrt(2205) - sqrt(2205))*-3*2)**2.\nAnswer: 2857684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(72) - (sqrt(72) + -1)*-3).\nAnswer: -120*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a*a**(-2\/9)*a**(2\/15)*a*a**(-2)*(a**(-2\/17)*a**(2\/7))\/(a\/(a**(-1)\/a))**(-2\/33) assuming a is positive.\nAnswer: a**(-279151\/58905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-20) + (-30)\/24. Find the common denominator of (u\/2)\/(11\/(-341)) and -59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -3*b. Solve -j = b*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 57 = 3*s - 60, 3*s = 4*d - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -274, 0, 5, -20 in descending order.\nAnswer: 5, 0, -20, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734406481.\nAnswer: 734406481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 26*n - 22. Factor 129*d**2 - 8*d + 135*d**2 - 263*d**n.\nAnswer: d*(d - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 76965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(3 + (1*sqrt(80) + -4)*-6 + 3)*3)**2.\nAnswer: -7464960*sqrt(5) + 19595520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + c**2 - 1. Let z(h) = h**3 + 12*h**2 - 1. Let x(m) = -2*b(m) + z(m). Find the third derivative of x(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**2 - 3*m**2)*(-21*m - 14*m + 5*m).\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385785.1l to millilitres.\nAnswer: 385785100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043 (base 7) in base 2?\nAnswer: -101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l + 13. Let c be a(2). Suppose -5*u + 0*u + 2*b = -3448, -2764 = -4*u + c*b. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14 + (-2226)\/(-294)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.146 and 0.14177?\nAnswer: 0.16246842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6240721.\nAnswer: 19, 503, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*s - 27, -3355*x + 3359*x = -3*s + 22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1352*t - 8177. Give n(5).\nAnswer: -1417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3 + (2 + 1 - 1)*(-3 - 3 + 5))*(-2542*l**3 + 1324*l**3 + 183*l**3).\nAnswer: 3105*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09097 minus 9?\nAnswer: -8.90903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -6, -2, 2273, 48 in descending order.\nAnswer: 2273, 48, -1, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/28 and 5\/((-1225)\/(-1043)) + -4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -17*z**4\/2 + 2*z**3\/3 + 2*z**2 + 2*z + 2400. Determine i(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59 - 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (174\/460 - 1) + (-9)\/(-15) and -61\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -651, -1647, -2637, -3621, -4599, -5571, -6537?\nAnswer: -7497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 37*b - 41*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -117. Suppose 2*r - h = 32. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1850\/222 - -5*9\/27\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/7 + 110*t**3\/7 + 1566*t**2\/7 + 1458*t\/7.\nAnswer: 2*t*(t + 1)*(t + 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3816988 divided by -6\nAnswer: 1908494\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -8.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 35. Let d(o) = -o + 36. Let p(s) = -6*d(s) + 5*i(s). Determine p(18).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, p: 9}. Give prob of picking 3 d and 1 p.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*d**3 - 92*d**3 - 30 + 11*d + 30 - 11*d.\nAnswer: -43*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -10. Suppose -4*c = -9*c - w*h + 39, 3*c - 4*h - 49 = 0. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 16, 3*c - 5*i - 36 = -c. Let x = -0.06199 + 5.06199. What is the smallest value in c, x, -0.5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 5*k - 7. Let i = 247 + -107. Suppose 7*v + i = 11*v. What is the remainder when v is divided by b(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.79*1.573563\nAnswer: -15.40518177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-54))\/(61 - (-2220)\/(-36)).\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**2 - 89930*c - 89935 = 0. Calculate c.\nAnswer: -1, 17987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15251059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -252818650 to the nearest 1000000.\nAnswer: -253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 1. Let t(o) = o**3 - 7*o**2 - 15*o - 1. Let p(z) = -5*f(z) - t(z). Does 5 divide p(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.499 + 0.341. Let p = 8.84 - f. Sort p, 1\/5, 0.4, 68.\nAnswer: 1\/5, 0.4, p, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**2 - 233*d + 223. Give i(-30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1221185, 1221475, 1221755, 1222019, 1222261?\nAnswer: 1222475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1171*g**2 + 6805*g**2 - 378 - 5633*g**2.\nAnswer: g**2 - 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3911 + -3911. Solve 12*k - 36*k - 120 = p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -284921816 divided by -630358\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (865 + 29 + 277)*(-s - 3*s + s).\nAnswer: -3513*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/143 and -17\/1177.\nAnswer: 15301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*l = -10, -u - l = u - 11. Solve -6 = 4*v + u, -j + 3*v + 9 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12715755 (base 8) to base 5\nAnswer: -1212423330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icctg. What is prob of picking 1 g and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741338 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 81*b = 11*b + 684 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5612995430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 8. Let c(x) = 2*x + 7. Let l(g) = -6*b(g) + 7*c(g). What are the prime factors of l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 3*f**2 - 2*f + 2. Let r be c(3). What is the units digit of (r + -1)*12\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -596\/7245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 5*h - 10. Suppose 0 = h*o + 4*m, m + 2*m = 0. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*m**3 + 1 + 2*m - 89*m**3 - 2*m**2 - 84*m**3)*(0 - 1 + 2).\nAnswer: -50*m**3 - 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/9)\/((-4)\/9). Solve 2*d = y*v - 19 - 2, 4*d = -12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17738 - 17741. Sort -2\/19, 0.5, 0.07, p, -2\/5.\nAnswer: p, -2\/5, -2\/19, 0.07, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b*m*s**2 + 1530*b*s**3 - 10*b*s + m*s**3 + 1788*m*s**2 - 17*m*s wrt b?\nAnswer: 5*m*s**2 + 1530*s**3 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -13723*p + 192122. Calculate u(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3820000 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-1 - (-16)\/20)*-1). Solve x - r*c + 3 = 0, 0 = x + 3*c + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Let p(k) = 11376*k. What is p(l(c))?\nAnswer: -22752*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8744 - -0.1256. What is the third smallest value in 0.3, h, -7, 0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5869 is divided by 5566?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13471 - -13472. Which is smaller: -25\/241 or a?\nAnswer: -25\/241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**28*t**11\/t*((t*t**(-2\/25))\/t)\/(t\/(t\/(t*(t\/(t*t**10))\/t)*t*t)) assuming t is positive.\nAnswer: t**(1248\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 45*u**2 + 31*u**2 + 15*u**2 + 81 = 0. What is u?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1927 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n. Let d(a) = 4*a - 2*a + 5*a - 2*a. Give f(d(l)).\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-18))\/((-2)\/(-8)). Let r = 3.1241 - 1.3241. Sort g, r, 6\/11.\nAnswer: g, 6\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3987900 = 25169*x + 1417*x for x.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/342 and 44\/85329.\nAnswer: 170658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 4*h + 3*h + (-5 + 5 + 4)*(5*h - 3*h + 0*h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + o**2 - o**2)*(5 - 4 + 1) + o + o**2 - o - 123*o + 20754*o**2 - 20761*o**2 + 480*o as f*o + c + j*o**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(1 - (-1 - -4)). Is (t - -4 - 321)*(-14)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + g + 4 = 0, -6 + 2 = 4*g. What is the second smallest value in -0.3, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o**2 + o + 1. Let c be -1 - 3\/(-3 + 2). Suppose s - x - 56 = 4*x, -5*s = c*x - 145. Let l = s + -32. Calculate m(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -16*y - 37. Let s(o) = 4*o + 9. Let v(m) = 6*p(m) + 26*s(m). Let i be v(6). Let k = -13 + i. What are the prime factors of k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 305, 155, -1, 2 in decreasing order.\nAnswer: 305, 155, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 9:25 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*y + 67 - 21)*(2*y - y - 2*y)*(-7 + 2 + 2).\nAnswer: 12*y**2 + 156*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:35 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 565 in ascending order.\nAnswer: 2, 4, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*h + 20 = 0, -2*h + 5 - 15 = -5*n. Suppose n = -5*b + 49 + 1. Suppose -3*t = -k + 2*t - 17, 0 = -2*k - t + b. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-66)*(-234)\/520?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {f: 1, z: 1, t: 5, p: 7, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 433, 1162, 2249, 3700, 5521, 7718?\n\"Answer: t**3 + 170*t**2 - 140*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 10. Solve 0*q = -x*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 9:53 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*a + 3*o - 18373, 5*a + 3*o + 18367 = 0. Is 48\/84 + a\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49696056 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*k**5 + 39944*k**4\/5 - 241252*k**3\/5 + 242376*k**2\/5 - 42698*k\/5 + 368 = 0. Calculate k.\nAnswer: 1\/15, 1\/7, 1, 5, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000361 to seven decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 2*j**5\/55 - 7*j**4\/22 - 26*j**3\/11 - 53*j**2\/11 - 4*j + 8109. Suppose p(v) = 0. Calculate v.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -25*c**3 - 1533*c**2 + 614*c - 5. Let a(b) = 87*b**3 + 5364*b**2 - 2148*b + 18. Let l(p) = 5*a(p) + 18*s(p). Solve l(h) = 0 for h.\nAnswer: -52, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (111396*i - 111396*i - 856*i**2)*(17*i**2 + 11*i**2 + 10*i**2) to the form l*i**4 + q*i**2 + v + g*i**3 + m*i and give l.\nAnswer: -32528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = 1743. Let n = -140 - j. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -2. Let g be ((-3)\/l)\/(5\/2). Let s be (-3 + 7\/3)\/1. Which is the nearest to 1\/4? (a) g (b) s (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2103103330 - -1132?\nAnswer: 2103111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 33. Let z(y) = -y**3 - 17*y**2 + 21*y + 44. Let v be z(-18). Is 13 a factor of s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1552*c = -792*c - 780*c + 5320. Solve 2*o + 12 = 4*w, 3*w + 258 - c = o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 520 - 351. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from tteeetettbbe?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36522 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2411 - 2414. What is the nearest to 4 in -52, 4, -5, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 87 + 15 = 0. Suppose 5*g - 2*u - 88 = 0, -d*g = -12*g - 4*u + 58. Solve 0 = 7*k - k + g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1130033 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-2 - -13*5)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*t**5 - 2*t**5 - t**5 + ((-3*t + 2*t + 0*t)*(-2*t - 3*t + 3*t) - 3*t**2 - 2*t + 6*t**2 + t**2)*(4*t**3 - 3*t**3 - 3*t**3).\nAnswer: -27*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*c = 7, -26*p + 31*p = 5*c - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7439*a + 47*a**2 - 8420*a + 10*a**2.\nAnswer: 57*a**2 - 981*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 16. Let z = 0.16 - 0.06. What is the closest to z in p, 5, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53480 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u - 6 + 6)*(2*u**2 + u**2 - 4*u**2) + (-2*u + u**3 + 2*u)*(-4 + 2 + 4).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(800))\/(sqrt(180)*2))\/((sqrt(60) - 2*sqrt(60)*-6)\/(sqrt(24)\/sqrt(2)*-1))*-6)**2.\nAnswer: 288\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 73 + 58 = -3*g, 0 = 4*z - 5*g + 207. Find the common denominator of 97\/4 and z\/12 - -5 - (-362)\/(-534).\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -335*c**3 + c**2 - 1. Suppose 3 = -10*v + 7*v. Let s(n) = n**3 + n**2 + n. Let i be s(v). Is y(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 18*r - 20. Let k be z(17). Let m be 1\/k*(-1 - 29). Let d(w) = w**3 - 10*w**2 + 5*w + 14. Is 13 a factor of d(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + n + 28 = -3*n, -n - 5 = 0. Let p(i) = 48*i - 70. Let j be p(w). Calculate the highest common divisor of j and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 + -38965e?\nAnswer: -389674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 4*p + 6. Let j be h(4). Let a be -1 - -4902 - j\/6. What is a rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975916?\nAnswer: 2, 19, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18360 - 18184. Solve -i + 40 = 17*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z + 3 = 13*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(246\/164)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 64*d**2 + d - 3. Let l(g) = -32*g**2 - g + 2. Let w = 4 - 1. Let c(a) = w*f(a) + 5*l(a). What is the remainder when c(1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010 + 11?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/5*13\/13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 31.8?\nAnswer: -35.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4 + 4)*(-2 + 3 + 1) - 3 + 10*o - 4*o + 2.\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -35*(-2)\/(-4)*(-8)\/(-5). Let o = 39 + t. Calculate the greatest common divisor of o and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*k + 3*h, 0 = 2*h - 5*h + 9. Let s(i) be the first derivative of k + 2\/3*i**3 + i + 0*i**2. Differentiate s(x) with respect to x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 243368887?\nAnswer: 243368887.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24280 + 24328. Solve -13 = -35*o - f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1674409*m**4 - 1534402?\nAnswer: 6697636*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.57504?\nAnswer: -1.15008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -3*l - 2*p + 6*p, l - 75 = -2*p. Factor 2180*y**3 + 45*y**2 - 1084*y**3 + 115*y + l - 1091*y**3.\nAnswer: 5*(y + 1)*(y + 3)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.4 (b) -4 (c) -56 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11312930.\nAnswer: 2, 5, 191, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**6\/120 - g**5\/20 + 5*g**4\/24 + g**3 + g**2. Let j be n(-4). Suppose -j*r + 2 = 4. Is r greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(16500\/(-270)))\/(((-3)\/(-9))\/((-11)\/6))\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 918 and 568446.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -32. Suppose 17*s = w*s - 10. Solve -7*b - 25 = -s*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 9*a + 10. List the prime factors of z(10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51685\/4 - 12922. Let k = 1.1 + -1. Put 4, 0.4, z, k in decreasing order.\nAnswer: 4, 0.4, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*q = -15, 5*y - 3 = 50*q - 51*q. Let f(h) be the first derivative of 23\/2*h**y - 15 + 29*h. Let i(t) = -4*t - 5. Give -6*f(d) - 34*i(d).\nAnswer: -2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + -0.22. What is the second biggest value in 2, 2\/7, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*o - 7 + 1, 10 = 2*u + o. Suppose 77 = 4*p + 5. Let c = p - u. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264317?\nAnswer: 101, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**3*k)\/k)\/k*k*k**7\/k*k**(-10)*k*k*k**8*k*k*k assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)**(38\/3)\/(s\/((((s\/(s*s**(-2\/7)))\/s)\/s)\/s*s)*s)**(-4))**2 assuming s is positive.\nAnswer: s**(1156\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 43*q**2 + 44*q + 14. Determine p(42).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 49*u = 447, 310*b - 4*u - 39 = 148*b + 161*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (18 - 65)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 24*a**2 + 22*a**2 + 0*a**2 - 40 - 14*a. Let z be u(-3). Calculate the highest common factor of 28 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*r + 80 + 78 = 0. Factor -2\/3 + 0*d**4 - d - 1\/3*d**5 + 4\/3*d**3 + 2\/3*d**r.\nAnswer: -(d - 2)*(d - 1)*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 41*r**2 + 31*r**2 to h + f*r**2 + n*r and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3904 is divided by 231.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + 1. Let i = -2 + 5. Let a be x(i). Let n = -3 - a. What is the greatest common divisor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(84)*-1 - sqrt(84)))\/(sqrt(12) - (sqrt(48)\/sqrt(4)*6 - sqrt(12))) - (sqrt(112)\/sqrt(4)*-6)\/((sqrt(8)*1)\/sqrt(2)))**2.\nAnswer: 1575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.315 - 0.085. Which is the third biggest value? (a) 0.1 (b) h (c) -4 (d) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, 2999, 6894, 12345, 19352?\nAnswer: 27915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - r + 43, 3*k - 49 - 26 = 2*r. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180 + 9\/(-5 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 3*n - 6, 499553*f - 4*n = 499564*f + 37 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9025*h**4 - 18085720*h**3 + 761516*h**2 - 8016*h = 0. What is h?\nAnswer: -2004, 0, 2\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*b - d - 3, -2*d = 0. Let y be (-3)\/(-5)*(0 + -2 + b). Sort 3, 5, y, 0 in decreasing order.\nAnswer: 5, 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 198*q + 243. Let p(s) = -9*s - 11. Let z(c) = -2*g(c) - 45*p(c). Let n = 196 - 189. Let x(t) = 5*t + 5. Calculate n*x(v) - 4*z(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33374524*g**2*y**3 + 54*g**2*y**2 - 87*g*y**2 + 2*y**2 - 24*y - 1 wrt y.\nAnswer: -200247144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6*(3 + 3). Suppose 4*a - w + 12 = -t*w, -5*a = -4*w + 15. Let d be a\/(-7) + 92\/14. Calculate the highest common divisor of 49 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f + 180911*f**3 - 180909*f**3 - 12*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 6 = 0, -81824*b + 81828*b - 30 = 5*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364.86 + -2.86. Let h = c + -205. Let m = h + -156.782. Round m to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 + 32 = -2*d + 5*y, 0 = -4*y - 16. Suppose -3*w + 3*r + 98 + d = 0, 2*w - 180 = -2*r. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(t - 2 - t + t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4538*o = 4531*o + 1260. Calculate the remainder when 316 is divided by o.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 9639?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -22061 and -22061 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62 - 0?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 11 - 1 - 3*i - 2*i**4 + i - 88*i**2 + 12 in the form z*i**4 + b + w*i**3 + s*i + h*i**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -1\/3 (c) -13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/765)\/((-1680)\/(-756)) - (-1896)\/(-50)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1636, -3301, -4990, -6697, -8416?\nAnswer: -10141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -4 + 5*2*sqrt(252))**2*-6.\nAnswer: -454248 + 12960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 - (-33)\/27) + (-46989)\/1863\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:45 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 12:27 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -461, -932, -1381, -1802, -2189?\n\"Answer: r**3 + 5*r**2 - 493*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, f: 3}. Give prob of picking 1 x and 1 f.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 37 = -14. Let x(r) = 2*r + 43. Let w be x(-19). Sort q, w, -4, 0.1 in ascending order.\nAnswer: -4, 0.1, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1451 and 0.037861?\nAnswer: 0.107239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/8 (b) 1\/2 (c) 23 (d) -2\/15 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -91. Put s, 2, -3, 1 in decreasing order.\nAnswer: s, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/15)\/(2\/5). Suppose 0 = -3*k - k - 8. Sort k, 4, m in descending order.\nAnswer: 4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 19226613*l**2 + 38453235*l - 19226619.\nAnswer: -3*(l - 1)**2*(l + 6408873)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 977130 in decreasing order.\nAnswer: 977130, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-12))\/(-2))\/(-9*72\/(-243))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83777905 or -83777906?\nAnswer: -83777905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 45646\/(-165270) + 2\/14\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 100, 208, 328, 466, 628, 820, 1048, 1318?\n\"Answer: v**3 + 101*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 107 - 165 + 28*i**2 to o + y*i + w*i**2 and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:15 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9965 is divided by 540.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 7*s**2 - 9*s + 4. Determine q(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -259 + 145. Let k be (-6)\/(-8) + m\/(-8). Suppose 3 = d - v - 2, -4*d + 5*v = -k. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1164, -1530, -6030, -12342, -20472, -30426, -42210?\nAnswer: -55830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5025343*w - 5025343*w - 4652*w**2.\nAnswer: -4652*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18970 divided by 5?\nAnswer: -3794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*n - 344. Let i be (-2)\/(-5) - n\/(-40). What is the second derivative of -3*f**3 + 0*f**3 - 4*f**3 - i*f wrt f?\nAnswer: -42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*n = 223*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3. Let s(g) = 8*g**2 + 3*g - 14. Calculate 3*b(o) - s(o).\nAnswer: -8*o**2 - 3*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.8, 2, -11, 0, -7\/173?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 29 - 3*o + 15 + 11.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from jnwkb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + (7 - 3))\/(-1). Factor v + 146*v**2 - 14*v - 132*v**t - v**3.\nAnswer: -v*(v - 13)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2436 + 2427 + 0*r - 4873 - 5*r.\nAnswer: -5*r - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -227.262015 and 4.\nAnswer: -223.262015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+19762651246\nAnswer: 19762651245.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -861 - -861. Solve -19*y + 17*y + 14 = w for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/28)\/(6*1\/8). Let b be g\/8 - 23\/(-4). Solve -b*o - 9 = -9*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**2 + 16*l + 211*l**6 - 11*l - 2644*l**6 - 30*l wrt l.\nAnswer: -291960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s + s + 3*s + 16 as v + c*s and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-2 - (-5 - 2) - (21 - 11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -514.43948 to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 495646252 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/(-40)*1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12337 != 12380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 210 + 70 = 0. Suppose -98 = -3*m - 2*j + 2, 5*j + q = 2*m. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28834 - 19445. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:44 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 7*j - 5)*(2 - 3 + 2).\nAnswer: 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565\/10 + 9\/(-6)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*g - 4, 0*g + 4 = 4*r + 3*g. Solve -6*d - 6 = -r*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 674410728 and 2568?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*4 + -3 + 1. Let y be 2034\/144 + (-2)\/16. Solve -3 = r + 2*f, -3*f = -x*r + f - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*y - 29*y - 17472. Is ((-6)\/(-7))\/(8*(-6)\/y) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45)*-5*3)\/sqrt(5))\/((sqrt(3) - sqrt(9)\/sqrt(3)*-1) + (sqrt(36)*2)\/sqrt(12)))**2.\nAnswer: 675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 - a**2 - 2*a - 8. Calculate q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. What is the third derivative of -5*z**5 - y*z**3 + 8*z**2 + z**2 + 3*z**3 wrt z?\nAnswer: -300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.01 + -0.01. Let b be 19\/(-4) - (-6 + -4 + 5). What is the closest to b in k, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79*10052.\nAnswer: 794108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146\/730 - 27*1\/10.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -71*p + 73. Let m be z(-13). Suppose -10*a = -5*a - 55. Suppose -d + m = a*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -14*r + 4*r. Let o be 0\/((r - (-5)\/2)*-4). Solve -4*y = -4*z + 4, y - 4*z - z - 3 = o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 1\/24*w**4 + 1\/40*w**6 + 0*w + 1\/20*w**5 + 0 + 0*w**3 + 1\/210*w**7 - 3*w**2. Solve z(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 155 - (-36*1)\/6. Let m be 129\/(-18) + p\/23. What is the closest to 24 in -8, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -585, -1437, -2659, -4251, -6213, -8545?\nAnswer: -11247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 20 - 5 - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -2\/7, 8, 5, -231.03775 in decreasing order.\nAnswer: 8, 5, 1\/8, -2\/7, -231.03775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 97*c - 801. What is the remainder when 11014 is divided by i(8)?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (1 - -6 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 65722*d - 197146. What is i(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 169\/5*j + 13\/5*j**2 + 1\/15*j**3 + 89. Suppose l(y) = 0. What is y?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 >= -59.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3*j - 4)*(-4 + 5 + 2)*(3 - 1 + 0) as u*j + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/56)\/((-1143)\/(-889))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from ppipppecpzpppp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000036701 to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (0 - 4)) + (0 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -322?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -0.1 (b) 1\/5 (c) -0.5 (d) -897 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:34 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/(-42) + (-3)\/(-2). Suppose -4 = -l + r*o, -20 = 2*l - 7*l + 5*o. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56\/(5376\/18))\/((-3)\/2). Which is the nearest to -13? (a) 0.03 (b) 0.2 (c) m (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v + 3*v - 3 + 11*v. Let d(x) = x - 2. Let r(y) = -6*d(y) + 4*l(y). Let q(o) = 2*o - 2. Give r(q(s)).\nAnswer: 4*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/57)\/((-16)\/(-3456)*-12*16\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-9) - (-3)\/9. Let s be (g*-23)\/(-7 + 8). Let n = 17 - s. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmggglwmnmwwgm. Give prob of sequence ggmn.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 - 0.02. Let f be 7 + -8 - 10\/(-18). Is b bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.9 - 23.9. What is the second smallest value in -6, z, 4, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 12) to base 4.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -41, 2\/9, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/551111455?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtvtxxxzvvvv. What is prob of sequence tvzt?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -10. Let g(n) = n**2 + 7*n + 3. Let t(l) = -l**2 - 7*l - 2. Let h(r) = k*t(r) + 5*g(r). Give h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140955\/75 + (24\/(-10) - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5558 and 0.48.\nAnswer: 1.226784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 + 147*k - 20. Give f(29).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 2 + (6 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52203 + 5?\nAnswer: -52154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:57 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 517 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/24)*y*y*y*y**(-32)*(y**(-22))**(-9) assuming y is positive.\nAnswer: y**(4079\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*b**2 + 23*b**2 - 11*b**3)*((-2 + 2 + 1)*(0 + 2 + 1) + 2 - 1 + 2 + (3 - 2 + 1)*(-2 - 2 + 3)) as l*b**3 + d*b**2 + c*b + s and give l.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, r: 1, n: 3, b: 1}. What is prob of sequence nrbn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3398 + 3401. Solve q + 12 = 6*q - 2*p, 9 = 3*q - a*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -744\/50141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 590771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*(o*((o\/(o*(o*(o\/(o*o**(-6)*o)*o)\/o)\/o))\/o)\/o)\/o*o)*o**(-4)*(o**(-1\/4)\/o)**(-1\/14) assuming o is positive.\nAnswer: o**(117\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -10 + (30 - 10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-88)*8\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*y - 2*y = 47, 2*b = -y + 17. Factor -209*n**3 - b*n + 112*n**3 + 15*n**2 + 107*n**3.\nAnswer: 5*n*(n + 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b - 90. Let r be l(10). Suppose 3*o - 29 = -26. What is the biggest value in 2\/11, r, -0.8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2))\/((((l*l**(-3\/2))\/l*l)\/l)\/l)*(l\/((((l\/l**0)\/l*l*l)\/l)\/l))**(4\/7))**(34\/3) assuming l is positive.\nAnswer: l**(1445\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 78, 36, -42, -168, -354, -612, -954?\nAnswer: -1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1336509 and 383.85452.\nAnswer: -1336125.14548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -142, -2, -1\/311.\nAnswer: -142, -2, -1\/5, -1\/311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 2*s + 1. Let u(n) = -13*n - 111. Let j(p) = -2*l(p) - 2*u(p). Differentiate j(f) wrt f.\nAnswer: -12*f**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292 times 0.1\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p - 7*p + 7*p)*(21*p**2 - 51*p**2 + 28*p**2) - 4*p**3 - 3*p + 3*p as z*p**3 + q + r*p + m*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 6. Suppose 0 = -o + 6*o - 15. Calculate the lowest common multiple of o and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1. Let r be (-2)\/(2\/4*-1). Let n(o) = o**2 + 4. Determine r*d(z) + n(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 540 = 6*t. Let s be t - (2 + -2)\/(-5). Let z = -55 - s. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9580, -9579, -9578, -9577?\n\"Answer: b - 9581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 24*u + 19*u. Find the third derivative of 19*x**u + 159*x**3 - 311*x**2 - x**4 + 141*x**3 - 35*x**3 - 29*x**3 wrt x.\nAnswer: -24*x + 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 21*n**2 + 93*n - 3. Let y(l) = -43*l**2 - 184*l + 5. Let s(f) = 5*m(f) + 3*y(f). Find the second derivative of s(r) wrt r.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130\/3 - 2216\/51. Let u = 43.7 + -45.7. Which is the smallest value? (a) g (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8721 - 8725. What is the second smallest value in 1, 15, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -3\/4, -1, -23, -1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(255\/50)*18\/(-165).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/449, 0.2, -18 in ascending order.\nAnswer: -18, -4\/449, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a79c - -18?\nAnswer: -3a784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6798*t**3 - 6810*t**3 + 13620*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 325242 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 8. What is q(64)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8885 divided by -18993?\nAnswer: -8885\/18993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**3 - 6*i + 13. Let t(p) = -6*p**3 - 7*p + 14. Let r(y) = -6*t(y) + 7*u(y). What is r(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/7 and 45\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9608 (base 12) in base 2?\nAnswer: 100000000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**3 + p**2 - 2*p - 3. Let i(j) = 4*j**3 + 2*j**2 - j - 2. What is 3*i(t) - 2*s(t)?\nAnswer: 4*t**3 + 4*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/41, -2\/5, -1298\/7, -0.2?\nAnswer: -1298\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18\/35 + -181\/420. Put -1\/8, -1\/4, x, -2 in ascending order.\nAnswer: -2, -1\/4, -1\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:37 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) 1\/5 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10153\/(-9372))\/(4 - 1205\/300)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 26 = 3*p + 2*t, 4*p + 4*t - 40 = 0. Suppose -p*y - 280 = -b, 0*y - y - 5*b = 82. Let r = y + 81. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 147136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11660 and 964?\nAnswer: 2810060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b + 80. Let c(q) = 2*q + 27. Let y(h) = 8*c(h) - 3*o(h). Let w be y(-14). Solve -w*l - 14 = -p, 2*l - p = -6 - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*sqrt(242)*-3*-2 - (3 + (-1 + (sqrt(242) + -1 - sqrt(242)))**2)) + 1).\nAnswer: -198*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, e: 3}. Give prob of sequence eeea.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {b: 4, r: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.61411406 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5503477 centuries to years.\nAnswer: 55.03477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Let d(h) = 3*h**4 - 78*h**3 - 79*h**2. Let u(i) = d(i) - 2*r(i). Factor u(l).\nAnswer: 3*l**2*(l - 27)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/7 + 3704*m**2\/7 = 0. What is m?\nAnswer: -1852, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 2, 6, -3 in ascending order.\nAnswer: -3, -1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1070671, 1\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-6)\/(sqrt(9) + -1*sqrt(225)) - (sqrt(32)*-4 - (sqrt(250) + sqrt(10))\/sqrt(5)))**2.\nAnswer: 2809\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/363550 and 13\/2799335?\nAnswer: 27993350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -153 + 2?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 7}. What is prob of picking 2 o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*u + g, 6 + 9 = -u + 4*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-378)\/216*-14*-2\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1716650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 - -a?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433700 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1682*j**2 - 560*j**2 - 564*j**2 - 557*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 39. Let j be d(19). Solve j = -2*m - 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 32 = 3*u, 0 = -0*u - u + 3*x + 19. Suppose -u*w - 8 = 0, -4*w - 5 = -5*o + 8. Sort -3, 2, o in decreasing order.\nAnswer: 2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -134*(108\/(-184) - (-4)\/46) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28490*u - 1638 = -28448*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 21241?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 11837*n.\nAnswer: -11837*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3.2. Let k = -53 - -32. Let s be 7\/k + 1\/2. Sort o, -3, s in increasing order.\nAnswer: -3, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005349753 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 - 5. Let c(w) = 3*w**2 - 2. Let u(y) = 5*c(y) - 2*n(y). Let k(f) be the second derivative of f + 0*f**2 + 1\/6*f**3 + 0. Give u(k(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*i = 1, -i - 1 = -0*j - j. Let w = -1 + j. Suppose x = 4*h + 1, 3*h + 2*x = -w*h + 15. Which is bigger: h or 3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 0*j**3 + 0*j**3 + (-2*j + 2*j - j)*(5 - j**2 - 5))*(-403 - 109 - 1344) + 2*j**3 - j**2 + 0*j**2 + 0*j**3 + 2*j**3 - j**3 + 0*j**3.\nAnswer: -3709*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 1. Let k(d) = -2*d - 2. Let i(b) = -3*k(b) + 3*t(b). Let x be i(-7). Does x = -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -30) + 6\/2. Suppose 39632 = v*k + 5528. 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 next in 4151, 4220, 4293, 4370, 4451, 4536, 4625?\nAnswer: 4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*n + 146 + 133 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 1}. What is prob of sequence gf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298791?\nAnswer: 11, 17, 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 5*f**2 + 4*f**2 + 0*f**2 - 1 - 5*f**3. Let w = -83 - -82. Calculate u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262772.\nAnswer: 2, 179, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10205 and 3510.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**3 + p - 28. Calculate l(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19409 is divided by 182.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -14*u**3 - 125*u**2\/2 + 3*u + 2380. Factor l(j).\nAnswer: -(j + 3)*(42*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23604513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -154402138\nAnswer: -2\/77201069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3545574690 to the nearest integer?\nAnswer: 59545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*x**6 - x**5 - 108*x**2?\nAnswer: -10200*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/10 (b) -1\/416 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 269, 611, -215 in decreasing order.\nAnswer: 611, 269, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.023, 2\/9, -4130, -0.9 in decreasing order.\nAnswer: 2\/9, -0.023, -0.9, -4130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 50783.889 to the nearest 10.\nAnswer: 50780","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h + 1. Let w be j(2). Suppose -4*a = 12, -a - 308 = -5*u - 90. Let z = 47 - u. Sort -12, z, w.\nAnswer: -12, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.9766 micrograms to grams.\nAnswer: 0.0000629766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/25*0)\/(4\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158369541 take away 13?\nAnswer: -158369554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 2*h**2 + 2*h + 2. Let d be (-2 + -4)*8\/(-12). Suppose 2*q + d = -0. Give f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*j, 2*k - 1 = -j - 4. Suppose k = 3*h - 5. What is the second derivative of 1 - 2*d - 2*d**h - 2 + 1 wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/8, 14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-12)\/(j\/j**(-1\/2)) assuming j is positive.\nAnswer: j**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 5, 3.\nAnswer: -88, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -15 - (-8 - (-5 - 2))) + 10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1406*g - 1406*g + 49*g**3)*((3*g + 2*g + 0*g)*(0*g - g + 0*g) + 2*g**2 + 2*g**2 - 2*g**2).\nAnswer: -147*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 825*n - 1051*n**4 - 2*n**2 - 1650*n + 827*n to s*n**3 + a*n**2 + f*n + o*n**4 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 0.4 (c) 0.1 (d) -492 (e) -88\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2274 and 2796.\nAnswer: 1059684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742021?\nAnswer: 1742021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 42*z**2 - 77*z**2 + 1 - 3*z**4 + 0*z + 34*z**2 to p*z + c + h*z**2 + k*z**3 + a*z**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/2)\/(((-138)\/76)\/23))\/((-2)\/6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54247 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6605 + 6616. Solve 8*b + y = 75 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78\/52 + 209\/2 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in 0.3, -335, -17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1470)\/12)\/(-7) + 2\/4 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -9. Suppose j = -3*i - 2*i + 1325. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 + 2 + 134)*(2 + 0 - 4)*(2 + 1 - 2)*(2*j - 4 + 4) to the form l + v*j and give v.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 231*u - 167. Is t(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 + -153.62. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-268)\/(-4) - (-2 + -1). Suppose -3*h - z = -5*h. Suppose -h = -3*s - i, 4*s - 18 = -i + 27. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + 41. Suppose 3 = 3*y, 0 = -0*t + 5*t + 3*y - 13. Suppose -i - t*i = -9, 0 = 5*c - i - 27. Calculate the highest common factor of c and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1\/6, 0.2, -0.3, -54\/3857 in decreasing order.\nAnswer: 2\/9, 0.2, -54\/3857, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2\/5 (c) -4.88 (d) 1 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -2*o + 6, 5*a + 18 = 4*o. Let u be 0\/(1*3\/3). Suppose u = o*g + 1 - 9. Calculate the greatest common factor of g and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369 divided by -1017?\nAnswer: 41\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33865 + -33589. What is the highest common factor of v and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3625, -1, 5, 3 in descending order.\nAnswer: 5, 3, -1, -3625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 17*w**5\/20 + 187*w**3\/3 - 317*w**2. Differentiate s(m) with respect to m.\nAnswer: 102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - -1a?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 762624 - -4?\nAnswer: 762628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + 31*h + 1 - 3 + 4 + h**2 in the form u + g*h + j*h**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (1 + 25 - (-2 + 33))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 777 - 895 = 18*l for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*v + 32. Suppose -3*a + y + v = -0*a, 4*a - 18 = -2*y. Is 634 - (13 + -1)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6 + 4*q + 0 + 6. Let t(s) = -2*s. Calculate t(a(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*x - 12*x = 981*x + 54726 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 1 + 3 = 0, p + b + 2 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 114, 87, 60, 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10038561 and -37449.\nAnswer: 10001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 0, -u - 9*l = -6*l - 2. Solve 2*x = -u*o + 10, -4*o + 2*x - 81 = -71 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*y**2 + 786*y**2 - 15*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q + 3*q - 4*q)*(1 - 1 + 2*q) - 2*q**2 - q**2 + 0*q**2 + 2*q**2 + q**2 - q**2 in the form m*q + w + u*q**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4967, -9960, -14953, -19946?\n\"Answer: -4993*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 139*d - 1001 = 1351 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11165 is divided by 5558.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 + 143. Let g = 3 - o. What is the closest to g in -2, -21, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**3 + 5*k**2 - 6*k + 2. Let v(o) = -o**3 + o**2 - o. Let b be 4\/30 - 6683\/(-615). Suppose b = -5*m + 36. Determine m*v(j) - w(j).\nAnswer: -j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 13. Let v = -7 + -5. Let i be (-8)\/1 + 84\/14. Put g, i, v in descending order.\nAnswer: g, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471192065?\nAnswer: 5, 43, 541, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1243 (b) -46.56 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/377 + 78\/(-2262)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -775964?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 227475?\nAnswer: 1\/45495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 3 + 3 + (2 - 5 + 2)*(6*v**2 - 3*v**2 - 5*v**2) + (-6*v - v + 2*v)*(2*v - v + v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-23 - -25 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 21*g + 1971. Determine d(19).\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 13*m + 15. Suppose -4*h - 60 = -5*d - 8, 3*d + 3*h - 42 = 0. Let n be k(d). Differentiate -u**n - 6*u**3 + 1 + 42 + 13*u**3 wrt u.\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = -10*u + 323. Solve -u*r = 23*r - 87 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000389878 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 7*w + 2. Let b be x(7). Let j(g) = -3*g**b + 0 + 0. Let i(f) = -10*f - 12. Let d(q) = -q - 1. Let y(a) = -12*d(a) + i(a). Determine y(j(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**9\/1512 + x**8\/280 - x**7\/140 + x**6\/180 + 5*x**3\/6 + x. Let k(p) be the second derivative of s(p). Factor k(a).\nAnswer: -2*a**2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*j - 3*h - 6, -4*h = -j - 20. Suppose j = -3*g + 2*y + 4 + 13, 2*g + y - 2 = 0. Solve -g*i - 4 = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**3 - 20*n**2 - 6*n - 18. Let f(y) = -y**3 + y**2 + 7*y - 4*y + 1 - 4*y. Let l(q) = 20*f(q) + 2*t(q). Determine j, given that l(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-178)\/(-11481) + 8780\/(-516).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydd when three letters picked without replacement from {y: 3, d: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0217 - -3.9997. What is m rounded to one decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 6*d**3 - 3*d - 3*d**3 - d**3 in the form m*d + c*d**3 + f*d**2 + z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5371668 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4 + 94450*p**3 + 1487523828*p**2 + 7824342042136*p + 179174115477584 = 0?\nAnswer: -15734, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 11:32 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-558) + (-10846)\/253518?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/15 + 3*r**2 + 75. Let f(x) = 5*x. Let h(b) = 2*b - 2*b - b. Let u(k) = -f(k) - 6*h(k). What is z(u(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 times 421?\nAnswer: -109881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 54 = -3*g, -2*u + 54 = -0*u - g. Let f be (-2 - 2)\/((-20)\/270). Let p = f + -2. What is the remainder when p is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**3 + 2*d - 62*d**3 - 2*d + 155*d**3 - 23*d**3 + d.\nAnswer: 31*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*(-48)\/(-10)*(-16)\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -13 - (3 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9978049cm to meters.\nAnswer: 0.009978049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5830\/3409 + 2\/487. What is the third smallest value in 0.5, 0.1, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 83 - 19 = 0. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193.68 + -197. Let n = c - 0.08. Let l = -7.4 - n. What is the second biggest value in l, 1\/2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 517*h**3*i**2 - h**3 + 4*h**2 - 1089*h*i + 49*i**2 wrt i?\nAnswer: 1034*h**3 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a1 + -4?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*b**2 - 13921950*b - 4640649.\nAnswer: -3*(b + 1546883)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by 1467902.\nAnswer: 77\/1467902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -34, -34, -48, -82, -142, -234?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(150)\/sqrt(48)*-5)\/((2*sqrt(110))\/sqrt(11) + sqrt(50)\/(sqrt(5)*-1) + sqrt(10)).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1536 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 21 = 99. Is f at least as big as 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 9972767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -3. Suppose a - r = 17. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -22*j**3 + 7*j**2 + 7*j - 4. Let b(l) = 7*l**3 - 2*l**2 - 2*l + 1. Suppose 5*y - 20 = 0, 0 = 3*a - 5*y + 18 + 8. What is a*d(u) - 7*b(u)?\nAnswer: -5*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56552563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-2)\/sqrt(2) - (-2 + (-3 + sqrt(22)\/sqrt(2))**2).\nAnswer: -18 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let f(o) = 23*o**2 + 6*o + 6. Let p be (32\/18 - -4) + (-2)\/(-9). Let c(q) = q**2 + q + 1. Let m(g) = p*c(g) - f(g). Determine k(m(a)).\nAnswer: -51*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g = 5*g + 50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 k when three letters picked without replacement from xkxkkkxklkxxkxklxxx?\nAnswer: 96\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 6 = 0, 11*r = 6*r + 4*b + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.024, -21\/10 in increasing order.\nAnswer: -4, -21\/10, 0.024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)*(-6)\/(-2). Let r be 5 + (a - -2) + 1. Solve r*n - n = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**4\/4 + 5*z**3\/3 + 8*z**2 - 12*z - 34. Let w be d(7). Solve -4*j = -4*b + 32, -4*b + 13 = -w*j - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 2. Let t be u(0). Suppose -18 = -2*p - 2*x, -t*p + 7*x - 3*x = -12. What is the lowest common multiple of p and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30672 - 19125. Calculate the least common multiple of f and 9.\nAnswer: 11547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.36 - 146.\nAnswer: -129.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/5 + (-12372)\/5155?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.582 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.8 times -998652?\nAnswer: 22769265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0014*90\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/413755 or -1?\nAnswer: -22\/413755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1832*n - 825 = -1777*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*k + 180*k - 358*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4681 - -4729. Calculate the highest common divisor of 656 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210119 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4552 - 4552. Let w = -155293\/87 + 1785. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18462713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 136, 3, 5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqgq when four letters picked without replacement from {q: 2, s: 4, u: 10, g: 1}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/11 + 8*q**4\/11 + 10*q**3\/11 + 4*q**2\/11 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439292?\nAnswer: 2, 7, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -8. Let r = -23 + 41. Let w = h + r. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 5, 13, -6, -2125?\nAnswer: -2125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.28 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -2\/3 (c) 5 (d) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 58. Let h = -64 + f. Solve -h*x + 3 = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13088 minus -581?\nAnswer: -12507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 - 4*b**3 - 3*b**3)*(2*b - 5*b + 2*b) + 165*b**4 - 138*b**4 + 6 - 2.\nAnswer: 29*b**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -86021773 greater than -86021772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**2 - 43*q + 117. Determine k(-10).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -254935\/1768 - -3737\/26. Find the common denominator of -87\/8 and y.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**4\/4 - m**3\/3 - m**2\/2 + 2*m + 35. What is the remainder when 42 is divided by v(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4*c + c)*(79*c**4 - 78*c**4 - 5*c + 5*c - 181*c**3).\nAnswer: -2*c**5 + 362*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (50\/(-15))\/((-4)\/522). Let c be (-2)\/14 + l\/105. Suppose -c*g + 7*g = 180. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**6\/2 - 21*p**5\/10 - 113*p**4\/4 + 49*p**3 + 36*p**2 + 5*p + 248. What is l in j(l) = 0?\nAnswer: -4, -1\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -18, -73, -184, -369, -646, -1033, -1548?\nAnswer: -2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 26*d**4 + 62*d**3 - 64*d**2 + 24*d = 0. Calculate d.\nAnswer: 0, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d + 3*p + 11, 54*d = 56*d + 4*p - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 1\/24*t**4 + 0*t + 5\/6*t**3 + 0 + t**2. Calculate the lowest common multiple of d(5) and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9070923 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159784 divided by 4.\nAnswer: -39946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1431.52644 to 0 dps.\nAnswer: -1432","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -86. Let n(f) = f**3 - 3*f**2 - 4*f + 5. What is the units digit of n(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 17*l - 20*l + 232, 4*l + 4 = 0. Suppose -4*w = -5*y - 217, 4*w + 111 + 77 = -4*y. Let q = y + t. Let r(b) = 3*b**2 - 4*b + 2. Give r(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 924.667 + -924. Let y = 0.067 - b. Does y = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5985051 + 5980410 = 44*l - 5*l for l.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 6*s**2 + 13*s - 23. Let h be t(-8). Suppose 3*n - h - 4 = -2*x, 0 = -4*n - 5*x + 9. Put -4, 11, n in ascending order.\nAnswer: -4, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -178*t - 297. Let u(v) = -265*v - 445. Let s(b) = 7*c(b) - 5*u(b). What is the first derivative of s(p) wrt p?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:11 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v, -f - 3*v + 36 = 2*v. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5961894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 3*w = 15*r - 2552, 3*w - 5104 = -4*r. Is 29 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23 - (1 + 0 + 0). Let m = d - 4. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -16130, 1, -0.2, -13\/6 in descending order.\nAnswer: 1, -0.2, -1\/2, -13\/6, -16130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-10 - -3) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -588, -2091, -4508, -7839, -12084?\nAnswer: -17243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 9367750?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -24*p - 792. Let h be y(-42). Calculate the greatest common divisor of h and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.5, 3, 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81405416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1104)\/1357)\/(-16)*48\/16*(-4)\/12?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13376587.\nAnswer: 7, 1910941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 66, 1\/15, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58, 113, 168, 223, 278, 333?\n\"Answer: 55*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -2\/11 (c) 0 (d) 24361766\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 3*i**2 + 5*i + 3. Let l be d(-3). Let p be 2*10*(-3)\/l. Solve -y - p = 3*c + 3, -5*y + 5*c = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -0.08, -27, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(5 + (-4 - (1 - 1))). Which is the second biggest value? (a) -2 (b) 0.1 (c) 3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 4, d: 2, x: 1, v: 1, u: 3}. Give prob of picking 1 u and 1 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**2 - 2416*a - 3*a**4 - 66*a**5 - 1376*a**3 + 8*a**2 - a**2 + 1380*a**3 wrt a.\nAnswer: -3960*a**2 - 72*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -21. Solve 0 = 3*n + x, 0*l - 3*n = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-1*(-14)\/(-28)*0. Solve 0 = 4*u - v*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.1908054 and 0.1?\nAnswer: -0.41908054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lul when three letters picked without replacement from {u: 4, l: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/669?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -20*v - 4. Let y(m) be the first derivative of 0*m - 110 + 0*m**2 + 2\/3*m**3. What is p(y(c))?\nAnswer: -40*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/21 (b) -38\/13063 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 + -77. Suppose 5*a - 59 - n = 0. Let s = -14 + a. Calculate the least common multiple of 16 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Suppose 5*d - 140 = -g*d. Let v be 10\/45 + d\/(-18). What is the biggest value in v, -0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25 and -121.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 7*q - 11. Calculate a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85883?\nAnswer: 7, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83060593 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162905 (base 13) to base 8.\nAnswer: -2057343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 12:57 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from werkkrrrrkrw. What is prob of sequence wkr?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 2*z - 1. Let h(a) = -a**2 + 3*a + 2. Calculate 3*c(k) + 2*h(k).\nAnswer: 4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, s: 3}. What is prob of sequence ssl?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srkriksrryrsr. What is prob of sequence skyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539217905.\nAnswer: 5, 5507, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/3)*d*d*d**7)\/(d*d*d**(-4)*d**2)*((d\/(d*d*(d*d\/(((d*d**(2\/7)\/d*d*d*d)\/d)\/d)*d)\/d*d))**2)**(-2\/37) assuming d is positive.\nAnswer: d**(8257\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-245)\/(-115)) + (-74)\/(-14) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - -2) + (-1 - -2). Let l(s) = 6*s - 25. Let v be l(a). Are v and 35 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326119.2 kilograms to tonnes.\nAnswer: 326.1192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010221120 + 102?\nAnswer: -1010221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbnnbbbbbb. Give prob of picking 2 n and 1 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 61, 2, -338, -87, 5.\nAnswer: -338, -87, -2, 2, 4, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 + 163. Calculate the lowest common multiple of q and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2 - (-26 - -37 - 16)) + -2 + -38?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/4 - 8*v**3\/3 + 7*v**2 - 5*v. Let u be m(-6). Factor -4\/5 - 9*j**u + 5*j**3 + 24\/5*j.\nAnswer: (j - 1)*(5*j - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 140 = -6*p. What is the remainder when (0 + 1)*(-198)\/(-2) is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/39)*k*k\/k**(-30)*k\/(k**(-2\/13)\/k)*k**(1\/33))**(-3\/19) assuming k is positive.\nAnswer: k**(-14643\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 468015 <= 468010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92.415 + 0.7449.\nAnswer: -91.6701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbsobblolll. Give prob of sequence ls.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*r + 2*u + 138, 2*u = 5*r - 182. Let v(n) be the first derivative of 3*n - 9\/2*n**2 + r. Differentiate v(i) with respect to i.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**3 + 15. Let x = -6 - -12. Suppose -v - 2*v = -75. Let y = v + -12. Let u(m) = 2*m**3 - 7. What is x*c(w) + y*u(w)?\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 13 - 7. Suppose g = h - 1, -4*g + 6 = r*h - 7*g. Suppose 0*w + h*w = 174. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920973 is divided by 985?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 3*d + 2*d)*(-3 + 1 + 1) + (-d + 0*d + 6*d)*(-2 + 9 - 49) + (1 + 1 - 1)*(-2*d + d + 2*d) in the form m + n*d and give n.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 1883*u - 17 - 25 = -1885*u, 4*u = 3*m + 5*u - 25 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaffaa. What is prob of sequence afaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257406.\nAnswer: 2, 3, 42901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239476 is divided by 2693?\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 5246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**6*b)\/(b*b**(-6)*b))\/(b**3\/(b*b**(-3\/7))))\/(b**(-1)\/b*b*b**(-1\/7))**(-1\/14) assuming b is positive.\nAnswer: b**(514\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/20 + 11\/120. Let u(z) be the second derivative of 0*z**2 - 3*z + 0 + 0*z**4 + 1\/80*z**5 - q*z**3. Determine g so that u(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 6*4 - 4. Let g = 30 - r. Suppose 84 = -7*t + 19*t. What is the remainder when g is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -212*q**3\/3 + 12*q**2 + 4*q + 1. Find the second derivative of g(c) wrt c.\nAnswer: -424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8437 is divided by 850.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + -9 + 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let v be (-10 + 8)\/(-1 - d). Suppose v = -3*l + 17. Sort 4, l, 1 in increasing order.\nAnswer: 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 - 4)*(-38*k**2 + 18*k**2 + k**2).\nAnswer: 266*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089702 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 296007940.5 rounded to the nearest one hundred thousand?\nAnswer: 296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t + 2*p = 196, -588 = -3*t + 5*p. Calculate the smallest common multiple of 20 and t.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 15, l: 3}. Give prob of picking 2 t.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + u + 15, 6 = -4*u - 14. Suppose 4*o + 1047849 - 5447852 = b, 0 = -w*b - 6. What is o rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m = 521952 + 58591. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2\/5 - 85432*d\/5 - 547584 = 0. Calculate d.\nAnswer: -32, 21390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36411000 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 268, 343, 470, 673, 976?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/6*((-30)\/(-70) - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-65)\/(-26))\/(5\/(-12)*-3). Suppose -2*q - q + 3*o = -8166, -y*q = 5*o - 5444. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**3 + 7*w**3 + 2 - 4 + 26*w - 1595*w**2 + 1595*w**2 to k*w**3 + v + j*w + g*w**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9255, -37004, -83251, -147996, -231239?\n\"Answer: -9249*b**2 - 2*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/4 - 140449*x**4\/4 + 134843133*x**3\/2 - 43419538891*x**2 + 9335161320874*x = 0. What is x?\nAnswer: 0, 646, 138511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let k be (-9)\/(-2)*8\/6. Let z(a) = 16 - 65 + 14 + 7*a + 12 + 3 + 15. Determine k*c(l) + z(l).\nAnswer: l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -208*k - 26376. Let b(v) = 3*v + 7. What is the least common multiple of b(5) and y(-127)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 19*s**2 + 306*s - 1499. What is t(28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*z**3 - 41*z**3 + 82*z**3 - 8*z**2 as a*z**2 + d*z**3 + m + v*z and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111111101000000 (base 2) in base 13?\nAnswer: -23986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 78 = a - 99. Let o(k) be the third derivative of -9*k**2 + 0*k**3 + 0*k + 1\/30*k**4 + 1\/50*k**5 - 1\/525*k**a + 0*k**6 + 0. Factor o(q).\nAnswer: -2*q*(q - 2)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*l - 45847 + 237568 = 0, m - 38346 = -l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29\/232 + 2062\/16 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-19 - (-7 - -1)) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 61. Let d = q - 38. Solve c - 2*x + 4 = -c, -d*x + 12 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 7*d**2 + 6*d - 114. Give n(0).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/120 + j**5\/30 - j**4\/12 + j**3\/6 - j**2. Let r be u(2). Calculate the common denominator of (-114)\/(-28)*1\/r and 9\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 0*p**3 - 2*p**3 + (2492*p**2 + 2501*p**2 - 26*p - 4994*p**2)*(0*p + 2*p - 4*p) to the form d*p + z*p**2 + k*p**3 + n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-3) + 5)*1. Let f be y + -1 + 1\/(-1). Let j(k) = -k**3 + 4*k**2 + 6*k. Does 5 divide j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4356 + 4355.8. Which is the closest to 0.1? (a) -0.106 (b) 0 (c) l (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*m + 2 + (3 + m - 3)*(2 - 2 - 1) + (5 + 2*m - 5)*(2 - 2 + 3) to g*m + s and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.33 and 0.045.\nAnswer: -0.01485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 + 138\/30. Calculate the highest common factor of 15 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:52 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*((o**(-3)\/o)\/o*o)\/o)\/(o*o\/o**(-3)*o*((o**4*o)\/o*o)\/o) assuming o is positive.\nAnswer: o**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**7\/2520 + s**6\/360 + s**5\/120 - s**4\/4 + 3*s. Let y(v) be the third derivative of c(v). Give y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, and 1 y when three letters picked without replacement from {o: 2, l: 1, c: 1, y: 2, f: 1, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 542\/813 + 1 + -1. Which is the closest to 0.097? (a) -4 (b) r (c) 8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 = -38*y - 6*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 20. Let g be n(-8). Solve 3*m = -j - g - 2, -j = 5*m + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*h + 14, 1 = 5*h - p - 4. Let t be (2 - 2 - -3) + -2. Solve -m = -t + h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaapapa. What is prob of sequence aaap?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 695 - 716. Let c(d) = -2*d - 41. Give c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2707, -5414, -8119, -10822, -13523?\n\"Answer: c**2 - 2710*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5\/8, -7\/5, 2 in decreasing order.\nAnswer: 2, -0.1, -5\/8, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -700 and -0.152893.\nAnswer: -700.152893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*q, -5*q = -4*b - 0*q - 40. Let g be ((-5)\/(b\/(-72)))\/(-2). Is 13 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzz when four letters picked without replacement from {z: 4, l: 3, d: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -w - 7*w. Which is bigger: w or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -959523*l**3*t**2 - 23*l**3 + 30575*l**2 + l + 8*t**2 wrt t?\nAnswer: -1919046*l**3*t + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 10:29 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiaiiiaiiaiii. What is prob of sequence iaa?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*h - 23 - 29, -4*t + 5*h = 81. Suppose -j - 7 = 1. Let o = j - t. Calculate the lowest common multiple of 3 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 2*d + 3*d + 3*d - 10*d**2.\nAnswer: -6*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 - 7*z - 18. Give a(-4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*l**3 + 191381 - 191381 - 17*l in the form m*l**3 + j*l + k + p*l**2 and give m.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -228*n + 169 + 151. Let u(m) = -m**3 - 4*m**2 + 6*m + 7. Let q be u(-5). Sort -2, n, q, 5 in descending order.\nAnswer: 5, n, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/16 + (-45)\/(-40) + 1. Suppose o*n - 71 = -75. Which is the closest to -1\/4? (a) 8 (b) n (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -368*q - 1161. Is y(-83) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 32*g**2 + g. Determine t(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2467312 and 78208.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2711 (base 11) to base 10\nAnswer: 3521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9482665.\nAnswer: 5, 409, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + t**2 - 3)*(2 + 1 - 5 + (1 - 5 - 2)*(4 - 2 - 3)) as n + u*t + r*t**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.25, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1360, 1352, 1344, 1336?\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26fa (base 16) in base 10?\nAnswer: -9978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5052 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-9))\/(20\/725) and 19 + -14 - 252\/(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-1)*((-65)\/(-10) + -7). Let t = 4 + 31. Calculate the highest common divisor of t and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*4.7\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 269207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x**5\/9 + 548*x**4\/9 - 620*x**3\/3 - 200*x**2\/9 + 1850*x\/9 - 116\/3 = 0.\nAnswer: -58, -1, 1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 5*w**2 + 5*w + 13. Let b be t(-5). What is the tens digit of ((-82)\/(-6))\/((-2)\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3 + -1 - -1) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 20512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5654 + -5653.84. Which is the nearest to 0.1? (a) w (b) -0.4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018282 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -136*x**2 + 570*x - 9. Determine n(4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-22 + 18)) + (2 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1189986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (112\/2208)\/((-11)\/((-99)\/21))\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26932448 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 11084?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000139896949 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2046*z + 814 wrt z?\nAnswer: 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*q - 87, 53 = 3*z + 4*q - 31. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100107172?\nAnswer: 2, 11, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 330, 3340, 11726, 28176, 55378, 96020, 152790?\n\"Answer: 448*o**3 - 126*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1005 = -3*v, c - 3*c - 673 = -3*v. Let x be -1 + (0 - 1*c). Suppose 0 = 3*m + 15, 2*i - x = -3*m - 24. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -283 + 283.055. Let t = 0.245 + p. Which is the smallest value? (a) 3\/2 (b) t (c) 16 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1424 + -351. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17*o + 9. Let k(m) = -4*m - 2. Let l(b) = 9*k(b) + 2*z(b). Let c(s) = 187*s**2. Calculate c(l(x)).\nAnswer: 748*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 10*s + 27. Suppose s*w - 7 = 2*w. Is 5640\/75 + w\/(-5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 - 195 + 77270616*u**3.\nAnswer: 77270616*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-334)\/(-8) + 2\/8. Let v = 3029789\/10 + -302975. Find the common denominator of v and -1*(w\/(-16) - -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79852 by -2.\nAnswer: -39926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.97 - -0.114. Let b = 0.044 - p. Let k = 0.1 - 1.1. Sort k, b, 0.2 in descending order.\nAnswer: b, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 59. Let c(v) = -v**2 + 10*v - 3. Let x be c(r). Suppose 0 = -x*g + 5*g + 200. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2292*b + 6 = -2298*b, 9*s = 2*b - 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 a, and 1 h when three letters picked without replacement from phcam.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and -6.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**3)\/b)**15\/((b\/(b**(-1\/28)*b))\/(b\/(b*b**(-1\/9)*b)*b)))**(-29) assuming b is positive.\nAnswer: b**(-329411\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 22*i**2 + 25*i + 46. Let r be c(-23). Suppose r = -3*p - 0*t + 2*t + 7387, 0 = 5*p + t - 12290. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-4 - 0) + (-9)\/(-3). Let c be 3\/9*(-9)\/6*h. Solve 2*g = c*b - 0*g - 2, -5*b + g + 1 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.311 litres to millilitres.\nAnswer: 686311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**5*t - 211*s**2*t**3 - 2*s*t**3 - 37*s*t**2 wrt s?\nAnswer: 20*s**3*t - 422*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 5*b - 7 + 3 + 50*b as t*b + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62.2 or 1?\nAnswer: -62.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*1035\nAnswer: 3105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 315913099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 56871463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r - 4. Suppose -53 - 87 = -r*p - 4*j, -2*p + 67 = 3*j. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvllvllllvlzlvllzzll. What is prob of picking 1 z and 1 v?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert b42 (base 13) to base 4.\nAnswer: 131321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2683.5 - -2683. Which is the third smallest value? (a) -3 (b) k (c) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23865, -45628, -67393, -89160, -110929?\n\"Answer: -h**2 - 21760*h - 2104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6.4, -0.3, 0.3, -5, 454 in increasing order.\nAnswer: -5, -1, -0.3, 0.3, 6.4, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(16\/(-4) - -1). Suppose -u = -r + 1. Find the first derivative of -16 - 5*f**r + 4 + 4 - 3*f**2 wrt f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((29\/319)\/((-1)\/11))\/(2\/(-30))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 9. Let a(u) = 6*u**2 - o*u + 3*u - 4*u**2. What is the units digit of a(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r**6*r*r)\/r*r*(r**(2\/7)\/r*r)\/r*(r**(1\/2))**(-23) assuming r is positive.\nAnswer: r**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 25*s**2 + 36*s + 185. What is x(25)?\nAnswer: 1085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*r = 127*r - 6. Let q(z) = r*z + 12*z - 3*z + 0*z. Let s(m) = -5*m. Let c = 7 - 16. Determine c*s(i) - 4*q(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149770463.\nAnswer: 4637, 32299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 222*q**2 + 227*q**2 + 0.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 3*o + 87, 2*a - o - 7161 = -7193 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:22 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/4)\/((-1)\/(-2)). Let y(c) = 15*c**2 - 7*c**2 - 1 + 5*c + c**3 - 7 + 1. What is the units digit of y(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -1.9. Let r = j + 8.9. Let h = -8 - -7. Sort h, -4, r.\nAnswer: -4, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 990 + -281199?\nAnswer: -280209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 80*n - 442. What is g(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6104a (base 12) in base 4?\nAnswer: -132303322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 3*m**3 + m**3)*(-3*m + m + 4*m)*(322*m + 481*m - 198*m).\nAnswer: 2420*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/131950 and 157\/14460.\nAnswer: 190799700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1720964 to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 1. Let l = n + 2.7. Let h = -0.06 + -0.44. Which is the third biggest value? (a) h (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-24))\/((-8)\/64)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 8*p**2 + 18*p - 14. Let n be z(-10). Suppose -n*s + 1026 = -1344. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**5\/60 - b**4\/8 - b**3\/6 + 106*b**2 + 211. Let f(y) be the second derivative of n(y). Determine f(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-36)*-2)\/((-3016)\/(-4524))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkk. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25)\/(-50) + 23754\/12 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(567) + -3)*-5 + sqrt(567) + sqrt(63) + 0 + 2 + 2)**2.\nAnswer: -1518*sqrt(7) + 8152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**2 + 0 + 0*l - 3\/56*l**8 + 1\/20*l**5 + 0*l**4 + 0*l**7 + 0*l**6 + 0*l**3. What is the third derivative of i(w) wrt w?\nAnswer: -1080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44 - 18*f**3 - 6 - 18 wrt f?\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 9:13 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*t)**(14\/9)*(t*t**(3\/5)\/t)**(2\/19))**31 assuming t is positive.\nAnswer: t**(207824\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298106 is divided by 74517?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2797*o = -31300 - 251197 for o.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-134 + 122)\/(0 + -1). Solve 0 = -s - 3*m - o, 27*s + 5*m + 20 = 22*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 4. What is t(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 + 4*d - 3*d + 0*d - 4*d + 3*d + 2*d + (4*d + 4*d - 6*d)*(4 - 1 - 1) - 24 + 24 - 13*d.\nAnswer: -7*d + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(3 + -1 + -2). Suppose 132 = 4*f - w*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1 + (-13)\/4. What is the second smallest value in y, 2, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 334\/(-60) - (-3)\/(-6) and (-6)\/(-28) + -18*(-1749)\/41580?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 7\/93 (c) -13 (d) -4337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Let r be (954\/(-10))\/(t\/(-15)). Calculate the common denominator of (6\/99)\/(6\/r) and 20\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**2 - 2*m + 1. Let u be (12\/18)\/((-4)\/(-6)). What is a(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 5*z = 3*z. Suppose -a + 91682 = 4*q + a, -4*q + a + 91685 = z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27981 or 30354?\nAnswer: 27981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 1. Determine i(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -226062.\nAnswer: -226063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*o**2*r*y**3 - 16*o**2*y**3 - o**2 + 17*o*r*y**3 - 2*y**3 wrt r.\nAnswer: -3*o**2*y**3 + 17*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3546\/2955 - 296\/230?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -212*b**2 - 2*b + 2. Let o(u) = -101971*u**2 - 963*u + 963. What is 963*h(s) - 2*o(s)?\nAnswer: -214*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8253 + 2987. Let k = v - -3663. Let r = -564 - k. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**2. Let q(h) = -955*h**2 - 5*h. Let g(x) = -18142*x**2 - 94*x. Let v(y) = -5*g(y) + 94*q(y). Determine u(v(j)).\nAnswer: 7068800*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4411 (base 6) to base 12\nAnswer: -707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 213228928*j - 2841660983501824.\nAnswer: -4*(j - 26653616)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2581363 is divided by 627.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -251 + 271 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Suppose -o*l = 8 - 28. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199759026 is divided by 9732.\nAnswer: 9726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -462 + 459. Which is the nearest to 0? (a) v (b) 9 (c) 0.5 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 22909710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-12))\/(2\/12). Suppose 3*y = -0*v - 4*v - 20, 0 = -5*y + m*v + 15. Suppose -4*n - 62 + 538 = y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259698210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v**5\/7 - 138*v**4 + 25104*v**3\/7 + 377058*v**2\/7 = 0 for v.\nAnswer: -197\/2, -11, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 52287712?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j + 76*j - 5841 = 9144. What is the remainder when 164 is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 88*c**2 + 1422*c - 651. Calculate d(-102).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(sqrt(1216) + 0) + (1 + sqrt(1216))*3))**2.\nAnswer: 6000*sqrt(19) + 760225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818745 is divided by 684.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67736838, 67736837, 67736836, 67736835, 67736834, 67736833?\nAnswer: 67736832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i**2 + 8*i**2 - 3*i**3)*(4 - 3 - 2)*(-1 + 0 + 2)*(0*i**2 - i**2 + 0*i**2).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 7*b. Let r(j) = 5*j**2 - 22*j + 1. Let h(g) = 3*r(g) + 8*w(g). Calculate the remainder when h(-7) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -479.96 times 57\nAnswer: -27357.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 9*y - 7. Let i(r) = 5*r**3 - 17*r + 13. Calculate -6*i(t) - 11*v(t).\nAnswer: 3*t**3 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, j: 3}. Give prob of picking 2 d and 1 j.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, z: 5}. What is prob of sequence hhhh?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1322 and 4?\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -1)**2 - -2*sqrt(1539).\nAnswer: 2*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2502 (base 6) to base 4.\nAnswer: 21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2100001 (base 3) to base 9\nAnswer: -2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/1 + (-5 - -5). What is the highest common factor of h and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i + 5*a, -2*i + 4 - 5 = 3*a. Let m = i - -11. Let j be 2\/8 - 273\/(-28). Calculate the greatest common divisor of j and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201155861441 - -2\nAnswer: 201155861443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 28*j + 8. Let a be d(-28). Let h(y) = 2*y - 12. Give h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200022011122 (base 3) to base 14.\nAnswer: -95403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccchhchch. Give prob of picking 4 h.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97072 by -10.\nAnswer: 48536\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/48 and 67\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 20*n**2 - 5*n - 8. Let v be f(-5). Find the common denominator of v\/132 - 2\/4 and 33\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 3*z + 132. Let u be g(-13). Let y be (-1)\/(28\/(-56)*u\/(-6)). Let b(s) = 2*s + 11. Calculate b(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7211*a**4 + 3*a**3 + 13*a**2 + 1054879 wrt a.\nAnswer: 28844*a**3 + 9*a**2 + 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3124 and 26\/29?\nAnswer: 90596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -8. Suppose 4*z + 50 = c*u + 2, -2*z = -4*u + 72. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4954, -2, 5, 11, -1 in increasing order.\nAnswer: -2, -1, 5, 11, 4954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*d = 1110722 - 1124783 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -33*w - 5. Let c(x) = -67*x - 11. Let g be (-2)\/(-2) + 413\/(-59) - -10. Determine g*c(j) - 9*i(j).\nAnswer: 29*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784*k - 776*k + 408 = 0. Let w be (6\/2)\/((-7)\/(-175)). Let i = w + k. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 + -207. What is the second smallest value in 2, 0.01, a, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.5. Let r = -158 + 153. What is the closest to 0.3 in -0.3, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 108, 109, 110, 111, 112?\n\"Answer: r + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -0.2, -29, 16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 + 4*s**4 + 0*s**4 + 3*s**2 - 2*s**4 - s**3 - 2 in the form z*s + g + m*s**2 + n*s**4 + i*s**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 11:18 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1341452 and 2208?\nAnswer: 32194848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvll when four letters picked without replacement from {l: 6, v: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and 81842721?\nAnswer: 13913262.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202*f**2*g**2*n**2 + 477*f**2*g**2 - f*g**2*n**2 + 2753*f*n**2 - 3*g**2*n - 9*g*n**2 wrt f.\nAnswer: -404*g**2*n**2 + 954*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-2)\/(-12)))\/(18*8\/(-360))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 14. Calculate the remainder when s\/(-15) - 616\/(-12) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**2 - 383 - 150*d**5 + 150 + 187 + 0*d**2 wrt d?\nAnswer: -9000*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 2:19 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.271, 4\/9, -3\/8, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 + 2*t**2 + 0*t - 24 - 221 - 92 - 2*t.\nAnswer: t**3 + 2*t**2 - 2*t - 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - 2.2. Let r(z) = -9*z + 75. Let k be r(9). Sort m, 3, k in ascending order.\nAnswer: k, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a22 - -15?\nAnswer: a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 5\/453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*x**3 + 7*f*x**2 + 103*f*x - 2*f - 29788*x**5 + 74*x - 2 wrt x?\nAnswer: 6*f*x + 14*f - 595760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i**3\/4 - 10*i**2 + i = 0. Calculate i.\nAnswer: -2, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 3. Let b be k(7). Suppose b*j + 101 + 3 = 0. Let y = 39 + j. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5054*v**2 + 3*v + 2. Let n(x) = 25261*x**2 + 16*x + 11. Determine -2*n(z) + 11*r(z).\nAnswer: 5072*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -12*y + 4. What is i(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8865 divided by -591.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 13, 4, 5, -2.\nAnswer: -4, -2, 4, 5, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -14 (c) 1\/4 (d) -59 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*g = -226*g - 288. Let i(j) = -j**3 - 6*j**2 + 2*j + 1. Let b be i(-7). Calculate the greatest common divisor of b and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 2*p + 3486 - 3496, -4*c - p = -7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70 + (-12710)\/(-248))\/((-10)\/(-48)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 995 = -3*s, -4*s = 3*h - 1486 + 201. Solve -336*y + s*y = 88 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(-29)*(-1)\/2*2016\/36.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 + -89. Differentiate -14 + 7*l - m + 9*l + 41 with respect to l.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.63 - 8.63. Which is greater: i or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u. Let v = -1 - u. Let y = v - -9. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k - 24. Suppose n = k*n - 35. Let y = n - 3. What is the lowest common multiple of y and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*73.\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = -5*u + 20, -u + 4*t - 17 = 0. Suppose 4*x - u*d - 17 = 0, -7*d - 20 = -5*x - 2*d. Solve 10*z - 10 = x*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 45. Suppose -50 = -5*i + s. Calculate the remainder when 52 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 12*k**2\/7 - 2348*k\/7 + 1560\/7 = 0.\nAnswer: 2\/3, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126101 (base 7) in base 12?\nAnswer: 11885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8141883.\nAnswer: 3, 2713961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21b6 + 45?\nAnswer: -2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 26*o - 78 - 790 = 0 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -238*j**2 + 5*j. Let s(z) = -338*z. Calculate s(h(k)).\nAnswer: 80444*k**2 - 1690*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 264*k**4 + 83?\nAnswer: 1056*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 + 164.4?\nAnswer: 19.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.33 - 0.328. What is r rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11466 is divided by 244?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.023, -3, 0.05?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9630 - -9634. Solve -4*i - 4*h = 0, n*h - 61 = 5*i - 34 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 1454448.\nAnswer: 1454448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 - 16704*k**2 - 33422*k + 400920.\nAnswer: (k - 33410)*(k - 4)*(k + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4\/3 - 229744*k**3\/3 - 1099631360*k**2 + 918976*k\/3 + 13195576384\/3 = 0. Calculate k.\nAnswer: -28718, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 24312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.29999522 + 12.3. Round u to 7 decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**7\/21 - 7*m**6\/15 - 3*m**5\/10 + 19*m**4\/6 + 14*m**3\/3 - 178*m. Determine d so that y(d) = 0.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -4. Let q = 17 - n. What is the third smallest value in 0, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a**2 - 5*a**2 + 4*a**2)*(39*a**2 + 5*a**2 + 39*a**2) - 9*a**4 + 6*a**4 + 0*a**4 to the form b*a**2 + h + g*a + p*a**3 + w*a**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1736.039003 + -1736. Let g = 0.039 - p. What is g rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 2720?\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*b - 12 = 0, b - 16 = -3*q - 8. Let m(y) = -3*y**2 - 22*y - 6. Let n be m(-4). What is the greatest common divisor of q and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 38 + 13 = 0. Suppose q + 3*q = 16. Suppose 0 = 3*w - w - 4*k - 24, -4*w + q*k + 28 = 0. What is the highest common divisor of w and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46188.\nAnswer: 2, 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*j*m*q*u + 14952*j*m + j*q*u + 1273*m*q*u - m*q - 5*q*u - q - 5*u wrt j.\nAnswer: 65*m*q*u + 14952*m + q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18835 equal to 18834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 450.3 times -17.45\nAnswer: -7857.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(504)\/sqrt(7)) + (sqrt(800) - (sqrt(800) + sqrt(800)*1) - sqrt(800)))\/(sqrt(8)\/sqrt(2)*-2 + (-2*sqrt(256) - sqrt(256)) + sqrt(256)).\nAnswer: 11*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (11 + -11 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2677.04 - -2693. Round s to one decimal place.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49853854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*t - 32, 2*t - 49 = -5*i - 5. Let j be (0 - 2)*-1 - 26. Let d be ((-2)\/i)\/(j\/40). Is d > -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.413105mg?\nAnswer: 0.000001413105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.64 and 89.\nAnswer: 88.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 89*u + 21. Let m be l(1). Let d = 55 + m. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1968478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 213 (c) -1\/151 (d) -3 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106763 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**3. Let y be g(1). Suppose m + y = 7. Let k be 5 + 4 + -3 + m. Sort 5, -10, k.\nAnswer: -10, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 2*i**2 + i - i - i**3 as m*i**3 + x + w*i + q*i**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 1. Suppose 3 = -2*f - x. Let a(r) = r**2 - 5*r - 9. Let s be a(6). Sort f, 2, s, -5.\nAnswer: -5, s, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 16 - 6 = 5*d, -5*u - 5*d + 10 = 0. Let n be 9\/6 + u + -1. Let q = 0.06 - 0.26. Which is the biggest value? (a) n (b) q (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 430218 - 5*r**3 - 4*r + 2*r - 430218 + 7*r**2. Let j(z) = 0*z**3 + z**3 - z**2 + 0*z**3. Give -4*j(i) - o(i).\nAnswer: i**3 - 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - w + 4*w + 12*w - 6*w. Let r(q) = -601*q. Give r(p(n)).\nAnswer: -2404*n","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtv when three letters picked without replacement from {m: 1, a: 1, n: 4, v: 1, t: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047091 rounded to four decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**4 - 5*v**4 + v**4)*(-4 + 4 + 3).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - -112. Let b = 10626 - 10615. Calculate the highest common factor of r and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*z + 12169601*d*z**3 + z**3 - 7703815*z**2 + z with respect to d.\nAnswer: 4*d*z + 12169601*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v - 63*v - 505 = -3*l, -5*l + 2*v + 860 = 0. List the prime factors of l.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - ((18 - 15) + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 845293887 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and 1306.051.\nAnswer: 1306.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) 2\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 1115?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(0 + 8))\/(2\/(-8)). Solve 5*z = -2*y + 22, -w*z + 2*y + y + 5 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14091787 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -371853 * -28\nAnswer: 10411884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -2 (b) 10\/13 (c) 1\/7 (d) 4 (e) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 10*m**2 + 15*m - 1. Determine d(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -6 + -3 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/7 + 3*q**3\/7 + q**2\/7 - 3*q\/7.\nAnswer: -q*(q - 3)*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1676736701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*g - 15. Let x(a) = -7*a**2 + 1 - g*a**2 - 3*a + 38*a**2. Calculate x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f = -55*f + 142 + 1214 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100010000011011110 (base 2) in base 11?\nAnswer: -413781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0232 + 61.2232. Round m to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1346319497 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-5 - (-20 - -4))) + -7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -22. Suppose 0 = 2*j - 3*j + o. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161846700 a multiple of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d - 5*q = 6, -d - 5*q + 3 = 0. Solve d*a = -0*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27772*d + 27772*d - 31*d**3.\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088 - -105?\nAnswer: 105.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 11 = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1191*c + 169*c = 41902 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/261)\/(4\/552)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -301303?\nAnswer: -301311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3957745?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/7606611*(-2)\/(-5). Let g = -44764905719\/20284296 - x. Let k = g + 617489\/280. Calculate the common denominator of k and -35\/16.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from ommmqmootqo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/12*390\/25. Suppose -n*w = -30*w - 3051. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 5*f**2 + 4*f**2)*(-5*f**2 - 3*f**2 + 3*f**2) - 13*f**4 + 11*f**2 - 11*f**2 + (4*f**3 - 3*f + 3*f)*(f - 1 + 1) - 3*f**2 - 3*f**4 + 3*f**2.\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 18*j - 5. Determine l(3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -4, 268, 51, 2 in decreasing order.\nAnswer: 268, 51, 2, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 7*r - z = 6, -5*r - 6 = 2*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 2*z - 1. Let m be l(-1). Suppose -m*i + 4*i - 8 = 0. Suppose -3*c - 35 = -i*c. Solve 0 = -c*x + 2*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 5368000 = 15*s. What is s rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17983*o + 17906*o - 1540 = 0 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 - -32) - (-572 + 582).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 10}. Give prob of picking 3 l.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*d + 8, x - 3 - 6 = -4*d. Let t(f) = f**2 + 3*f**2 - 6*f**d. Let a(y) = -7*y**2. Give t(a(z)).\nAnswer: -98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7805 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f**3 - 8*f**2 + 4*f + 5. Let y be s(-1). Let r = 5 + 4. Which is smaller: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/7)*o**(-8\/9)\/o*(o**3\/o)\/(o\/o**(5\/8)) assuming o is positive.\nAnswer: o**(155\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 4*c + 4. Give z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6 - 0. Suppose 0 = -5*h + 2*h + c. Suppose h*t + 0*t = 12. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, 1, -4, -10, 2, -2 in ascending order.\nAnswer: -10, -4, -2, 1, 2, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2\/6 - 0). Let f = 188 - 188.5. What is the smallest value in 0.1, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1295803?\nAnswer: 11662227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 880\/1001207?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(9\/(-12)) + 10\/15. Suppose -4 = n*y - 2*l, y - 3*l + 11 = -1. Solve -9 = 4*a + 5*g, 2*a + y*a + 5*g + 5 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 17*n + 4*n)*(163*n - 62 + 110 + 152 - 159*n).\nAnswer: 76*n**2 + 3800*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.25 (b) -12 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-18)\/a**(15\/7))**41 assuming a is positive.\nAnswer: a**(-5781\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 55*c + 3. Let y be s(-3). Let k = -22 - -47. Calculate the remainder when k is divided by (2\/6)\/((-6)\/y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52411.79 litres in millilitres?\nAnswer: 52411790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286 + -127. Is z a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28168.38 times -0.2?\nAnswer: -5633.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -2*u**6\/15 + u**5\/5 + 5*u**4\/3 + 2*u**3 - 14*u. Suppose s(k) = 0. What is k?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31555 and 25673148?\nAnswer: 128365740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 3 + 4 + 649*h + 1 - 306*h - 314*h.\nAnswer: 2*h**2 + 29*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from {o: 2, y: 2, a: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 49983800 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -42?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 938*j*l**4 - 76*j*l**2 - 2*j*l wrt l?\nAnswer: 22512*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - -3. Let n = 16 - 18. Calculate the remainder when (4\/n - -1) + 36 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 73, 188, 359, 592?\n\"Answer: d**3 + 19*d**2 + d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -92?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -13) + 26 - 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3087620375.\nAnswer: 5, 7, 43, 137, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-39)\/(-3))\/(-1 + 2). Let p be n\/3 + 13\/(-39). What is the third smallest value in p, 1\/3, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134781 rounded to the nearest one thousand?\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + -6. What is the common denominator of 20\/(-15)*876\/g and -95\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-8 + -4 - -5) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3407150 take away 6?\nAnswer: -3407156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 377 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 19. Let a be j(7). Let k(c) = c**2 - 6*c + 7. Let f be k(a). Let q(y) = 2*y**3 - 3*y**2 + 2*y - 3. Calculate q(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -37*d**3 + 5*d**2 + 8*d - 3. Calculate the remainder when s(-2) is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 5*m**2 + m**2. Let j(p) = -2*p**2. Give j(g(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from eekwkuwekefx.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(272) + -3)**2.\nAnswer: -56*sqrt(17) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 10*z - 5. Suppose -1072*k + 1009*k + 2772 = 0. Let r be -2 - -4 - (-48 + 0). Let f = k - r. What is q(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11 + 42 + 2*j - 31. Let m(x) = 8*x + 6. Give g(m(y)).\nAnswer: 16*y + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10067172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -33*k + 121\/4*k**5 - 75\/2*k**4 + 0*k**2 + 125\/6*k**3 + 0 - 12*k**6 + 40\/21*k**7. Factor j(o).\nAnswer: 5*o*(o - 1)**2*(4*o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44280890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 229*r - 6755. Calculate k(194).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 34\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*h = -6*h + 2046, -3*h = -5*x - 2049. Let j be (0 - 0) + (-48)\/x. What is the second smallest value in j, 2\/7, 19, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:19 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1180 = -13*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 17 = s, 1 = -s - f - 0. Differentiate 2*h**3 - 2*h**3 + 4*h**3 - 2*h**3 + s wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 2*f + 1. Let a(v) = 14*v - 8*v - 5*v - 1. Let k be (-1)\/(-4) + (-10)\/8. Let b(j) = k*a(j) - r(j). Find the second derivative of b(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 = -11*y - 45*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 36. Suppose 0 = -2*s + 26 + t. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/8)\/(6\/(-16)). Suppose 0 = u - 4*x - 39, 4*x + 147 = k*u + u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + ((sqrt(176)\/sqrt(4))\/sqrt(4))**2) + 0 + (0 + sqrt(704) + 0)**2.\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96914126 and 4678.\nAnswer: 4678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (2 + -4 - (10 + -3 + 10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25623, 25620, 25615, 25608?\n\"Answer: -s**2 + 25624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 13 + 3*x - 6)*(-41 + 100 + 21).\nAnswer: 240*x + 480","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.015, -9, -5, 47?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*d = -9 + 32, -5*d = -4*f + 2. Calculate the remainder when f is divided by 1\/3*(4 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-63)\/36)\/(1\/(-28))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s**3 + s**2 - s + 1. Let b be h(1). Let g = b - -12. Suppose -g*d + z + 49 - 10 = 0, 5*z + 5 = d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159416732 by -692.\nAnswer: -230371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + p + 109 = 0, 0*b = 5*b - 4*p - 128. Let o be 35\/b*2\/10. Put -1, 0, o in decreasing order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -31*s**2 + 152*s - 568. What is i(8)?\nAnswer: -1336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 greater than -329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = c + 70. Suppose 2 = 3*i + 11. Let j be (-1 - i\/(-3)) + 4. Put c, j, 5 in descending order.\nAnswer: 5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.3 (b) 4 (c) -60 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1588700041\/18 + 88238746. Let u be 1073904\/96*4\/(3 - 1). Let j = b + u. Calculate the common denominator of -13\/38 and j.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) -21.66 (c) 20\/7 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6708 and 15\/8.\nAnswer: 13416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19236 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-13 - -1 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2 + 5*l - 2. Let i be t(3). Let h = i - -48. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6*f*f\/(f\/(f\/((f*f\/f**(-4)*f*f)\/f))))**(-1\/3)\/((f*f\/(f**(2\/7)*f))**(3\/2)\/((f**1\/f)\/f*f*f*f*f)**(-26)) assuming f is positive.\nAnswer: f**(-3335\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 32e?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 3*z - 4. Let n be t(-4). Suppose -4*s = -h - 177, n = -s + 5*s + h - 183. Calculate the greatest common divisor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2681 - 2682.2. Let d = 7.7 - 8. Sort d, -5, b.\nAnswer: -5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 29438 + 31217. Is (m\/(-30))\/((-4)\/(-24)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*-226\nAnswer: -58.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + 5*w)*(-w**2 - 2*w**2 - w**2) + 2*w - 2*w**2 + 2*w**2 - 2*w**3.\nAnswer: -22*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/7417463 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*s - 2*m, -26*m + 22*m = -3*s - 29 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 9:17 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 + 81*q**3 - 393*q**2 + 315*q.\nAnswer: -3*q*(q - 21)*(q - 5)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-1 - (-6 - -15) - -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 2*f + 1. Let v = 24 + 36. Suppose -t + 3*l = -6*t + 25, -4*l = -5*t + v. Let u be g(t). What is u rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22160 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -463.89 - 9\nAnswer: -472.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.29 - 1.59. Let q = -4381.60569966 + 4382.9057. Let l = q + g. What is l rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 22. Sort -4\/7, -1\/7, r, 4 in descending order.\nAnswer: 4, -1\/7, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18*6)\/(50\/(-104500)*22).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (0 + 1 - (2 + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280*x**4 - 5280*x**3 + 26235*x**2 + 3340*x + 105 = 0. What is x?\nAnswer: -7, -1\/16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k - 40 + 40 + (3 - 3 + 4)*(2*k - 3*k - k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5.7, 0.2 in decreasing order.\nAnswer: 5.7, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2053, -4081, -6089, -8077?\nAnswer: -10045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + -1)*(-2)\/4. Let b be (-455 - 0) + -24 + 20. Let q = 456 + b. Sort t, q, 2.\nAnswer: t, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076035268.\nAnswer: 2, 7, 11, 43, 113, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3 = -d. Let j(r) = 7*r**2 + 10 - r**2 - 4*r**2 - 3*r - 5. Let k be j(2). Solve 4*y - k = -d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001465282 to 5 dps.\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-15)\/12)*(-195)\/65?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6465924, -12931849, -19397774, -25863699, -32329624, -38795549?\n\"Answer: -6465925*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (8 - 9) + -12 + 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -4) + (-86)\/(-30). Which is bigger: 0.2 or u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 257*a**2*l**2 - 11*a**2*l - a**2 - 17*a*l**2 - 2*a*l - 660*l**2 wrt a?\nAnswer: 514*l**2 - 22*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0498 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1705 divide 386925300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*i = -91*i - 27. Suppose 31 = i*s - 32. Solve 0 = 12*j - s*j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6854 + 12c0?\nAnswer: -5564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/6 + l**3\/2 - 5*l. Let x(y) = 25*y**2 - 35*y. Determine -35*h(m) - 3*x(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 - 61 + 25*w + w**2 - 29*w + 48 in the form t + z*w**3 + x*w + l*w**2 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**2 + 2. Let g(i) = -84*i**2 + 36*i - 36. Let l(u) = -12*u**2 + 5*u - 5. Let q(j) = -5*g(j) + 36*l(j). What is f(q(k))?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 14. Suppose -2*z = -5*z + 4*o + s, 5*z + 3*o - 75 = 0. What is v in 0*v**2 + z*v**3 - 4*v**3 + 3*v**2 + 2*v**4 + 3*v**2 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -9*f + 188. Let y = 119 - f. Let z = 9 + 0. Calculate the highest common factor of y and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:44 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 14 - 56 = 0. Solve -a*x = -28 - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + 14315454?\nAnswer: 14315355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x - 199*x - 234*x - 176*x = 6530 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -100014?\nAnswer: 100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -326, -974, -1958, -3284, -4958?\nAnswer: -6986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 58 = -5. Is l <= -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -11?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*g = 67*g - 1670. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1444*g**2*l**2*m + 260*g**2*l*m**2 + 2*g*l**2*m**2 + 3*l*m wrt l.\nAnswer: -2888*g**2*m + 4*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/70932 and 19\/17733.\nAnswer: 70932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 22 + -4 + (-20 + -1 - 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ooods.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9*m = -7*m + 10541, 0 = -5*p - m + 10547. What are the prime factors of p?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90063 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from nnnnenennnnneeetn?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g = -30. Suppose 0 = 2*h + 3*h - g. What is the units digit of 2 + h + 0 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/10368072 and 161\/195624.\nAnswer: 10368072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(0 - -2) - -242. Let m = y - 141. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/24*336\/((-16)\/(-2))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -575, -493, -317, -17, 437, 1075, 1927?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4569 + 4769. Let d = -131 - -199. Calculate the remainder when h is divided by d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 8\/3*n**3 - 3*n - 7\/2*n**2 - 1\/4*n**4 - 6. Determine r(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4063\/4 + 1018. Factor -r*k - 1\/4 - 7\/4*k**3 - 15\/4*k**2.\nAnswer: -(k + 1)**2*(7*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + f - 14. Let d(a) = -a**2 + a - 5. Let q(o) = -17*d(o) + 6*h(o). Suppose -4*j - 2*x + 7*x = 57, -4*x - 20 = 5*j. Is q(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75.784 + -76. Let u = t + 0.316. Which is smaller: u or -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - g. Let t(v) = v**3 - 4*v**2 + 2*v - 1. What is 4*h(o) + t(o)?\nAnswer: o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**6\/180 - u**5\/10 - 5*u**4\/12 - 116*u**3\/3 + 40. Let z(a) be the third derivative of r(a). Factor z(l).\nAnswer: -2*(l + 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 plus -0.004?\nAnswer: -184.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -25*u + 0 - 8 - 6 - 4. Give t(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 6*z = 1110. Let g = 1657 - z. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31789?\nAnswer: 83, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjj when four letters picked without replacement from kjjjjjjjkkjj.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -7*2\/(-28)*(27 - -9329)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 - j**2 + 2*j - 1. Let y(s) = 8*s**3 + 3*s**2 - 5*s + 2. Let c(v) = 11*m(v) + 4*y(v). Let t = -506358 - -506360. Give c(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b + 8. Let p be n(10). Let t be 6\/9 + 1090\/21. Let k = t + p. Is k bigger than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11696, 11697, 11698?\n\"Answer: w + 11695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-213)\/30*-2. What is the second derivative of 13*m - p*m**4 - 4*m**5 + 71*m**4 wrt m?\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27902084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 38.2. What is the biggest value in -3, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-728) + 76\/(-247)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/10 + 1)*2570\/3598?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-20))\/((-5151)\/404)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 319, 326, 343, 376, 431, 514?\n\"Answer: a**3 - a**2 + 3*a + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*q + 5, 4*r - 8 - 2 = -2*q. Suppose j = 4*h + 13, -2*h - h = q*j - 9. Solve -n = v + v + 13, v + 29 = -j*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*f - 229*f = -2481*f - 151892 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62659151 and 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.393 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274184, -548200, -822230, -1096280, -1370356, -1644464, -1918610, -2192800?\nAnswer: -2467040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*s + 25*s - 3*g + 5, 2*g = -3*s + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*c - 148 - 36. What are the prime factors of c\/(-11) - 51816\/(-44)?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 114 - i + 20 + 19 + 19 + 17 + 25.\nAnswer: -i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 383, 407, 431?\n\"Answer: 24*p + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 13*d. Let r(b) = -2*b. Give r(n(k)).\nAnswer: -2*k**2 - 26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 41*p**2 - 3*p + 3. What is the remainder when m(1) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -58, -119, -210, -337, -506, -723, -994?\n\"Answer: -h**3 - 6*h**2 - 12*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-49) + (-5 - 15)\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, 0, 3, -2 in ascending order.\nAnswer: -2, 0, 3, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:48 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122958, -122450, -121598, -120402, -118862, -116978, -114750?\nAnswer: -112178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 300 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 54d6d5 + -4?\nAnswer: 54d6d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/17)\/(u\/u**(2\/27)))**(-43)*(u**(-2\/5)\/u*u\/(u\/(u\/u**(-3))))\/((u\/(u\/u**(-5)))\/u*u**(-3\/4)*u) assuming u is positive.\nAnswer: u**(395713\/9180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*p - 65, 5*w + 2*p - 77 = 4*p. Suppose 5*r + w = 2*r. Put r, -4, 0 in decreasing order.\nAnswer: 0, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 2293707*j + 52756848.\nAnswer: -3*(j - 23)*(j + 764592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + (-4*sqrt(165))\/sqrt(3) + sqrt(55))\/sqrt(11) - (sqrt(3500)*5)\/sqrt(7))**2.\nAnswer: 13520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -53, -49, 1, 1873 in decreasing order.\nAnswer: 1873, 3, 1, -49, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i**4\/5 - 28*i**3 + 108*i**2\/5 = 0 for i.\nAnswer: 0, 1, 27\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -765255\/2 + 382614. Find the common denominator of (-1)\/72*(-354)\/4 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32351 - 32351 + 37*z.\nAnswer: 37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1192, 4709, 10576, 18805, 29408, 42397?\nAnswer: 57784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12257944.\nAnswer: 2, 1532243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 10:08 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/((735\/2295)\/(-49)) - 3\/(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7658 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8340 and 89535460?\nAnswer: 268606380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 211859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12\/27 - (9594\/(-162))\/13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.12 (b) -3\/4 (c) 0.4 (d) -1 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*z - m - 128, 5*z + 5*m = 250. Let t = z + -11. Suppose 468 = -t*l + 46*l. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -3530 - 1462. Calculate the highest common factor of 39 and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -11*a**8\/3 - a**4\/24 + 31*a**3\/2 - 2*a**2 + 993*a. Find the second derivative of i(x) wrt x.\nAnswer: -24640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 21*h**2 + 5*h - 367. Let y be w(-22). Solve -4*m + 17 = 13*o - 18*o, 0 = -m + 4*o + y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*k + 284*k = -3*j - 8, -10 = 5*k + 10*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1538292 times 0.01\nAnswer: 15382.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 3*t**5 + 0*t**5 + (-6*t - t + 5*t)*(4*t**4 - 3*t**4 + t**4) + 170*t + 178*t - 11*t**5 - 347*t.\nAnswer: -13*t**5 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + -1 + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10689*r + 5391*r + 16272 = -5524*r for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -3051.\nAnswer: 70\/3051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0467 to 3 decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 224*x - 636.\nAnswer: -4*(x - 53)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1722 = 3*q + 399. Suppose -4*h + 113 - q = 4*d, -2*d - 81 = h. Round h to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39865869?\nAnswer: 3, 199, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 301991.\nAnswer: -603982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491272?\nAnswer: 2, 61409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3915*m. Let x(y) = 16588*y. What is x(q(h))?\nAnswer: 64942020*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-58)\/(-12) - 1\/(-6). Let c(x) be the second derivative of 0 + x**2 + 1\/3*x**3 - 1\/60*x**6 - 3*x - 1\/10*x**n - 1\/8*x**4. Factor c(k).\nAnswer: -(k - 1)*(k + 1)*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v - 5. Let b be a(-1). Suppose x + 4*x - 86 = b*g, -2*g - 34 = -2*x. Calculate the remainder when 123 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 2739981*x**2 + 10959960*x + 10959972.\nAnswer: -3*(x - 913331)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3027893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*i**5 + 658*i**4 - 2*i**3 - 9*i - 659.\nAnswer: 280*i**3 + 7896*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*n**4\/7 + 366*n**3\/7 - 608*n**2\/7 - 14440*n\/7.\nAnswer: -2*n*(n + 5)*(3*n - 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31428.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 25 - 19. Suppose -3*s + r = -11 + 4, -w*r = -4*s + 8. Let k(j) = 5*j - 6. Calculate k(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - -26. What is the remainder when m is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111000101001111 + 11?\nAnswer: -1110111000101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3827028 to the power of 1\/2, to the nearest integer?\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, x: 5}. What is prob of picking 2 x and 2 r?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37633 (base 9) to base 16.\nAnswer: 62d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77038 and 28?\nAnswer: -2157064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20*s**2 - 4*s + 5. Suppose -606*i - 65 = -671*i. Determine a(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-247)\/78 - 2193\/(-306).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 754147?\nAnswer: -754147.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 19. Let b be m(5). Suppose -28*j - 7 = -91. Solve 0 = -j*y - 0 - b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1394154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -58047136.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-1 - 5 - 1). What is the third derivative of -32*q**y + 49*q**2 + 78*q**6 - 15*q**6 wrt q?\nAnswer: 3720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaaaaxiaaaxixiizizz. Give prob of sequence zaxa.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5 - 306*q**4 - 3285*q**3 + 703428*q**2 = 0. Calculate q.\nAnswer: -44, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -731*k**5\/5 - 10*k**3\/3 + 10*k - 29. What is the third derivative of m(n) wrt n?\nAnswer: -17544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 7*n**2 + 24*n - 48. Let p be c(4). Solve -4*f - 2*w + 20 = p, 13*f = 15*f - 5*w + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 21*n - 15*n - 5*n. Let b(x) = 4*x + 11. Calculate l(b(c)).\nAnswer: 4*c + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 404466.\nAnswer: -404463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2*s + s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 794 and 45482.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Let n be v - -1 - (4 + -1). Let y = -4 - -3. Put 0, n, y in descending order.\nAnswer: n, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 32. Let t be -47 - 1*(-3 - o). Is 2 a factor of ((-162)\/t)\/(3\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 565 * 22093.\nAnswer: 12482545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39865648999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 10. Let y be (-3)\/3 - (-20)\/2. Suppose -22 = -y*z + 104. Let k be s(z). Let n(m) = -m**2 - 4*m + 3. Determine n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132858?\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9228 by -1.\nAnswer: 9228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + z**3 + 0*z**3)*(3 + 2 - 4)*(-3*z**2 + z**2 + 4*z**2 + (-2*z**2 - 5*z**2 + 2*z**2)*(3 - 2 - 3) - 88*z**2 + 154*z**2 + 126*z**2).\nAnswer: -408*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 43*a**3 - 2*a**2 + 37*a + 16. Let y(r) = -20*r**3 + r**2 - 17*r - 7. Let n(i) = -6*h(i) - 13*y(i). Determine n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911098.\nAnswer: 2, 17, 127, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*q + 2. What is the remainder when q - (-4)\/(-2)*-9 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 25*w - p + 82 = 0, 22 = -11*p. Calculate the greatest common divisor of w and 3486.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -21. Suppose 3*s + 7 = 1. Suppose -2 = -a + 2*v, 3*v = -5*a - 0*v - 3. Put s, a, w in increasing order.\nAnswer: s, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*x + 11 = 2*y, 0 = -3*y + 2*x + 7. Let v = y + 1. Is (-1 - -23)*v\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -8 (c) 0.06 (d) 5 (e) -4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + q - 25 - 72 = 0, -3*b = -4*q - 173. Suppose 0 = 4*h + 3 - b. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:45 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 15*c - 29. What is f(15)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o - 6. Let s(c) = 4*c - 6. Let t(i) = -3*h(i) + 4*s(i). Let f be t(7). Solve 5 = -2*y + f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33\/67 - 729\/1072. Suppose 4*l = l. Is l > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-12)\/((x**7*x)\/x))\/(((x*x**(-13))\/x)\/(x**(2\/41)\/x)))**(10\/13) assuming x is positive.\nAnswer: x**(-2850\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*t**2 + 8*t**4 + 15*t**2)*(2 + 0 + 0) - 1 + t**4 + 1 + (t**2 + t**2 - t**2)*(1 - 1 - 3*t**2) as l + c*t**3 + r*t**4 + p*t**2 + x*t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Find the first derivative of -q + y + q - q**2 wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -371*l - 370?\nAnswer: -371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a - 10*a = -33*a + 814 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175 - 73. Suppose -21*b + j = -4*b. Solve 3*t = -2*v + b*t - 1, 0 = 4*v + 5*t + 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8265354 is divided by 5046.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50.5 + 53. Let a = i + -2.68. Let u = a + -0.82. What is the biggest value in 0.1, u, -14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 + -179. Let o(h) = -h**2 + h + 3. Let p be o(3). List the prime factors of q\/p - (-16)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -647.8 + 656.8. What is the second smallest value in 0.4, x, 1\/17, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8014*s - 8026*s + 816 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 897804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 22 = -5*p. Let s(j) = -j**3 + j - 1. Is s(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, z: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 343, -3, -5.\nAnswer: -5, -3, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 9*p - 11. Let m(x) = 4*x. Determine m(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9918.098 - -9927. Let v = -9 + n. What is v rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3150848156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 2*l**2 + l**2 - 3*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than or equal to -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {h: 1, w: 5, u: 3, q: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -567 - -561 - (-14 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -32*t**3 + 3*t**2 + 3*t + 28. Let q(m) = 33*m**3 - 4*m**2 - 4*m - 27. Let c(j) = 4*g(j) + 3*q(j). What is the first derivative of c(k) wrt k?\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31511540, 63023076, 94534612, 126046148, 157557684?\nAnswer: 189069220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20925 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18624?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14760 and 42840?\nAnswer: 1756440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 10*k - 10. Let u be s(11). Suppose v + u = 109. What are the prime factors of 5 - (-4 + 5) - v?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5394 + 13005 = -1343*i - 31292 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 354051*t. Let k(r) = r**2. Determine d(k(n)).\nAnswer: 354051*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -956, -911, -840, -743, -620, -471, -296?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 4\/(8\/6). Suppose -r = -t*w + 5, 6*w + 4*r = 4*w. What is the third derivative of 22*m + m**5 - 22*m + 5*m**w wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10058.536 rounded to 0 decimal places?\nAnswer: 10059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 3*y**2 + 2*y - 4. Let s be d(4). Calculate the greatest common divisor of 140 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:19 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 5*t**2 + 7*t + 6. Let f be m(-6). Let z = 1071 + -434. Is f - ((0 - z) + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56978627381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + (-2 - -2))*1. Suppose -4*t = 12, -3*w + s*t + 10 = -w. What is the least common multiple of (2 - 8)*(-3)\/w and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11504779 divided by -43?\nAnswer: 267553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((150\/(-540))\/(0 + 9\/27))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147303499.\nAnswer: 3, 11, 107, 608129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -46. What is the highest common factor of 45 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 = 26. What is the smallest common multiple of 8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 2*c**3 + 0*c**3 + 93 + c.\nAnswer: 2*c**3 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14352 and 33196176?\nAnswer: 33196176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2) + -13 - (-3 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 2*j)*(0 - 5 + 2) - 4*j + 3*j + 0*j + 1 - 2*j - 1 + 2*j + 1 - 1 + (1 + 3 - 2)*(-2*j + j + 3*j) + 3*j + j - 2*j + 2*j - 2 + 2.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.4, -4160\/11, 2\/7, 0.07 in ascending order.\nAnswer: -4160\/11, -0.4, 0.07, 2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 22*f**2 - 14*f - 2. Let h be j(23). What is the highest common divisor of h and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 41. Let a be -28*1 - (-5 + 10 - 1). List the prime factors of u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*q - 30*q - 58 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 121084161 and 121084160 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 458.2 * 14.\nAnswer: 6414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5\/k)**38\/(k\/(k*k**(-1\/2))*k\/k**(1\/12)*k))**(-42) assuming k is positive.\nAnswer: k**(-12565\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -75. Put -3, x, 1.2 in decreasing order.\nAnswer: x, 1.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 6*x - 5. Let p be g(5). Let d = 27.1 + -24.1. Sort p, d, 5 in ascending order.\nAnswer: p, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**7))**46\/(y**(4\/15)*y*(y**24\/y)\/y*y) assuming y is positive.\nAnswer: y**(-4504\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 12*t - 7. Let s be o(-11). Solve s*r + 13 = n, 2*r + 2*n + 1 = 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + -3 + sqrt(567) + 4 + (sqrt(567) - -2*(sqrt(567) - -3*sqrt(567)) - (-4 + -3*sqrt(567)))**2.\nAnswer: 873*sqrt(7) + 81670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 2. Let g = -91 + 88. Let f be -3 + 2 - (-4 - g - 2). Let s(b) be the third derivative of b**3\/6 - b**2. Give f*s(d) - i(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + (-4 - (-8)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2045800028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 504183276 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 21480009.\nAnswer: 8\/21480009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 3*c**2 + 4*c + 3. Let z be u(-3). Does 3 divide (4 + -1)*(-15)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820879?\nAnswer: 17, 109, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**3\/7 - 4*c + 24\/7 = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - t + 5. Let y be g(1). Let m = -5 - -14\/3. Which is the closest to -0.1? (a) -1 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 v when three letters picked without replacement from oozovooooooozzoo?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 5*r + 3\/2*r**2 - 1. Calculate a(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*d - 1803 = 14081 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 - (-18)\/8. Suppose -2*o - 9 = -17. Solve -u*v = -4*v - o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 110*o - 109*o + 2 - 2 - 3*o + 2 + (3*o + 2*o - 3*o)*(2 - 1 - 2) + 2*o - o - 2*o.\nAnswer: -5*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-c + 5*c + 14*c)*(2*c - 7*c + 9*c)*(0*c**2 + 5*c**2 - 2*c**2).\nAnswer: 216*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797169777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3262813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*j + 18*j + 768 = 0. Suppose -j*k + 16*k + 11944 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21642\/4*(-306)\/324. Let p = j + 5106. What is the common denominator of p and 4\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 333, 498, 729, 1026, 1389, 1818?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115216626*o**2 - 43883148.\nAnswer: -230433252*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + sqrt(1100)*1 + (sqrt(1100) + 0)**2 + -2 + 1)*-4.\nAnswer: -4424 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -687410169 and -687410169 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3992 + 4704. Solve -s + 698 = -7*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 381*a**2 + 1132*a - 43. Determine y(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1919 minus 3.8?\nAnswer: -3.6081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-6 - -10 - (-7 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 13*m**6\/40 - m**4\/24 + m**2. List the prime factors of r(1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a - -57910?\nAnswer: 57771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282251 is divided by 1721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 0, 10, -82, -53, -39 in increasing order.\nAnswer: -82, -53, -39, 0, 0.02, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddfud. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 0*t**3 + 0*t**3)*(871*t**2 - 8599*t**2 + 233*t**2) + 0*t**5 + 0*t**5 + 2*t**5.\nAnswer: 14992*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 4, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2240906.\nAnswer: 2, 17, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + n + 1. Let p(l) = -7*l**2 + 3*l + 3. Let j(o) = -o - 22. Let d = -19 + 3. Let m be j(d). Let a = m + 1. Determine a*v(g) + 2*p(g).\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - 2*z**3 + z**3)*(3*z - 4*z - z) - 31 - 36 - 864*z**4 + 67 + 0*z + 0*z - z**4 + (-z**2 + z**2 - z**2)*(3*z**2 - 4*z**2 + 3*z**2).\nAnswer: -865*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1052 and 76.\nAnswer: 19988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1340*d*x**3 - 3*d*x**2 + 2898426*d*x - 2*x**3 + 35*x**2 wrt x?\nAnswer: -8040*d*x - 6*d - 12*x + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 2*x**2 - 9*x - 2. Let q be n(4). Is q smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/7)*h**(-2\/7))**(-6\/17)*h**(-1\/4)*h\/(h\/(h\/(h\/(h\/h**3))))*(h**1*h)**10 assuming h is positive.\nAnswer: h**(8593\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/9 - 4*o**4\/9 - 31*o**3\/9 + 142*o**2\/9 - 20*o + 8 = 0. Calculate o.\nAnswer: -6, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16084 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 75*w + 41. Let k be f(-23). Let i = k + 735. What is the remainder when i is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -207 - -210. Sort 7, 2, j, -3, -18 in descending order.\nAnswer: 7, j, 2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -40\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 445 = 42*t. What is the remainder when 129 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152 - 266)*7\/42.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -46581, 114, -13 in increasing order.\nAnswer: -46581, -13, -2, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-30))\/(116\/(-60) + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 31*z. Let m(d) = -204*d. Let l(p) = 12610*p. Let x(w) = -4*l(w) - 247*m(w). Give x(a(v)).\nAnswer: -1612*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 22*z - 25. Let d be k(-21). Let v be 2*d\/(-2)*12\/16. Solve -2*h - s - 2 = -v*h, -17 = -h - 4*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/3510 and -131\/312.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.016 - -19.906. Round l to 1 dp.\nAnswer: 16.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:54 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -17. Let m = 5 + -4.6. Sort m, s, 0.5 in increasing order.\nAnswer: s, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59\/3 or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -n + 5*s + 204, 0 = -5*n - 4*s + 1219. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from jjjjataqnjaaj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1053) + 0 + sqrt(1053) + sqrt(13) + sqrt(13) - (-2 + sqrt(1053)))**2 + -4).\nAnswer: -9438 - 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 4273536476986.5?\nAnswer: 4273536476986.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.08 (c) -9 (d) -1\/7 (e) -1\/239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o**(-8))\/(o*(o*o\/(o**(2\/7)\/o)*o)\/o)**25 assuming o is positive.\nAnswer: o**(-7752\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 14. What is the biggest value in -2, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and (908\/16 - 1) + (-43)\/(-172)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/11 + 6*l**4\/11 - 30*l**3\/11 + 34*l**2\/11 - 12*l\/11 = 0. What is l?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 22*g**2 + 12*g**2 - 48*g**2 + 15*g**2. Let f(y) = -3*y**2 + 10*y. What is f(k(w))?\nAnswer: -3*w**4 + 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4169 - 4169. Factor -v + c + 1\/2*v**3 + 1\/2*v**2.\nAnswer: v*(v - 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1074.\nAnswer: -214.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 42 = 7*n. Suppose 0 = -4*w + 12 - 0. Suppose -m = m - 3*i, -n = -w*m + i. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -836213 + -3?\nAnswer: -836216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - i = i + 16, -j - 2 = -i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 9*y + 7. Calculate the remainder when 105 is divided by o(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -f - 15. Let t be (-1)\/(-2) - f\/(-4). Calculate the lowest common multiple of (-65)\/t + 1\/(-3) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 + 559\/(-52))*-4. Put t, -19, -5, 1, -3 in decreasing order.\nAnswer: 1, -3, -5, t, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 14*t**2 + 18*t - 13. Give o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201020221 (base 3) to base 11.\nAnswer: 23376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:49 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16184905?\nAnswer: 5, 11, 103, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 605906 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 2 (b) 0.1 (c) -0.026 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.11, -456\/17, 283?\nAnswer: -456\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6*x - 12 = 3*x, 0 = 4*i - 2*x - 14. Let s(u) be the second derivative of 4*u + 1\/18*u**4 + 0*u**i - 1\/3*u**2 + 0. Factor s(d).\nAnswer: 2*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/20 - 11*w**3\/6 - 5*w**2 + 13*w. Let r be m(-10). Does 42 divide 2\/(2 + r\/(-555))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16434182 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 6*t**2\/11 + 110400060*t\/11 + 507840552000150\/11 = 0.\nAnswer: -9200005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**25*a*a*a**(-10\/3)*(a\/((a*a*a\/((a*a**8\/a*a)\/a)*a)\/a))**(-3\/17) assuming a is positive.\nAnswer: a**(1153\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 176, 361, 546, 731, 916?\n\"Answer: 185*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) + 2\/24. Let m = 0.31 - 2.31. Let w = m + 7. Which is the smallest value? (a) 0.1 (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*c - 3*g + 236 + 361 - 137, -2*c - 25 = -3*g - 0*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22731893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + -0.5. Let n = -335.83 + 335.33. Sort b, 5, n in descending order.\nAnswer: 5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/((-2 + (-460116)\/(-230060))*(-7)\/28). Round g to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 1. Let d be r(-1). Suppose -q - 51 = -d*i - 0*q, -5*i - 5*q + 90 = 0. Is (i - (0 - 2))\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4145997662?\nAnswer: 2, 2072998831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -o - 6, j = -7*o + 5*o - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trbbcitttib. What is prob of picking 1 c, 1 b, and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/60962 and 83\/1363332.\nAnswer: 14996652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 1, f: 1, t: 1, y: 1}. Give prob of sequence yk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvvkvvk?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 2. Let z(r) = -r. Calculate z(v(x)).\nAnswer: 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjttu. What is prob of picking 2 t and 1 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -338347 divided by -1\nAnswer: 338347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22850?\nAnswer: 2, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29967 by -1427.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 16*r - 13. Give m(-13).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2 + 2)*(-2*d + 3*d - 3*d) as q*d + x and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1150 (base 8) to base 14.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.81749673 to 1 dp.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 4. Let l(c) = -6*c**2 - 13*c - 9. Let x(o) = -5*o**2 - 12*o - 8. Let p(m) = 4*l(m) - 5*x(m). Let b be p(-7). Determine z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(425) + 1) + -1 + -4.\nAnswer: -30*sqrt(17) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 - (24\/36)\/(3\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqesqezzzsessjjqzqzs. Give prob of picking 1 j and 3 z.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -5. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1628 - 337977.297\nAnswer: -337977.1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.0023 - 0.0023. What is the closest to -0.1 in 6, 0.4, h, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3905*c**2 - 105485*c + 1350.\nAnswer: 5*(c - 27)*(781*c - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/(-14))\/((-1)\/(-14)). Let o = 23869 + -23839. What is the highest common factor of o and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(-11)*(((f*f\/f**(2\/3)*f)\/f*f)\/f)**37 assuming f is positive.\nAnswer: f**(263\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 172666367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4796, 2\/7, 1, -4.\nAnswer: -4796, -4, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s + 90 - 130 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 21*a + 26. Let i be p(14). Let u = 248 + i. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335130 is divided by 10154?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -201062*i. Let p(g) = -3*g. Determine v(p(o)).\nAnswer: 603186*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -377*r - 28665. What is g(-77)?\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37416.77mg?\nAnswer: 0.03741677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 12:57 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -7. Solve -y*o = o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 10*g + 16 + 20 + 21 - 14*g.\nAnswer: -24*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r - 38. Let q be 16\/(-80) - (296\/20 - 4). Let m(i) = 2*i - 13. Determine q*m(v) + 4*b(v).\nAnswer: 2*v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2852 and 1426.\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/161 and 9852\/1176 + 5 + -14?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 53*q**2 - 2*q - 82. Let p be l(-53). Suppose 5*k + 2*w = -2*w + 22, w + 5 = 4*k. What is the first derivative of f**k + p + 23 - 49 wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1488656 (base 13) in base 6?\nAnswer: -352330202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16502 - -16505. Let n = -2 - -1.8. What is the second biggest value in n, s, -5\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*197.951.\nAnswer: -79.1804","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/9))**(-16\/11) assuming w is positive.\nAnswer: w**(64\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 3, d: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2 - 4*g**3 - 2*g**2 - 2*g**3 + 6*g + 8*g**3. Suppose -s - 1 = 4. Let y(p) = 3*p**3 - 2*p**2 + 7*p - 3. Let b(u) = s*m(u) + 4*y(u). Factor b(a).\nAnswer: 2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c + 0*c)*(-5*c - c + 2*c)*((-73 + 97 + 41)*(2*c - 2*c + 2*c) - 3 + 3 - 2*c).\nAnswer: -512*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -89*k**2. Let c(l) = -38*l**2 + 1. Let u(w) = -6*w**2 + 3. Let v(n) = -3*c(n) + u(n). Calculate s(v(b)).\nAnswer: -1038096*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27991 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.7 take away -35809954025?\nAnswer: 35809954037.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 5*v**2 - 4*v + 0*v.\nAnswer: 5*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59, 67, 81, 101, 127?\n\"Answer: 3*q**2 - q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284 or -216.013?\nAnswer: -216.013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 942130 and 38062052.\nAnswer: 190310260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/7, 2, -6, 6 in decreasing order.\nAnswer: 6, 2, -1\/7, -2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458543.\nAnswer: 458543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7)\/f)\/f**17)\/(f**(-13)*f*f**(-2\/23)\/f) assuming f is positive.\nAnswer: f**(-274\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1200, 4811, 10830, 19257, 30092, 43335, 58986?\nAnswer: 77045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + 14534\/(-731) + 24\/(-3) - (-2)\/(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/6 + x**4\/6 - 3*x**3\/2 - x**2\/6 + 10*x\/3 - 2 = 0. Calculate x.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3 + sqrt(13) + sqrt(65)\/sqrt(5) + sqrt(13))**2 - (-2 + sqrt(13))*-4) + 5.\nAnswer: -703 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 795339472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5742 and 174.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -146667963 and -0.8282.\nAnswer: -146667963.8282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + t**2)*(4*t**2 - 4*t**2 - 3*t**2) + (-t + t + t**4)*(-5 + 3 - 12).\nAnswer: -17*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f**(-1))\/(f**(-2))**33 assuming f is positive.\nAnswer: f**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 701\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4340828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from pppkbgppkbkg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 41*d**4\/12 + d - 13. Let l(s) = s**2. Calculate u(l(t)).\nAnswer: 41*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -130 (b) 0 (c) 4 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2394 is divided by 610?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54.32, 3\/7, 1024, -0.3?\nAnswer: -54.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 - 127*i - 52. Determine b(27).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 8:22 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from mwmwwwm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303 equal to 1334875\/404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163745 (base 8) to base 16.\nAnswer: -e7e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 713*g - 2106 with respect to g.\nAnswer: 713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 at least -277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfrffffrlrfrfr. What is prob of sequence rrff?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(605) + 3 + -1 + -1) - (-4*(sqrt(605) + -1) - (4 + sqrt(605) + sqrt(605)*-1))*1)**2.\nAnswer: 462*sqrt(5) + 29654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 - 2*c + 2. Let w be a(3). Find the common denominator of 91\/6 and (6\/w)\/((-54)\/(-336)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - -20. Suppose 11*n + g = 151. Which is the second biggest value? (a) -6 (b) n (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*j - 29. Suppose -l - 5*c = -0*c + 3, -2*l - 6 = 2*c. Let z be (1\/5)\/(l\/j). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134850983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + 3 + 0 + (812 - 793)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:21 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + -2.5. Let l = -3 - t. Which is the nearest to l? (a) 0.5 (b) -2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 4*j - 1. Let b be v(-3). Suppose b*n + 13543293 - 52143293 = 0. What is n rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*k + 20 = -k, 0 = 2*k. Let y be (-10)\/4 + (-6)\/(-4) + z. Suppose 0*h = 2*h + 2*q - 4, 4*h - 8 = 2*q. Solve h*c = -y*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 - 12*p**2 - 31*p**2 + 347 - 17*p**2 + 75*p**2.\nAnswer: 2*p**2 + 347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2 + 2 + ((3 - 3 - 2)*(1 - 2 + 2) - 1 + 2 - 4)*((-2*u + 7*u - 3*u)*(-1 - 3 + 3) - 7*u + u - 4*u + (16*u + 8*u - 4*u)*(2 + 3 - 3)).\nAnswer: -138*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8845 + 5?\nAnswer: -8840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 69, 67, 65, 63, 61, 59?\n\"Answer: -2*a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5535 + 5594 = 31*s. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 3*d - 2. Let z be o(-4). Suppose z*x = -x + 15. Find the second derivative of 0*p**x + 2*p + p - 2*p**5 wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.5, -4\/31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 180 - 334. Let z = w + 300. Suppose 4*o = 34 + z. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 1. Let y(i) = -4*i**2 + 26*i - 5. What is -5*n(w) - y(w)?\nAnswer: -w**2 - 26*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 + 3*x + 7. Let t be p(-4). Let s = -68 + t. Sort s, -6, -4, -1.\nAnswer: -6, -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76.97+-1\nAnswer: 75.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 2*z**2 - 85*z - 352. Let c be u(-5). Suppose 2*v + 5 = 1, -4*v = 4*w + 28. Sort -17, w, c in ascending order.\nAnswer: -17, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4071*p**2\/7 + 4069*p\/7 + 2\/7 = 0. What is p?\nAnswer: -2\/4071, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2338781 (base 9) to base 7\nAnswer: 13522333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*r - 133*r - 17*x - 45, 4*x = -4*r + 124 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 17*k - 5\/6*k**4 + 0*k**3 - 3\/10*k**6 + 0 + 0*k**5 + 0*k**2. Find the third derivative of v(w) wrt w.\nAnswer: -216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = 0, -44 = -4*p - 5*m + 3*m. Let s be (-1*2 - -4) + -1. Let f be -3*s\/((-1)\/3). Calculate the highest common factor of p and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 24*g + 1. Let h(s) = -s**3 + 2*s**2 + 4*s - 2. Let y be h(3). List the prime factors of i(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -258023*f**3*v**2 - 62*f**2*v**2 - 11*f**2*v - 4*f**2 - 4*f*v**2 wrt f?\nAnswer: -1548138*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.45010951 + -2.8101083. Let x = a - 0.64. What is x rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**(2\/5)*(a**(-2\/5)\/a)**(1\/31))\/(a**(1\/5)*a*a*a**(-1\/7)*a*a*a*a**4\/a*a*a**(-3\/4)) assuming a is positive.\nAnswer: a**(-7349\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 1\/5, 3, 15, -5, 0.13, 210?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2 - 42*d - 9*d**2 + 32*d - d**3 - 5. Determine s(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -63. Differentiate 4*t - 2 + 3*t + 2*t - p wrt t.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -3*h - 44. Let p = -9 + h. Suppose p*j - 9 = 19. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plulwuulilultlttu. Give prob of sequence wi.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3.7. Let o = 0.283 - -0.387. Let r = -0.87 + o. Which is the second biggest value? (a) r (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-20)*(-10)\/36. Let a(q) be the third derivative of 0 + 0*q - 1\/180*q**5 + 0*q**3 - 2*q**2 + k*q**4. Factor a(u).\nAnswer: -u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.299, 5\/3, 3, 0.09?\nAnswer: -0.299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 bigger than 1.2334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*k**5 + 3*k**2 - 19*k**5 + 0*k**2 wrt k?\nAnswer: -1680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4268*v**3 + 17549*v**3 - 4411*v**3 - 4317*v**3 - 4260*v**3.\nAnswer: 293*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1315 + 601. What is z rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laalqqlqqllql. What is prob of sequence lqll?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -960034 + -0.03\nAnswer: -960034.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -q - 3*q - 28, -3*q + 2*p - 23 = 0. Calculate the smallest common multiple of (2 + (-2 - q))*2 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.8 - -22.\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(28\/8 + -1). Calculate the common denominator of -35\/18 and (6\/q)\/(96\/390).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167.746 + -0.254. Let x = -175 - z. Sort 0.4, 3\/4, x in decreasing order.\nAnswer: 3\/4, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/56 - (-4)\/14. Which is bigger: a or -1\/12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 2 - (4 - 5). Suppose g + 3*g - 11 = -5*f, -5 = -g - 2*f. Let u = g - c. Solve -4*p + u = -18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, c: 2, j: 3, o: 3}. Give prob of sequence jj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12000 take away 0.5?\nAnswer: -12000.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326894?\nAnswer: 2, 3, 37, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-1\/4)*c))\/(c*c**(1\/9)*c))\/(c\/(c*c*c**2*c)*c\/(c\/(c**(-3\/7)*c))))**(-47) assuming c is positive.\nAnswer: c**(-18565\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05588 - 5.05588. What is the nearest to 1 in 1\/2, g, 0.11, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 266672629*u**5 - 704*u**2 - 4*u - 377 wrt u.\nAnswer: 16000357740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5)*(-5)\/(-9). Let m = -6 + 5.8. Suppose 3*v - 5*z = -28, 4*z - 23 = 4*v - v. Which is the nearest to v? (a) l (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 19*t**2 - 2*t + 14. Let g be y(19). Let d(w) = -4*w**2 - 99*w + 5. What is the remainder when 229 is divided by d(g)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31798745?\nAnswer: 5, 11, 241, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109344765 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2\/266) + -6 + 6. Suppose -18*h = -23*h - 100. Let q = h - m. List the prime factors of q.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x + 105*x**2 + 9*x.\nAnswer: 105*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 22. Let r = 21 + -11. What is the greatest common factor of r and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 16*i + 31. Let p be v(-14). Solve -4*o = -2*l + 14, p*l = -l - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/105 + 23\/105. Let j(y) be the second derivative of 0*y**4 + 0 + y + 0*y**3 - y**2 + m*y**5. Differentiate j(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.1 + -195.3. Let i = -220 - p. Let o be (26\/24)\/(1\/(-3)). Which is the second biggest value? (a) 3\/4 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**3 - 8*u**2 + 6*u - 2. Let i(c) = -4*c + 7. Let h be i(3). Let v(k) = -4*k**3 - 5*k**2 + 4*k - 1. What is h*r(n) + 8*v(n)?\nAnswer: -2*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 0*z + 2*z + 2*z - 2*z + z + (-z + 4*z - z)*(1 + 1 - 4) - 4*z + 0 + 3*z + 1 + 4 - 3*z - 4.\nAnswer: -9*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 3, b: 2, i: 1}. Give prob of sequence ia.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4682 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/2 + 177*u**3\/2 + 1197*u**2\/2 - 1377*u\/2.\nAnswer: 3*u*(u - 1)*(u + 9)*(u + 51)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 10 = 6*o. Suppose -v + 5 = g, 0*v - o*v + 12 = 4*g. Which is the fourth smallest value? (a) g (b) 1\/3 (c) 0.5 (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15130000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/43, 3\/8, -16, -0.5, -0.8, 2.4, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1206 and 328869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 13*y + 19\/2*y**2 + 0 - 1\/6*y**3. What are the prime factors of q(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**2*x**2 - r**2 + 302*r*x - 788*x**2 wrt x?\nAnswer: -4*r**2 - 1576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 - 5*p**3 + 72*p**2 - 3*p + 1347?\nAnswer: 12*p**2 - 30*p + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000896098246 to 7 dps.\nAnswer: 0.0008961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -13 - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 127. Suppose -5*n = -0*n + d + 52, 0 = -o*d - 6. Let x be -4 + 64\/n*15\/(-6). Solve 5*l + 2 - x = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -567*r - 53 + 10 + 43 to the form k*r + i and give k.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 23. Let d be y(4). Let z be 12\/d + (-204)\/230. Let n = -0.8 + -0.2. Do z and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 3 - 2)*(-2*w**3 + 26*w**3 - 4009 + 4003) to k + b*w**2 + a*w + i*w**3 and give i.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-80) - (-1)\/(-8). Let k be 7\/(-99) - 4\/(-22)*(1 - 0). Sort z, 0, 0.01, k in decreasing order.\nAnswer: k, z, 0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 20. Let o = h - 16. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*h + 10 = 5*o, -2*o - 5*h + 9 = 0. What is the smallest common multiple of ((-12)\/9)\/(16\/(-168)) + -7 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -30. Let y = 52 - x. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 2201595975.58.\nAnswer: -2201595975.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.31? (a) -3\/17 (b) 12 (c) 773\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -0.07, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 * -0.319\nAnswer: -0.11484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 - -9 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*g + 0*g - 5379 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yssyssssys. Give prob of sequence yysy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 217 = 5*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -252*k**2 + 14*k + 13. Let j be v(-1). Let x = 383 + j. What is the highest common divisor of x and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (19 + -1)*(-9)\/(-27). Solve -g = 2*g + m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1b?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7007 divided by -143\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17238.88ml in litres?\nAnswer: 17.23888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5. Let n(j) = -j. Let a(w) = -2*n(w) - o(w). Let z(y) = 3*y + 8. Calculate -8*a(v) + 5*z(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 + 10?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2506 and 3222.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10499242 divided by 807634\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -1\/12*d**3 + 1\/4*d**2 - 1\/12*d**4 + 1\/20*d**5 + 1\/60*d**6 - d - 1\/84*d**7 + 0. Factor r(z).\nAnswer: -(z - 1)**3*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(1*(-15)\/50)\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2. Let z(j) be the second derivative of -j**3\/2 - j. What is z(q(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-27) + (-22)\/(-18). Let m be (b\/(-3))\/((-2)\/12). Solve 2*s - m - 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**3 - j**2 - 6*j - 6. Let m(l) = 12*l**3 + 2*l**2 + 10*l + 12. Let d(r) = -4*m(r) - 7*z(r). Determine d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1174*u - 31331 - 7957 - 13542 = 0 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + 575\/(-80))*(-60)\/5. Let v = 0 + 2. Which is the smallest value? (a) 3 (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175374, 175379, 175384, 175389, 175394?\nAnswer: 175399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 18*x**2 - 33*x + 151. Determine h(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -73008*153\nAnswer: -11170224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131138.\nAnswer: 2, 7, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(((s\/((s\/(s*s*s**(2\/33)\/s))\/s))\/s*s)\/s))\/s)**(-2\/139))**(-1\/5))**(-2\/53) assuming s is positive.\nAnswer: s**(8\/1215555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/24 - (-5)\/3. Suppose -3*d - k*z - 685 = 0, 7*d + 1130 = 2*d - z. Let h = d + 556. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -184021\/6 and -30670 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/3*s**2 + 0 - 4\/3*s**3 - 12*s.\nAnswer: -4*s*(s + 1)*(s + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845557279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2610a8 (base 12) to base 2\nAnswer: 10011000010101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 1:36 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4865 divided by -5\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49a66 + -14?\nAnswer: -49a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 27*p - 18*p - 10*p. Let u be o(-3). Solve 5*m = -u*d + 2, -5*d = -2*m + 9 - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15169974 is divided by 1516996.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - -10020?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -73*k + 251. Let f = -628 - -616. What are the prime factors of g(f)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = 2*o, 3*f + 2*o + 5 = 4. Let k(r) = r**3 + 2*r**2 - 1. Let u be k(f). Suppose -30 = -3*p - u*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(8)*-4)\/sqrt(288).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130888, -261736, -392584, -523432?\nAnswer: -654280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 62*o**2 - o. Let j(n) = -3096*n + 24776. Calculate the remainder when s(1) is divided by j(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -100*r. Let z(p) = -6*p. Give s(z(h)).\nAnswer: 600*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 25. Let l = i + -12.34. Let p = l + 0.17. What is p rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -85, -28 in decreasing order.\nAnswer: 2, -28, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2 - 132*b + 9558?\nAnswer: 2*b - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d - 4*r - 9 = 101*d, -5*r = 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c**2. Let m be 104 + (3 - 4)*1. Let r = -72 + m. Let p(k) = r - 31 + 3*k. Give j(p(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 2*y + 10. Calculate n(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 21*p**2 + 3*p - 230. Determine u(-20).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75088*b**2*s + 7545587*b**2 - b + 11*s with respect to s.\nAnswer: 75088*b**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5619 greater than -275322\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 2*g, -3*t - 3*g + 37 - 55 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/((2\/(-6))\/(-15*4\/(-360)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 e when three letters picked without replacement from gyey?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 3*l - 5. Let g(f) = 2*f**2. Let q be g(l). Solve 4*u = -i + q, 3*u + 2*u + 2*i - 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -41?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x - 11*x - 6*x + 2 - 6*x + x + 2*x - 2*x + 0 + 0 + (-x + 0*x - x)*(0 - 3 + 1) to a*x + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5132052?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 5*k + 3*k)*(k**2 + 0*k + 0*k) + (11*k - 12*k + 30*k)*(k**2 + 4 - 4) + 3*k - k**3 - 3*k.\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**(-9\/11) assuming k is positive.\nAnswer: k**(-9\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -641, -1297, -1953, -2609?\n\"Answer: -656*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112.8 + -7.8. Let f = s - 104.99. What is the second biggest value in 2\/5, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8*k*k*k\/((k\/((k\/(k\/(k\/k**11)))\/k*k))\/k)*k)\/(k**(4\/13)*k**(2\/11)) assuming k is positive.\nAnswer: k**(216\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 463*u - 27. Let m(h) = 2*h**2 - 926*h - 47. Calculate -4*m(t) + 7*v(t).\nAnswer: 6*t**2 + 463*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -96. Let b be (t*(-1 + 2))\/((-2)\/(-3)). Calculate the remainder when 23 is divided by b\/((-6)\/(-4)) - (-35 - -24).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -19*w + 6. Let c(q) = 50*q - 16. Let z(y) = 3*c(y) + 8*r(y). Let j(x) = 992*x. Determine j(z(h)).\nAnswer: -1984*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053415?\nAnswer: 5, 7, 13, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-6)\/3 - 66). Let r = -133\/2 - a. Factor -2*v + 1\/2*v**4 + r*v**2 - 2 + 2*v**3.\nAnswer: (v - 1)*(v + 1)*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -277, -186, 183, 926, 2139, 3918, 6359?\nAnswer: 9558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f = 0. Let z be (f\/(-2))\/2 - -1. Let n = -8\/15 + 1\/5. Is n smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 623, 1336, 3111, 5942, 9823, 14748?\nAnswer: 20711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-11) - 263\/1507. Let s = 129\/1096 + u. Let x = -432\/35 + 446\/35. Sort s, x, 0 in ascending order.\nAnswer: 0, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(5\/(-3) + 1). Let x(p) = -p + 2. Let m be x(i). Let q(g) = 2 - 2*g + m*g + 0*g. What is q(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2. Let t(d) = 12*d - 13. Give t(i(s)).\nAnswer: 36*s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 386095791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i + 5*z - 728 = 0, -4*i + 952 = 2*z. Suppose -i = -q + 2*u, 5*u - 2 = 3*u. List the prime factors of q.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwknwnettw. Give prob of sequence twk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27112.11t in nanograms?\nAnswer: 27112110000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344172931 to the nearest integer?\nAnswer: 18552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 14*u + 61. Let q be n(-4). Suppose q*g = -5*g + 20. Solve g*z + 0 = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -308 + 312. Sort 0.1, a, -0.6 in ascending order.\nAnswer: -0.6, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (0 + 1)) + (8 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.6 - 3.2. Which is the third biggest value? (a) 2 (b) -2 (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232027899?\nAnswer: 3, 77342633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h - 6. Let y = 16 + -11. Let o = y + 0. What is the units digit of a(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1900) + 0)**2 + sqrt(1900) + -3).\nAnswer: -3794 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = 3*x - 8, 3*k + 5 = x. Let q(t) = -3 + x*t + t + 1 + 0*t. Determine q(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40557 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -565 less than or equal to 59.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/7 - 8198*k**3\/7 - 65521*k**2\/7 - 1164*k + 49140 = 0. What is k?\nAnswer: -8190, -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -932 + 2. Let i = c + -404. Let p = i + 2263. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 4*r**2 - 3*r - 1. Suppose 23*a - 6*a = -119. Let v(t) = 6*t + 44. Let m be v(a). Let o(u) = -3*u**2 + 2*u + 1. Determine m*y(l) + 3*o(l).\nAnswer: 2*l**3 - l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 550 + -303. What are the prime factors of k?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 245*k - 6. Let x(v) = -2*v**2 + 245*v + 7. What is 7*j(t) + 6*x(t)?\nAnswer: 2*t**2 - 245*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25263014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvvc when four letters picked without replacement from vvvvvvvvvvvc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1293914 is divided by 290.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**(-20\/7)*x*(x**(-11\/4)*x)\/x assuming x is positive.\nAnswer: x**(87\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 4. Let s be 1\/(30\/9 - 3). Let b be j(s). Let l be 15\/(-10) - b\/(-4). Is -1 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1341570 and -1341567 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5712730 and -95.\nAnswer: -542709350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, l: 7}. What is prob of picking 2 l and 1 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 5. Let s be (-1)\/(j\/26 - -2). Suppose -4*v = -3*b + 27, -4*b + v = -v - s. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 933.2029l to millilitres.\nAnswer: 933202.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18937390, 18937389, 18937388, 18937387?\n\"Answer: -z + 18937391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 584133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -2\/7 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 13*f + 10. Let r be a(-12). Sort -1, -4, -5, r.\nAnswer: -5, -4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 4, j: 1, n: 2, u: 10}. Give prob of sequence xu.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 43*d = -4*q + 16, 2*q - 8 = 4*d. Solve 2*v - q + 10 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2, 3\/124, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 3}. Give prob of picking 2 x and 1 b.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8044172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -15*i**3 - 8*i**2 + i - 1. Let j be b(-2). Let p = j - -198. What are the prime factors of p?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 0.2?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7. Let x(n) = n**3 - n**2 - n + 5. Let z be x(0). Suppose z*k - k - 12 = b. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7072 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (-19)\/(-2) + (-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:01 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (sqrt(12)\/sqrt(2))\/sqrt(3) + -2.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 2*c**3 - 4*c**2 + (-4 + 4 - 2*c**3)*(-3 - 2 + 3) - 5 + 2*c**3 - 286*c**2 + 286*c**2 + 4*c.\nAnswer: 8*c**3 + 4*c - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3456\/(-352) + 6\/(-33).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = 4*k + 87*h - 85*h, 2*h - 56 = -k. Solve -5*r + 47 = k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149340 divided by 5?\nAnswer: 29868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 22*u - 26 = 0. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-21))\/((-302)\/12684)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -820*v + 836*v + 144 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0*z**2 - 7\/6*z**3 + 3*z + 0 + 7\/12*z**4. Find the second derivative of v(a) wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10800 by -450.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 23*c**2 - 25*c + 39. Determine y(22).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l = 70*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*v**2 - 3*v**2 + 27*v**2 - 2 + v**2 + 2 + v**2 - v**2 + 2*v**2 + (-2 + 2 + 2*v)*(4 - 4 + 2*v) + v**2 + 0*v**2 - 3*v**2 + 0 - v - v**2 - 3 - 2*v.\nAnswer: 14*v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/23, -104, 3, 0.2?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/4 + -1)*-10. Suppose 0 = -9*i + 4*i + m. What is the greatest common factor of 117 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -231 - -231. Factor 0 - 2\/9*z**3 + l*z**2 + 2\/9*z.\nAnswer: -2*z*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2563992 = 4*n, -825573 = n - 4*p - 184581. Round n to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 3 + 1 - 4*a - 4*a - 6 - 2*a**2 in the form f + c*a + q*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21016, -21020, -21024?\nAnswer: -21028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.1 + 12.38. Let m = j - -37.92. Let o = 36 - m. What is o rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 2\/429851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*2*124\/(-93)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 5\/2*p**7 + 0*p**6 + 30*p**2 + 0 - 65*p + 0*p**4 + 0*p**5 - 1\/6*p**3. What is the second derivative of s(w) wrt w?\nAnswer: 2100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256356508.\nAnswer: 2, 814089127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46441 + 46387. Let z(q) = -14*q**2 + 2*q - 2. Let h be z(2). Is h bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -122 - 1843. Suppose -r - o = -4*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 27. Let d = -9 - f. Is d < 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33822, -33789, -33756?\n\"Answer: 33*k - 33855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 6:05 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (194\/(-3))\/((-42444)\/(-63666))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 19 - 19 - 27*o**2 + 102*o**2 + 21*o**2 + (-5*o**2 + 6*o**2 + 0*o**2)*(0 - 2 + 4) - 2*o**2 - o**2 + 5*o**2.\nAnswer: 103*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let i = -3970 + 3974. Which is the second biggest value? (a) w (b) -1\/6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*u + 15 = 0, u - 6*u + 25 = 0. Let y(m) = m**2 - m - 1. Let w be y(-1). Sort k, 0, 3, w.\nAnswer: 0, w, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by 4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-32))\/(12\/(-16)). What is the fourth biggest value in p, 1, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 + 837 = 9*z. Suppose -2*b - 2*f + 106 = -144, -2*f = -b + z. Is 28 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = 4*v. Suppose 5*o - 15 = v*c - c, -3*c - 5*o - 60 = 0. Is 3\/c*32*-5 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7451235 + -32926118. Let z = 25474864.899873 + j. Let k = -18.1 - z. What is k rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*n - 4, 4*n - 10 = -n. Suppose 44 = -3*h + 2*h. Let a = h + 40. Sort -3, a, w in ascending order.\nAnswer: a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/21 + 2\/6. Let a(r) = -4*r**2 + 1. Let b(c) = c - c - 20*c**2 + 11*c**2 + 2. What is w*b(h) + 5*a(h)?\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/(-10) + (-1)\/(-2). Let q = -1 + r. Suppose 3*h - 191 = o, 3*h - q*o = 3*o + 175. Calculate the greatest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3491259.\nAnswer: 3, 1163753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 215. Let y = -50 + q. Let t(u) be the second derivative of u**5\/20 + u**4\/2 - 7*u**3\/6 + u - 2. Determine t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzg when three letters picked without replacement from zzonnzogpzznnzzzo?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5085 + 3*v - 5085.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15588156?\nAnswer: 2, 3, 1299013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21961340 and -1376.\nAnswer: 21959964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/12 in 400\/3, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 22*x + 13 = 0, -816484*x + 11 = -3*w - 816486*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(1\/(-2)). Let a(w) = 18*w - 555. Let u be a(31). Let t = u + m. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -288, -345, -408, -471?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 36. Which is bigger: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29017 - 18728. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -9*o**8\/112 + 7*o**4\/6 + 3*o**2 - o. Let u(n) be the first derivative of h(n). Find the second derivative of u(s) wrt s.\nAnswer: -540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.025907881 - 225.023997881. Let d = h - -225. What is d rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 31*r - 34 - 5*r - 9*r + r + 33*r. What is the hundreds digit of u(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 497275506 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/3 + 6*i**3 + 16*i**2 - 2*i. Factor s(c).\nAnswer: 4*(c + 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-536)\/30 - (-76)\/(-570). Let z(g) = -2*g**2 - 42*g - 69. Let y be z(a). What is the greatest common divisor of y and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*l**2 + 125*l**2 + 55*l**2 - 70*l**2 + 231*l**2 + 15*l**2.\nAnswer: 595*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -15. Let m be (4 + -5)*(-1 + k). Let o = m + 9. Solve 0*z + o*z - 5 = -b, 0 = -4*z - 5*b + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/5 + 261\/36. Let r = -0.018 + 1.018. What is the nearest to 0.8 in -4, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**4 - 9*o**3 - 10*o**2. Let p(w) be the third derivative of w**6\/120 - 24*w**2. Let s(c) = -4*p(c) - 2*r(c). Factor s(u).\nAnswer: 2*u**2*(u + 2)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 3. What is l in x*l**3 + 4*l**3 - 13*l**3 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25433 is divided by 641?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 16*b = -6*b + 12980. What is the lowest common multiple of b and 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 366 and 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 3*a**2 - 3*a. Let t(d) = -9*d**3 + 13*d**2 + 13*d. Give 6*t(j) + 26*u(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 12 = -20*i + 4*z, 0 = -2*z - 4. Sort -3, -11376, i in increasing order.\nAnswer: -11376, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -70?\nAnswer: -39\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -660500 rounded to the nearest ten thousand?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/((-76)\/114*2*(-6)\/832)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -6. Suppose 0 = -w*m + 6*m - 13. Let s(v) = v**2 + 12*v + 6. What are the prime factors of s(m)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485 is divided by 524.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w + 4. Suppose w*n = 5*c - 805, 4*n = -c - 0*n + 137. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*g + 750 + 1254, -5*g = 2*h - 4986. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 58, 198, 466, 904?\n\"Answer: 7*b**3 + b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 23*s = -25*s + 24202, 0 = 3*s + 15. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c - 24 = -43*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u + 41*u - 15 = 1600 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*f + 5*d = -317*f + 165*f + 8, -3*f = -3*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4228732068 to the power of 1\/4, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 385.\nAnswer: -5005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 146, 223, 302, 383?\n\"Answer: z**2 + 74*z + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191932061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 19592?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1232\/176)\/((-42)\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 7*z**3 + 2*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-37)\/(-74))\/(15\/6). Suppose -16 = 2*j - 2*x, j - 5*j + 2*x - 26 = 0. Let z = -5 - j. Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.09 - 5. Let i = 0.19 - f. Let d = 55 + -58. Which is the closest to -1? (a) i (b) d (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110120 (base 3) to base 8\nAnswer: -2054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 12*w + 33 = 0. Suppose -4*g - a + 13 = 0, 10*g - w = 5*g + 4*a. Suppose -3*l + 144 = 4*o, -3*l + 6*o - g*o = -165. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 200.64, 0.53 in increasing order.\nAnswer: 0.53, 4, 200.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, 28, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 12*d + 4. Let b be u(-9). Let k = b - -58. Solve -4*z + r = -13, 6*r - r = 5*z - k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.049 (c) 43 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let p = 5.3244 - -0.0556. Let z = 0.38 - p. Which is the nearest to m? (a) z (b) 0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 2*y + 4. Calculate g(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 214555819650050*c**3 - 858223195740160*c**2 - 331440152*c - 32.\nAnswer: 2*(c - 4)*(10357505*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, j: 5, v: 4, g: 1, f: 1, a: 1}. What is prob of sequence gjjv?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d - 33. Let u(z) = -16*z + 134. Let o be u(8). Let r be g(o). Suppose -8\/9 + 2\/9*t**2 + 2\/9*t**r - 8\/9*t = 0. What is t?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 326*q + 13180. Determine x(-45).\nAnswer: -1490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-60)*462\/(-77)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15521554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322\/104 - 494\/152.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90.01 + 90. Let t = v + 0.009937. What is t rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2720.6 + -2726.6. What is the second biggest value in 1, 5, w, 112?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/101868760 or 1?\nAnswer: 1\/101868760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:31 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117609 + 927694. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*181\nAnswer: -54.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 284372, 1137523, 2559442, 4550129, 7109584, 10237807?\n\"Answer: 284384*m**2 - m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 7*n**2 - 4*n + 10. Let c be s(-5). Which is greater: -2\/13 or c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeeeeeeqvvqvdvevd. Give prob of picking 1 d and 1 q.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**7\/2 + 3*m**6 - 15*m**5\/2 + 10*m**4 - 15*m**3\/2 + 3*m**2 + m. Factor d(v).\nAnswer: -3*(v - 1)**4*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*y**3 - 2 - 15*y + 2*y + 4*y + 9*y.\nAnswer: 119*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3*(-11)\/(-33))\/(3\/(-15)))\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22699191.\nAnswer: 3, 7566397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 5*d**2 + 2*d - 2. Determine o(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11660 and 7844?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*u**2 - 68*u + 68*u to c*u + o + p*u**2 and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 47. What is the second derivative of 11*n**2 + b*n**2 + 25*n - 4*n - 2*n**2 wrt n?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l - 156. Let x be f(-31). Let i(s) = -s - 1. Let h be i(-5). Let m = x + h. Solve 2*g = -2*b - 0*g - 16, 4*g = m*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.896 times -4?\nAnswer: 927.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * -271347.\nAnswer: -9768492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 2*k**2 + 107*k. Let g(w) = -2*w**3 + 3*w**2 - 109*w - 1. Calculate -3*d(t) - 2*g(t).\nAnswer: -2*t**3 - 103*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/1617 and 23\/112?\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17862330*f**3 + 5*f**2 + 12*f + 10795 wrt f.\nAnswer: 107173980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*3\/6 - -1. Do 3 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 4) to base 7\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 6*a**2 + 5*a - 7. Suppose 0 = 4*j + 1 - 9. Let m be 1\/j*(-2 - -2). Suppose 0 = 4*p - m*p - 20. Determine v(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43566 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9200 and 216820080?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 8*f + 6. Let o be w(6). Suppose 0 = 6*i - 2*i + 2*c - o, 0 = -c + 1. Suppose p + g + i*g = 44, 5*g = 25. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20430053 (base 6) in base 14?\nAnswer: 116b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*w - 19, 5*w = -5*g + 10. Calculate the highest common factor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + p + (p - p + 4*p)*(1 + 1 - 1))*(7 + 4*p - 7)*(-3 + 5 - 3)*(3 - 3 + 1).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992 is divided by 205.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*j, -5*j - 15 = l - 2. Let g be (-2)\/l + -16 + 2. Let m be (-1)\/((-12)\/g - 1). Solve 2*t = m*a + 2, 4*a + 2*t = -1 + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1 - 1)\/((-192)\/(-48)). Let o be 2 - (-3 - -7 - 24). Solve h = 3*p + 5*k - o, 9 = -p + 2*p + 2*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 13. Let a(o) = -41*o**3. Calculate the remainder when a(-1) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 16, 32, 62, 112, 188?\n\"Answer: l**3 - 2*l**2 + 7*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2824 = 2*h - 4*h - 4*q, -5*h + 5*q + 7135 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1963 and 2056522?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -402303 (base 5) to base 7\nAnswer: -52254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -2.7, -1\/4, 2 in decreasing order.\nAnswer: 2, -2\/11, -1\/4, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 21*z**2 + 40*z + 25. Calculate x(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17865840 to the nearest integer?\nAnswer: 4227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -1812, -6039, -14246, -27753?\nAnswer: -47880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from uykrg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 + 10*h + 8. Let g be m(-6). Let v = 74 + g. Suppose -2*x - v = -5*n, -x + 5 = n - 2*x. Solve -w = -n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = -1252650*t + 1252668*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302 - 288.7. Let v = t - 13.29938. Round v to five decimal places.\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*b + 17 = 0, 2*b = -2*w + 8 + 10. Let g(s) = -2*s - 1. Let y be g(-3). Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*a + 11 = 4, 4*n = 3*a + 23. Let k(o) = -o + 8. Let c be k(6). Suppose 0 = c*t + n*f - 74, 2*t + 3*f = t + 39. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g = 11*t + 160*g - 55, 0 = -g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*k*p - 3*i*p**3*y - i*p*y**2 + 2*i*y - 84*k*p**3*y**2 - 246*k*p**3 - 2*k*p - 21*k*y**2 wrt y.\nAnswer: -2*i*p - 168*k*p**3 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 18*g + 23 = -22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -398 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 0)*(-3 + 0 - 1)*(-1 + 2 + 1)*(-t**3 + 3*t**4 + t**3).\nAnswer: 216*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351207578477*p**2 + 1 - 1 - 351207578473*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, l: 4}. What is prob of sequence llll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657873 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 12436?\nAnswer: 12436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184271.7 litres in millilitres?\nAnswer: 184271700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (36567\/4302)\/((-10)\/(-4))\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -14. Suppose 2*l + 6 = -4*b, -4*l - x + 57 = -5*b. Solve -1 = -l*u - 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40888 + 203644\/5. Let s = r + 158. Which is the smallest value? (a) 2 (b) -2 (c) s (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -9) + (2 - 4) + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 225 = -2*k. Suppose 31 + k = 4*b. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -197\/3 (b) 4\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.597 - -0.55268. Round b to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/5)\/(72\/(-10) + 8). Which is the third biggest value? (a) -0.6 (b) 0.03 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 + 2*z**2 + z. Let x = 2 - 3. Let m be j(x). Suppose 15 = m*o - 17. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 9\/5*v**2 - 6\/5*v**3 - 4\/5*v + 1\/5*v**4.\nAnswer: v*(v - 4)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24841369679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)*q\/q**(4\/7))\/(((q\/(q**(-4\/5)*q))\/q)\/q**(-1\/5)) assuming q is positive.\nAnswer: q**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 22 = 3*w + 3*k, 2*w + 4*k - 20 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4907 is divided by 120?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -63\/76 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8306.901mm?\nAnswer: 8306901000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-18 - (-384)\/(-32)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 1870.\nAnswer: 13\/935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -159*v**7\/7 - 103*v**3\/3 + 78. Find the third derivative of l(s) wrt s.\nAnswer: -19080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = w + 3, -l - 6*w - 12 = -2*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/336)\/(2*1\/(-54))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 579717 and 223551?\nAnswer: 34203303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103 + -90 + ((-5 - 5) + 8 - -62)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 147074*a**3 - 4*a + 2 + 4*a**2 - 3 + 4777*a**3. Suppose 9 = 13*z - 30. Let w be y(z). Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-46) + (-194)\/(535440\/306).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awwaawwawaaawawawaw. Give prob of sequence wa.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-45)\/6)*((-1615)\/1596 - -1)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4859.\nAnswer: 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3665563914 to the nearest integer?\nAnswer: 60544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 549*v + 8784. Let y be u(-16). Suppose 71 = 2*g - 5*l, -2*g - 3*l + 150 = 39. Solve 3*h + 15 = y, -5*j - 3*h - g = -8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5010)\/(-8)*(-88)\/(-33). Is d\/8 + 2\/24*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 14. Let m be h(11). Suppose -n - 3*s + 12 - m = 0, 9 = 4*n + 3*s. Let l be (-219)\/(-446) + ((-275)\/22 - -12). Is l greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o - 5 = -25*o, 2*o + 597 = 5*c. Suppose 22*m - 57 - c = 0. Solve -20 = 12*w - m*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 7*u**2 + 8*u - 5. Let y be p(6). Suppose 0*g = 2*g. Let a be ((-4)\/14)\/((-10)\/140). Solve -a*t + x - 16 = g, 2*x = y*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48713 = 110*w - 45523 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 11732\/(-1190)) + (-1)\/(-5)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-2\/43)*l))\/l*l**(1\/57))\/(l*l**(2\/71)*l*l\/(l*l**(-4\/5))) assuming l is positive.\nAnswer: l**(-3275174\/870105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*v**3 + 149*v**3 - 438*v**3 + 135*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + -14 + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7942, -15452, -22528, -29170, -35378?\n\"Answer: 217*y**2 - 8161*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 4*n + 8*n**3 - 4*n**4 - 4*n + 6*n**4 + 17*n - 1 to the form m + y*n + s*n**3 + z*n**2 + d*n**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**2 - 19*a - 18. Let q(w) = -6*w**2 + 18*w + 17. Let c(i) = -6*q(i) - 5*r(i). Let n be c(14). Is n\/(-5) + 1985\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1216\/330 + (3 - (-172)\/(-60)) and -67\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 28125*j**5 + 139875*j**4\/2 + 137629*j**3\/3 - 746*j**2 + 4*j + 1966. Factor g(t).\nAnswer: (t + 1)**2*(375*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 9. Let y be b(6). Let r be 1\/(-3) - (-32)\/6. Let t = y + r. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2342887.31 and -0.06.\nAnswer: 2342887.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/767190 and 199\/50190.\nAnswer: 5370330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -13*g**5\/10 + g**4\/8 + 132*g**2. Let f(r) = -2*r. Determine d(f(y)).\nAnswer: -312*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1126053 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 78, 128, 186, 252?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3640 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 - -c1?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -60, 362 in decreasing order.\nAnswer: 362, 5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78784 is divided by 1585.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 - 0.1. Let m = -0.9 + b. Let z = 0.05 + 0.15. Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2628 and 3204.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 26*v = 2514. What is the second derivative of -51*q**4 + 1219*q + 2*q**4 - v*q wrt q?\nAnswer: -588*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 182, 277, 374?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85819 less than 2312.614?\nAnswer: -83506.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31\/11 + 104\/88 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172655701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 66. Suppose z*v - 444 = 2*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3879743*j**3 - 59*j**2 + 107*j - 79 wrt j?\nAnswer: -23278458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -4 + -2 + 53. Suppose 4*a - v = 2*a + 4*m, -3*a + 2*m = -62. Is a < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4 + 37*z**3 - 189*z**2 - 997*z + 1148 = 0 for z.\nAnswer: -41, -4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27448 divided by 13724.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmqfffddfqqqqqdfdffq. What is prob of picking 1 m and 3 f?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2*y + 2*f**2 + 27*f*y - 24743*f - 2114787*y + 1 wrt f?\nAnswer: -4*f*y + 4*f + 27*y - 24743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -5*k**7\/126 - 4*k**6\/9 - 23*k**5\/12 - 35*k**4\/9 - 10*k**3\/3 + 266*k. Solve l(o) = 0 for o.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 10*w - 252.\nAnswer: 2*(w - 14)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/120 - 2*h**5\/15 + 7*h**4\/24 + 2*h**3\/3 - 2*h**2. Let d be p(7). Suppose 0 - 220 = -d*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1713 and 300?\nAnswer: 171300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1151 + -564. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2667 + 3?\nAnswer: 266a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1 (b) -0.5 (c) 0.042 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/8*(-4 + 0). Let p = -4 - -4. Put -1, p, o in ascending order.\nAnswer: -1, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 52, -0.11, 0, -2, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-96)\/(-72) - 550\/12)*-2. Let c = m + -68. Calculate the remainder when c is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y**2 - 6. Let x(n) be the first derivative of -n**2\/2 - 667. What is x(l(r))?\nAnswer: -9*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -2*k**5\/105 - 5*k**4\/6 - 68*k**3\/63 + 945. Suppose w(y) = 0. Calculate y.\nAnswer: -34, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*w + 5, 10 = p + 565*w - 568*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z - 3*p = -58*z + 14, 0 = z + p - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o - 1 - 4*o + o**2 - o**4 + 0 - 3*o as a + v*o**2 + u*o + h*o**4 + b*o**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/29 + 95\/232. Which is the nearest to -2\/5? (a) 9 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laza when four letters picked without replacement from aazaalaaa?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.038.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(45\/4))\/(1596\/(-3990)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x**2 - 8*x**2 - 11*x**2 + 6*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 3*c**2 + c - 6. Let l be k(3). Let m be 1*(l + 1 + 2). Solve 4*h + 1 + 3 = m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53657 is divided by 197.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-1\/7)\/u)\/u)\/u**(-4))\/((u**(-2\/3)\/u)\/u**0))\/((u\/(u**(-1\/2)*u)*u**(-3))\/(u**(-2\/11)\/((u*u\/(u**(-1\/8)\/u))\/u))) assuming u is positive.\nAnswer: u**(8717\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50 - (-60078)\/1209 - 94\/(-52)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 821437 - 310608. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**3\/2 + p**2 - p. Suppose 4*x + 37 = 45. Let n(j) = 13*j + 9. Give x*n(a) - 9*y(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191\/4 + 48. Let p(m) be the first derivative of m**3 - 3\/2*m**2 - 2 + m - l*m**4. Solve p(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {e: 5, j: 1, v: 1, z: 1}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 146581, -13, 21 in decreasing order.\nAnswer: 146581, 21, 4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 6*h**2 - 8*h + 9. Let c be k(7). Suppose -4*b + 32 = -2*g - c*g, -3*b - 16 = 5*g. Solve b*l = -0 + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/44*4\/(-6)*1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)\/(13\/65). Suppose -4*c - j = -9. Let o be 5 - (3\/c - 0). Solve 4*m = -3*r + 17, 2*r + 24 = -o*r + 4*m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/81 (b) 9\/7 (c) 6 (d) -104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*f - 12, 0 = 2*f - 7*f. What is the third derivative of -3*y**2 - 16*y**4 + 16*y**4 + u*y**5 wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 480b8?\nAnswer: 480be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 0.5 (b) 3\/2 (c) 1\/8 (d) -19 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 41*c**2 + c - 1. Let j be d(1). Let l = j + -21. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*g - 13. Suppose -o = -3*s + 175, 0 = g*s + 4*o + o - 265. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -14.8. What is the fourth biggest value in 0.03, -0.4, z, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.91 and 0.2485?\nAnswer: -0.474635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010100 - 10?\nAnswer: -1000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519848*f**2 + 676526*f.\nAnswer: -1039696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + p + 3. Let o be b(0). Let y = 4 - o. Let z(w) = 184*w**3 - w**2 + w. Let s be z(y). What is the greatest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6141 + -55201\/9. Let m = 4643 - 148519\/32. Let y = 521\/544 - m. What is the common denominator of y and n?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let k = 1.7 + 10.3. Let z = k - 17. What is the nearest to w in 3\/5, 4, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddiodiid. Give prob of picking 1 o and 2 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v - 6. What is the tens digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21292 = 4*y - 4*k, 2*y - 7*y - 26635 = -k. What are the prime factors of (-2)\/((-4)\/(-14))*y\/259?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1232 and 93\/2464?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2012*q**2 - 6238*q**2 + 4 + 2007*q**2 + 2056*q**2 as r*q + m*q**2 + j and give m.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11653*l**2 - 3368*l**2 - 9 - 8404*l**2.\nAnswer: -23425*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506, 512, 518, 524, 530?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 2*o**2 + 2*o**4 + 3*o - 3 - 2*o**4 + o**3 + 4 in the form f*o**4 + r*o**2 + b*o + q*o**3 + d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5393*h - 5473*h = 5360 for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*m**4*p - 6*m**3*p**2 + p**2 + 103 with respect to m.\nAnswer: 80*m**3*p - 18*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 325, 956, 2099, 3904?\nAnswer: 6521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24629077 to the nearest integer?\nAnswer: 4963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-2)\/((-53)\/((-147393)\/(-594))).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283372092 to the nearest integer?\nAnswer: 16834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 14 - 6 = 0, 0 = -3*c + 2*j + 8. Let o = -185.2 + 185. Suppose 13*d + 8 = 17*d. Sort 0.2, d, c, o.\nAnswer: o, 0.2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/21*((-15196)\/(-1537) - 10) - 16155\/265.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 15. Calculate the lowest common multiple of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 16. Solve -3*d = -5*i - d, -5 = u*i - 3*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 38. Let l be z\/(-26)*18\/(-45). Let r = 3 - 4. Which is the biggest value? (a) l (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 29 = -4*f - 2*l, 5*f - 5*l - 40 = 0. Let a(d) = d**2 - 5. Let c(q) = 3. Determine f*c(h) + 3*a(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2316 - 1640. Suppose -n = -3*t + 2777. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 4*m**2 - 5*m**2)*(3 + 3 - 3)*((2 + 2 - 5)*(3 - 1 - 5) + 2 - 1 - 3).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -898 - -904.53. Round t to 1 dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13333, 16.\nAnswer: -13333, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1139 - -1992. Suppose 3*s + 11*m = 6*m + 10, 3*m = -2*s + 7. Suppose s*r - 4*k - 758 = 285, 0 = 4*r + 3*k - o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 8*g + 2. Let r(z) = 0*z**2 + 0 + 9*z**g - 13 - z - 8*z**2. Calculate the smallest common multiple of r(-8) and 2.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 11. Let w(h) = h**2 - 7*h - 8. Let o be w(-1). What is i(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 384?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -214 + 118. Let j = g + 95.163. Let u = j - -0.8. What is u rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -32*h. Let g be j(6). What is the common denominator of 107\/12 and (-4)\/(g\/(-69)) - -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911580.7183 rounded to the nearest one hundred?\nAnswer: 3911600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - -4803636.\nAnswer: 4803636.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*z - 660980 = 226*z + 202*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 6) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2. Let m(w) = -2433571*w - 22. Give m(f(g)).\nAnswer: -19468568*g**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210655*f**3*n**3 - f**2*n**3 - 2*f**2*n**2 - 10272*n**3 + 9*n wrt f.\nAnswer: -1263930*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1662*k**2 + 102*k + 26. Let j(i) = -2493*i**2 - 153*i - 42. Let x(o) = 5*j(o) + 8*w(o). Find the second derivative of x(y) wrt y.\nAnswer: 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 4*d**2 + 2*d - 5. Let f be (-27)\/5 - (-4)\/10. Calculate the remainder when (45 - 0)*(-4)\/(-10) is divided by i(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 958 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7307*w - 144. Let c(o) = -97964948*o + 1930632. Give 6*c(h) + 80443*y(h).\nAnswer: 7313*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -0.5, 944\/7, 3\/2, 4\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 641*i*x**2 - 433*i - 119*x**2 - 84*x wrt x?\nAnswer: 1282*i - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*b + 4*b. Let i be (-1)\/((-1)\/((-6)\/(-2))). Is i > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 + 2)*(3*d + 0 + 0) - d + 2*d + 0*d)*(-2*d - d + 4*d) in the form y*d**2 + p*d + w and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (192\/24)\/(2\/(-16)). What is the tens digit of (-144)\/k*(-848)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28916113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721, -1460, -2193, -2920?\nAnswer: -3641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 233993478 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 3*z**2 + 2*z + 6. Give a(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 13*f**2 + 11*f + 17. Let o be k(5). Calculate the remainder when (((-248)\/o)\/2)\/(6\/9) is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 45 + 43 + 2*w + w to s + n*w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 672 - -100150?\nAnswer: 101042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035366 rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*s**2 - 98*s.\nAnswer: -2*s*(12*s + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**38)\/(g\/g**(-8\/15)))\/(g\/(g\/(g**(-3\/13)*g)*g))**(-1\/13) assuming g is positive.\nAnswer: g**(94933\/2535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-15)*(0 + -1) + -1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/48)\/(175\/(-2800)))\/(-3*(-12)\/(-3834)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/(-175))\/(4\/(-14)))\/(419\/27654)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {j: 3, c: 1, b: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1315423 + 15?\nAnswer: 1315440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/13 + 1684008*w\/13 + 15155910\/13 = 0. What is w?\nAnswer: -841995, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10136405\/(-38)*(27\/(-15) + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*f - 25. Let a = f + 8. Suppose -5*l + 4*d + 367 + 226 = a, 0 = -2*l - 5*d + 257. What is the greatest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20081126, 20081123, 20081120, 20081117, 20081114?\nAnswer: 20081111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 - -4.1. Round d to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (591\/(-1576) - (-6)\/16)\/(-1). Let s(d) be the third derivative of w + 1\/6*d**3 + 42*d**2 + 1\/24*d**4 - 1\/30*d**5 + 0*d. What is s(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 256, 4\/3, 4, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 78.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - a + 4. Let t be k(5). Let g be (2\/(-3))\/((-3)\/t). Suppose w = 3*l - 6*l + g, 4*w - 55 = -l. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1296 (c) -0.5 (d) -3 (e) -0.2 (f) -2 (g) 2\/45\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 + (1 - -6))*20008\/40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0394365 millennia?\nAnswer: 473.238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1870044702 and 604?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010 - -1011001111?\nAnswer: 1100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/(-21)*1*36 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = 0, 3*f = -2*z + 12 + 11. What is the units digit of z\/12 + 226\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4764*u - 2975. What is the hundreds digit of c(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-3)\/(-18)*-3. Suppose 0 = -c*q - 26*q + 406. Let n(k) = -2*k - 3. Let j be n(-4). Solve -6 = 3*g - 2*o, j*g - 3*o = -q + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85426145 divided by -12203735?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*t + r - 1528, -5*r + 394 = t. Suppose 4*q = a - 121, -4*a - 8*q + t = -3*q. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -2\/15, 3422777.\nAnswer: -2\/15, 1\/7, 3422777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 16*h - 120 = 0, b + 5*h - 150483 = -150527 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3357, -3338, -3319?\nAnswer: -3300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 - 0.63. Let z = 0.6 + v. Let t(k) = -k. Let g be t(-3). What is the nearest to z in 0.4, -2\/7, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 240 - 155 = 0. Let l be -5 + 1 + y + 3. Solve 3*m = -3*o - l + 1, 2*o = -3*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*w + 13 - 2, 10 = 4*d + 2*w. What are the prime factors of 0 + (3 + 3)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m. Let x(r) = 1. Let v(q) = -q - 4. Let a(f) = -v(f) - 4*x(f). Give s(a(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 11. Let c = 42 - 36. Let i be t(c). Let o be 7\/7*i\/(-3). What is the biggest value in 0, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 22 = -13. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1735 (base 11) to base 14.\nAnswer: -b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 - -15.1. Let x = 1.6 - -10.4. Let t = x - l. Put 2, 2\/9, t in increasing order.\nAnswer: t, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38911\/9 - -4331. Find the common denominator of h and (-805)\/(-294)*(-4)\/5.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1634215?\nAnswer: 5, 11, 43, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (267\/(-54) - -5)\/(6\/240)?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide ((-74)\/6)\/((2 + 5)\/(-147))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 1589*x**3 + 35 - 77.\nAnswer: -1589*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261220*g**4 + 19*g**3 - 8*g - 424229.\nAnswer: 3134640*g**2 + 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17815 is divided by 1978?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3799, 3801, 3803, 3805, 3807, 3809?\nAnswer: 3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 88. Suppose 0 = v*j + 6*j - 264. Let t = -7 + 18. What is the greatest common factor of t and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8540)\/(-36) + (-6)\/27. Suppose o - 5 = -2, 0 = 3*b + o - k. Suppose 0 = 10*f - 162 - b. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + -25 - (22 + 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 121.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)\/l*l\/((l*l**(3\/2))\/l))\/(((((l**3*l)\/l)\/l)\/l)\/l**(-2\/9))*((l**2*l)\/(l\/(l*l\/l**(-3\/4)*l)))\/((l*l**(-1))\/l**(-1\/9)) assuming l is positive.\nAnswer: l**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -9*c + 4*c. Suppose -c*p - 357 = -24*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 2*f**2 - 9*f + 9. Let j be i(4). Solve 6*k = j*z + 2*k - 20, z + k = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 + 5.14. What is the nearest to -1 in -1\/6, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45346.142 - -45304. Let t = 42 + s. Round t to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/160 + 117*u**5\/80 - 59*u**4\/16 + 382*u**2. Factor i(r).\nAnswer: 3*r*(r - 1)*(r + 118)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -46. Let r be ((-86)\/215)\/((2\/15)\/(-1)). What is the second smallest value in r, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {b: 17, e: 3}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*p = -45, 11*c - 6*c - 2*p = 106. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/((-12285)\/26))\/((-21)\/7).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -135?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2443536.\nAnswer: 2, 3, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 10*f**2 - 12*f + 11. Let q be c(11). Suppose k + 3*k + 188 = q. Let b = 0 - k. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/37 in 7\/9, 13, 1\/23, -2, -1, -2\/5?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/8))**(-18)\/(y**2)**(-13\/4))**(-1\/5) assuming y is positive.\nAnswer: y**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 19. Let l(f) = 2*f - 39. Let s(j) = -11*b(j) - 6*l(j). Let r be s(0). Does 5 divide (-8)\/2*r\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 20 = -5*w, 0 = 4*u - 2*u - 4*w + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -226 + 429. What are the prime factors of u?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*x + 50*x - 84*x - 94*x + 173*x.\nAnswer: -55*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10546*m + 80 - 161 + 81.\nAnswer: -10546*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3122*i**2 + 2*i**3 - 2997*i**2 + 39*i + 6119*i**2.\nAnswer: 2*i**3 + 39*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -630*k**3 + k + 5774. Let r(f) = f**2. What is h(r(y))?\nAnswer: -1890*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*o**3 + 4*o**5 - 3*o**5 + 4*o**3 + (-o**4 + 4*o**4 - 2*o**4)*(4 - 5*o - 4).\nAnswer: -4*o**5 + 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/(36\/612) - 3. Solve 3*k + 4*o + o = -4, x = 5*k - 2*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13092469 to the nearest integer?\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*x + 352806341 - 352807752 for x.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r = -2345 + 2299 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, m: 8, k: 2, e: 2}. What is prob of sequence xkxk?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4\/2 + 48*j**3 - 213*j**2 - 2736*j - 9747\/2 = 0. Calculate j.\nAnswer: -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 45867\/(-4137)) + -2. Let k = -11\/197 - x. Let o = -965\/2 + 467. Calculate the common denominator of k and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by (-332)\/6*9*(-7)\/42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((4 - 5) + -21)) + (8 - 5)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 8:56 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/7))**(7\/2)\/(((q*q*q*q\/q**(-29\/4)*q)\/q)\/(q**(-4\/11)\/q)) assuming q is positive.\nAnswer: q**(-357\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*r - 20 = 0, -5*x = -r - 2*r - 24. Let k = -4 + x. Suppose -2*p - a - a - 10 = 0, -5*a + k = -4*p. Is p equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 22 = 2*t, -2*t + 0 = -3*j - 1. Suppose -j*a + 486 = 3*a. Suppose -84*d + a*d + 72 = 0. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - 4*q**3)*(3 - 3 + 3 + 2 - 1 - 2 + (-4 + 3 + 0)*(1 - 5 + 3)).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1405516 and 126?\nAnswer: 12649644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1183 - 8326\/7. Let l = -19829\/3730 + 6\/373. Calculate the common denominator of l and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 2 (c) 1889 (d) 6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24168 divided by -152?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 86 = 18. Let n = 32 + o. What are the prime factors of (-147)\/(-5) + n\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s - 29*s + 372 = -s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11628 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m + 0*m)*(m**2 + 4 - 4) - 107*m**3 - 66*m**3 - 11*m**3 to j*m**2 + f*m + k + s*m**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 7. Let v be b(-5). Solve j = -j + v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98818?\nAnswer: 2, 49409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6877, -13740, -20603?\n\"Answer: -6863*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/83, -47, -5, -2 in decreasing order.\nAnswer: 2\/83, -2, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + t**2 + 2. Let a be w(-2). Let x be a\/(-5) - 21\/15. Is -52*12\/16*x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -150*b**2 - 1788*b + 139. Determine g(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a1 - -3?\nAnswer: -19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnfhfhhnnnnhhfn. What is prob of picking 1 f, 1 n, and 2 h?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101211 (base 3) in base 16?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -24*c + 54. What is s(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -19682*f**2 - 32*f - 2. Let j(x) = -x**2. Determine b(j(o)).\nAnswer: -19682*o**4 + 32*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 16*m + 5. Let r(f) = -15*f + 4. Let v(b) = -2*c(b) + 3*r(b). Determine v(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o*p**2*s + 10*o*p**2 + o*p*s - 2166*p**2 + 23*p*s + 19*s wrt s?\nAnswer: o*p**2 + o*p + 23*p + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 28 = 7*i - 19*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -267 + 265. What is the nearest to 1 in 0.5, -6, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v - 7. Suppose 7 + v = 2*i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/35, -11, -0.3, 3, 7 in increasing order.\nAnswer: -11, -0.3, 2\/35, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 9*u + 4*u)*(-3*u + 4*u - 2*u) + (u + 4 - 4)*(4*u - 6*u + 3*u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let g(k) = 75566*k**2 - 75575*k**2 - 2 + 2 + 8*k. Give g(t(j)).\nAnswer: -9*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + o**3 - o**4 - 4*o**4 - 282*o + 282*o + (72*o - 22*o + 39*o)*(-3*o + 3*o + o**3) to a*o + w + k*o**4 + y*o**2 + u*o**3 and give k.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 8. Give k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 143, 171, 215, 275, 351?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 8*j - 1. Let d be t(6). Suppose -3*h + 73 - 4 = 0. Calculate the greatest common factor of h and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 363 = -133*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (20 - 25 - (1 - -11)) + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*u**3 + 0*u**2 + 0 - 4\/7*u.\nAnswer: 4*u*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1493 and 3732500?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775605438?\nAnswer: 2, 887802719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -805, -1817, -3235, -5059, -7289, -9925?\nAnswer: -12967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Let n(l) = -1108 - 4*l**3 + 1110 + 5*l**3 - l. Let x be n(1). Let i(w) = w. Give x*m(b) + 5*i(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**3 + 5316*j**2 + 15984*j = 0.\nAnswer: -3, 0, 1332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 16*c**2 + 2*c + 5. Suppose 0 = -6*w - 0*w + 96. Let g be f(w). What is the first derivative of 913*m + 22*m**3 - g - 913*m wrt m?\nAnswer: 66*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627220 rounded to the nearest 10000?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Let g(t) = 0 + 3 + 2*t + y. List the prime factors of g(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/3142 and 75\/6406?\nAnswer: 10063826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -60, -1, 13, -4\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2281*(-1)\/((-7)\/(-91)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r - 70*r + 63 = -12*r. Solve 2*y + 4 = r*u, -2*u + 4 = -2*y - 3*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -56.5 - 1.24.\nAnswer: -57.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26960056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 6142215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.5, 3, 0.032, -2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = 3. Suppose 0 = c - s - 3. Calculate the highest common divisor of c and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14 + -5)*1\/3. Suppose 0 = 3*g - 9, 8 = -b - p*g + 7*g. Suppose 312 - 76 = b*l. What is the remainder when l is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 14 - (-1 - (-1 - 7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(85\/20 - 4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -297 - -303 - (-97 - 0) - (-25 + 9 - -7).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*r + 14. Suppose -4*p - r = -5*p. Suppose -l - p = -3*l. Solve l*i = -7 - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 14. Let l be x(0). Let f = 11 + l. Let u = f - 25. Solve u = 3*q + q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315392116.\nAnswer: 2, 13, 6065233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1112 + 0?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 17*w = 5*z, 0 = -4*z + 5*w. Solve 26*y - 34*y - 40 = z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-30))\/((-14)\/6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16355 or 16366?\nAnswer: 16355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 203054065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31648 and 39560.\nAnswer: 158240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4 - 6*k**3 - 28*k**2 + 6*k + 27 = 0. What is k?\nAnswer: -3, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -455690, -455645, -455580, -455489, -455366?\nAnswer: -455205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-7)\/(-1743)) + 8\/(-2). What is the highest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**3 - 11*c**2 - 10*c - 1. Let n(h) = 6*h**3 + 12*h**2 + 11*h + 2. Let b(f) = 7*k(f) + 6*n(f). Let q be 10\/(-8)*-2*(8 - 6). Give b(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 44, -3 in decreasing order.\nAnswer: 44, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2799 - 50*w + 2799 + (2*w + 3*w - 7*w)*(3 + 18 + 14) + (0 + 1 - 2)*(3 - 3 + w) as n + q*w and give q.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 4*y**2 - 3*y**2 + (-2*y + 4*y - 13*y)*(0 - 2*y + 0) to the form u*y + l + k*y**2 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/11725 - 3552679\/46900. Let w = 76 + m. Let 1\/8*p**2 + 3\/8*p**3 + 0 - w*p - 1\/8*p**5 - 1\/8*p**4 = 0. What is p?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/89 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34977 - -34976.6. Which is the second biggest value? (a) 6\/7 (b) -48 (c) 2 (d) q (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1795\/(-600) - ((-11)\/3 - (-9 - -6)) and (-14)\/7 - 22\/(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -3, -0.01, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 1)*(79*t + 95*t + t)*(14 + 4*t - 14).\nAnswer: 4200*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4480 + 4479.5. Sort 2\/15, n, -0.34 in descending order.\nAnswer: 2\/15, -0.34, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 f, and 1 q when four letters picked without replacement from eefqexqffeeeefeeff.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 1, -2\/15, 0.017 in decreasing order.\nAnswer: 3, 1, 0.017, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 7:47 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 15*b**3 + b + 2. Let r be y(-1). Let p(o) = -o**3 - 11*o**2 + 20*o - 13. Is p(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*j - 9, -9 = -5*j + 2*t - 0. Let v = j - -2. Suppose -5*h + 83 = -a, v*h + 11 = -5*a + 76. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**13)*(u**(-19)\/u)\/u*(u**(4\/7)*u)**18 assuming u is positive.\nAnswer: u**(142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5 + 100*x**4 - 8*x**3 - 200*x**2 + 4*x + 100 = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r**(-41)\/r*r*r*r\/((r**(-4\/25)*r)\/r) assuming r is positive.\nAnswer: r**(-896\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*i = -196*i + 28 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(3\/(-5)))\/(-64*(-225)\/69120)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -6 - 6. Let y be -1 - (-1 + -2 + -2). Suppose -2*c - 2*p + 93 = z*c, 0 = y*p + 4. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -261, -365?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 950*c - 9. Let k(h) = 477*h - 4. Calculate 5*k(f) - 2*l(f).\nAnswer: 485*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -941*d + 939*d + 336. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 276, -1, -2.1, 0?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9686 = -5*o + 6954, 5*o + 66710 = 4*l. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 9:17 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -52*x + 632. Give c(13).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -150.19 and 0.0112.\nAnswer: -1.682128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74\/3 - -25. Let x = -0.86 + -0.4. Let m = x + 0.26. Which is the second smallest value? (a) 3\/5 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38 - 0 - 2 - -1. Let f = 37 - y. Solve -3*s + f = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1028981*k + 20579627. Give s(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1334*v**2 + 160*v - 160*v - 4.\nAnswer: -1334*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -5\/6*s**3 + 0 - 4*s**2 - 1\/12*s**4 + 9*s. What is k(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330 by -14687.\nAnswer: 330\/14687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -956 divided by -39798?\nAnswer: 478\/19899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -31355 and -31356 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -19992, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -5. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 91*x + 871. Give w(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21311310 - -210221?\nAnswer: 22122131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*u = -2*m + 10, m - 12 = -5*u. Sort m, 5, 3 in increasing order.\nAnswer: m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*p = -82 + 22, -44 = -2*m - p. Suppose g - 3*g + 8 = 0. Calculate the common denominator of (-30)\/g - (-5)\/m and 47\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -958 - 342 = -37*f + 1068. Solve 35*l + 396 = -f*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 5 + 7)*((0*j**2 + 2*j**2 - j**2)*(-2 + 5 - 2) + 2*j**2 + j - j) to the form f + c*j**2 + v*j and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z + 2. Let a(q) = -6*q**3 + 22*q + 14. Give -3*a(h) + 21*o(h).\nAnswer: -3*h**3 - 45*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1283, 1284, 1299, 1334, 1395?\n\"Answer: w**3 + w**2 - 9*w + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312222725?\nAnswer: 5, 19, 657311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5700 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:55 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 112693377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 j, and 1 l when four letters picked without replacement from jjjajjjalj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 190. Suppose j = -54 + 8. Let u = j + v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -440 - 16?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 700292023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11897 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1795736 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + i - 586 = 0, -5*i - 60 = -2*u + 502. Let j = 18 + u. What is the remainder when j is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g + 1. Let i(u) be the first derivative of 13*u**2\/2 + 2*u + 171. Determine 7*c(l) - 3*i(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -997631821 by 5.\nAnswer: -997631821\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 216043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -15. Suppose -5*f + 3*h = -3*f + 4, 3*f + 3*h - 24 = p. Let d(a) = a**3 - 4*a + 3. What is the remainder when f is divided by d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (27621\/155 - 2\/10). Suppose -3*y = -h - 1448. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5491, -5512, -5561, -5656, -5815, -6056, -6397?\n\"Answer: -3*k**3 + 4*k**2 - 12*k - 5480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**4\/12 - 34*u**3\/3 - 290*u**2 - u - 1908. Factor p(y).\nAnswer: -(y + 10)*(y + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -5800\nAnswer: -1\/2900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1931 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/3 - -1)*(-9)\/6. Solve 0 - 1\/2*l**2 + b*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 703 and 418.\nAnswer: 15466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 3337*a + 66345. Determine k(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199649172.\nAnswer: 2, 3, 41, 43, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121413012 (base 5) to base 14.\nAnswer: -49b9a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18154\/(-1878) - (-340)\/6.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 273510*l - 1094038. Let j be m(4). Let t = -2.94 + -0.06. Let d = -0.03 + 3.03. Which is the nearest to 2\/17? (a) j (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*p + 116*p - 130*p**2 + 109*p.\nAnswer: -130*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**17*j\/(j**(-16)*j))**(2\/45) assuming j is positive.\nAnswer: j**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 13*v**7\/210 - 22*v**5\/15 - 541*v**3\/2 - 36*v**2 + 2. Differentiate l(q) with respect to q.\nAnswer: 52*q**3 - 176*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052 (base 6) in base 10?\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1133, 100, 109 in increasing order.\nAnswer: 100, 109, 1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36705 = 1963*p + 22185 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252590 is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 1\/12*l**4 - l - 1\/3*l**3 + 3*l**2 + 0. Let b be 2 - (1 + 4*-1). Let x(r) = r**2 - 2*r + 5. Calculate b*x(z) - 4*a(z).\nAnswer: z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -4*v**4\/3 + 10*v. Let q(s) = -2*s. Give q(j(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 221*n + 84. Let h(f) = 26*f - 1. Let y(d) = 18*h(d) - 2*v(d). Give y(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 c when four letters picked without replacement from {f: 3, h: 3, c: 13}?\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 3, q: 3, v: 2, w: 4, s: 2}. Give prob of picking 3 n and 1 w.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 48, -1 in descending order.\nAnswer: 48, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -19.\nAnswer: -19, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10d (base 16) to base 4.\nAnswer: 10031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + d**2 + 4 - 2*d**2 - 4 + (4*d - 4*d - d)*(1 - 1 + d))*(89 - 89 - 16*d).\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 28301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.3 + 13. Let d = w - -2.7. Let l = d - 1.399993. Round l to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 248*h + 7985. Calculate s(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -937, 8\/7, -2\/25, 5 in ascending order.\nAnswer: -937, -2\/25, 0.3, 8\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 471.07067 rounded to one decimal place?\nAnswer: 471.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -5. Let x = -6.12 + 0.12. Let a = c + x. What is the second biggest value in -3, a, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + 1)*(-3 + -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/26)\/((-3)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 286758 = -5*m, -160082 = -4*m + 4*n + 69310. What are the prime factors of m?\nAnswer: 2, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -735 - -114. Let l = 726 + r. What is the remainder when l is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 972\/36*34946\/9342\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3800*q**2 - 1286*q**2 - 1923*q**2 as c*q**2 + a + v*q and give c.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4061678000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 0, 9, 3, 630, -10 in ascending order.\nAnswer: -10, -4, -1, 0, 3, 9, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b*x**2 + 662*b*x + 1921*b + 1200764*x**2 - 2*x - 13 wrt b?\nAnswer: -6*x**2 + 662*x + 1921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q - 7. Let o(c) = -18*c - 8. Let b = -69 - -30. Let t(w) = -143*w - 65. Let i(n) = b*o(n) + 5*t(n). Determine 6*i(j) - 11*z(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**3 + 52*j**3 - 3*j - 9*j**3.\nAnswer: 54*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 0.3, 1, -0.1, -0.0212869?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.18 and 0.01?\nAnswer: -0.0518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 - -2143220?\nAnswer: 2143412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14052755 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -922 + 901. Suppose a + 28 = -a. Is (-8583)\/q + (-4)\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -581, -607, -641, -677, -709, -731, -737, -721?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2456*y**2 + 389*y**2 - 2851*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 + -286.1. Let o = z - -16. Let p = o - 0.8. Which is bigger: 2\/11 or p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 6*g**2 - 4*g + 13. Let j = 1584 - 1591. Give l(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111190*o + 2*o**2 + 111191*o - 222528*o - 7*o**2.\nAnswer: -5*o**2 - 147*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 5*g**2 - g**2)*(2 - 2*g + 3 - 2).\nAnswer: -4*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 12:52 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3554.82 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*0.13196.\nAnswer: 0.0369488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5973994.\nAnswer: 2, 13, 229769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3586 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 3*n + 5. Let m(s) = -s - 2. Let p = 23 - 30. Let r be m(p). Suppose 8 = -r*v + 7*v. Calculate o(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817 (base 9) to base 7.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 17670.37 millilitres?\nAnswer: 17.67037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 12 = -4*q, 32 = 3*q + 64*a - 59*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 11*h**3 + 29*h**3 - 10*h**3 - 3*h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {x: 5, i: 11}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -681?\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - z**3 - 2 + 46*z**3 - 10*z**3 + 3*z**3 + (-z + z - 2*z)*(2*z + z**2 - 2*z) + 0*z + 2*z**3 + 0*z to the form n*z + y + j*z**3 + v*z**2 and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83627616.\nAnswer: 2, 3, 797, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.98 + -0.28. Let i = o - 1.6938. Round i to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -0.312 (c) -2\/3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-385)\/(5005\/(-156)))\/((3\/(-2))\/1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/10)\/(13\/((-195)\/(-18)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b**2 - b. Let n(u) = 9*u**2. Calculate n(y(j)).\nAnswer: 3969*j**4 + 378*j**3 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 46437.104\nAnswer: -2786.22624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*n**5 + 11*n**4 - 1049*n?\nAnswer: 360*n**3 + 132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(343)*-1 + 5 + 2 - (-2 + (0 + -1*sqrt(343) - -6*-1*sqrt(343))).\nAnswer: 14 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -3, 0.1, 0.08?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 3. Let r(y) = 136*y**2 + 4*y - 137*y**2 - 3 + 0 - 3*y - 6*y. What is r(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62304 is divided by 15570.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4298 is divided by 478.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g - 6 = 0. Suppose -j = -p + g, -2*p - 2 + 3 = -3*j. Calculate the lowest common multiple of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*t + 1\/4*t**2 + 0.\nAnswer: t*(t - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.31 + -0.21. Let g be 2\/(((-7)\/(-2))\/(-7)). Let x = -9\/4 + 83\/36. What is the nearest to i in 5, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:55 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/4 - 1482*t**3 + 3294486*t**2 - 4623*t. Factor j(b).\nAnswer: 3*(b - 1482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3*o**2. Let b be k(2). Let t(w) = w**2 + 4*w - 2. Let x be t(4). What is the second derivative of 0 + p + 0 - x*p**b + 28*p**4 wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 8*w**2 + 38324*w - 19164 = 0.\nAnswer: -4791, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42926 + 43016 = -45*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*f**2 - 254 + 193 + 2*f**4 + 10*f**3 - 399*f + 60 wrt f.\nAnswer: 24*f**2 + 60*f + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-22))\/((-2)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 379*i**2*q**2 - 2*i**2 - 8*i*q**2 - 11*i + 1327*q + 84116 with respect to q.\nAnswer: 758*i**2*q - 16*i*q + 1327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*i = 2, 20 = 2*i + 16. Solve 0*x + 2 = x + 3*c, -j*x + 4 = -5*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -3\/11, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 356*w**4 + 1048*w**3 + 1072*w**2 + 400*w + 28. Let o(i) = 237*i**4 + 699*i**3 + 715*i**2 + 266*i + 18. Let d(b) = 5*a(b) - 8*o(b). Factor d(s).\nAnswer: -4*(s + 1)**3*(29*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w + 6. Let o(u) = 5*u + 5. Let l(c) = 5*o(c) - 6*t(c). Calculate the smallest common multiple of l(21) and 34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.17 rounded to the nearest integer?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3))\/(i\/((i*i*(i\/(i**(-1\/3)*i))\/i*i)\/i))*i**(-6)\/(i\/i**(-4))*(i\/(i*i**(2\/3)*i)*i**(-5))\/(i\/(i\/(i\/(i\/i**0)*i)))**(2\/7) assuming i is positive.\nAnswer: i**(-412\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 1020388*r.\nAnswer: -4*r*(r + 255097)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 641.3005733.\nAnswer: 644.3005733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 10*g**2 + 2*g - 1. Give t(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 74*u + 896. Let t be j(-12). Solve t = -23*g + 27*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + -3 - (2 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 7 = 4*g, 2263*g = -j + 2267*g - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11967666099.9889 + -11965098067. Let u = w + -2567783. Let a = -250 + u. What is a rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -22382959.\nAnswer: -22382959.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-2) + (-243)\/189)*-7. Suppose 2*x = 2*g - g + m, 5*g + 3*x = 16. Solve g*h + 5 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 + 44203.\nAnswer: 44202.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 2*k - 2 = 2*m, -5*k + 4*m + 9 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -16*n + 84. Let c be b(6). Let p be -10*(-1 - (-6)\/c). Is p smaller than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 16\/3643?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 5:35 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 191930.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -21185\/3 at most 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 5:48 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 4*d**2 - 2*d - 2. Let z be h(-3). Suppose -z*y = -16*y - 900000. What is y rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11130 and 560.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {c: 1, l: 8, p: 2, v: 2, g: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:26 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -205?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -0*a - 2*a + d + 8, 0 = 97*a + 5*d - 694 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48.2, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-9) - (-35)\/42. Let c be (-70)\/(-4)*(-4)\/220. Let h = 2\/11 - c. What is the closest to h in u, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/10 + (-243)\/(-5). Suppose -9*w - k = -14*w. Solve 0 = -3*m + 5*l - 22 - 3, -2*l = m - w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89b (base 14) to base 9.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**3 + 52055*s**2 - 156260*s - 520700 = 0.\nAnswer: -10414, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j + 38*j - 80*j + 66 = 0. What is the lowest common multiple of j and 1172?\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938856.\nAnswer: 2, 3, 39119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*a = -4, 4*z + 2*a - 312 = -162 - 158 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162091.\nAnswer: 162091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let c(l) = 91563530*l - 2. Determine c(h(n)).\nAnswer: 183127060*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(0 + 0 - 2*v) - 3 - v + 3 + (799*v + 3 - 3 - 522*v)*(-1 - 5 + 4) to the form n + d*v and give d.\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*o + 68*o - 4. Solve -3*c = o - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42120202414 + 4?\nAnswer: 42120202423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 - 4. Let z(d) = 103*d**2 + 1. Calculate z(q(k)).\nAnswer: 3708*k**4 - 4944*k**2 + 1649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471 divided by 2.\nAnswer: -471\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64.8 - 64.07. Sort i, 2, 0.3, 3 in ascending order.\nAnswer: 0.3, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623735?\nAnswer: 5, 409, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093321173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7188.2858 rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 1 + 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49038\/13 + 108\/(-702)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 375?\nAnswer: 6\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + o + 4. Let l be s(0). Suppose -d = -4*d - y + 14100003, -l*d = 5*y - 18800015. What is d rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwzzmxssxmnwzwssm. What is prob of picking 1 n, 1 x, and 1 w?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuiquqquiqsqi. What is prob of sequence qs?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Suppose -4*v - 359*n = -364*n + 14, -4*n + 13 = -5*v. Let x(j) = 3*j**2 - 7*j - 5*j**2 + j**2 + 3. What is v*x(r) + 5*b(r)?\nAnswer: r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 55, 66, 77, 88, 99?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669424?\nAnswer: 2, 7, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5 (c) 4 (d) -0.81 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose -j = -1 - 2. What is the second biggest value in -2\/13, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let n = 1 + s. Differentiate -2*z**n + 1 + 4*z**3 + 0*z**3 with respect to z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 10:51 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -369721584529.\nAnswer: 369721584528.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 139*w**3 - 2*w**2 + 4*w - 543. Let u(s) = 138*s**3 - 3*s**2 + 5*s - 542. Let x(j) = 5*g(j) - 4*u(j). What is the first derivative of x(p) wrt p?\nAnswer: 429*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 59 - 58. Is 0 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-440)\/55*1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 8*g**2 - 6*g - 7. Let h(l) = -l**2 + 19*l - 81. Let f be h(11). Let z be a(f). Let k(v) = -v**3 + v - 2. Calculate k(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 227, -13243, -26713, -40183?\n\"Answer: -13470*g + 13697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*f - 5*c, f + f = 5*c - 2. What is the smallest common multiple of 21 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 14 = -10*g. Is 7 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5957 - 0.3957. Which is the closest to -1\/4? (a) 1\/8 (b) -4 (c) -0.4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129802181 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: Solve 2*g + 6 = 3*q, 26*g + 5*q - 35 = 21*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 51*l + 0*l - 3*l + 5*l + (2*l + 4*l - 5*l)*(-1 - 2 + 1) - 2*l - l + 4*l + 4*l - 3*l + 0*l + l + 5 - 5)*(4*l - 5*l + 3*l).\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3473\/3 + -1157. Let v = 2 - 6. Which is the nearest to v? (a) n (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 5, y: 2, t: 8}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385213*s - 385211*s = l + 2*l - 12, 0 = 7*s - 21 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1387 * -0.004.\nAnswer: -5.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 285161 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -196000 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1016, 3561, 7640, 13247, 20376, 29021?\n\"Answer: -b**3 + 773*b**2 + 233*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from dfsblsbsfff.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + r + 11 = 0, -r = 4*l - l + 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 52*h + 3 + 0 + 8 - 7. Let i be u(-4). Let g be (-1)\/5 + (i\/70)\/(-6). Which is smaller: g or -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f - 14*f - 3*f - 2*f**3 - 5*f wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 8*q + 128076 = 0. List the prime factors of q.\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -741 - -858. What is the remainder when 245 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916298?\nAnswer: 2, 3, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 19*y**2 + 3*y + 6. Let v(k) = -k**3 + 2*k**2 + 1. Calculate -i(l) + 6*v(l).\nAnswer: -4*l**3 - 7*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3129.7 rounded to the nearest ten?\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 - 55236*x\/5 + 143715.\nAnswer: -3*(x - 13)*(x + 18425)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*c - 51*c - 126 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 496847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 8*f**2 + 21*f - 28. Let w(n) = 6*n**3 - 50*n**2 + 127*n - 166. Let t(d) = -4*w(d) + 23*z(d). Determine t(14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1010186 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*b = 3*h - 896, 4*h + 3*b - 1196 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21026467 = -3*q + 33056744. Suppose 0 = -r + 4*k - 8527725, 2*r - 4*k + 2656636 = -14398826. Let g = r + q. Round g to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17881783 (base 9) in base 7?\nAnswer: 136514340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 5*d + 28. Let l(m) = 6*m**2 + 10*m + 55. What is 6*l(z) - 11*p(z)?\nAnswer: 3*z**2 + 5*z + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -2\/11 (c) 4 (d) 0.09 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*j - 0*x + 4*x, 5*j + 17 = -x. Let y = j - -12. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:11 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2.7, 3\/4, 5, -4 in descending order.\nAnswer: 5, 3\/4, 0.2, -2.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 782*i + 784*i - 1 = 0, 5*t + 41 = 2*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101 - 120?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -2\/641, 4, -69, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17565?\nAnswer: 3, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23132*a**5 - 3*a**4 - 219*a**2 - 3*a + 3 wrt a?\nAnswer: -1387920*a**2 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or 1296?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -150*q. Let i(v) = -2*v. What is i(x(b))?\nAnswer: 300*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 8*f = -4*a - 8, -3*a - 6 = -4*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -45, -68, -93, -120, -149, -180?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c + -750?\nAnswer: -6e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -127.9 and 33031?\nAnswer: -4224664.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3*t**2 - 10*g**3 + 3*g*t**2 - 35*g wrt g.\nAnswer: 24*g*t**2 - 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 + 52. Let q = p + 383\/4. Are -4 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 10*b**2 - 36*b + 30. Let i be z(-13). Let c(t) = -t**2 - 9*t + 10. Calculate c(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 25 = 2*j, 2*j - 10 = -3*i + j. Suppose -i*o = -5*b - 30 - 15, 3*b = 3. Differentiate 14 - 9*q**4 - 2 + o*q**2 - 10*q**2 wrt q.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -30*m + 145. Let f be u(5). Which is the second biggest value? (a) f (b) -1 (c) -0.4 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/26 (b) -2 (c) 276 (d) -1 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -120, 26 in decreasing order.\nAnswer: 26, 3, 1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -22 - 80*b**3 - 5*b + 40*b**3 + 41*b**3 + 9*b**2. What is the remainder when v(-7) is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73301 (base 8) to base 12.\nAnswer: -15715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + q - 63 = -7*x, 0 = -2*x - 2*q + 24. Solve 4*j - x = -3*w - 0, 5*w - 15 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 600.3 (b) -0.218 (c) 0.2 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127530 and 25?\nAnswer: 637650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(1008)*1 + sqrt(1008) + -1 + 2)**2 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {c: 4, a: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 15 + 0*i + 23.\nAnswer: -i + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 43 - (0\/(-2) + 1). Let s be (0 - r)\/((-2)\/1). Solve s + 4 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 103, 87, 55, 1, -81, -197, -353?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 393433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -606 - -602. Let x = -50.61 + 51. Let b = -0.01 - x. Put b, s, 1, 4 in increasing order.\nAnswer: s, b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -718427, -1436855, -2155283, -2873711, -3592139, -4310567?\nAnswer: -5028995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncvv when four letters picked without replacement from {v: 4, g: 2, k: 2, n: 2, c: 1, a: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymc when three letters picked without replacement from {y: 6, c: 1, m: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 0*r + 4*r as x*r + l and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p + 15. Let v = p + -3. Calculate the greatest common factor of 10 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35871\/8 + 4484. What is the nearest to -0.7 in -3, -1, 0.5, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 q when four letters picked without replacement from qqqqqqqqyqqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63832362 and 4479464?\nAnswer: 255329448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 90*v - 49. Is l(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 108255 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 7, p: 1, v: 7}. Give prob of sequence ph.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53142742.\nAnswer: 2, 23, 31, 83, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362*c - 398.\nAnswer: -362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2 - 5*t - 4 + 3*t + 4*t. Let k be x(5). Solve 0 - k = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.85, 1\/8, -1516?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 357\/42*16\/(-1224)*-171?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**4\/10 + 164*j**3\/5 + 1503*j**2\/5 + 958*j. Factor p(t).\nAnswer: -6*(t - 167)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 5*r**2 - 2*r + 2. Let v be u(-2). Let l be (-2)\/3 + (-22)\/v. Let m be 1\/(-3) - 28\/(-21). Solve -k - l = m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g + 11. Give n(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 3*a - 13*a**2 + 18*a**2 - 2. Suppose -2 + 14 = -4*j. Determine l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 4, r: 5}. What is prob of sequence rrr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 6*b + 7. Determine g(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(342\/108)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 35 = -b, -5*b + 3 = 3*i - 2. Solve -2*h = -5*m + 3*h + i, 0 = -m + 2*h + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -11*t**2 + 87*t - 220. Let q(n) = -9*n**2 + 83*n - 220. Let p(v) = 2*i(v) - 3*q(v). Let p(u) = 0. Calculate u.\nAnswer: 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 7:12 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1821765, -1821766, -1821767, -1821768, -1821769?\n\"Answer: -i - 1821764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345663.6 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -87, 88?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 7, t: 4, h: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 9:51 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 121 = -446. What is the smallest common multiple of (-4)\/(-8)*(-8)\/(-12)*63 and h?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + a = -554 - 13899, 0 = -h + 2*a + 4806. Is h <= 4822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -1\/24*f**4 + 0*f**3 + 3\/2*f**2 + f + 0. Let v(y) be the first derivative of h(y). Calculate v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 10853*k**3 - 99 - 11373*k**3.\nAnswer: -520*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2345*d**2 + 3934*d + 1171*d**2 + 1173*d**2 in the form w*d + a*d**2 + t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 446 + 20?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*13 - 28\/(-7). Suppose 5 = -3*m + y. Solve 4*d - m = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 59920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*i - 107*i - 239 - 241*i - 50*i.\nAnswer: -660*i - 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -11. Let j = v - -31. Find the third derivative of -3*r**2 - 3*r**2 - r**j - 4*r**5 - 3*r**2 wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 876131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -32?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -125. Let k be (1\/27)\/(10\/6). Is k less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-96)\/42 - -2) + 1544\/14 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4011 - -5649. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 1574, -1\/6, -0.653?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 517967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 32 = 47. Solve -j - 3*m = 1, -4*j - 5*m - v = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406, 1619, 3640, 6469?\nAnswer: 10106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 10*s**2 - 138*s - 757. What is o(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5 - 25 = 5*y, 0 = 2*y - 3*w - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4769 divided by -10?\nAnswer: -4769\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 1, -7, -24415, -5 in decreasing order.\nAnswer: 5, 2, 1, -5, -7, -24415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 710952 at most as big as 710955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 524 - 270 = 5*x, 2*i = 3*x + 794. Suppose 641*z - 4549 = 213*z + 4439. What is the remainder when i is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 337, 506, 675, 844?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -114326 + 302?\nAnswer: -114024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79261376533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(6\/5)*z\/((z*z**(-2\/79))\/z))**(5\/3) assuming z is positive.\nAnswer: z**(326\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*v - 1485 = -1072*v + 2022*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let o(m) be the first derivative of -m**5\/30 - 2*m**2 - 1. Let k(r) be the second derivative of o(r). What is g(k(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 10063720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -o + 2 - 5, -2*b = 2*o + 6. Solve -n - 2*n - 15 = b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, m: 9}. Give prob of picking 1 c and 1 m.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p - 4*r = 1884, r - 5 = 0. Let n = -118 + -21. Let k = p + n. What is k rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127969 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/((g*g\/((g\/(g*(g*g\/(g*g**(-2\/3)\/g)*g)\/g*g*g))\/g))\/g))))\/g*g**28)**(-39) assuming g is positive.\nAnswer: g**(-832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1391*q - 8 = 1392*q + 4*g, 3*q + 6 = -3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01175787 rounded to five dps?\nAnswer: 0.01176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 6*z**2 - 5*z + 5. Let u be c(5). Suppose u*i - 94 = -4*x, 4*x + 2 = -2*i + 42. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (-150260)\/(-130) - (50\/13 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9 - 4\/6. Let n = 0.3 - 0.27. Let w = n - 4.03. Sort w, -3, z.\nAnswer: w, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1117182315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**2. Let z(s) = 5*s**2 - 6*s - 6. Let j(d) = d**2 - d - 1. Let p = -18 + 17. Let q(b) = p*z(b) + 6*j(b). Give k(q(y)).\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 5*t**2 + 2*t + 1. Suppose 3 = -j - 0. Let n be w(j). Let h = 15 - n. Calculate the greatest common divisor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(95) - sqrt(95))*-1 + (sqrt(95) - sqrt(95)*2*-5))\/(-4*(-2*sqrt(10)\/sqrt(2) - -6*2*sqrt(5))).\nAnswer: -9*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 - 119) + 40 - (0 - 21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.029 + -0.439. What is c rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*c = -28 + 24, 2*c - 14 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74772 and 44?\nAnswer: 822492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 14 = -2*h, 4*b + 4*h - 4 = -0*b. Solve g + 25 = b*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18676 is divided by 283.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/11))\/p**(2\/7))**(-1\/57)\/(p**(-4\/7)*p*p**(4\/3)\/p*((((p**(-1\/3)*p)\/p)\/p)\/p)\/p*p*(p\/(p\/p**(4\/7)))\/p) assuming p is positive.\nAnswer: p**(2903\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-8) + 29\/(-3248)*-182. Solve -15 = 3*o, 5*b - m*o = 101 - 66 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26436329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 419850606 a multiple of 6181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 725.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1257 or 122?\nAnswer: 1257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -24*c**2 + 5*c - 5. Let s = -4379 - -4380. What is z(s)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29001 or 112?\nAnswer: 29001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 5, b: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/(-5)*50\/10. Let n be 2\/(-69) - s\/42. Is 2 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 144*c**2 + 18*c - 18. Let o = 1135 - 1140. Let h(i) = -41*i**2 - 5*i + 5. What is o*g(x) - 18*h(x)?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzc. What is prob of picking 2 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59098 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**5\/20 + 239*a**4\/12 - 6832*a**3\/3 - 37210*a**2 + 841*a. Solve c(u) = 0 for u.\nAnswer: -5, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20633.313 + 20645. Let y = s - -76.784. Let x = y - 88.9. Round x to 2 dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65737\/12 + -5468. Let r = -1987 - -12125\/6. Let k = r - o. Calculate the common denominator of -47\/10 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*i + 2*i = -108, -4*s - 5*i = 476. Let h = -22 - s. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Suppose -3*u = -k - k - 253, -u - 5*k + 73 = 0. Suppose -n - y = -j*n + 37, -2*n = y - u. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 20 = 0, 3*u = 5*u - 3*q - 39. Let d be u*(3\/(-2))\/(-3). Solve 2*g + 8 = d*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.41 + 0.01. Let p = 4.658 + 0.342. What is the nearest to -1 in 0.4, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4578)\/(-30) + (-2)\/(-5). Let p = x - 106. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 663, 442, 221, 0?\n\"Answer: -221*p + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*s + 0*s = 0, -2*d + 12 = 3*s. Suppose -4*k + 26 = -2. What is the remainder when k is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h = -87*h - 220. Which is bigger: h or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u + 26*u - 17*u + 9*u**3 to the form x*u + w + z*u**3 + f*u**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 2. Let c be z(2). Suppose -l = g - 1, c = 5*g - 0*g + 3*l + 1. Let v be g\/4 + (-444)\/(-8). What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8 + 234\/27 + 3\/(-2) and 11\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 0, -y = 4*q - 0*q - 10. Suppose -x = y*f + 2*x - 98, 5*x = -5*f + 245. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 16*g**2 - 3*g**3 - 5*g**2 - 6*g**2 - 8*g**2 + 196 to the form u*g + p*g**3 + q*g**2 + m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/14*((-18165)\/315 + 81)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 10*b**5\/9 + 52*b**4\/9 + 70*b**3\/9 + 4*b**2\/3 = 0.\nAnswer: -3, -2, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q)\/(q*q\/((q*q\/((q\/((q\/q**5)\/q))\/q))\/q)))\/(q*q\/q**(-3)*q**(-2)) assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16650\/11 - 549478\/363. Find the common denominator of 31\/99 and i.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -5. Let r be 2093\/78 - (-2)\/12. Let g = r - q. Sort 1, g, -0.3 in decreasing order.\nAnswer: 1, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1\/6*48\/224?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o*o*o**3)*o)))\/(o*o**(6\/11)))\/(o*o**3)**(-2\/55) assuming o is positive.\nAnswer: o**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 43*y**4\/24 - 17*y**3\/6 + 491*y**2 - 2. Calculate u(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*n - 329*n - 327*n to the form j + v*n and give v.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 42 = -42. Suppose -68 = -3*u + 2*m - l, 4*u - 5*m - 65 = 0. What is the highest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9218.674 milligrams to kilograms.\nAnswer: 0.009218674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 20. Let m be z(-10). Let g be (-3)\/((15\/(-2))\/5). Factor 2\/5*f**3 - 2\/5*f + m*f**g + 0.\nAnswer: 2*f*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 46*b**2 + 164*b - 234. What is o(-42)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2223\/2964)\/(((-3)\/(-4))\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9135077 minutes?\nAnswer: 54.810462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5310 (base 10) to base 11\nAnswer: -3a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 5. Let o(d) = d**2 - 2*d - 4. Let s be o(3). Let m(z) = 1. Let n(c) = s*b(c) + 3*m(c). Let a be 1*(2 - -3)*1. Determine n(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.0053 + 0.0053. What is the biggest value in 2, k, 2\/11, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 950643692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -212 + 21*q**3 - 19*q**3 - 239 - 32*q + 403 + 19*q**2 - q**4 = 0.\nAnswer: -4, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/17335, 0.089, 0.4, 0.2.\nAnswer: -0.2, 2\/17335, 0.089, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 73 = 5*r - w, -2*r = 5*w + 41. Which is the closest to -112? (a) 7 (b) r (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -187*v + 10. Let b(c) = -524*c + 28. Let w(l) = -5*b(l) + 14*x(l). Let p(z) = -419*z. Determine w(p(s)).\nAnswer: -838*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3416 and 21931?\nAnswer: -74916296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -63. Let w be (3\/7)\/(u*(-4)\/196). Suppose 5*z - 999 = -p, 399 = -z + w*z + p. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 7*c + 6. Let v be o(4). Suppose -80 = -6*f + 2*f. Suppose 0 = -3*p + 7*p - f. Calculate the highest common factor of v and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and 4.2154.\nAnswer: 0.548002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*u - 40 = -302*u - 4. Factor 2\/13*i**u + 0 + 0*i.\nAnswer: 2*i**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 10. Suppose 19 = 4*i + f. What is the second derivative of -w + 2*w**i - 5*w**4 + w**4 wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*r**2 + 63*r**2 - 1914*r**5 + 1477*r**5 wrt r.\nAnswer: -26220*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/120 - u**5\/10 + 7*u**4\/12 + u**3\/6 + 36*u**2 - 3*u. Let k be s(5). Which is bigger: k or 189\/4?\nAnswer: 189\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/3 + 28*q\/3 + 29\/3 = 0.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n - 6. Suppose 158*u + 2 = -7*u + 2. Calculate l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15679647 - -2.\nAnswer: 15679649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 14*w - 11. Let d be h(-12). Let t(l) = -l + 17. Let v be t(d). Suppose 0*n - 5032 = -v*i + 4*n, 2*i + n - 2507 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 63482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 132\/263699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8114 - 130*i**2 - 4071 - 4043 - 165*i**2.\nAnswer: -295*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10681*d**2. Let v(g) = 3*g**2. What is n(v(s))?\nAnswer: -96129*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -70, -42, 6, 80?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 - (-93 - 0) - (-9 + 4). Calculate the greatest common divisor of p and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/4 + 12876*y + 165791376 = 0. What is y?\nAnswer: -25752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(8\/3)))\/(b*b\/(b**(2\/23)*b*b))*(b*b**(-3\/7))\/(b\/(b**9\/b)) assuming b is positive.\nAnswer: b**(2411\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**5 - 228*m**4 - 936*m**3 - 944*m**2 = 0.\nAnswer: -2, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*u = -u + 31, -5*u = -5*v + 35. What is the third smallest value in 0.6, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:57 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 444 - 321.5. Let m = -122 + v. Let x = -10\/9 + 61\/63. What is the closest to 0.2 in x, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19165 divided by -7?\nAnswer: -19165\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 672 and 5214.\nAnswer: 583968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1700762.\nAnswer: -1\/1700762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10948*z - 1173. Let x(p) = -9*p - 1. Let c(t) = b(t) - 1173*x(t). Let y(n) = -13*n. Determine c(y(h)).\nAnswer: 5083*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 5*r = 0. Suppose r = -2*o - 2 + 10. Solve o*f + 3*u - 5*u + 20 = 0, 0 = 4*f + 5*u + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f - 2*f + f + 316*f**3 - 499 - 45*f**3 wrt f.\nAnswer: 813*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 6*g + 7. Let v be f(7). Let j be (4\/2 - v) + 0. Suppose 0*a + j*a = 34. Calculate the remainder when 32 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1010\/(-25))\/((-2)\/(-10) + 0). Let s be x\/(-8) + (-1)\/4. Differentiate s*u**4 + 38 - 3*u**4 - 34 with respect to u.\nAnswer: 88*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 4. Let r be g(-6). What are the prime factors of (-1)\/(-4) + 760\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*a**2*b*g + 5*a**2*g**2 + 7*a*b**2*g**2 + a*b**2 + g wrt g.\nAnswer: 10*a**2 + 14*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 11:39 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/3)\/(z**(-2)*z))\/((z\/z**(-1))\/z)**(-47) assuming z is positive.\nAnswer: z**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2042913+-13647\nAnswer: -2056560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, h: 2}. Give prob of sequence lh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*k - 0*g + 9, 15 = -5*k + 3*g. Let q = k - -3. Suppose 5*d + v - 38 = q, 4*d - 23 = 4*v + 17. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72538\/65725 + 249\/239. Find the common denominator of w and -19\/88.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.14834267 to 1 dp.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 70.82735 centuries?\nAnswer: 7082.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 922 and 4727358.\nAnswer: 2179312038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 6*f - 3*f. Let k be (-9)\/(-4) + (-2)\/8. What are the prime factors of 19 - (f\/3 - k)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4416*y - c - 9 = 4417*y, 0 = -y + 8*c + 99 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883468726.\nAnswer: 2, 7, 19, 617, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -18*i**2. Let n(u) = -98*u. What is o(n(h))?\nAnswer: -172872*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3497\/4 + -3031\/4. Let h = 117 - g. Suppose -2*i + 3\/2 + h*i**2 = 0. Calculate i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -945267 = 5*g - 3035727. Suppose g = -5*m + 163092. Round m to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-77)*(-1614)\/58104.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (1 - 4) - -4) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628271919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1211 is divided by 151.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*v + 3*v - 1 = 0, -3*l + v + 1 = 0. Suppose l = -3*p - p. Solve -5*o - 4*r = -10*o + 10, p = 3*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2692677 divided by -1469?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 28 = -0*x - 5*b, b = x + 2. Solve x*k - 2 + 0 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 + -0.01. Let i = 5.9 + -0.9. What is the third smallest value in a, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-24) + (-46)\/8. Which is greater: -7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 582 - 514. Which is smaller: 135\/2 or c?\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 57\/266*12\/(-9) - (-166)\/(-7). Let c(u) = -7*u - 167. Calculate c(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 44, 52, 44, 14, -44, -136?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 6*h + 5. Let o be l(-5). Let i(s) = -s - 12. Calculate i(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**4 - 20*s**3 - 60*s**2 + 180*s + 340. Let z be (187 - 2)*(-7)\/(70\/4). Let l = z + 73. Let a(m) = m + 1. Let b(o) = l*i(o) + 20*a(o). Factor b(g).\nAnswer: -5*(g - 4)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -52, -118, -210, -328?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4539.8 - 4540. Suppose -2*c - 2 = 5*z, 0*z = 2*z. What is the third smallest value in b, c, -2, 2\/19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*d - 19, d - 22 = w - 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 2, n: 1, p: 1, l: 1, i: 1}. What is prob of sequence npf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 582*j - 525*j + 228. Let o = 0.3 + -0.2. Sort 4, j, o, -1 in increasing order.\nAnswer: j, -1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2 + 2 - 3*s + s. Let h(i) = 2*i**2. Calculate x(h(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/11744 + 149769\/129184. Calculate the common denominator of c and -17\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.9*-3645.99.\nAnswer: -39741.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22152551 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 1. Let u(o) = -2*o + 1. Let v be (7 + -3)\/4*84. Let c be (1\/(-3))\/(14\/v). Give c*u(n) + 5*z(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/22429?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q + 6. Give h(-9).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14218 + b?\nAnswer: 14226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -125.664820249 from -0.5.\nAnswer: 125.164820249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10760539297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, -515, -1861, -3793, -6335, -9511, -13345?\nAnswer: -17861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9356 + 0.0644. Is -788 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*3\/(-2) + 2. Is ((-70)\/u)\/(-5)*-62 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 2415.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3907134 is divided by 437?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.72 * -0.71.\nAnswer: -1.2212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14390 - 13858. Calculate the remainder when 1068 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 2:32 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2 + 1 + 0 - 6*c - 8*c. What is the units digit of t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/7810 and 101\/10934.\nAnswer: 54670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 10:44 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c + 659 - 115 = -1265 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/204 and -31\/386852?\nAnswer: 1160556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-9))\/((-2)\/12). Suppose 0 = -7*p + 6*p - 28. Let o = 37 + p. Solve o = k*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/6*12\/10. Let c(t) = -2*t - t**2 - t**2 - t**3 - 10*t**a - 1. Let x be c(-1). Calculate the highest common divisor of 4 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-476)\/(-1560) + (-60)\/1560?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:52 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18481555?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27210630 is divided by 433?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 1479?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - y = 4, -3*k + 0*y = 5*y + 20. Suppose 0 = -k*c - 3*c. Suppose 0 = -c*x - x + 7. Calculate the remainder when 13 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -7, -3, 227, -35\/6?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768) + -3)*4 - (-6*sqrt(768) + -4 - sqrt(768)))**2.\nAnswer: -2816*sqrt(3) + 92992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-6) - (-2)\/4. Suppose 3*p - 17 = 5*k, -2*k + k = y. Let u be (p + 3)*(0 - -1). Is u >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 10. Let q(s) = -12*s**2 + s. Determine q(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240 - 234. Do k and 25\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/145 and -23\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 497 - 497.52. Let u = -11849291 + 11849290.47999977. Let f = s - u. Round f to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/14)\/(-1*(-8)\/(-56)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4 - 40832*n**3 - 163294*n**2 + 40832*n + 163296 = 0.\nAnswer: -20412, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i. Let n be ((-6)\/4 - 0)*-4. Suppose -5*g = 5*b - 10, 4*g - n = b - 4*b. Let a(w) = w + 4*w - b*w. Give d(a(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (44\/(-32))\/(-1) - 4 and -109\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4098950395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 - 13*y. Let v(a) = -279*a**2 - 99*a**2 - 3*a + 377*a**2. Let j = 65 + -39. What is j*v(p) - 6*k(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -19.045 (b) 0 (c) 0.3 (d) 3 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44.91934 centuries?\nAnswer: 449.1934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33226429 and 1205?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 718*b**3 - 3*b**2 - 6*b + 1. Let u be l(-2). Let z = u - -9114. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3214 + 3?\nAnswer: -3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -196.1.\nAnswer: -784.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -31. List the prime factors of (m\/44)\/((2\/716)\/(-1)).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 17 + 83 + 96 = -3*p - 2*r, 2*r + 52 = -14*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*j + 86*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5 + 222*n**4 + 450*n**3 + 226*n**2 = 0.\nAnswer: -1, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4755)\/(-44380) - 145\/308?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = 0. Suppose -a = s - 3 - 2, i = 3*a + 2*s - 12. Suppose -x + a*l - 199 = -6*x, -l - 115 = -3*x. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4152 at least as big as -4152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9 = 0, 19344*z - 3 = 3*u + 19341*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in -14, -1, 1, -3, -2\/7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 312 + -215. Let m be 1*-3 + -15 + v. Let g = m + -39. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 71642\/1935 - (-12)\/54. Let i = o + -186\/5. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.991 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 2*i - 1. Let u be k(1). Let g be 2\/(-8) + 244\/16. Suppose -g = -x - 4*x. Solve u = -c - x - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {t: 2, h: 4, w: 3}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-6))\/((-30)\/(-108)). Let x = c + 0. Let p(d) = 2*d - 6. What is p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7061)\/207 - -10*84\/(-945)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19405 - 19394. Calculate the remainder when 41\/(-2)*(2 + -4) is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*c - 6*h + 11, c - 4*h + 10 = 0. Let k(z) = 2*z**3 - 2*z**2 + 3*z - 2. What is the smallest common multiple of 22 and k(c)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137540 >= -137494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f - 60 = 0. Calculate the highest common factor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**3 - 15*m**3 - 3*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306358 and 14.\nAnswer: 2144506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 6. Let j be i(4). Let v(h) = -h - 3. Let s be v(j). Let t(n) = -s*n - 3 + 3. Let l(f) = 2*f**2. Give t(l(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/6)*n)**(2\/5))**28 assuming n is positive.\nAnswer: n**(196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7400.573 milligrams in kilograms?\nAnswer: 0.007400573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - q**2 - 1. Let b(j) = 18*j**4 - 4*j**3 + 4*j**2 + 24. Let z(o) = b(o) + 4*v(o). What is the derivative of z(m) wrt m?\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 55*x - 29. Let n be 8\/(-4) + -3 + -4. Let q(k) = 13*k**2 - 219*k + 116. Let c(h) = n*l(h) - 2*q(h). Differentiate c(v) wrt v.\nAnswer: 2*v - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 112, 163, 210, 253, 292, 327?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -45*v - 81, -4*v + 5*l = -65 + 58 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**15*m))\/((((m\/(m*((m\/(m\/(m*(m\/m**(-1\/11))\/m)))\/m)\/m)*m)\/m)\/m)\/m*m))**(-1\/4))**(-1\/13) assuming m is positive.\nAnswer: m**(155\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21 - 9 = 0. Solve s*n + 10 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*j**2 + 45*j**2 + 9*j - 94*j**2 in the form v*j + g*j**2 + u and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/50*(-2 - -2))\/(-12 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43206 is divided by 1063.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((384\/(-588))\/(-8)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {z: 1, l: 3, j: 2, n: 6, d: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -920*c + 58532. What is f(62)?\nAnswer: 1492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, 0, 18, 44, 78, 120?\n\"Answer: 4*l**2 - 2*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134505909 to the power of 1\/2, to the nearest integer?\nAnswer: 11598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100010000011100?\nAnswer: -100010000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22575365*c**4 - 70690*c**2 - 13?\nAnswer: -541808760*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150.385 - 150. What is i rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1752 and 69\/6281504?\nAnswer: 18844512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5194 - -5199. Solve -l*p - 3*c = -3, 2*c - 4*c - 8 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*v**2 + 8856*v - 80688.\nAnswer: -3*(9*v - 164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 1:31 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74822705, 74822708, 74822713, 74822720?\nAnswer: 74822729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1258127, 5 in decreasing order.\nAnswer: 5, -5, -1258127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 66 = 8*m - 311 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7635112115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 297111.8 millimeters?\nAnswer: 297111800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 2. Let a(z) = -z + 2. Let r(n) = 5*a(n) + 4*u(n). Does 8 divide r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**7\/1260 - f**6\/180 - f**4\/4 - 3*f. Let z(d) be the third derivative of j(d). Give z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9679 - -3.281165. Let z = m - 0.313. What is z rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*t, 5*u - t - 8 - 4 = 0. Suppose -h = u*h - 15. Suppose 3*f - f + 12 = 2*p, -2*f - 12 = h*p. Is f equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 9349 (b) 2\/3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + 24*y. Let l(h) = -5*h + 10. Give l(n(d)).\nAnswer: 20*d**2 - 120*d + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-5))\/2*2\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -20*s**2 - 69*s + 47*s + 20*s. Let i(l) = -6*l. Give i(w(x)).\nAnswer: 120*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 210.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 4*d - 8*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s + 101. Let l be y(9). Suppose -4 = -2*w + 3*w, 5*h - 4*w - 600046 = 0. Let g be l + h\/(-3) - 0. Round g to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1413431012 (base 5) to base 15\nAnswer: -4c3007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 2780 - 5499 + 2727.\nAnswer: 3*j**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5*h + 10, -2*u - 115*h + 114*h = 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, g: 2}. What is prob of sequence oogg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/30 - m**4\/8 - 2*m**3\/3 + 90*m**2 - 3. Suppose -5*d + 11 = -19. Let k(h) = -3*h**2 + 5*h + 7. What is d*k(j) + 10*a(j)?\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23919344136 and 212?\nAnswer: 23919344348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2557? (a) -4 (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - f + 178 = 3*k, 4*k - 5*f - 154 = 0. Suppose -2*d + 3*h = -36, 5*d + 21 = -2*h + 111. Let n be 32\/d + 8\/k. Solve -14 - n = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1)*r)**(1\/2)*(r\/r**(-5)*r)\/(r\/r**(-1)))\/((r**1)**(-6\/19))**(-2\/49) assuming r is positive.\nAnswer: r**(10217\/1862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -10, 27, 0.5, -3, 1\/13?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 426792931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m*o**2*y**3 - 4*m*o**2*y**2 - m*y**2 - 5*o**2*y**3 - 2*o + 6*y**3 wrt o.\nAnswer: -2*m*y**3 - 8*m*y**2 - 10*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1746*3.3.\nAnswer: -5761.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20043041 + 2312?\nAnswer: 20100403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239896722?\nAnswer: 2, 3, 13, 433, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from {d: 1, b: 3, u: 6, y: 2, n: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*z - 18, -z + 25 = 5*r + z. Let t(p) = -p**3 + 3*p**2 + 2. Let u be t(r). Determine f so that -1\/5*f - 1\/5*f**u + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 20 = -3*d, 4*d + 6*s = 4*s + 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f - 5. Let y(m) = m**2 + 3*m + 4. Let b(d) = 5*t(d) + 6*y(d). What is the units digit of b(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 12*h + 85. Let o be g(10). Let v be (-5 - o)\/(9\/(-27)). Which is smaller: 31 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3561 - 3530. Solve d = -z, 5*d + 36 = -4*z + w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-16)\/(s\/s**(-4)) assuming s is positive.\nAnswer: s**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = -5*v + 2, 4*v + 6 = h. Factor -7*p**5 - p**4 - p**5 + 12*p**2 + 6*p**3 + 17*p**4 - 30*p**h.\nAnswer: -2*p**2*(p + 1)*(2*p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10204 = 2*l + 2*l + 2*m, -4*m + 7648 = 3*l. Suppose 8*s + 0*s = l. What is the remainder when s is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfnffnnnnnvfnn. What is prob of sequence vffn?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 7*r**2 - 5*r + 201. Suppose 4 = -4*l + 4*f, 2*l = -3*l - 2*f + 16. What is the remainder when c(l) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3 - 13. Let i = -2 + h. Let u = 6 + i. What is the least common multiple of u and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**4\/4 - 35*q**3\/6 - 2*q**2 - 19. Calculate the least common multiple of 7 and y(-8).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -31. Suppose 5*i - i = j. Suppose -p + 3 = -g, -5*g + 8 = p + 29. Sort -3, i, g.\nAnswer: g, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33423952 divided by 158?\nAnswer: 211544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.3086ms in microseconds?\nAnswer: 798308.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(84\/(-8)))\/(3\/((-90)\/(-8))).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 1912329?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(21\/6 - 10\/2). What is the closest to -49 in -0.4, -1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2541023372.\nAnswer: 2, 635255843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -10, -3\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/28*(-196)\/(-280)*115\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) -2 (c) 51 (d) -1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (23 - (-105 + 23 - -29)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.58 - 0.87. Let y = w - -0.09. Is -2\/3 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (6 - 1) + 10 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5 - 11*h**4 + 798*h**3 + 5810*h**2 + 9187*h + 4185 = 0.\nAnswer: -31, -5, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**(5\/11)*p\/(p*p\/(p**24*p))*p**(-2) assuming p is positive.\nAnswer: p**(240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-624)*30*-12)\/((-1)\/(-2))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**5 + 2*s**4 + 76*s**3 + 68*s**2 - 74*s - 70 = 0.\nAnswer: -5, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/3 and 1*2*(-7)\/252*327.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1022201220102 (base 3) to base 11\nAnswer: 440539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/9 + 13486*d\/9 + 4496\/3 = 0. What is d?\nAnswer: -1, 6744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*q - 6. Let x be (-2)\/(-8)*q*-6. Solve -x*c = 2*a - 4, 4*c - 6 = -2*a - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n**2 - 11*n + 2. Let d(m) = 5*m**2 + 6*m - 1. Give -11*d(v) - 6*z(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359700 divided by -100?\nAnswer: -3597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2698 - (-1 + 4)\/3. Let i = y + 6968. Suppose i = j + 2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6591553 * 2.\nAnswer: 13183106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 17*g - 8760. Suppose 10*s - 2250 = g. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10277, 10275, 10273?\n\"Answer: -2*n + 10279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o = 15. Suppose 23 + 19 = 14*h. Calculate the remainder when ((1232\/33)\/(-2))\/((-1)\/h) is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 26\/4 + (-45)\/30 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10010000111001?\nAnswer: -10010000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a - 62*a - 2*f = -86*a - 57 + 15, -5*a - 54 = -2*f for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:36 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.380624396 to two decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4973333833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2964 and 20?\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60480 - -4850?\nAnswer: -54530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**23*q)\/q)\/(q\/q**(2\/3)))**(-1\/4) assuming q is positive.\nAnswer: q**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 - 90 = 0. Let g = -1567 - d. Round g to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.255002657 + -2.255. What is t rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 6a3ba1?\nAnswer: 6a3ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-24)*-22 - (-15)\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/((a\/(a**3\/a))\/a))*a\/a**3*(a*a**0)**8 assuming a is positive.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5*(-2)\/(-30))\/(12\/(-9)). Let t = -14.07 - -14. Let d = -0.13 + t. What is the third biggest value in -8, d, f?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 68500*h + 2123499. What is p(-31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -322, -610, -906, -1210, -1522, -1842?\n\"Answer: -4*c**2 - 276*c - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**6\/36 + 47*z**5\/450 - 19*z**4\/180 - z**3\/15 + 317*z**2 - 3*z. Factor b(k).\nAnswer: -2*(k - 1)**2*(25*k + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24709673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2193 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 0*q - 2 - 4 + 4*q. Let i(v) = -17*v + 82. Let m(u) = 2*u. Let r(k) = i(k) + 5*m(k). Let g be r(11). Calculate c(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 14 = -4*b. Let d = 4 + 1. Suppose 5*v - 10 = d. What is the smallest common multiple of v and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0154 in -0.8, -1\/3, 2\/5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16ccd8 + -1?\nAnswer: 16ccd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdds when four letters picked without replacement from jxdsds.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5471*a + 21435. Calculate l(4).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/11 + -8\/33. Let g = -2 - -2. Sort g, j, 2 in ascending order.\nAnswer: g, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -16. Let v = b - -5. What is the second derivative of -3*y - 5*y**2 - y + 5*y + v*y wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 169 = 5*c + 683, 4*x = 3*c + 302. Let h be c\/8 + 3\/12. Let z be (-3)\/(-18) - h\/(-24). Which is smaller: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*m**3 + 1350\/7*m + 6750\/7 + 90\/7*m**2.\nAnswer: 2*(m + 15)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*g - 3963 = -33*g + 113*g + 14385 for g.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32427 - v + 37301 - 13*v + 16*v.\nAnswer: 2*v + 69728","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/3 + 14*p**4\/3 - 230*p**3\/3 + 298*p**2\/3 + 660*p - 1200 = 0. Calculate p.\nAnswer: -15, -3, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = -23*n - 134*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**3 + 93*s**2 + 15*s - 139. What is w(-23)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13912 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i + 40 = 0. Let v = -14 - i. Solve -v*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5101*b + 4906*b - 2190*b.\nAnswer: 7817*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 9*p**2 + 18*p + 6. Let z be d(-5). Which is bigger: z or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90948 and 1908?\nAnswer: 272844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1 - -6) + 2 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 6:02 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/7 + 2682\/(-630) + (-4)\/10.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-2*q + 0 - 2 - 3)*(0*q**3 + 3*q**3 - q**3) + (q**2 - 2*q**2 + 0*q**2)*(-q**2 - 2*q**2 - 3*q**2) + 2*q**4 + 0*q + 0*q.\nAnswer: 20*q**4 + 30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13549750 take away -46377383?\nAnswer: 59927133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 8. Let z be b(-8). Let u be ((-2)\/6)\/((-3)\/27). Suppose 5*v - 6 = -4*h + 6, -2*h = -u*v - 28. What is the greatest common divisor of h and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7122440*x + 16355330.\nAnswer: -7122440","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0596 + -0.5196. Let j = -0.034 + -0.296. Let b = j - p. Sort 0, b, 0.4 in decreasing order.\nAnswer: 0.4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 1573?\nAnswer: 12\/1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - 4*u**2 + 782*u - 2289. What is b(3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p**2 + 20. Let s be y(0). What is the remainder when 404\/s - (-2)\/(-10) is divided by (-11)\/((2\/(-2))\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = 2*l. Suppose -11 = -3*r - l. Suppose r - 47 = -4*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*w**4 + 0 + (-2*w + w + 0*w)*(0*w**2 + w**3 + 0*w**2) + 3*w - 4*w - 5*w**4 + 2*w in the form v*w**2 + h + m*w**3 + i*w**4 + a*w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 10*i + 14. Let a be s(-6). Solve 2 = -a*z + 2*w, 2*z + 2*w + w - 13 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-9))\/(t\/(t\/(t\/(t*t**(-1)))*t)*t*t))**20)**(-1\/3) assuming t is positive.\nAnswer: t**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g - 46. Let s = 63 + -71. List the prime factors of y(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/155 + 4153\/2790. Find the common denominator of i and 121\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61782 (base 10) to base 7.\nAnswer: -345060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -53 + 26*c + 179 - 5*c - 56. Let n(x) = 32*x + 105. Let o(g) = 8*l(g) - 5*n(g). What are the prime factors of o(11)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*j - 3 - 1, 3*g - 21 = 3*j. Suppose g*k - 11 = 45. What is the remainder when 25 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5465373?\nAnswer: 3, 1821791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 6, 10*x + 2*u = 6*x + 8*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4))**(-2\/27) assuming q is positive.\nAnswer: q**(8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 546678 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112240020 (base 6) to base 16.\nAnswer: -1fa40c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 2 + 51 - (64 - 73)?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254665 (base 10) to base 4.\nAnswer: -332023021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -487 times 0.09\nAnswer: -43.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955251 is divided by 2269.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34220852766371 and -6.\nAnswer: 34220852766365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/5)\/((-17)\/(-17))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*v - 16 = 0, 4*v - 2*v + 20 = 6*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*w + 19 - 26, -w + 2*c = 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -1 - 18. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 29*i**2 + 116*i + 119. Differentiate g(y) with respect to y.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/8 + -3 + 2 + -3. Let k = 9 + 11. Let c = k + -20.2. What is the biggest value in c, -1\/9, o?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/84 - -2*(-1)\/12.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from {i: 5, b: 1, u: 1, m: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**1*p)**14\/((p**(1\/6)*p)\/p**(-2\/7)) assuming p is positive.\nAnswer: p**(1115\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(3\/(15\/(-6) + 1)). Let c = -0.18 - -18.18. Let y = -15 + c. What is the closest to k in -0.2, -3\/5, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyssyy. Give prob of picking 1 y and 2 s.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16797, -16796, -16795, -16794, -16793, -16792?\n\"Answer: t - 16798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -93*l**3 + 138 + 3*l**2 + 30*l**4 - 138 + 18*l = 0.\nAnswer: -2\/5, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*c + 196*c - 9*c**3 - 409*c.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411, -472, -531, -588, -643?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 586 by -1.\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnw when three letters picked without replacement from inwbs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2560)\/25 + 10\/25 + -11. Sort 4, -11, j in ascending order.\nAnswer: j, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 > 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2462 * 205\nAnswer: 504710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030 = -f - 734. Is 45 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**2\/2 - 4*k + 89. Let m be (-39 + 1)*(-2)\/4. Suppose p + m = -3*q, 5*p = -0*q - 5*q - 45. Determine d(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -20535*j + 123173. Calculate v(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 divided by 6?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 2*b**2 + 2*b. Let d = 104 + 187. Let g = -289 + d. What is r(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 4, 16, 301, 5.\nAnswer: -8, 3, 4, 5, 16, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -4 (b) -12\/53 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x\/(x\/(x*x\/x**15)*x))))**(-5\/7)*(x**(1\/50)*x)**16 assuming x is positive.\nAnswer: x**(4481\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from laaxxaalaafxxaiff?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 42. Let s be p(-12). Let j(c) = -c**2 - 4*c - 3. Let z be j(-3). Suppose z = 2*w - 5*w + s. Calculate the smallest common multiple of w and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 377108964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 155879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + f - 3*f = -2, 4*h = 2*f + 48. What is the lowest common multiple of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 29*k = 24*k + 35, f + 2*k - 8 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7597.209 decades?\nAnswer: 911665.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*o - 4*o - 653, -2*o - 1079 = -5*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 11:56 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*40 + 8\/(-8). Let m = 41 - s. Calculate the remainder when 302\/8 + m\/8 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142803 and 32130.\nAnswer: 169935570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2 (c) -4 (d) 0.471\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpnpqlqnqqqqqa. What is prob of picking 1 q and 1 l?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 0*p + 7*p - 23*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffufffufffffffuf. Give prob of picking 2 f and 2 u.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -2*((4*sqrt(117) + sqrt(117) - sqrt(117)) + sqrt(117)) - sqrt(117))\/(4*4*sqrt(9)) - -5*(2 + sqrt(117)*-2 + 1).\nAnswer: -245*sqrt(13)\/8 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2150823 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1009, -1023, -1039, -1057, -1077, -1099, -1123?\n\"Answer: -u**2 - 11*u - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**3 - 5*c**2 + 5*c - 5. Let l(g) = -11*g**3 - 8*g**2 + 8*g - 8. Let f be 1*(5 + (-12)\/(-4)). What is f*z(p) - 5*l(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43794 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23\/133 + 2678\/665. Let y(z) be the first derivative of k*z**5 - 2 + 14*z**2 + 0*z + 0*z**4 + 0*z**3. What is the second derivative of y(p) wrt p?\nAnswer: 252*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75855012 and 115.\nAnswer: 379275060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/152863?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-17420)\/104520)\/(1\/((-228)\/2))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/11))\/d)\/(d**(15\/4)\/d)*((d**(-2\/7)\/d*d*d)\/d)**44)**(-22) assuming d is positive.\nAnswer: d**(4775\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38.24 and 0.4?\nAnswer: -15.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*n - 2730 = 0, -n + 834 = 3*x - 800. Is x >= 545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3.9, -0.1, 0.4 in decreasing order.\nAnswer: 1, 0.4, -0.1, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 12:37 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - -61 - (171 - 142)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141091*n - 161028*n + 752*n**2 - 751*n**2 - 190636*n.\nAnswer: n**2 - 492755*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24999 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -304*x**3 - 70*x**2 - 5*x + 10. Let s(u) = -456*u**3 - 106*u**2 - 8*u + 16. What is 8*q(d) - 5*s(d)?\nAnswer: -152*d**3 - 30*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1751, -1747, -1743, -1739, -1735?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-22))\/(11\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52\/(20\/5) + -2. Suppose 5*i = -a*i. Which is smaller: 2\/51 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d**2. Let n(y) = 16*y + 13*y + 12*y + 8*y - 44*y. Determine c(n(m)).\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -7. Let z = 0 + 0. Let m = -16560 - -16575. Solve r*b - 4*b + m = z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91 - -185) + 61 + -163.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-3)\/(-2))\/(129\/(-86)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.058178314 to 3 dps.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -20 - 4. Let b be (1\/3)\/(1\/i). Is 8 a factor of -3 - 11*b\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/378 - 7\/(1575\/(-115)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100766 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 0 - -30 - (44 - -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*(-1)\/(-18)*9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 m when four letters picked without replacement from {d: 4, z: 3, o: 2, m: 10}.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1*sqrt(300))*1 + 4.\nAnswer: 4 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 10 = 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 21 + 39 = 0. Suppose -b = b - j. Suppose b - 47 = -v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 274*y + 11454 = 4082 - 6200 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 16*i - 1. Does 27 divide o(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9867 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 12*r**2 + r + 4. Let j be f(12). Suppose o - 5*o = j. Sort -5, o, -1\/9.\nAnswer: -5, o, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 24. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**7\/98 - 2*j**6\/35 - 3*j**5\/28 - j**4\/14 - 70*j. Factor m(u).\nAnswer: -3*u**2*(u + 1)**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 19*x + 1. Let z(j) = -20*j**2 + 1. Let m be z(-1). Let b be a(m). Calculate the highest common divisor of 4 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 25*v + 54. What is the hundreds digit of x(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96660448 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4 and -71\/920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 60, -0.1, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:54 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 14*n - 68. Sort n, 2, 14, -5 in descending order.\nAnswer: 14, n, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51274 + -30736. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -32414341?\nAnswer: -32414341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and (-7 - 2)*(0 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*c - b + 10, 2*c = b. Suppose -3*m - c = 10. Let p = 9 + m. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 1, j: 1, o: 1, q: 2}. Give prob of sequence jo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3267) - sqrt(27) - sqrt(675)*-2)\/((sqrt(324)*-3 - sqrt(324))*5).\nAnswer: -31*sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwmwmw. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-10)\/v*v*v)*v*v**(-10))**(-44) assuming v is positive.\nAnswer: v**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.003 (b) 0 (c) -1 (d) 1\/5 (e) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 18*n - 21. Let a be u(16). Suppose 3*t = 4*l - 31, -10*l - 4*t = -a*l + 24. Solve 3*c + 15 = -i, l*c = -5*i + 6 - 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -3\/2*f**2 - 8 + 0*f. Suppose 3*l = 11*l + 16. Calculate a(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -119300 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = -9. Let y = -950 - -940. Which is the biggest value? (a) y (b) 4 (c) x (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 281835 and 15?\nAnswer: 281835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 6*v + 6. Let b(h) = -3*h**2 - 17*h - 19. Let u(j) = b(j) + 2*x(j). What is u(-7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 871.4 times -3\nAnswer: -2614.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = -5. Suppose -5*h - 39 = p - 3*p, -p - u*h = -12. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -5. Let i(y) = y**3 - 6*y**2 + 6*y - 5. Let j be i(5). Is j not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 796108376606?\nAnswer: 796108376605.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -1\/4 (c) -1\/6 (d) -0.57 (e) 2\/5 (f) 0.3 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234 - -5150235?\nAnswer: 5150513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -308669 - -20.2?\nAnswer: -308648.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109 and 84257.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -0.31, 44, -0.03?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9*(-155)\/15 - -3)*61. Let i = u - 3176. Round i to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c = -132. Suppose c = 2*m + m. Suppose -m*r = 158 - 1434. Does 39 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -70.9. Let j = r + 6. Which is greater: j or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9\/5))**(2\/75) assuming l is positive.\nAnswer: l**(-6\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*g = 0, -4 + 6 = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27741, 27751, 27773, 27813, 27877, 27971, 28101, 28273?\n\"Answer: v**3 + 3*v + 27737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 843, 1868, 3293, 5112?\nAnswer: 7319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 3 - 70 + 5*t**3 + 117.\nAnswer: 5*t**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -41. Let a(z) = z**3 + 9*z**2 - z - 6. Let g be a(h). Let k(r) = -8*r - 2. Let m be k(-2). Sort m, -3, g in increasing order.\nAnswer: -3, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102833336.7 rounded to the nearest ten thousand?\nAnswer: 102830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h - 44*h**2 + 24*h**3 + 7*h + 15*h**4 + 22*h - 19*h**4.\nAnswer: -4*h*(h - 3)*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 1:05 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*x - 15 = 2*a, -2 = 2*x. Let p be (3 + -6 - a)\/(-2)*-2. Solve 10 = 5*y - 3*o, 13 = -y - 2*o + p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 14. Solve 5*x**4 + 8*x - 3*x**4 - 6 - 3*x**3 - m*x**3 + 4*x**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + 38060?\nAnswer: 38087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**4 + 32*i**3 + 80*i**2 + 86*i + 40. Let u(q) = -15*q**4 - 159*q**3 - 399*q**2 - 429*q - 198. Let d(v) = -24*o(v) - 5*u(v). Factor d(h).\nAnswer: 3*(h + 1)**2*(h + 2)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -821 + 821. Let a = 209 + -1883\/9. Sort 2, a, h, 0.5 in descending order.\nAnswer: 2, 0.5, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 12*o**2 - 18. What is n(-12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3 - 6. Let a = 26 - o. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3783920*l**3*t - 66*l**3 + 3*l - 75 wrt t.\nAnswer: -3783920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 5*h + 4*h + (-1 + 4 - 1)*(0*h + 2*h - h) - 4*h + h + 4*h + 3*h - 2*h + h - 4*h + 3*h - h + 1 - 1 - h + 19*h + 22 - 22)*(8 - 8 - 4*h).\nAnswer: -88*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 13 + 2 + 5306 + -5315?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 10*a - 13 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.7, -2\/93, 33\/2, 5, -0.5, 4, -0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 5*r. Solve -n + 4*z - 5 = 0, -r*n + 17 + 2 = 5*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/53)*x\/(x*x*x*x*x**(5\/2)))\/(x**(-1))**50 assuming x is positive.\nAnswer: x**(4721\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 155 + 430 = 2*z, -5*z - 5*o = -725. What is the greatest common divisor of z and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - -3 - (-5 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507765067.\nAnswer: 601, 844867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 12) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -777, -3149, -7125, -12705?\n\"Answer: -802*k**2 + 34*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-5)\/(10\/(-4)). Let c be 2 - z - (1 + 1). Let u(s) = s**3 - 3*s + 3. List the prime factors of u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7238209 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15504 and 4143957.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 11. Let f(w) = -w + 7. Let y(i) = -i**2 - 8*i - 7. Let g be y(-5). Determine g*f(d) + 5*k(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194\/3 - -64. Let h be (-4)\/(-18) + (-612)\/(-162). Which is the nearest to r? (a) -3\/5 (b) -0.05 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 3*u**2 + 9*u - 1. Let f be a(-5). Let c(i) = 49 + 3*i - 49 + f*i. Let v(z) = 6*z**2. Give v(c(s)).\nAnswer: 294*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -406, -827, -1250, -1675, -2102, -2531, -2962?\n\"Answer: -w**2 - 418*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 + 3 - -3) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(0 - (-1)\/(-3)). Is s less than or equal to -8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40517.958342 - 40518. What is r rounded to 3 decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*u**6 - 2*u**2 + 41 wrt u.\nAnswer: -14760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + ((-666)\/(-99) - 12).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oro when three letters picked without replacement from {r: 2, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 10 = -15*c. Let n(r) = -2*r + r + 4 + 4*r. Give n(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27477, 27595, 27713?\n\"Answer: 118*t + 27359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7822116 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306179363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z\/(z**(-2\/7)\/z)*z*z)\/z)))**2*z**(-3\/4)*(z*z**0*z)\/z*(z*z*z**(1\/6)*(z\/(z\/z**(-3)*z))\/z)\/(z**(-1\/3))**(1\/2) assuming z is positive.\nAnswer: z**(349\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 6*c**2 + 4*c + 10. Let x be y(5). Solve p + 3*l = 16, -3*l = -p - 9 - x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -337 + -9\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11825 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-5))\/(-2*(-2)\/(-30)). Solve 5*n - m = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 13. Let q be z(-11). Find the third derivative of 2*v**2 - v**2 + 0*v**2 + v**4 + v**q wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35\/(-15) - -2)*6. What is the closest to -0.1 in o, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3 - 0) + 2)\/(148 + -143). Which is the second biggest value? (a) -1\/4 (b) -2\/47 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49801900 to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -201 + 228, 14*a = -2*f + 128 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/72907451?\nAnswer: 2\/72907451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*g = -18, 966*i - 4*g + 17 = 961*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*p - 107. Let g be 2\/(-2) - 36\/p. Let r = -6.8 - -7. Sort g, r, -4.\nAnswer: -4, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 185\/2? (a) 2\/9 (b) -3 (c) 5\/4 (d) 3\/7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -115 (b) 108.231 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -32. Let d = c - 23. What is the closest to 0.2 in 3, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/60 + k**5\/5 + 19*k**4\/24 + 7*k**3 - 5*k**2 - 672. Determine y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 415*j = -413*j - 113061, 2*k - 45202 = -4*j. What are the prime factors of k?\nAnswer: 5, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 - -0.558.\nAnswer: 41.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2983 is divided by 743?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 12*f + 17*f = 2, -g - 4 = -f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 49869\/63 + 18\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + q**3 - 5*q**2 + 4*q**2 + (-2*q + 0*q + 0*q)*(-q**2 + 4*q**2 - q**2) + (-2*q**2 - 1 + 1)*(-3*q + 10*q + 0*q).\nAnswer: -17*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/7)*c)**(-12))**(-5) assuming c is positive.\nAnswer: c**(720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 54651881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:24 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q*q*q**(-3))))\/(q*q*q**5*q))\/(((q\/q**3)\/q*q)\/q*q**(1\/4)))**(-12) assuming q is positive.\nAnswer: q**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/9)\/((-8)\/(-48))*825. Suppose -1886 + i = -4*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + (4 - 0 - (-24)\/30*5). Let b(w) be the second derivative of -1\/2*w**5 + 3*w**2 + j*w**3 + 35*w + 0*w**4 + 0. Differentiate b(d) with respect to d.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86.97199364 + 0.02852636. Let r = -87 + y. What is r rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-2 - -4) - 10) + (-86 - 288) + 273?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -2*x**3\/3 + 2*x - 291. Let b(c) = -1 + 1 + 2*c**2. What is d(b(l))?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 370*y**2 - 13726*y - 14098.\nAnswer: -2*(y - 133)*(y - 53)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 160\/(-28) - (0 + -2). Let c = v - -45\/14. Let n = -1 + -2. What is the third biggest value in c, n, -5\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 7557?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*b - 179*b = -2*c + 4, 2*b - c - 5 = 0. Let w(a) = -a**2 + 5*a + 5. Let q be w(10). Let p be (-10)\/(-4)*(-36)\/q. Solve b = -o - p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 8\/((-8)\/(-3)). Let s = -23 + 23. Let b(g) = 4*g**2 - 3 + 5*g**3 - 2*g - g**3 + s. Let q(c) = -c**3 - c**2 + 1. Determine r*q(f) - b(f).\nAnswer: -f**3 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 247301559 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + (-52)\/(-72)*-4)*6. Let 0 - m*o**2 - 1\/3*o - 1\/3*o**3 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 11*n - 34. Give k(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*w + 16, -c + 5*w - 7 = -12. Let l(h) = h**3 - 6*h**2 - 30*h - 72. Let p be l(c). Solve d + p = 33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(10\/3))**(-2\/79)\/(y\/(y*y**(-16)*y))**(22\/7) assuming y is positive.\nAnswer: y**(-78350\/1659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**6\/9 - 2*v**5\/5 - 7*v**4\/6 + 14*v**3\/9 + 6*v**2 + 16*v\/3 + 9. Let u(w) = 0. What is w?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w\/(w\/(w\/w**(-2\/21))*w*w)*w*w))\/w**(1\/4) assuming w is positive.\nAnswer: w**(-29\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - 0\/(-3))\/(-1). Suppose -4*p + 3*p = 3*u - 34, -s*u + 66 = 4*p. Is 25\/10*(u + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 23*c + 25*c + 9 = 0, -4*c = 5*g + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 13*q**2. What is u(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974800.\nAnswer: 2, 5, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52404\/29 at least 1806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 3, 55, -1 in increasing order.\nAnswer: -85, -1, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 22*o + 0 - 1 to the form q*o + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 - 17\/((-408)\/(-576)) - -32?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30996, -31305, -31612, -31917, -32220, -32521?\nAnswer: -32820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 659 - 654 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let o(l) = 7917*l. Give o(f(r)).\nAnswer: 15834*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/30 - g**2. Let x(q) = 92603*q**2 - 1 + 1 - 92598*q**2. Determine x(l(i)).\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p + 3. Let u(o) = -9*o + 4. Suppose 44*d - 112 = 108. Determine d*u(x) - 6*j(x).\nAnswer: 9*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668609979.\nAnswer: 3, 222869993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 683\/4 - 170. Let w = 2.5 + -2. Let p = 0.19 + 0.23. What is the third smallest value in w, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + x - 2, -y - 37 = 3*y - 5*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10.3 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/16)\/(26\/16 + -2). Suppose f*p + 12 + 1 = -l, 9 = -5*l + 4*p. What is the nearest to 0 in l, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -11\/262 (b) -4 (c) -0.3 (d) -7 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, t: 1, q: 1, y: 1, l: 2}. What is prob of sequence yh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 9*g - 15*g - 14)*(4 - 3 - 3 + (1 + 0 - 3)*(0 + 1 + 0) + 4 + 1 - 6 + 1 + 0 + 0) as o + f*g and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14230654?\nAnswer: 2, 7115327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*a - 7*a + 25, -2*x + 14 = 2*a. Solve z + 10 = -5*h, 3*h - 4*h + a = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237042 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 52. Suppose 0 = 4*p + 5*j - 19, -7*p + 3*p + 21 = 3*j. Suppose p*w = 3*w + 12. Sort w, 0, y, -0.06.\nAnswer: -0.06, 0, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 - (59 + -47).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-5))\/(3\/(-15)). Suppose -24 = -4*o - 4. Suppose -4*l + 37 = -o*f, -4*f - 17 = 3*l - 2*l. Is t equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v + 8 = 0. Let f be (-60)\/14 - v\/(-14). What is the remainder when 5 is divided by ((-6)\/f)\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -115, -254, -429, -628?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w. Let y(b) = -3*b**2 - 99945. Give a(y(r)).\nAnswer: 6*r**2 + 199890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68954, -137926, -206898, -275870?\nAnswer: -344842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 5817.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1649*r**3 + 578 + 1651*r**3 + 59 to the form z*r + v*r**2 + j + q*r**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1041\/44 - -93\/4. Calculate the common denominator of 1\/2*(-118)\/6 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 11*c**2 - 12*c + 2. Let g be b(-12). Determine p, given that -4*p - 8*p**3 - 21*p - 20*p**g + 5*p**4 - 7*p**3 - 25*p**2 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 + 15 + -12 + (-10 - -4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 5. Let k be q(5). Let n(i) = -84*i + 132. Let y be n(2). Let o be 50 - 31 - y\/(-4). Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**4 + 5*p**2 - 3*p - 3. Let k(x) = 5 - x**4 - 544*x + 549*x - 7*x**2 - 2*x**2. Let j(i) = -3*k(i) - 5*q(i). Factor j(o).\nAnswer: -2*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58477 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 6*d**2 - 5*d - 2. Let c be h(-5). Let s = 21.8 - 27.8. Put -5, c, s, 4 in ascending order.\nAnswer: s, -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75.345 - 26.934. Let m = 42.64 - r. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*g + 2, 0 = -5*x + 2*g - 58 - 7. Let y(b) = -4*b**2 + 4*b + 1. Let s be y(-3). Let a = s - -50. Put x, a, 0.2 in increasing order.\nAnswer: x, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1e0?\nAnswer: 1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -292.9 + -84.1. Let n = -387 - f. Which is the third biggest value? (a) -0.2 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - (7 + -7 - -91)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(252))**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 5, -0.0083?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2, -1\/602?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 16 = -3*y - 4, -3*y = 5*k + 4. Let o be 1\/y + (-26)\/4. Calculate the smallest common multiple of o + 6 - (1 - 4) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5726663?\nAnswer: 5726663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(49)\/(sqrt(14)\/sqrt(2)) + sqrt(7)) - (-5 + sqrt(7) + sqrt(14)\/sqrt(2))**2*-6)*-2.\nAnswer: -636 + 239*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4068 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12410674?\nAnswer: 2, 173, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 1199*u**6\/30 - 155*u**4\/4 + 380*u. Find the third derivative of j(w) wrt w.\nAnswer: 28776*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167130 by 90.\nAnswer: -1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.7 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1925\/2 + -952. What is the biggest value in r, 0, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -689 and -688 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let t(a) = -648076622*a. Give t(q(u)).\nAnswer: 648076622*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 + 13*a - 4. Let o(b) = -b**2 - b. Let g(u) = -i(u) - 4*o(u). Let m(v) be the first derivative of g(v). Does 5 divide m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:04 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2509 - 2508. Let u = 2.3 - 2.1. Which is the nearest to 2\/7? (a) n (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -136?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*o + 0*o = 21, -4*o = 3*j + 6. Suppose 336 = -9*q + j*q. List the prime factors of 33*(-4)\/q*4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107796*-25\nAnswer: -2694900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2612680 and -47\/774.\nAnswer: 23514120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + -4.03. Let n = 0 - l. Let t = 240\/7 - 34. What is the smallest value in t, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 1, 0 in increasing order.\nAnswer: 0, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6532 is divided by 473.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2919*i**3 + 2959*i**3 + 3152*i**3 - 11777*i**3 + 3249*i**3.\nAnswer: 502*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(2\/48)\/((-11)\/22). Sort -2, -6\/11, j in ascending order.\nAnswer: -2, -6\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1312.0784\nAnswer: 5248.3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 12*q**2 + 18*q - 117. Calculate r(16).\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7930.49 millennia in months?\nAnswer: 95165880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + m - 15796 = -0*m, -5*m + 23694 = 3*l. Let s be l*(-1)\/(-130) - 4. Let t = -284\/5 + s. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*o = -3*o + 3, 5*c - 14 = 4*o. Suppose 2*z - z = 3*b + 38, 3*z - 125 = -c*b. Solve -6 = z*f - 43*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -0.37, 5.44, 5, -2\/3 in ascending order.\nAnswer: -2\/3, -0.37, 1, 3, 5, 5.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21633 is divided by 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1575, 3172, 4779, 6402, 8047?\n\"Answer: h**3 - h**2 + 1593*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*q**3 + 905*q**2 - 6 - 424*q**2 - 455*q**2 as l + b*q**3 + g*q**2 + z*q and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 2. Let x(z) be the first derivative of z**2 - 3*z - 19. Let j(o) = 2*x(o) + 3*y(o). Let w(m) = 7*m**2 + 2. Calculate j(w(p)).\nAnswer: 7*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 10. Let v(n) = -3*n - 1. Is v(f) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -991*a + 4. Let x(t) = -t**2 + 7*t - 11. Suppose -2 + 16 = 2*r - 2*g, 5*r - 21 = -2*g. Let z be x(r). Is u(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1074 and 4074040.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 6364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 15776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -24709, 4, -5 in decreasing order.\nAnswer: 4, -5, -20, -24709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -32 + 12 + 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4\/(-8))*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53126*g**3*o**2 - 34*g**2*o**2 - 2078*g*o**2 - 114*g + 2*o**2 wrt g.\nAnswer: 318756*g*o**2 - 68*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 105. Let l = -5605\/11 + 1765\/231. Let z = -502 - l. Which is the second smallest value? (a) -0.5 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 527563 take away 86?\nAnswer: 527477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 201300223033 (base 4) in base 14?\nAnswer: 126539d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.3, -1\/4, -17.3, 1736\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 1, p: 1, g: 6}. What is prob of picking 1 g, 1 p, 1 y, and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 56552?\nAnswer: 282760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22195335 to the power of 1\/2, to the nearest integer?\nAnswer: 4711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -15) + 11 + (1 - 2) - 23?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 26 = 2*q. Let a = -8 - q. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4 - 1. Let t = -42 + 46. Factor -19*r**3 + 10*r**3 - 7*r**2 - 2*r**2 - w*r - 3*r**t.\nAnswer: -3*r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 6*g. Let x be n(-6). Suppose 5*j + 4*v - v - 55 = x, -4*j + 2*v + 44 = 0. Suppose u = 2*u - 9. Solve -4*i - j = u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 5:08 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(51)\/sqrt(3)*6*-3 - 3*sqrt(34)\/(sqrt(2) - sqrt(2)*3)*4)*5)**2.\nAnswer: 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 9*j + 7. Let q(i) be the first derivative of -i**3\/3 - 13*i**2\/2 - 10*i - 15. Give 7*g(o) + 5*q(o).\nAnswer: 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -7*m - 7, y + 8429*m - 4216*m = 4218*m + 1 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -3*j + 120, -2*m = -3*j + 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrwuwumw. Give prob of picking 1 r and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 231089 (base 11) in base 4?\nAnswer: 1121231131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 4*x + 4. Let t(k) = 3*k - 5. Calculate -2*p(g) - 3*t(g).\nAnswer: 2*g**2 - g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.108 + -77.892. Let c = j - -78.00000043. What is c rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -531\/4 - -481\/4. Calculate the common denominator of -1*(-12 - 9955\/(-814)) and i.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 2*h**3 - 3*h**2\/2 + 4. What is the remainder when m(2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 9:32 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 296, 1212, 2742, 4886, 7644, 11016, 15002?\n\"Answer: 307*t**2 - 5*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 12:41 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:54 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.64 + 0.3. Let g = s + -0.06. Let l = -20 + 19.7. Which is the second smallest value? (a) g (b) l (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033 is divided by 56.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0449 + 1\nAnswer: 0.9551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*k - 2538, 38*v = 42*v + 16. Let g(j) = -10*j**2 - 5*j + 4. Let f be g(4). Let t = f + k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - q = -3*i + 8, 11 = -2*q + 3*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.88 - -15.88. Let j = -28 + 40.5. Let d = 12 - j. What is the third smallest value in d, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2933360243.\nAnswer: 11, 71, 263, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111021 (base 3) to base 9.\nAnswer: -4437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 379 - 1117 = 0. Let t be v\/(-8) - 1\/1. Solve r - t = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -20, -23, -44, -89, -164, -275, -428?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -1, 31.\nAnswer: -1, 31, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*263.2\nAnswer: -263.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:59 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*v - 5 + 11*v - 3*v**4 + (-3*v**2 + 7*v**2 - 2*v**2)*(3*v**2 - 2*v**2 + v**2) + v**4 + 0*v**4 + 0*v**4 - 3*v**4 + v**2 - v**2.\nAnswer: -v**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(60)\/sqrt(6)*-4)\/sqrt(2))**2 - ((sqrt(180) - ((sqrt(180) - (-1*sqrt(180) + sqrt(180))) + sqrt(180) + sqrt(180)))\/sqrt(4))\/(1*sqrt(36)).\nAnswer: sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 201778 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 29*t**2 - 39*t + 12. Let s be z(13). List the prime factors of 21*(676\/s + 4).\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21887, 87580, 197069, 350354?\nAnswer: 547435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84475091583.361 + -1.\nAnswer: 84475091582.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 4. Let a(l) = l - 1. Let i be a(-3). Let c(s) = -2*s + 3. Calculate i*w(r) + 5*c(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -i + 2, -3*i - 8 = -r - 3*r. Suppose i = -7*m + 1432 - 207. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 0. Let p(x) = -4*x - 464*x**3 + 230*x**3 - 5*x**2 + 233*x**3 + 12. List the prime factors of p(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1922, 4 in decreasing order.\nAnswer: 4, 3, -1922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*i + 23, r - 5*r - 3*i = -2*r - i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 0.1. Which is the third biggest value? (a) p (b) 3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5967219781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1401.\nAnswer: -5\/1401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195351.\nAnswer: 3, 13, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + i. Let u be n(0). Let w(q) = -q**3 + q**2 - 7. Let s be w(u). Let x = 10 + s. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*x**3 - 55777*x**2 - 2*x - 2930737 wrt x?\nAnswer: 51*x**2 - 111554*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -159.511361 and 40.\nAnswer: -119.511361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -28*r - 29. Is h(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241.9 - 242. Let j = -23.7 + 21.7. Which is the second smallest value? (a) 2\/3 (b) 1 (c) j (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 66. Let o be 8\/n*(-15)\/10. Which is bigger: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 371*p + 77*p + 1431 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -14*n + 10584. Let w = n - -36452\/31. Which is greater: -1\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/(-6) + (-2)\/(-6). Let n(f) = -2*f**2 + 4. Let k(v) = 15*v**2 - 12*v**2 + 11 - 9*v**2. Calculate p*n(d) + 4*k(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*a**3 + 4655*a**2 - 4655*a**2)*(-2 + 2 - 3)*((4 + 4 - 5)*(-3 + 2 - 1) + 2 - 1 + 0).\nAnswer: -705*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 12*b**2 - 11*b + 23. What is the hundreds digit of k(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + a + a)*(384 + 1820 + 1016) as o + q*a and give q.\nAnswer: 3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzzzdzdj. What is prob of picking 3 d?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -18 - -117 - 37.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 448\/(35\/5) + -2. Suppose -z - 40 + k = 0. What is the least common multiple of 42 and z?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -3 (c) 2\/11 (d) 1\/18 (e) 3933\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82293053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 8. What is the remainder when j(-7) is divided by (-5)\/1 + 1 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1386 - 1062. Does 44 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*r**3*u**2 + 2*c**3*r**3*u - 2*c**3*u**3 + 19*c**3*u**2 - c**2*r**3*u**3 + c*r*u**3 wrt u?\nAnswer: -12*c**3 - 6*c**2*r**3 + 6*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*p + 9*p - 3*p + (-3 + 3 - 1)*(-1 + 1 - 2*p) + (2 + 2 - 6)*(4*p - p - 2*p) - p + 4*p + 0*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 6. Suppose 4*x = 12, 0 = -k*z + z + 5*x + 7699985. What is z rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 0.5, -18 in descending order.\nAnswer: 0.9, 0.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-9) + 132\/99. Determine l so that 1\/4*l**3 + 1\/2*l**2 + w + 1\/4*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -38331?\nAnswer: 28\/38331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -267 - -191. Let q = -28 - f. Calculate the greatest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91122595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 2*d)*(-233 + 118 - 106 - 137)*(5 + 1 - 2).\nAnswer: -1432*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/24 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 12*o**2 + 11*o - 8. Let k be l(-11). Let c = k - -7. Let f be c + 3 + 12\/(-10). Sort 3, -2\/13, f in descending order.\nAnswer: 3, f, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 46 = -7*f - 128 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6056 - -11?\nAnswer: 6067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 3. Let a be (35\/4 - 30\/40) + -3. Let g(w) = w + 1. What is a*g(l) + 2*h(l)?\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 12 = 0, 1551 = 3*k - 2*t - 1001. Are -5 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(324) - -3*sqrt(144))\/(sqrt(12)\/(sqrt(24)\/sqrt(64))*6).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5\/5 + 2*y**4\/5 - 14*y**3\/5 - 14*y**2\/5 + 2*y\/5 + 4\/5 = 0. What is y?\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2. Let t(n) be the first derivative of 4\/3*n**3 + 2 + 0*n + 0*n**2. Determine s(t(c)).\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**3 - 3*j**2 - 2*j - 2. Suppose g - 9 = 2*r, -g + 3*r + 7 + 1 = 0. What is the remainder when o(-2) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.5. Let g = -0.031 - -0.601. Let h = -0.43 - g. Is t at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*a - 12 - 10 - 32*a)*(-4*a - 2*a + 5*a) to the form h + o*a**2 + i*a and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 * -0.2192.\nAnswer: 18.8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*t**3 + 26*t - 26*t.\nAnswer: 96*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 121\/46 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let r = -919 + 3693\/4. Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 15. Put 0, 5, m in decreasing order.\nAnswer: 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*p**4 + 2*p**2 + 6*p + 10.\nAnswer: -540*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83115010 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282930 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**4\/4 + 7*u**3\/3 + 7*u**2\/2 + 7*u - 1. Let k be i(-6). Which is the closest to k? (a) 2 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 628 - i + 645 + 14*i**2.\nAnswer: 14*i**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-1) + 16793\/(-105). Let v = -148364\/915 - a. Let k = 2893\/122 + v. What is the common denominator of -26\/25 and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(170) + 1*sqrt(170)) + ((-1*sqrt(170) + sqrt(170))*2 - sqrt(170)))\/((sqrt(40) - sqrt(4840)*-2)\/sqrt(4)).\nAnswer: -13*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpnn when four letters picked without replacement from {t: 2, p: 2, n: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from udooodcoouodcooo.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b + 7. What is q(6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**7\/945 - i**6\/270 - 2*i**5\/135 + 2*i**4\/27 - 17*i**2. Factor d(w).\nAnswer: 2*w*(w - 2)**2*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*z + 57*z - 5*z**2)*(-32 - 10 - 10) + (3 + 3 + 0)*(-4*z - 2*z**2 + 4*z) as n + j*z + q*z**2 and give q.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpqcq. What is prob of sequence pq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + y)*((-2 + 0 + 4)*(1 - 1 - 1) + 7 + 3 + 0).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 + 2*g + 2. Let i be m(-2). Let v = 32 - i. What is the third derivative of 0*o**v - 2*o**3 - 36*o**2 - 24*o**3 wrt o?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/525?\nAnswer: 2\/525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 0*i + 4 - 2 - 3. Suppose -27 = -5*f + 3*r + 9, -2*r - 4 = 0. Let k = 1 - f. Let l(b) = -7*b + 4. Calculate k*n(p) - l(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 + 10*k**4 - 30*k**3 - 20*k**2 + 65*k - 30.\nAnswer: 5*(k - 1)**3*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/559, -3\/2, 0.19?\nAnswer: 6\/559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:25 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5 - 13. Let l be (-79)\/(-1) + o\/(-2). Let a = -40 + l. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 106548.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + -8. Sort -5, -4, 2, k.\nAnswer: k, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(1100) + 2)**2 - ((-6*(sqrt(1100) + 1 - sqrt(1100)))**2 - (0 + sqrt(1100) - sqrt(1100))**2*3).\nAnswer: 60*sqrt(11) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(8\/7)*x**(-2\/13) assuming x is positive.\nAnswer: x**(90\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91664*a**3*b*q**2 + a**3*b - 681*a*b**2*q**2 + a*b**2*q - 8719577*a*b**2 wrt q?\nAnswer: 183328*a**3*b - 1362*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2523*m + 155 - 155 + 33*m**2 - 2400*m to the form c + o*m + g*m**2 and give o.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 divided by -1?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -2, 0.02, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrq when three letters picked without replacement from {q: 5, r: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 12 = -0. Suppose l*m + 0*m = 48. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.711077 days to seconds.\nAnswer: 666237.0528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22) - (-1*sqrt(22) + sqrt(22)))\/sqrt(11) + sqrt(2) + (sqrt(2) + 4 + sqrt(2))*2)*-1)**2.\nAnswer: 96*sqrt(2) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**3 - 12*v**2 + 48*v - 8. What is p in k(p) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 4)*(0 + 1 - 3)*(-1 + 2*w + 1) in the form g*w + c and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 48*t**3 + 65*t**3 + 56*t**3 - 19*t**3 + 55*t**3 + 3*t**3.\nAnswer: 208*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*d + 12378, 664*d - 666*d - 4*b = -8232. Is 32 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 20 (b) 0.2 (c) 0.03 (d) 2 (e) 1\/4 (f) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from oyeyo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**7\/70 + t**4\/8 + t**2 - 2. Let x(r) be the second derivative of a(r). What is the second derivative of x(i) wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -i - 0*i - 8, 2*i + 22 = -2*l. Let q = -34 - -44. Let n be 10*(-4)\/16*42\/q. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 7) in base 5?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -232257 - -341?\nAnswer: -231716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*((-420)\/6)\/7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8477765 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-17)\/v*v)\/v**(-2\/29))\/(v\/(v**(-34)*v)*v*v\/(v**(-25)*v)*v))**(-1\/7) assuming v is positive.\nAnswer: v**(2231\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 7325945?\nAnswer: 58607560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(4 + 0*l**2 - 7 + 2*l**2).\nAnswer: -2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 665\/5*(-1)\/403. Let h = -15\/31 - o. Suppose -149*d = -122*d. Which is the closest to d? (a) 0 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/4067, -1\/6, -0.5?\nAnswer: 2\/4067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -14 + 12 - 35 + 2*z. Let s be y(19). Which is the nearest to -1? (a) -4 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 4*x - 36. Let i(r) = -8*r**2 + 52*r - 20. Let w be i(x). Solve -2*u = 2*n - w, -n + 0*u = -4*u - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000368020709 rounded to 6 decimal places?\nAnswer: 0.000368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/1*87\/12. Let h = 129 - w. Calculate the remainder when 141 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15119\/84 - -180. Let f = 1013\/420 - b. Solve f*n + 0 + 3\/5*n**2 = 0 for n.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*h*i**3 - 25421*h*i**2 + 2*h - 2*i**3 + 2*i**2 - 9882*i + 3 with respect to h.\nAnswer: 48*i**3 - 25421*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9) - (sqrt(45)*-4)\/sqrt(5)) - ((sqrt(68) + sqrt(17))*2 + sqrt(17) + (sqrt(153) - sqrt(153)*-2)\/sqrt(9))**2.\nAnswer: -1700 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, z: 2, o: 5}. Give prob of picking 1 j and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -2*w. Suppose 2*h = 756 + 354. Is h\/2*w\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32486.\nAnswer: 2, 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343772449?\nAnswer: 3, 199, 509, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 divided by -85.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3930959*j**2 - 270912 wrt j?\nAnswer: 7861918*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - k - 47, -3*f + 1139*k = 1123*k - 733 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2908\/3025319 - -101\/2519. Calculate the common denominator of d and 1\/3.\nAnswer: 3603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1321332010 + 1000?\nAnswer: 1321333010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, -313 in ascending order.\nAnswer: -313, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from zppzpnpww?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 0. Let c = 238 + -241. Suppose -2*l - 3*u = -0*l + 9, 5*l + u + 3 = 0. What is the nearest to c in -1\/6, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -5. Let y = f + 3. What is the biggest value in -2\/17, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -33 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9012.254 decades?\nAnswer: 1081470.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 5:11 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1393)\/(-6300) - 16\/36 and 83\/30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39002, 78397, 117792, 157187?\nAnswer: 196582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2477427284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22910740453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m + 3. Let g(p) = 5828149*p**2. Determine o(g(l)).\nAnswer: 40797043*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*u + 384, 641 = 5*i - 50*u + 53*u. What is the greatest common factor of i and 1586?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**2 + 1\/2*c**5 + 0*c + 3\/2*c**4 + 0 - 2*c**3.\nAnswer: c**3*(c - 1)*(c + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**3 - 2*b**3 + 15*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 - 870*v**4 - 20508*v**3 + 22254*v**2 + 20511*v - 21384 = 0. Calculate v.\nAnswer: -264, -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.375793541 less than -0.02?\nAnswer: 33.355793541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**4 - n**3*q**2 + 9*n**2*q + 31*n*q + 9*q**2 wrt n?\nAnswer: 72*n**2 - 6*n*q**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122296687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.797 + 0.033.\nAnswer: -1.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**2 - w + 0*w**2 + w. Let m(o) = o - 1. Let l(n) = 4*n - 6. Let k(v) = -l(v) + 6*m(v). Calculate k(i(f)).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/160 and 89\/192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-388)\/380)*1*5. Which is the third biggest value? (a) -2\/5 (b) v (c) 2\/9 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*i = 21*i + 172 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3200470 divided by -640094.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(sqrt(1008)*-1 - sqrt(1008)) + 3 - ((sqrt(1008) - (sqrt(1008) - (-1 + sqrt(1008))) - sqrt(1008)) + 1 - -4*-1*sqrt(1008)))**2.\nAnswer: 1344*sqrt(7) + 64561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -82*l - 10377. Calculate j(-140).\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 88 + 103 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(21 + 2655\/(-126))*(-1350)\/(-189)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 36 + (-2 - (-1 + -11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 18 - 0. Suppose 11*o + 19*o = 132 + 498. What is the highest common divisor of o and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 5 (c) -0.4 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 42. Is d(-20) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(-2*sqrt(3)))\/(-2*sqrt(200)))\/((sqrt(20) + sqrt(980)*-2)\/((-1*sqrt(36) - sqrt(36)) + sqrt(36) + sqrt(4))).\nAnswer: sqrt(3)\/260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*o - 4\/5*o**3 + 0 - 13\/5*o**2 = 0. Calculate o.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 6*j**2 - j - 2. Let b be g(-6). Suppose b*o + 8 = 40. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63401442.\nAnswer: 2, 3, 13, 19, 179, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r - 5*r - 4360701 = -2*r. Round r to the nearest 1000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -24. Suppose 2*l = -0*l + j + 157, 394 = i*l - j. What are the prime factors of l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-18 - (-8 - 1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/26 + (-1002427)\/65)\/((-2)\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1407929\nAnswer: 1\/1407929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55642787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 n, and 1 i when four letters picked without replacement from {e: 4, i: 1, n: 10, d: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -1\/2*m**3 + 0*m + 0*m**4 - 3*m**2 + 0 - 1\/150*m**5 + 1\/180*m**6. Let v(x) be the first derivative of b(x). Factor v(g).\nAnswer: 2*g*(5*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 2 - 4*n to the form r + z*n and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 6009435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = a + 5*f, -241*a + 3*f = -237*a - 812. What is the highest common divisor of a and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/6 + 18*u. Let q(c) = 4*c - 16. Give q(x(t)).\nAnswer: 8*t**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 5*w + 7. Let h be d(-4). Let g(t) be the second derivative of -1\/6*t**4 - t + 1\/2*t**2 + 0 - 1\/6*t**h. What is s in g(s) = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**7\/231 - 2*v**6\/55 + 9*v**5\/110 - 2*v**4\/33 - v - 21. Let m(i) = 0. What is i?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -389 - -442. What is the second derivative of -16*n + 5*n**2 + 16 - 15*n + 34*n - n**5 + 2*n**5 - j wrt n?\nAnswer: 20*n**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15904*h**2*j**3 + h**2*j**2 + 2*h*j**3 + 108*h*j**2 - 4*j**3 wrt h.\nAnswer: -31808*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 3. Suppose -133 = -52*j + 75. Calculate the remainder when j is divided by k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3841 - -3895. Let a = -9913641427.99999977 - -9913641374. Let t = y + a. Round t to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 3. Determine q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9754\/15 - 15284593\/23505. Let z = n + 183389\/15670. Find the common denominator of ((-44)\/(-13))\/(-2) - 1 and z.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h - 9843 + 10442 = -15529. What is the highest common divisor of h and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-7))\/((-735)\/70)*69?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 153*p - 579. Let g be s(4). Let z(i) = 264*i**3 - 33*i**2 + 33*i - 33. Let a(j) = 33*j**3 - 4*j**2 + 4*j - 4. Calculate g*a(c) - 4*z(c).\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + c**2 - 17*c + 7. Let x = 813 + -818. Give q(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582562 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007602987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 628*i**2\/5 - 1898*i\/5 - 1268\/5.\nAnswer: 2*(i - 317)*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 154864 - 198721 - 237282. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + 35. Let p = 7568 + -7508. Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:40 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 5. Let h(m) = -m**3 + 9*m**2 + 9*m + 4. Let q be h(10). Let y be 1\/q + (-148)\/(-24). What is the units digit of d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -30 (b) -22 (c) 11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101489383 by -6.\nAnswer: -101489383\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1118 divided by 573\nAnswer: -1118\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6845*w**5 - 8325*w**4 + 1560*w**3 - 80*w**2.\nAnswer: 5*w**2*(w - 1)*(37*w - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 37 (b) 0.5 (c) -445\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20569*a**2*i + a**2 + 5*a - 13723 wrt i.\nAnswer: 20569*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -265423549\/6 = -44237258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -485669.\nAnswer: -485669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -28. Let b(j) = -3*j + 3 - 4 + 6. Is b(p) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162494 is divided by 6495?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 670, 1340, 1990, 2608, 3182, 3700, 4150, 4520?\nAnswer: 4798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100494 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 bigger than -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 19 - 20 - 386*d.\nAnswer: -386*d + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/451 (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 406*v**2 - 42*v - 17036. What is f(-406)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-2))\/(2\/(-4)*-1))\/((-32728)\/(-1309120))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)\/(a\/a**0))\/(a*a**(2\/9)*a)**18 assuming a is positive.\nAnswer: a**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + (-4 + -2*sqrt(171))**2 + 4.\nAnswer: 51*sqrt(19) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 7604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4315 in -28, -2, -0.1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 233*u**3\/3 + 10977. Let q(r) = 66*r**2. Calculate q(k(x)).\nAnswer: 3583074*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:46 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**2 - 12*w - 17. Let l(n) = 4*n**2 + 4*n + 6. What is -11*l(f) - 4*t(f)?\nAnswer: 4*f**2 + 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-6 - (4 + -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4781829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.77 + 1.7051. Round s to 3 dps.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 2*s + 4*n - 13, 2*s + n - 70 = 0. Suppose -2*c - 28 + s = 0. Suppose 9 + 0 = c*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 v(q) = -83*q + 503. What is v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 11:04 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34506 or -34533?\nAnswer: -34506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2140 by -535.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -380 - -397. Solve -3*d = d + 3*f + s, 2*d + 7 = -3*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 931568 and 1876.\nAnswer: 6520976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/28186368 and -75\/1174432.\nAnswer: 28186368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, h: 1, q: 8, s: 1}. Give prob of sequence qhqo.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -2.42723?\nAnswer: 2.22723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 3) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 314058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525662909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 348034.52 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 7*d = 17, -8451*b - d = -8446*b - 2*d + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from gcgcggccggg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, y: 1, q: 10}. Give prob of sequence hyqh.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - 10 - (-5 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in -0.1, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27930, 55859, 83788, 111717, 139646?\nAnswer: 167575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 927108*r**2 + 1854228*r.\nAnswer: -3*r*(r - 309038)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 118612 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 64\/80*5\/4*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 8. Let b(x) = x**2 - 3*x - 5. Let i be b(5). What is w(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -2 - 46. Let b be (0 - -1)\/(10\/(-680)). Let g be (-119)\/b*12\/1. Put -4, c, g in decreasing order.\nAnswer: g, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.068118 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42\/1*(-16359)\/(-798)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 10 = -16*v + 18*v, 4*v - 34 = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + -105.4364?\nAnswer: -105.3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.031 * 1388\nAnswer: 43.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/3 - 2\/11. Let u(y) = y**3 + 2*y**2 - 12*y + 4. Let c be u(2). Sort -3, q, c in ascending order.\nAnswer: c, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 4\/3*a**3 + 1 - a**2 + a. Let l = 2 + -1. Calculate x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 764263 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 13 = -2*z, -7 - 1 = 2*z - 2*d. Let q(i) = -23*i. What is the tens digit of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 103.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006024 rounded to six decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/28 - (-11)\/4. Suppose -5*d = 5*g + 33 - 3, n*d + 9 = 0. Let q(p) = p**2 + 6*p + 6. Let m be q(-4). Sort -1, m, g in descending order.\nAnswer: -1, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131216 (base 10) to base 8\nAnswer: -400220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**2 + 2*j + 7*j**2 + 5*j - 5. What is the remainder when 19 is divided by r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 266, 285, 340, 449, 630, 901, 1280?\n\"Answer: 3*q**3 - 2*q + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48935822161 + -0.4.\nAnswer: -48935822161.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*z**2 - 29*z**2 - 4723*z**3 + 2 - 26*z**2 + 99*z**2 as q + i*z**3 + v*z**2 + k*z and give i.\nAnswer: -4723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 47*c + 1544. Give l(-48).\nAnswer: -3016","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -3 - -11) + (30 - 36) + 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 93?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196153 and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 18 + -35 + 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxxxxxxxxxxxxxuu. What is prob of picking 3 u and 1 x?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + -4744320?\nAnswer: -4744320.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107055 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 23 = -p, 2*p + 2*u - 8 = 6. Let x(s) be the first derivative of 3\/2*s**2 + s - p. Let j(o) = 7*o + 2. Determine 4*j(w) - 9*x(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*q + 10*q + 156. Let w(c) = 102*c. Let p be w(2). Suppose p = -0*i + 2*i. What is the remainder when i is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -900, -1792, -2686, -3582, -4480, -5380, -6282?\nAnswer: -7186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-2*x + 3*x - 5 + 1)*(-3*x**4 - x**4 + x**4).\nAnswer: 9*x**5 - 36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 7*n**2\/2 + 42*n + 8. Let u be g(-7). Is 21\/u + (362 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -29. Let j(v) = -r + 48*v - 6 + 15*v. Is j(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, a: 1}. What is prob of picking 1 a and 1 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z - 1. Let b be a(1). Let u be 0 + b + (-3)\/(-1). Differentiate -1 + l**4 - u*l**4 + 2*l**4 with respect to l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 469 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 18*s. Let z be u(-14). Let m = z - 55. Suppose -5*q = -q. Sort -4, m, q in decreasing order.\nAnswer: m, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620105.9g to milligrams.\nAnswer: 620105900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120 + 153132505.\nAnswer: 153132385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, o: 2, u: 4}. What is prob of picking 2 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281293.\nAnswer: 13, 98561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 1, v: 5, i: 4, n: 3, x: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/10 and 53\/1194585.\nAnswer: 2389170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114965?\nAnswer: 5, 22993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660 - 5*a + 641 - 1961 + 676.\nAnswer: -5*a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46.9999619 - -47. Round w to 6 decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*j, -3*o + 12 = 3*j + 28 + 17 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3705 + -29591\/8. Let x = 2937 + -58709\/20. Calculate the common denominator of m and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(-2*a + 4*a + 0*a + (2*a + 0*a + 0*a)*(-2 + 0 + 6) + 2 + a - 2)*(6*a**3 - 65*a + 65*a) as y + p*a**3 + w*a**4 + b*a + v*a**2 and give w.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**3*x**3 - 20943*p**3*x - 77094*p**2*x**2 + p*x**3 wrt p?\nAnswer: 6*x**3 - 125658*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 24 = 42*w. Solve 2*k + 62*n - w = 58*n, -5*n = -4*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - i + 17, 0 = -0*z + z + i + 1. Suppose -9 = 3*p + 18. Is ((-138)\/p)\/(-1)*z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 203*c**2 - 2*c - 26. What is the ten thousands digit of s(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58 - (12\/3 - 9). Calculate the greatest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -549 - -72?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {u: 10, v: 9}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 < -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7526 divided by 71?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - k - 1. Let s = 542 + -542. Suppose s = -4*h + 5*w - 9, w - 5 + 1 = 3*h. Let i(d) = -d**3 + d. Determine h*i(g) - m(g).\nAnswer: g**3 - g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 - 454?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 1150368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 8 + -11 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.858 - 1.058. Which is the closest to 1? (a) y (b) 26 (c) 2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18941 is divided by 545.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3072)*3 + -5)**2.\nAnswer: -768*sqrt(3) + 27664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1622*s - 1023*s - 869*s.\nAnswer: -270*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 68. Factor 2\/5*p**3 + p**4 - 7\/5*p**5 + 0*p + y + 0*p**2.\nAnswer: -p**3*(p - 1)*(7*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/27 + (-42)\/(-9). Suppose -5*d - 2*c + 2 = 0, -h*c = -0*d + 3*d + 14. Let -1 - 5\/2*a**d - 7\/2*a = 0. Calculate a.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1619 + 0.0081. Which is the closest to 1\/2? (a) 1 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2\/5 + 1354*o\/5 + 1356\/5 = 0.\nAnswer: -1, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 take away 154756450951?\nAnswer: -154756450208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2133\/(-840) - 8\/12. Let k = 1\/168 + n. Which is smaller: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30080, 60156, 90232?\nAnswer: 120308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.0177 (b) 0 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 35789080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -60465, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 11*f + 20. Let k be b(12). Let u be -4*2*-2 - -1. Suppose -5*j + u = -3. Solve -j*l = 3*v - k, -6 = -l - 2*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469646201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 149049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/62793780 and 23\/94190670.\nAnswer: 188381340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 6. Let h(z) = -2*z**3 - 13. Let j(a) = -2*h(a) + 5*q(a). Let p(w) be the first derivative of j(w). Let b(n) = -n. Give b(p(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5440*a**2 - 9464 wrt a?\nAnswer: 10880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2236104*y + 192 - 192.\nAnswer: 2236104*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - -1 - (-190)\/140 and 115\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/4)\/((-1)\/(-4)). Suppose 0 = -2*z + 4. Let p be (v\/9)\/(z\/6). Which is smaller: p or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04921800752 to three decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -27 + -11 + 17 + (2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d**2 - d**2 + 0*d**2)*(-14 - 6 + 9).\nAnswer: -99*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 31 = -5*q, 15 = 3*q - 0. Let z = r - -38. What is the lowest common multiple of z and 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 114*t + 37*t + 8*t - 40*t.\nAnswer: 2*t**3 + 119*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-30)\/15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v = 5*n - 749, -3*v + 303 = 2*n. Suppose -4*x = -4*z + x + 291, -2*x + n = 2*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeaeeeenegecnt. Give prob of picking 1 g, 1 n, 1 c, and 1 e.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 8 = -2*d + 4, -d + 5*m - 14 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 411519534 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*(-9)\/(-15))\/(1\/(-5)). Suppose -i*t + y + 4*y = -94, 79 = 3*t - 2*y. Solve 5*c - t = -2*z, 2*z + 4*c = -3*z + 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -7*o + 9*o. Suppose 1204 = o*l - 9*l. Is l a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-3\/19)*(g*g*g*g**(-2\/3)*g)**39 assuming g is positive.\nAnswer: g**(2464\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 4:16 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = -11. Let a(j) = j**3 - 23*j**2 + 75*j + 19. Let f be a(19). Differentiate f - 81*w**s + 78*w**3 - 3 wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 176853009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*h - 75*h + 24*h)*(-3*h + h + 0*h)*(-h + 0*h - 2*h).\nAnswer: -804*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92312*y**4 - y**2 - 7784*y + 2?\nAnswer: -2215488*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 29271, 0.0124 in ascending order.\nAnswer: -5\/2, 0.0124, 29271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 19. Let q be (126\/d)\/(9\/240). Suppose -r = -3*o + 4*r + 271, 0 = 5*o - 2*r - q. List the prime factors of o.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 14*g**2 + 47938*g**3 + 2*g - 95949*g**3 + 47945*g**3 + 2*g**4 to the form q + n*g**3 + v*g**4 + j*g**2 + z*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3814538 and 3962?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -s - 25, 5*o + 20*s = 15*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4. Let v be 0 + 2*(-2 + 3). Solve 0 = -v*s - u - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.1. Let o = -15 - -18. Let p(x) = x**3 - 22*x**2 + 3*x - 67. Let i be p(22). Put o, i, t in descending order.\nAnswer: o, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -7*m - 2*f + 2580, -4*m - 3*f = -10305. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + x - 196 + 199 = 0, -4*o + 5*x = 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -101600 divided by 8\nAnswer: -12700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (-30 - -31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1199, -2399, -3599, -4799, -5999?\nAnswer: -7199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(5\/2)*k**(-1\/5)*k*k\/(k**(2\/19)\/k)*(k**(-2\/11)\/k)\/k assuming k is positive.\nAnswer: k**(6297\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -136*i - 138*i + 63455. Solve 17*k - 66*k = -i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 5. Let i be f(2). Suppose -4*b - 7*w + 13509 = -4*w, i*b = -2*w + 10132. Suppose 0 = -6*t - 0*t + b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23034463 to the nearest integer?\nAnswer: 4799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43839, 87682, 131525, 175368, 219211?\n\"Answer: 43843*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6708\/42)\/(-13))\/((42\/392)\/((-3)\/(-4)))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*s + 1 + 10, -2*v + 9 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 206.\nAnswer: -14\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0264752646 rounded to six decimal places?\nAnswer: -0.026475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 8*t + 5. What is p(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 9 = 2*f. Let v = -1 + 2. Let b be -1*v - (1 + f). Solve 1 = -l - b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-16)*17\/(136\/(-48))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-15) + (14 - 17 - 231\/(-45)). Solve 2*z - 3*m + 6 = 0, -5*z + 10*z + t*m - 23 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and 9\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 14 = -9*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.46885 and 0.3.\nAnswer: -0.16885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 91874.8 micrometers?\nAnswer: 0.0000918748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffjjjjjggj. What is prob of sequence jgfg?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one fifths of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 8 + i + 2 + 0*i. Let g be l(10). Solve 5*u + 10 = -g*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 50*u + 60. Let k be x(-24). Solve -5*y - 4*m = 12 - 3, -k = -3*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 208*f - 3560. Calculate the lowest common multiple of 980 and g(19).\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3\/20 (c) -16 (d) 0 (e) -1\/8 (f) -2\/11 (g) 3\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, -0.08, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.997 - 2.997. Which is the fourth smallest value? (a) u (b) 0 (c) -12 (d) -1\/7 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 14213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*i + 6, -7*s - 4*i - 16 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1110 + -590. Let i = -487.7 + y. Round i to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 42439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10582211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000618919425 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5227721 millennia to decades.\nAnswer: 52.27721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + -6 + 1 - -8) + 49 + -11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 + z - 1. Let q(f) = -18*f**3 - 25*f + 770. Let t(d) = -2*k(d) + q(d). What is the first derivative of t(w) wrt w?\nAnswer: -72*w**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 0*s + s**2 + 0 - 3\/8*s**4 - 1\/3*s**3 - 1\/60*s**5. What are the prime factors of z(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5388\/(-492) - (-6)\/(-123)) + 10235 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14251636.63 rounded to the nearest 1000?\nAnswer: 14252000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-22))\/((-264)\/(-4356))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*(x\/(x\/x**(-11)*x))\/x)*x\/x**(-2\/7) assuming x is positive.\nAnswer: x**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217305 - -16735315\/77. Let i = k + -376\/11. Suppose -2\/7 - i*j - 40\/7*j**2 = 0. Calculate j.\nAnswer: -1\/4, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -32, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z - 2. Let h(i) = -405 - 392 + 794 + 6*i. Let r(q) = 2*q - 4. Let l be r(3). Calculate l*h(k) - 3*c(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 1 = -2*j - 7, 3*j + 16 = -2*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2694186937?\nAnswer: 13, 207245149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 20\/5 + 0. Let j be (3\/(-3 + 4))\/1. Let n be j\/(-6) + (-25)\/(-2). Calculate the highest common factor of f and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.3. Let u = 6.5 + -0.5. Let y = u - 7. Which is the nearest to y? (a) 3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v + 60*v = 0, -5*q - 2*v - v + 80 = 0. Let y(n) = -n - 9. What is y(q)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52720738970 to the nearest 1000000.\nAnswer: 52721000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 9 (b) -1\/8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8636 = -18*f + 14*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1446, -53, 4, 0 in increasing order.\nAnswer: -1446, -53, -39, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - g = 6, 10*z - 5*g = 14*z + 11. What is the hundreds digit of 1 + z + -4 - -1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 733.97 + -739. Let s = -0.03 - u. Let r = 44\/7 + -6. Which is the nearest to r? (a) s (b) -3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**7*v)\/v)**(-6\/13) assuming v is positive.\nAnswer: v**(36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*l + 2*z + 52, -4*l - 5*z - 60 = 0. Let n = l + 51. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, -1, 0, -27, 3 in descending order.\nAnswer: 17, 3, 2, 0, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37a85 (base 13) to base 6.\nAnswer: -2112113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + -4*(-2*sqrt(77) + sqrt(77)) - sqrt(77)) + sqrt(77) + (sqrt(77) - 6*sqrt(77)*-2))\/(sqrt(22)\/sqrt(2)*5 - sqrt(44)*-1) + -2.\nAnswer: -2 + 19*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1975?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 412*x**3 - 375*x**3 - 15 to the form i + u*x**2 + q*x**3 + d*x and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 f when four letters picked without replacement from mfnmmfnnffcammfaff.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**(4\/19)))\/(o*o\/(o**(-26)*o))*o*o\/(((o*o**(2\/5)\/o)\/o)\/o*o)*o*o*(((o*o**16)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(-913\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39843491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 273236252*x**4 + 26202*x**2 - 387?\nAnswer: 6557670048*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5820 = 16*d + 604. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12261 or -12259?\nAnswer: -12259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0 - 1\/20*q**5 + 0*q + 1\/3*q**3 + 0*q**4 - 10*q**2. Differentiate a(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = r + 380, 0 = 4*d - 3*r - 380. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 227\nAnswer: 6\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15024.65 millilitres to litres.\nAnswer: 15.02465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -x + 131. Let g = x - 82. Solve 4*j = r + 1, g*j - 3 = 5*j + 3*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(300) + sqrt(12))*-6)\/sqrt(4).\nAnswer: -35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -864.4 plus 0.2?\nAnswer: -864.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -2*t**3\/3 - 8. Let l(z) = 3*z**2. Determine l(o(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofvifomg. Give prob of picking 1 v and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.48 and 6053.35.\nAnswer: 6057.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00085182075 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k + 26*k + 32*k.\nAnswer: 74*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11337 - -5.\nAnswer: 5.11337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*x - 11646*z + 11649*z, 7*x - 9 = 2*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729788 is divided by 1267.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - x + 1. Let r(b) = 65*b**3 + b**2 + 5*b - 3. What is -10*p(n) - 2*r(n)?\nAnswer: -120*n**3 - 2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from echhecccexxc. Give prob of sequence xx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 14) to base 3\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -20. Let h = x - 32. What is the tens digit of (-1*3)\/(h\/50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 2. Let u = j - -35. Suppose -212 = -u*k - 3*b - 2*b, 2*b = k - 40. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -703*n + 12. Is c(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12453527 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1072362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -540 (base 9) to base 5.\nAnswer: -3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5 - 15*d**4 - 27*d**3 - 21*d**2 - 6*d = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17692990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 62. Let i be j(-13). Suppose -5*z = i*h - 56, 0*z = -3*z + 3*h + 24. Let f = 7 + -1. Is z at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 - (15252 + 19 - 24). Which is greater: -15228 or g?\nAnswer: -15228","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1128, -281, -2630, -5919, -10148, -15317?\nAnswer: -21426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -15017, 3, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/10*(-455)\/364)\/((-1)\/(-2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyyxqqnqnqnnnxex. What is prob of picking 2 n and 1 q?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f = -37*f - 116. Let b = f + -47. What is the greatest common factor of 88 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-6)*-888*(38\/(-8))\/19. Which is bigger: 514 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20648, -20706, -20776, -20858, -20952, -21058, -21176?\n\"Answer: -6*w**2 - 40*w - 20602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-w + 5 - 5)*(1 + 1 - 1) + (-w - 2*w + 4*w)*(3 - 2 - 4))*(-2 + 3 - 2) to v*w + p and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/18)\/(65\/(-30)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 21 + 6 = 5*k, k = p + 7. Let b(m) = m**2 - 10*m - 8. Calculate the remainder when b(12) is divided by 1\/(-1) - -5*k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 4. Let k = 3 + -4. Let o be (-11 + 3)*k\/2. Suppose 0 = 3*i - o*i + 4. Let p(r) = -r**3 - 1. Calculate i*p(y) - h(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5 - 6020\/1188)*351\/(-288) and 75\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222210011111 (base 3) to base 14\nAnswer: -da1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**3 - l**3 + l**3)*(-153 - 353 + 160) to u + j*l**2 + q*l + g*l**3 and give g.\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**3*x + 15387*n**3 + 554155*n**2*x wrt n.\nAnswer: 6*x + 92322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4587?\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 + 0)*(2*i**2 - 2*i**2 - 3*i**2) + 1537*i**3 + 1534*i**3 - 3072*i**3 - 444*i**2.\nAnswer: -4*i**3 - 444*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**3 - 5*w**2 + 7*w + 17. Give v(-4).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 497 - 276. Let b = -1623 - -1728. Let l = i - b. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3234616595.\nAnswer: 5, 7, 8821, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.6 + 178. Round w to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29150 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waoaaatwwaaaqtqw. Give prob of picking 1 w and 1 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*d = -44, 0*l + 15 = -3*l + 3*d. Let b = l - -11. Suppose b*w = -0*w + 9. Solve k + 8 = -3*y, -w*y + 9 = -3*k + 33 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935380 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19773 is divided by 6546.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 177 = 63. Suppose -2*u = -o - 26. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10726, 21395, 32062, 42727, 53390?\n\"Answer: -i**2 + 10672*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 14*z**2 - 55*z + 80. Let m be s(17). Calculate the greatest common divisor of 2364 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 + -225334?\nAnswer: -224888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 112537417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - z**2 + 2*z**2)*(-2 - 37*z - 26*z + 25*z).\nAnswer: -38*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3\/1064, -4 in increasing order.\nAnswer: -10, -4, 3\/1064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1759*w + 21106. Give y(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16981 + 16981.0000075449. Round w to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1303 is divided by 329?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.74 and -2863.\nAnswer: -2862.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4*10\/(-80))\/((-6)\/3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 21 = m, 21 = -3*y - 2*m - 17. Let z be (y\/12)\/((-2)\/12). Suppose -t = 5*n + 1 - z, -5*t - 4*n = -14. Solve -g - g = -t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -10*k - 10. Factor -6*f**2 + 3 - 2*f**2 + 12 + 3*f**k + 10*f.\nAnswer: -5*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215895322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -p + 17, 2*b - 3*p + 150 = 189. Calculate the remainder when 298 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**2 - 87*s + 41. What is k(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000194376 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*m = -97*m - 127*m + 34629 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 greater than 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26850463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2, -1\/1143 in descending order.\nAnswer: 2, 0.1, -1\/1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 + 773 = -21*b + 180 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/(-16) - (-2)\/8*11\/(-22)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**3 - 97*m**2 + 15*m + 22. What is z(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*a + 11*a - 552032 + 176627. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 - 31*f**4 + 6501*f**2.\nAnswer: -240*f**3 - 744*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -132)\/((66\/(-4500))\/11). What is w rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-455)\/25 + 1 + 1. Let g = y + 1387\/85. Are g and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8930 is divided by 113.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.2, 2, 2\/27, 3, 508 in decreasing order.\nAnswer: 508, 3, 2, 2\/27, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 843 = 4*l - 764, -2*n = -l - 17 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 71 = -2*x - 3*p, -3*x + 3*p - 165 = 0. Let d = x + 968. Calculate the common denominator of ((-2)\/6)\/(30\/d) and 107\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**3 - 62*h**2 - 229*h - 2161. What is c(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8327 = -6*z - 0*z - 8261. Let o = 6 + 5. Calculate the greatest common divisor of z and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 84*v**5 + 3944*v**4 - 36560*v**3 + 34072*v**2 - 1540*v = 0.\nAnswer: -55, 0, 1\/21, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11354 = -1745*c + 49721 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*68 - 308\/(-44). Calculate the highest common divisor of 117 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/11 - 1\/22. Suppose 12 = -2*d + 4, 0 = 3*p - d - 16. Suppose -p*x + 10 = -10. Which is the nearest to z? (a) -5 (b) -4\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-10*o + 2*o + 21*o)*(13*o**2 + 2*o**2 + 5*o**2).\nAnswer: -520*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2716.\nAnswer: 8148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*t + 18, v = 3*v + 2*t - 4. Let f(w) = -w**3 + 8*w**2 - 7*w + 6. Determine f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*a + 26, 4*z + 0*z - 4*a = 36. Let v = 40 - 7. Suppose 0 = -z*b + 4*b + v. Calculate the greatest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*z + 67*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 8*n + 8. Let m be p(4). What is the common denominator of (3\/(-9))\/(2\/m*-66) and 26\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(99)*-3)\/sqrt(9))**2*-5 - ((-1*sqrt(44))**2 + sqrt(11) - sqrt(1584)*-4))*-5.\nAnswer: 245*sqrt(11) + 89320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -3*a - 20. Suppose 37 = -a*i + 57. Suppose -76 + 24 = -r + 4*m, -3*m + 246 = i*r. What is the highest common divisor of r and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/3, -258407?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -19*v - 15. Let f(u) = 38*u + 30. Let r(t) = -4*f(t) - 7*s(t). Suppose q - 18 = -2*q. Let a(z) = -9*z - 7. Give q*r(h) - 13*a(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.65094695 to 3 dps.\nAnswer: 0.651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 1068*d**2 + 17907*d + 18972.\nAnswer: -3*(d - 17)*(d + 1)*(d + 372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u**2 + 6*u - 44. Let i(n) = n**2 - n + 4. What is f(j) + 9*i(j)?\nAnswer: -3*j**2 - 3*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let h(b) be the third derivative of 7*b**2 + 0*b**3 - 7\/12*b**4 + 0*b + 0. Determine h(x(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((6\/34)\/(-3)). Suppose -1540*o = 1846 - 9546. Solve 6*r = s - o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:34 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-341)*462\/(-84) + (-702)\/(-310)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569, 1232, 1931, 2666, 3437, 4244, 5087?\nAnswer: 5966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 28*x**5 + 5*x**4 + 5*x**3 - 34*x - 5. Let i(b) = b**4 + b**3 - 1. Let v(m) = d(m) - 5*i(m). Find the second derivative of v(c) wrt c.\nAnswer: 560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = z + 4*t, -3*z + 10 = -0*t - t. Let v(j) = -3*j. Let q(w) = 4*w. Let y(d) = -2*q(d) - 3*v(d). Let b be y(-7). Put 2, b, z in decreasing order.\nAnswer: z, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7693240 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001136442903 rounded to 7 dps?\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.8 and 2080435?\nAnswer: 2080431.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2601 - 2596. Let -6*i**3 - 10\/3*i**4 + 0 - 4\/3*i - 14\/3*i**2 - 2\/3*i**v = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 11*n = -2325. What are the prime factors of n?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 5. Let j(z) = -z - 2. Let d(y) = -2*y + 6. Suppose -2*p - 7 = -b, 3*b - 11 = p - 0*b. Let w(r) = p*j(r) - d(r). What is w(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 times -5?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312828275 a multiple of 4119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-140)\/(-21))\/(-10))\/(-6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6382440 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17021 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 757266.1 micrometers in centimeters?\nAnswer: 75.72661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 4 + sqrt(19) + 0 + (sqrt(19) - -1*sqrt(19)) + 4.\nAnswer: 8 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {l: 7, z: 10, d: 1}.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-8) - (-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let w = -7 + 17. Let t(u) = 59*u**2 - w*u**2 + 11*u**2. Let b(h) = h**2. Let c(p) = -110*b(p) + 2*t(p). What is c(f(s))?\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(6\/31))**(2\/33) assuming c is positive.\nAnswer: c**(-4\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from jjxxjx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-1 + sqrt(468) + -5)*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from rrzrriiir.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 21 + 119. Suppose -5*m + 26 + 18 = n, 3*m + 2*n - 25 = 0. Calculate the remainder when j is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 652241633?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 10. Suppose -d*o = -g - 38 - 158, 76 = 2*o - g. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) - (-2)\/(-20)*5. What are the prime factors of 3 - (-1 + (-54 - l) + 2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 6*j - 6. Let x = -5 + 12. Let z be t(x). Which is smaller: z or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*j - 752, g - 5*g = -3*j + 441. Let f = -59 + j. Suppose -2*r = 3*c - f, 0 = 4*r + 4*c + c - 182. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8983 divide 1539461625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -28148.2361 to the nearest ten.\nAnswer: -28150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2 - 8. What is the tens digit of (2 + 108)*j\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -5 (c) 24\/29 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020665 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 21*x = 205. Let r = x + 51. Let h(o) = 20*o. Let p be h(4). What is the greatest common factor of p and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.39, 14\/15, -0.68, -5?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 61 = -y - 5*w, 4*y - 4*w + 52 = 0. Let l = 18 + y. What is the units digit of 9 + l + 4\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 171873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2.97. Let p = -110 + 109. Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -153334 at least as big as -153329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481601 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -43*w**2 + 10*w - 5. Let q(p) = 21*p**2 - 4*p + 2. Let t(b) = 2*n(b) + 5*q(b). Let u(x) = 29*x - 16*x - 9*x - 2*x. Determine t(u(s)).\nAnswer: 76*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -27*d + 4*d**3 + 26*d - d**3 + d**2 - 2*d**3. Let m(q) = 27*q**3 + 4*q**2 - 4*q + 4. Let i(z) = 4*f(z) - m(z). Differentiate i(x) with respect to x.\nAnswer: -69*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1520, -1579, -1686, -1841, -2044?\n\"Answer: -24*k**2 + 13*k - 1509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**4 - 2*j**2 - 2*j + 1. Let c(t) be the first derivative of t**3\/3 + t**2\/2 + 3. Let i(s) = b(s) + 2*c(s). Find the first derivative of i(v) wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 1, c: 1}. What is prob of sequence ll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/9 - 88*u**3\/9 - 184*u**2\/9.\nAnswer: 2*u**2*(u - 46)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -864 + 2700. Does 102 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-352)\/(-6160)*(-5)\/6\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -738 and 20.6?\nAnswer: -15202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.45965 rounded to 2 decimal places?\nAnswer: 18.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 - 15 = 18*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 1. Let w(x) = 44*x - 33. Calculate -33*p(a) - w(a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22785\/193 (b) 74 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 - 6*v**2 + 3*v - 70*v**3 + 3*v**2 - 1644 + 6*v**2 + 1646 in the form l*v + u*v**4 + q*v**2 + p*v**3 + h and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 not equal to 9.81504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -492, -957, -1422, -1887, -2352, -2817?\nAnswer: -3282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(1331) + 3))**2.\nAnswer: 1760*sqrt(11) + 21696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-7)\/2 + 675\/36600*(-9064)\/(-66)\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16693147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -3*a + 111. Suppose 4*m = 3*m + 8. What is the greatest common factor of a and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100001 - -10?\nAnswer: 1010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742 + 8*q**3 + 23368*q - 23368*q.\nAnswer: 8*q**3 - 742","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/6*6\/(-15). Let u = 394.04 + -394. What is the closest to 2\/5 in -0.3, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56280\/23 = 2448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8*1 - 14287\/1092. Which is greater: -13 or x?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 16*a - 19. Suppose 57*z = -560 - 409. Give d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**4\/24 + n**3\/6 + n**2. Let j(f) = -2*f - 5 - 2*f + 2*f**2 - 2*f. Suppose -3*y = -4*y + 1. Give y*j(o) + 5*v(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 13*r**2 + 389*r - 13. Give d(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.64 and 0.13.\nAnswer: -0.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6231 (base 15) to base 9.\nAnswer: 31411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21314809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 66912654 divided by 834.\nAnswer: 80231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(4 + -6)*0. Put o, -3, -15 in descending order.\nAnswer: o, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = 5*p - 8*z, 2*z = p - 4. Suppose -f - x + p*x + 8 = 0, f + 4*x = -12. What is the first derivative of -5*i + i + 2*i - f - i wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3*c - 4*c)*(1 - 5 + 7)*(0 - 3 + 4 + (-1 + 4 - 5)*(-3 - 4 + 5) - 3 + 1 + 3 + 2 - 2 - 2 + 2 - 2 - 1)*(2 - 2 - c).\nAnswer: 63*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 28511 - 28477. Solve -2*b + 4*l = 8, -2*b = -3*l - r + 42 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15829 and 2937?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4971626763 rounded to 5 decimal places?\nAnswer: -0.49716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1302 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 - (-72)\/5. What is the units digit of -1 - (1 - 2 - j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*a - 95*a - 101*a = -48 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -0.1, -12\/17, -15 in descending order.\nAnswer: -0.1, -12\/17, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33848233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n**2*o*w + 7*n**2*o + 19*n**2*w**2 + 21*n**2*w - 108*n + 147799*o*w**2 - 1 wrt w.\nAnswer: 38*n**2 + 295598*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2 + (-1 - 2 - 2)*(-2 + 1 + 4) + 1 + 4 - 4)*(0*l**3 + 0*l**3 - 2*l**5).\nAnswer: 24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:22 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*y + 158, -2*y + 138 = -0*h + 4*h. Suppose 2*l + 20 = i - 3*l, 5*i = 2*l + y. Calculate the remainder when i is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2128 + 78236*f**2 - 2693 - 74333*f**2 wrt f.\nAnswer: 7806*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 4. Calculate the remainder when 37 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.8 + -57. Let g = 0.01474 + -4.01474. Let q = -2.9 + 3. What is the second biggest value in g, h, q, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4827*s - 4892*s = -9611*s - 4428 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1364 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2072929, -4145857, -6218785, -8291713, -10364641, -12437569?\n\"Answer: -2072928*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t - 27. Let v(f) = 7*f + 18. Let p(u) = -5*d(u) - 7*v(u). Let o be p(-7). Is (3\/6)\/(o\/48) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -43. Let c be 42\/5 + (-3)\/(45\/x). Find v such that 0*v**3 + 0*v**5 + 10*v**3 + 3*v + c*v**3 + 12*v**4 + 3*v**5 + 12*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10423, 2, -3 in ascending order.\nAnswer: -10423, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -115200 divided by -3200?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -127664, -255327, -382994, -510665, -638340, -766019?\n\"Answer: -2*p**2 - 127657*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 2:07 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(3\/(9\/(-3))). What is the units digit of (9\/3 - 0) + h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 + -0.0229?\nAnswer: -0.1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = -3*s. Let u be (-2 - -5) + 15\/s. Let l be (12\/(-9))\/(u\/6). Is -1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39\/224 - -7897\/42784. What is the smallest value in g, -1.4, 4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from zzcwzww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11161 - -111709\/10. Find the common denominator of 49\/1375 and o.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 33. Let h = -6 + j. Suppose 0*t + t - 3 = h. Put 5, 0, t in descending order.\nAnswer: 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t**2 - t + 3*t - t)*(5 + 2 - 13).\nAnswer: -42*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 + 547. Suppose -9*z + 14*z = m. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43765150 divided by 8753030\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -d?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.4 + -14. Let g = x + 5. Let f = -55 - -56. Put -1\/7, g, f in decreasing order.\nAnswer: f, g, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 10098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 32*s**2 + 37. Let d(f) = 6*f - 34. Determine a(d(n)).\nAnswer: 1152*n**2 - 13056*n + 37029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232 by 8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -164794 or -164793?\nAnswer: -164793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 26 - 29 - 24*q - 27.\nAnswer: -24*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 - (-13 + 806\/13). Which is smaller: c or -327\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.02 + 0.02. Let s = 0 - -3. Put s, 2\/7, y in ascending order.\nAnswer: y, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -556137 by -165.\nAnswer: 185379\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 + 2. Let j be k(2). Suppose -2*v = 5*c - 26, -5*v = -6*v - 5*c + j. Suppose 40 = 34*p - 14*p. Solve p*b + 0*b = v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 less than or equal to 171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438 is divided by 290?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 26 - 2 - 24 - 23*t**2. Let o(u) = 4*u**2. What is o(c(j))?\nAnswer: 2116*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3161 and 174?\nAnswer: 18966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-149)\/745)\/((-5)\/((-10)\/(-4)))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -100203 = -100296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuuumu?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2. Let p(i) = -290*i + 3486. Let z be p(12). Determine m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1095495, -1095497, -1095499?\n\"Answer: -2*i - 1095493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6403972485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2366 + 2366 - 758*n + 9124*n.\nAnswer: 8366*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-1 + -2 + (2 - -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01319794 to five decimal places.\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 + -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 1132. Let n(g) = -3*g**2. Determine n(h(w)).\nAnswer: -12*w**2 - 13584*w - 3844272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(200)*2 - (sqrt(8) - sqrt(88)\/sqrt(11)*6)\/sqrt(4).\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.007 (b) -2\/11 (c) -1 (d) 2 (e) 1\/10 (f) 52.65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 391 + -76. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) + 2168\/(-36). Let p(u) = -u**3 + 4*u**2 - 3*u + 14. Let q be p(4). Find the common denominator of q\/15 + 563\/s and 17\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/25*o**4 + 12\/25*o**3 + 0*o + 18\/25*o**2.\nAnswer: 2*o**2*(o + 3)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*z + 30 = -64*z. Let j(a) = -z*a + a - 5 + 3*a - 12 + 2*a. Let b(d) = -2*d - 9. What is -7*b(x) + 4*j(x)?\nAnswer: -2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 7. Let f be t(-7). Let p(u) = -u**2 - 4*u + 63. Let g be p(-10). Suppose 2*m + 2 = f, -5*h = 4*m - g*m - 499. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36364944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + -6*(4*sqrt(80) + sqrt(270)\/sqrt(6))**2.\nAnswer: -10827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 568*a - 6794. Let x be r(12). Solve -5*t = f - 18, -t + x - 20 = f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2814530*137\nAnswer: -385590610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.3. Let z = -80 + 75. What is the nearest to q in -1, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 3*r. Let h be j(-2). Let a = h + -42. Let i = -33 - a. Sort 7, i, -3.\nAnswer: -3, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.762611 meters?\nAnswer: 6762611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 103?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3719639 is divided by 157?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21106 + -4713?\nAnswer: 174a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/8)\/(1\/12). Let d be 594\/o - (-4)\/(-14). Suppose 0 = 5*s - 8 + d. What is the biggest value in s, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.442177 rounded to two decimal places?\nAnswer: -69.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*c - 5 = -2*c, 4*c + 2 = -2*s. Suppose u + 3*v - 25 = -2*v, 0 = -4*u + 5*v. Suppose -10*x + u = -15. Put 4, x, -5, s in increasing order.\nAnswer: -5, s, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826531816.\nAnswer: 2, 11, 9392407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2. Let g(r) = -6 - 3*r + 15 - 9. Give w(g(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -17*n**2 - 5*n - 4. Let b be q(-2). Let i = b + 90. What are the prime factors of (i\/(-8))\/((-1)\/10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564396121 plus -3.1309?\nAnswer: 564396117.8691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -130642 divided by -166?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 620678 to the power of 1\/2, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + 0 + 1 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 2148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2049341 to the power of 1\/2, to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**4 + a**2 - 1. Let q(y) = 79*y**4 - 7*y**2 - 35*y + 7. Let b(i) = 42*d(i) + 6*q(i). Find the second derivative of b(x) wrt x.\nAnswer: 5184*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15\/2, -7, -393, -4\/7, -4, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + w**2 + 3*w**2 + (4 - 3 + 1)*(-2*w**2 + 2 - 2))*(-4 - 1 + 2)*(4 - 56*w - 4).\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*i - 3*r, 3*i - 24 = -2*i + r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**3 + 6*j**4 - 2*j**3 - 7*j**4 + (0 + 0 - 2)*(-2 + 2 + j**4).\nAnswer: -3*j**4 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 + 218. What is the remainder when 86 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-209)\/(-33)*18\/(-2). Let b = 21 + a. Let i = b - -49. Calculate the remainder when 88 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 613305, 612244, 611181, 610116, 609049, 607980?\n\"Answer: -g**2 - 1058*g + 614364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -596 divided by -151?\nAnswer: 596\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(243)*-2 - (1 + sqrt(243)*-1)))**2 + (6*(6*sqrt(96) - sqrt(6))\/((sqrt(30)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: -540*sqrt(3) + 63243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from {p: 9, y: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -0.675. Let l = n + 57.925. Let y = l - 57.99943. Round y to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 17 - 19 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 425, 2124, 4947, 8888, 13941, 20100?\n\"Answer: -t**3 + 568*t**2 + 2*t - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5157, 4668, 4177, 3684?\nAnswer: 3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/60*(-680)\/476*7\/(-4)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 760, 1074, 1620, 2398, 3408?\n\"Answer: 116*c**2 - 34*c + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.1. Suppose p + 44 = -0*p. Let q = -217\/5 - p. Which is the closest to x? (a) q (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10111000000100?\nAnswer: -10111000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 25 = -5*o + o, 4*a = -2*o + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d - 6. Let z be t(-4). Let p be 30\/(-25)*20\/z. Let w be (2\/(-4))\/((-1)\/(-4)). Which is greater: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/96 and 15\/404384.\nAnswer: 1213152","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 41. Let x = 28 + v. Let z(h) = -25*h**2. Give z(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 522, 4, -42 in decreasing order.\nAnswer: 522, 4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 113*t - 562. Let q be h(5). Let x(o) = 5 - 2 + 5 - o - 1. Let p be x(5). Sort p, 4, q in increasing order.\nAnswer: p, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.07 - 0.07. Let u(y) = -128*y**2 - 2*y - 1. Let b be u(-1). Let l = -631\/5 - b. What is the closest to -2\/9 in l, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 24600000. Let t be p(0). What is t rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49700 divided by 5.\nAnswer: -9940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**3 - h**2 - 2*h - 10. Let k(a) = -10*a**3 + a**2 + 4*a + 20. Calculate 5*f(c) + 3*k(c).\nAnswer: -5*c**3 - 2*c**2 + 2*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*(-18)\/4. Let g be ((-4)\/10)\/((-155)\/25 - -6). Sort -5, g, j in increasing order.\nAnswer: -5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6753081 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -216 - -399. Let n = p + -30. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**3 + 224*z**2 - 68*z + 36. Let r be b(-88). What is r rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) - (sqrt(704) + 0) - sqrt(704)) + 5 + sqrt(704))*6 + -2 + sqrt(704) + 3 + -2)**2.\nAnswer: 464*sqrt(11) + 1545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (3\/4)\/(7\/700)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7cef99 + 1?\nAnswer: 7cef9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 + o**2 + o - 1. What is f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/7*(-28)\/3. Suppose q*d = 3*d + 2*n + 694, 2*d - 283 = -n. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3272058 (base 10) to base 13\nAnswer: 8a743a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a2 (base 12) to base 14.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141915300?\nAnswer: 2, 5, 7, 107, 28597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i - 2*i. Let u = -68 - -68. Solve u*j - i = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7282 - 3700 - 3582 + b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzazgzz. What is prob of sequence zgg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**6\/12 - 3*l**5\/20 + l**4\/16 + l**3\/4 + l**2\/8 - 2. Let v(y) = 0. What is y?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + r + 22, -12 = 4*x + 519*r - 523*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.09 (b) -0.5 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 4660, 15874, 37726, 73762, 127528, 202570, 302434?\nAnswer: 430666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/14 + 2244\/21 + 1. Is 3 a factor of (a\/21)\/((-60)\/(-560))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 984 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 4133118*f**2 - 6199668*f.\nAnswer: -2*f*(f + 1033278)*(2*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/31)\/q**(6\/5) assuming q is positive.\nAnswer: q**(-176\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16121\/30 + -1604\/3. What is the nearest to -1 in y, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -372*y - 375. Calculate t(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39577268*s*y**3 - 19660*s*y + 1187*y**2 wrt y.\nAnswer: 237463608*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.08782 and 122?\nAnswer: -132.71404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 286, -81504, 1\/7 in descending order.\nAnswer: 286, 1\/7, -81504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7469340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -3*(-4)\/30. Let z = -19 + 23. Let w = -5 + z. Which is the closest to w? (a) j (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1878*c + 1942*c = 1078336. List the prime factors of c.\nAnswer: 7, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39059 = 2280*w - 682*w + 598*w - 46585 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qgqc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + r = -5*k + 139, -4*r - 116 = -4*k. Let j be (k\/21)\/((-4)\/(-6)). What is the third derivative of 795 - 795 + 6*a**6 + 8*a**j wrt a?\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*c - 12, -2*a + c + 45 = 0. Let h = 38 - a. What is the smallest common multiple of 6 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2*c**2 + 2*c - 17. What is the first derivative of z(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (33 + -123 + 45)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12\/7, -1, 4, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 11:02 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 142553\/8 >= 17820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -193482, -194492, -196176, -198534?\n\"Answer: -337*s**2 + s - 193146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9484*b - 52 + 32 + 20 + 18077*b)*(-4 + 4 + 2*b**2).\nAnswer: 55122*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, z: 1, t: 8, l: 2, m: 1}. What is prob of picking 2 u and 2 l?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7597347221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-12)\/(-8))*16. Let u(q) = -6*q + q**2 - 2*q + f*q. Let p(m) = -m**2. Calculate u(p(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 485 - 173. Suppose -2*k = 0, -3*k = 4*m - 2*k - a. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 31 + 837 + 5931 - 648.\nAnswer: -2*q + 6151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -10*f + 5. Let a(w) = -w**3 + w**2 + w. Let v(g) = -5*g**3 + 19*g**2 - 8*g + 15. Let r(c) = f*v(c) - 6*a(c). List the prime factors of r(-14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7011 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -11. Solve -z*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-806)\/(-195) - 11.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121933205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 c when three letters picked without replacement from ocoe.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, c: 9}. Give prob of picking 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3877 (base 10) to base 8.\nAnswer: 7445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j - 3*j**2 + 3 + 3*j**2 + j**2 + 3*j. Let f be m(-3). Suppose -117 = -3*v + 2*y, v - 161 = -f*v + y. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 11 + 5 = 3*y, d - 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1695780 is divided by 5844.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2 - 2 - s - s**2. Let q be o(-2). Let k = 482 + -476. Are k and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 13) to base 9\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 33*n**2 - 2. Let z(f) = -70*f**2 + 9. Let o(b) = -2*h(b) - z(b). Let g(x) be the first derivative of -x**3 + 4*x - 2. Calculate -5*g(w) - 4*o(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*u**5\/2 - 843*u**4\/2 - 409*u**3 - 114*u**2 - 4*u = 0. What is u?\nAnswer: -2, -1, -2\/5, -2\/49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -353*c**3*p**3 + 141*c**3*p - 3*c**2*p**3 - c**2 - 10*c*p**2 + 56*p**3 wrt p.\nAnswer: -2118*c**3 - 18*c**2 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4 + -3*sqrt(171))**2 - sqrt(171)) + -2*sqrt(2299)*-1.\nAnswer: -53*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18183.3 + 18183. Which is the nearest to h? (a) -0.5 (b) -152 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (368 + 4401 + 1587 + 904 - 550 + 2201)*(c**2 + 3*c**2 - 3*c**2) to i*c + v + t*c**2 and give t.\nAnswer: 8911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*z + 12, -2*z + 15 = 3*z. Suppose -2*h + 4 = -k*h. Does 16 divide 1 - (1 - 60\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 17 (c) 3\/4 (d) -0.33 (e) -2 (f) -4819\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c - 16 = -23*c. Let h be 3 - 13 - (c - 2). Which is bigger: -10 or h?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/11 - (-5789)\/77?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-11)\/2)\/(-11) - (-618)\/4 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utdrugqdr. What is prob of picking 2 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2535242 to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73583 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 15*g + 11. Let v be d(15). Let a = -16 - -21. Let x(p) = -18*p + v*p + 11*p - a. What is x(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from rqqcqqqqqqrqqq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7485, 7508, 7537, 7572, 7613, 7660, 7713?\n\"Answer: 3*s**2 + 14*s + 7468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.1 and 10.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = 0, -2*j - 16*b = -14*b - 254. What is the least common multiple of 9 and j?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w - 57*w + 29*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-5)\/s)**32\/(((s**(7\/5)*s)\/s)\/(s\/(s\/s**15))))**22)**(-28) assuming s is positive.\nAnswer: s**(549472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) 0.1 (d) -5 (e) -5\/4 (f) -1174.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 16*g = -9. Let w(a) = -a + a + g*a. Let m(k) = -5*k**2. Determine w(m(x)).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*q = 28, 1070*o - 1073*o + 3 = q. Factor -2401\/2 - 161*u**3 - 1\/2*u**o - 3773\/2*u - 833*u**2 - 29\/2*u**4.\nAnswer: -(u + 1)*(u + 7)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365 + 310. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12607*-3.\nAnswer: 37821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9912 + -10251.15. Let k = 4.15 + n. Let x = -384.8 - k. What is x rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 27 - 2*h + 3*h - 28 - 3*h**2 + 6*h**2. Let p be r(-2). Let t(w) = -5*w - 1 - 9*w + 4*w - 6*w. Determine t(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 3936.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 775002428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 189511717?\nAnswer: 189511716.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*x + 64, -x + 33 = 2*j + 4. Solve 7*m - x = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112.2 - -14.2. Let l = x + 89.2. Let v = 10.33 + l. What is v rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110011011011110 (base 2) to base 5\nAnswer: -12442023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 6 - 6. Suppose -s = -2*s + i. Let m be (4\/1)\/2 - -3. Put m, s, -5 in decreasing order.\nAnswer: m, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.07 and -6933.5?\nAnswer: 6933.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 179800 and 150.\nAnswer: 539400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2598*q - 3091*q + 160*q.\nAnswer: -5529*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((10 - 8) + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3*l - 3)*(-3*l + 0*l + l)*(11 - 13 + 373*l**2 - 376*l**2) as m + x*l**4 + b*l + r*l**3 + z*l**2 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 491 - 2457\/5. What is the second smallest value in y, 2, -19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m + m)*(-27 + 17*m + 27)*(0*m - m - m)*(7*m + m - 4*m).\nAnswer: -272*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 39\/2*g**3 - 117\/2*g + 3\/8*g**4 - 3\/4*g**2 - 57. Factor u(i).\nAnswer: 3*(i - 1)*(i + 1)*(i + 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 divided by 2819.\nAnswer: -122\/2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -14689000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -10. What is the common denominator of 34\/(l*3\/(-3)) and -79\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17476449 is divided by 4169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**4 + 2*s + 2*s**4 + 3*s**3 - 5*s + 11*s**2 + s as m*s**2 + b*s**3 + j*s + f*s**4 + z and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 2*u**3\/45 + u**2\/3 - 44*u\/5 - 5824. Find t, given that a(t) = 0.\nAnswer: -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56157710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-3) - 2\/(-6). Let t = -0.351 + 0.4305. Let f = t + 0.0205. Which is the biggest value? (a) f (b) 2\/27 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, s: 2, n: 1}. What is prob of sequence ssu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + -2 + 4 + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. Let v(s) = -39*s**3 - 3*s**2 + 8*s + 14. Let l(z) = 13*z**3 + z**2 - 3*z - 5. Let t(c) = -11*l(c) - 4*v(c). What are the prime factors of t(q)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 154, 181, 208, 235?\n\"Answer: 27*z + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -0.5 (b) 1 (c) 3\/7 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4535 - 202?\nAnswer: -5141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Which is the third smallest value? (a) o (b) 0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 5*k - 7*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 81\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 - 9*y + 6. Let f be u(7). Let x = f - -107. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 56*h - 198. Let n be p(60). Solve n*g + 12 = 40*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 6*t**2 - 3*t**2 + 2*t + 2 - 4*t**2. What is m(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458*o**3 - 13*o + 8*o - 3*o + 453*o**3.\nAnswer: -5*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -856204.02783 + -5?\nAnswer: -856209.02783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 divided by -8.\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -13345.56, 3, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j**5 + 900*j**4 - 1052*j**3 - 644*j**2 + 1104*j - 256 = 0. Calculate j.\nAnswer: -1, 4\/13, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19.5 times 20237\nAnswer: -394621.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 38*a + 21. Determine k(-36).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (43 + 4 - 108) + -43 + 10\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhh when three letters picked without replacement from mffhmfhh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920002827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3*p - 2*p)*(4*p**3 - 2*p**3 - 3*p**3) + (2*p**2 - p + p)*(-89*p**2 - 1077 + 1077).\nAnswer: -180*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 + 4*g + 5. Let a(v) = -4*v**2 + 3*v + 4. Suppose 0*w = -3*w - 9. Let d(p) = w*x(p) + 4*a(p). Give d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -42, 8, 254, 798, 1742, 3188?\nAnswer: 5238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1064 - -1543. Let k = v + -474. Solve -4*l + k = 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14334286 and 1986?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19440.00014691 - -19440. Round a to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 7*d - 3*d + 3*d. Let s(w) = 2*w. Determine m(s(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {a: 2, d: 1, h: 3, o: 1, j: 3, x: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 30 + 14. Is 16 a factor of (33 + -1)*(g\/8 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r - 92. Let b = r - 10. Let p = b - -5. 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 common denominator of -151\/18 and (11\/(-9) + 1)\/(272\/(-6783)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49\/3*t**2 + 0*t - 55\/3*t**4 - 182\/3*t**3 - 4\/3*t**5 + 0 = 0.\nAnswer: -7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000110998 to 7 decimal places.\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/24 + (-2)\/6. Suppose y - 1 = -n - r*y, -4*n - 8 = -2*y. Is (-14128)\/(-168)*12 - n\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0849 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 - 6*f - 2. Let z be n(5). Suppose h - 2*h - 5*w - 22 = 0, h + 6 = -3*w. What is the greatest common factor of z and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247 + -203. Calculate the greatest common divisor of h and 1694.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -26. Let z(q) = q**3 - 3*q**2 - q - 2. Let u be z(a). Let c be (3 - 15 - 0)*(-16)\/(-32). Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 119 - 489 = 0. Factor -832*x - 12*x**3 + 319*x**2 + 29*x**2 - w*x**2 + 256.\nAnswer: -4*(x - 8)**2*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190527 is divided by 95258.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k**3 - 87*k**2 - 53*k + 6. Let f be a(-9). Is f at least -1.175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -2, -41 in ascending order.\nAnswer: -41, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + 2*p - 103 + 79, -2*d - 34 = -5*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 10*o - 55. What is a(6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4467 - -4490. Sort r, 0, -4, 4 in increasing order.\nAnswer: -4, 0, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t**2 + 5*t - 8. Suppose 2*d + 50 = 7*d. Let s be j(d). Let i = -789 + s. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311066883?\nAnswer: 3, 233, 148339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.43 - 0.43. Put -2\/3, m, -4\/7, 1\/4 in decreasing order.\nAnswer: m, 1\/4, -4\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**2 - 5. What is the remainder when y(2) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/13 - (-170)\/5525*(-116)\/(-24)*-10?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(13\/(39\/(-6)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -31 - (8 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10713879731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y**3 + 11*y**2 - 4*y - 21. Let f(t) = -3*t**3 - 3*t**2 + t + 5. Let b(k) = 9*f(k) + 2*x(k). Determine b(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80707361.68999026 - 80707360. Let o = 1.69 - j. What is o rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48433 and -0.1.\nAnswer: 48432.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.0146, 11.41, 3 in decreasing order.\nAnswer: 11.41, 3, 0.0146, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 18*q**2 - 39*q - 16. Let z be (54\/(-24))\/(-9) - 158\/(-8). Let u be l(z). Differentiate -u + 19*y**3 - 1 - 10 - 16 with respect to y.\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179098087 or -179098088?\nAnswer: -179098088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 1220*f.\nAnswer: -2*f*(f - 610)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 446440610 a multiple of 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.9739 * 0.766\nAnswer: -0.7460074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2220 and 2220?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 219 = -3*n + 242, 13 = n - 3*j for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**2 - 4*c. Suppose 0 = 3*u - 13 + 4. Let z(y) = -4*y**2 + y. Let x(n) = u*w(n) + 8*z(n). Calculate x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7040 divided by 3520?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 989.723m?\nAnswer: 989723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/1760*-2*(-72)\/4?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (418*t + 2586*t - 937*t)*(-t - t + 3*t) in the form s + w*t + h*t**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(396)\/(sqrt(12)*-2))\/(sqrt(1331) - sqrt(1331)*2).\nAnswer: 3*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**3 - 11 - 9*q**2 - 6 - 70*q + 73*q. Is r(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -221 + 109 + 112 + 25*i**2 as t + v*i + k*i**2 and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*q)*(-51 - 13 - 29).\nAnswer: 186*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.064 + -16. Let c = t - 0.0639843. What is c rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001101001 - -1011101?\nAnswer: -10010000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from ndndnnmmdmnnnm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 j when three letters picked without replacement from zjijjzlvjkkl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901324 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*m + 883, 7*a = 10*a - 5*m + 2647. Let i = a + 2229. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*q - 9 = 0, -c - q - 5 = -6*q. Solve 3*h - 13 = -2*r + 4*h, c*r - 4*h - 37 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46046470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*f**3 + 3*f**4 + 3 - 3*f**2 - 7 to the form l*f**3 + g + m*f**2 + i*f + a*f**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 170*i + 6025. Determine u(-55).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = -2*p. Let w(k) = k. Give w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231122.\nAnswer: 2, 115561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4+20767635\nAnswer: 20767631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26061 and 179902149.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 4)*(2*d + 2 - 2) + (54 + 25 - 9)*(-8*d - 2*d - 3*d) in the form q*d + u and give q.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + -3.07. Suppose -5*d - 2*r + 3 = 0, -8 = 2*d - 7*d + 3*r. Which is the nearest to q? (a) d (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140132025 + -1?\nAnswer: 140132024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foofqffzzzhfff. What is prob of picking 2 z, 1 o, and 1 f?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (13200\/(-336))\/11 - 3\/(15\/(-5))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 189129, 378304, 567513, 756756, 946033, 1135344?\n\"Answer: 17*j**2 + 189124*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 15*o**2 + 15*o + 23. What is the units digit of w(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -283*c**6\/30 + 279*c**2\/2 + 212*c. Find the first derivative of b(o) wrt o.\nAnswer: -1132*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 42. Solve -w*h + 15 = -7*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 + 61*o + 20. Let u(d) = 22*d**2 - 186*d - 54. What is -3*u(f) - 8*w(f)?\nAnswer: -10*f**2 + 70*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*2)\/(sqrt(33)\/sqrt(3)*5))**2.\nAnswer: 128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3595 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 2 w when four letters picked without replacement from wwyifnonfywnnnifnnwn?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112382, -449557, -1011514, -1798253, -2809774?\nAnswer: -4046077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 x when three letters picked without replacement from {d: 3, y: 1, x: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3007\nAnswer: 5\/3007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-3)\/(-6) + 5. Suppose -t*s = 2*s - 135. Suppose 0 = -5*c + 6*c - s. Calculate the highest common divisor of 27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 18 = w, 2*w - 5*y = -y - 24. Let h(f) be the first derivative of -f**4\/4 - 4*f**3\/3 + 7*f**2\/2 + 9*f + 4. What are the prime factors of h(w)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518162*b**2 + 20360*b - 200 = 0. Calculate b.\nAnswer: 10\/509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438195, -438211, -438227, -438243?\nAnswer: -438259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1028, -1009, -906, -677, -280, 327?\n\"Answer: 7*m**3 - 30*m - 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 12. Suppose -3*j = -j - i. Solve g + j = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**24*(v*v**(-8))\/v*((v*v**27*v)\/v)\/(v\/(v**(-3\/10)*v)) assuming v is positive.\nAnswer: v**(447\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 7) to base 3\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 64. Let m(h) = 52*h**2 + 10*h. Let u(p) = -21*p**2 - 4*p. Let b(y) = 2*m(y) + 5*u(y). What is g(b(w))?\nAnswer: 3*w**4 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 918.612 minutes?\nAnswer: 55116.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-2) + 1)\/((-135)\/(-20070)). Let d = 430 + y. Is 48 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2758731*n**3 - 37*n - 1597?\nAnswer: -16552386*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46859 is divided by 455.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let c = r + 1. What is the second derivative of m**c - 4*m**5 + 7*m**5 + 2*m wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2203865 + 0?\nAnswer: 2203865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35633 and 15797.\nAnswer: 562894501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368721 and 9699.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 166958887 and 166958892 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/7 and -9\/46484.\nAnswer: 325388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*f + 3, 0 = f - 4*w - 397 + 382 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428550039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270248110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-15) - 40\/(-12). Suppose -4*a + 127 = r*o - 85, 4*o = -3*a + 207. Let z = o - 48. Solve z = -l + 4 + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 2*k + 9. Calculate q(-8).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-114 + 24*b + 114) - 3*b + 3*b - b + (3*b - 2*b - 3*b)*(3 - 2 - 2) + 8 - 8 - 3*b + 9 - 9 - 7*b.\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 11*a. Let v(n) = 2*n + 141. Let i(t) = t + 47. Let l(m) = 17*i(m) - 6*v(m). Let g be l(10). Suppose 44 = -g*k + 7*k. What is x(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/48 + 2\/(-12). Let c be (-2)\/30 - 2\/6. What is the closest to -1\/2 in z, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**3 - 437890*a**2 + 26232900*a - 393291000.\nAnswer: 5*(a - 30)**2*(3*a - 87398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -1843\/15. Let c = -2.73868 + 3.73868. Let b be -2 + (1 - 1\/(-5)). Put b, c, 3\/4, f in ascending order.\nAnswer: b, f, 3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = -6*d + 12*d. Calculate the highest common factor of d and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 11*g - 32, 0 = -2*s - 2*g - 159 + 163 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - c - 2, -c + 3 = 0. Find the second derivative of 10*n + 4*n**v - 26*n**5 + 10*n**5 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8087, 1, -6.3, -0.1 in increasing order.\nAnswer: -8087, -6.3, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 619 = -18*r + 19*r, -r + 1241 = 4*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 278.6 - 278. Let f(p) = -p**3 + 5*p**2 + 6*p + 2. Let k be f(6). What is the second biggest value in 0.3, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -33, 2153, -3 in increasing order.\nAnswer: -33, -4, -3, -0.1, 2153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1482, 1486, 1492, 1500?\n\"Answer: u**2 + u + 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3005 and 3606?\nAnswer: 18030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1, -4, 3\/2, -0.6, 5, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*t = 28*t - 14*t + 200. What is the remainder when 252 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmmmmmhm. Give prob of sequence mh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 131 = 121. Suppose -5*d = 4*h - 5 - 1, 0 = -3*h + 5*d - 13. Let g be (20\/8)\/(h\/(-2)). Solve -g*k - 6 = o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12548 + 35.\nAnswer: -12513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g + 7 + 6*g - 18 + 8 + 8*g**2 + 6.\nAnswer: 8*g**2 + 28*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/77040)\/(132\/990).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d - 3*d**4)*(-d - 3*d + 3*d) + d**5 - 4*d**5 + 2*d**5.\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**4\/4 - 6*d**3 - 17*d**2\/2 - 28*d + 17. Let o be p(19). Solve -r - o = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 192890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -895768 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39954 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 132522225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - -21165?\nAnswer: 21145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-6)\/r)\/r**3)\/((r*(r**0\/r)\/r)\/(r*r**(-4\/5)\/r)))\/(((r*r**(-3))\/r)\/(r*r*r*r**1))**(-1\/46) assuming r is positive.\nAnswer: r**(-2289\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 2 (c) 10\/7 (d) -322\/5 (e) -0.4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592587896.\nAnswer: 2, 74073487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1970\/(-20) + -14)*(-84)\/(-189).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26713, 34967, 43221, 51475, 59729, 67983?\n\"Answer: 8254*r + 18459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162696 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21251 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213132203 (base 4) to base 2.\nAnswer: 100111011110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 + (-44)\/11)*1\/(-1). What is the least common multiple of 624 and (76\/x + -3)\/(1\/20)?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -80437*x + 80430*x + 0 + 0 + 0. Let b(y) = -6*y**2 - 2*y - 2. Let t(q) = 6*q**2 + 3*q + 3. Let c(u) = -6*b(u) - 4*t(u). Give c(w(z)).\nAnswer: 588*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 459*x**3 - 28*x**4 + 31*x**4 - 2*x**2 - 2 - 478*x**3 to the form i + s*x**2 + r*x + a*x**3 + n*x**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 488668133 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 187*l - 18. Let w = 237 - 236. List the prime factors of f(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 2*(-100)\/(-8). Differentiate 3 + k - 10 + 16*r**4 + 0*r**4 with respect to r.\nAnswer: 64*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -664*g*i*n**5 + g*i*n + g*n**4 + 2126*g*n**2 - i*n**2 wrt n?\nAnswer: -39840*g*i*n**2 + 24*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -1\/12*f**5 + 3*f**2 + 0*f**3 + 0*f + 0 + 0*f**4. Let j(l) = -l. Give j(v(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51854 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010010010 + -100?\nAnswer: 101101010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72956 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734 a factor of 22580148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -2 (c) -2\/9 (d) 1\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113831450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1172423896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 21, 48, 89, 150?\n\"Answer: x**3 - 2*x**2 + 18*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2. Let q(o) = -29*o + 2. What is q(v(b))?\nAnswer: 87*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 466 - 708. Let v be b\/(-7) + 18\/42. Is 34 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*r**2 - 945*r**2 + 1303*r**2 + 1476*r**2 + 763*r**2.\nAnswer: 2903*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 2*i = 19*q + 14, -3*i = 3*q + 6. What is the smallest value in -2\/19, -30, q?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8*r = 117. Let y = -16 - r. Suppose 4*v + y = 5*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.057 and 5642047741.\nAnswer: 5642047741.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 22 = -4*p, 3*p - u - 2*u - 21 = 0. Suppose l - p = -2. What are the prime factors of (44\/l)\/((-4)\/(-6))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(-1\/5)\/r)\/r))\/r**9)\/(r**(-2\/9))**39 assuming r is positive.\nAnswer: r**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348914 (base 10) to base 15.\nAnswer: 6d5ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 27. Suppose -t = -8*a - 12. Is 8 a factor of a\/(2\/(-108)) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -66.25. Let l = i + -8. What is l rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (32\/(-6) - -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 4)*(0 + 0 + h)*(-1 - 1 + 3)*(-2*h**3 + 53*h - 103*h + 56*h) in the form p*h + v + r*h**4 + l*h**2 + w*h**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 63, 136, 211, 288, 367, 448, 531?\n\"Answer: c**2 + 70*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2270493494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(w**2 - 2*w**2 - w**2) + 0 + w**2 + 0 + 4*w**2 + 0*w**2 - 2*w**2)*(w**3 - 3*w**3 - 2*w**2 - 2*w**3).\nAnswer: -4*w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 4272, 59, -2 in increasing order.\nAnswer: -4, -2, 1, 59, 4272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0283056 days?\nAnswer: 2445603840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2558\/11 - 232. What is the closest to 0 in 0.5, -10\/7, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/9)\/y*y*y*(y*y**(-1\/15))\/y*y)\/(y*y**(-1\/2)*y)**(-3\/2) assuming y is positive.\nAnswer: y**(913\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -266, -247, -228?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115609627 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 63 = -3*w, -6 + 0 = -3*z. Let g be (-2)\/(-5) - (-92)\/20. Suppose 0 = -g*c - 4 + w. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 54*d - 304.\nAnswer: -2*(d + 8)*(d + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 8*q - 6. Let t be m(7). Let y(l) = l - l + 0*l - t + l. Determine y(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10043128 and 10043129 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1495\/44 - -250\/11. Calculate the common denominator of -23\/9 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k - 37*k + 28*k - 41*k + 21*k.\nAnswer: -71*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 7*y**2 + 7. Let r(t) = -t**3 + 1. Let i(n) = -2*q(n) + 14*r(n). What is the third derivative of i(c) wrt c?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20319 divided by 6\nAnswer: 6773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 0 + 0*u**2 - 3 - 6*u - u**2 - 1. Let z(q) = q - 2. Let s be z(-4). What is m(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -776, -1385, -1990, -2591, -3188?\n\"Answer: 2*n**2 - 615*n - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8 + 8290*n - 4146*n - 4151*n. What is q(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.1 + -7.9. Put 0.5, -5\/6, q, 2\/13 in ascending order.\nAnswer: -5\/6, 2\/13, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103302 is divided by 17211.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12222 is divided by 116.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 203728 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 - 15*l**2 - 20*l + 15. Let w be p(14). Suppose 2*r - 1293 + w = 0. Let o = 16840\/9 + r. Find the common denominator of -43\/3 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 512 and 10528.\nAnswer: 168448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 12. Suppose 0 = 5*y - m*y - 68. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16254434*w - 8127218*w - 21 - 8127214*w.\nAnswer: 2*w - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114 by -6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4987.738 millilitres in litres?\nAnswer: 4.987738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-2) - 25\/10. Let h(i) = -3 + 335*i + 3*i**2 - t - 345*i + 2. List the prime factors of h(10).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7014 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121\/(279752\/1088)*(-6)\/(-8)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 185\/3 (b) -438 (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzgglppgplkggkgjkkgg. Give prob of sequence lk.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 3*j**5 - 2*j**5 + (-4*j**4 + 6*j**4 + 0*j**4)*(2*j - 2 + 2) + 0*j**5 + j**5 - 3*j**5 + (11 - 20 + 19)*(165*j**4 + 16*j**5 - 165*j**4).\nAnswer: 163*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 3 (c) 473\/16 (d) 6 (e) 1 (f) 257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -748*p - 1825*p + 62*p - 391*p to the form j + t*p and give t.\nAnswer: -2902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38*82*6\/246.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-225*k + 225*k - 55*k**3)*(-2 + 5 - 2) + (k**2 + 3 - 3)*(0*k + 0*k + k).\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(270)*-1 - sqrt(270)))\/(sqrt(160) - (sqrt(160) - (sqrt(160) + sqrt(160)*-1*6 + sqrt(160) + sqrt(160))) - sqrt(160))*-1.\nAnswer: 27*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 400 (b) -5 (c) 357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17682082*1.2.\nAnswer: 21218498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3433.59710061 + 3433.635. Let a = f - 0.0379. Round a to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 + (-1)\/(-4). Suppose n*b + 1 = -w - 4*b, b - 2 = 2*w. What is the units digit of 2 + (-1)\/w - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 341628 or -6?\nAnswer: 341628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40734878885 and -20.\nAnswer: 40734878865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.22 + 0.14. Let f = -23.36 + t. Let w = f - -19. Which is the nearest to 0.3? (a) w (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26720147 and -1.\nAnswer: 26720147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from dcdfadt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 2*p - 3*p)*(863 + 1089 - 812) to t + o*p and give o.\nAnswer: -3420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3\/3 + 202*a**2 - 402*a + 602\/3 = 0?\nAnswer: 1, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*d - 2055, -2*d - 3*u = -4*u - 1370. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 2511.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21.2 - 9.079\nAnswer: -30.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760309 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**5 + 80*t**4 - 285*t**3 - 250*t**2 + 1060*t - 600 = 0.\nAnswer: -2, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 9:07 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*((4 + sqrt(891))*2 - sqrt(891)) + -2)*5)**2.\nAnswer: 3060*sqrt(11) + 23431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 9*d - 19, 2 = 11*d - 9*d - 2*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/5)\/w*w)\/(w\/(w**(-4)*w))*(w**1)**(-1\/28) assuming w is positive.\nAnswer: w**(-453\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75696 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**6\/15 - 8*b**5\/25 - b**4\/2 - 4*b**3\/15 - 338. Factor y(a).\nAnswer: -2*a**2*(a + 1)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:27 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 41. Suppose 0 = -2*h + 3*c + 356, -3*h - 2*c = -o*c - 534. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.0637 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f - f)*(4 - 2 + 10 - 2 - 4 + 5 + (-3 + 0 + 1)*(3 - 3 + 1) + 6 - 4 - 3 + 4 - 5 + 2).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Let g(l) = -5*l**2 - 55110*l. Give j(g(u)).\nAnswer: 10*u**2 + 110220*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -675, -554, -431, -306?\n\"Answer: q**2 + 118*q - 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 8:35 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 29 + 155. Suppose -5*h = -d - 9. Let i(q) = q**2 - 6*q + 15. List the prime factors of i(h).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 + 2*d**3 - 3*d**3 - d + (2*d**3 + d**3 - d**3)*(-2 - 5 + 4) in the form u*d**2 + k*d + g*d**3 + a and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 7241260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11169, -22368, -33567, -44766, -55965?\nAnswer: -67164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1195 + 1195. Solve -3*t = 3*r, z*t + 2*t - 9 = r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 20815725.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 89*l + 964. What is the lowest common multiple of h(-12) and 138?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*u - 10*u + 2, 0 = 3*u. Let x = -7472 - -7472. Sort -3, x, a, 1 in decreasing order.\nAnswer: 1, x, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/98020 and -129\/85375420?\nAnswer: 85375420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.7 in -13, 2, -2\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*p - 184 + 177, 0 = -p + 4*d + 22. Suppose 5*z - z - 20 = 0, 0 = -5*h - z + 15. Solve 0 = -p*j - m + 3, h*m - 9 = -5*j + m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 + 13. Calculate k(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501\/(-14) + 33\/(-154).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 - 13*z**2 + 11*z - 76. What is the tens digit of c(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113426 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-2)\/56)\/((-6)\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -18 - -18 - (-17 - 3). Solve -o*w + 22*w = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 4, m: 1, a: 5, l: 6}. What is prob of picking 3 f and 1 l?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 2*n + 491*n**2 - 496*n**2 + 3 - n. Calculate k(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y - 75 = -28*y. Let z = y - -109. What is the lowest common multiple of z and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94924607.\nAnswer: 43, 2207549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 45. Let o be l(23). Let a = -201\/7 - -29. Is a at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6147.7527 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/4)\/((-18)\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*p + 836*p - 30 = -7*l + 24, -4*p + 31 = 5*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from qkovk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 44*u - 13. Let f(p) = -p + 9. Calculate f(s) - x(s).\nAnswer: -45*s + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000189990264 rounded to seven decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 1 h when three letters picked without replacement from rrhrhrypdeeyphh.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1119182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.0982 grams in micrograms?\nAnswer: 38098200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2277 = -4*w - 4*t + 2317, -13*w + 80 = 3*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2861824 and 1226496?\nAnswer: 8585472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.8, 2, 3, -3\/8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:30 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/24 and -89\/928?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9187 + -9184.7124. What is u rounded to two decimal places?\nAnswer: 2.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxeqxxxeq. Give prob of sequence xq.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c**2 + 3*c - 3. Let b(y) = 9*y**2 + 2*y - 2. Let n(g) = -3*b(g) + 2*l(g). Let t(x) = -x. What is t(n(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*k - 9989 + 23299 + 16390 = 0 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-53 + 46)*-10*(-2)\/(-14). Solve j*o = 33 - 83 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8 - 10*j + 3*j**2 + j**2 - 3*j**2. Is l(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4454995, -4454998, -4455003, -4455010, -4455019, -4455030?\n\"Answer: -x**2 - 4454994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c + 2?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8268)\/(-20))\/(2\/(-5)). Let y = -30823\/30 - n. Let s = -3566509\/90 + 39629. Calculate the common denominator of s and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3639 - 14645\/4. What is the common denominator of m and -1\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 408236650.97326?\nAnswer: 408236645.97326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 35874 times -4\nAnswer: -143496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -6. Let u be 15\/(-156) - 2\/b. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*v)*(-2*v**3 - 2*v**3 + 5*v**3) + (-10*v - 45 + 45)*(-3*v + 3*v + 2*v**2)*(5*v - 2 + 2).\nAnswer: -102*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-4 - (-21 - -1)) + (-13 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4 - 4804*v**3 + 1328412*v**2 + 69643924*v + 68310704 = 0. What is v?\nAnswer: -44, -1, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 g, and 1 m when four letters picked without replacement from myygogoomcyyyymymop?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123103\/19 - 6481. Find the common denominator of ((-9)\/(-20))\/(14688\/224400) and f.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37044\/(-72))\/(-49) + -18\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - 2.8. Which is the second biggest value? (a) m (b) -0.07 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -18 + 2141*o + 1645*o + 331*o. Is y(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:06 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 490?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12748288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 19*f - 903. Let t be h(49). Solve 0 = 2*n + 12*x - 17*x - t, 4*n + 3*x = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 5, y: 1, g: 3}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6971487.\nAnswer: 3, 97, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455190 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 398 - 390. Let x(t) = t**2 - 7*t + 12. Calculate x(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 18*d - 13. What is the remainder when 18 is divided by z(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*k + 5*c - 38, -4*c = -20. Let o = k - -3. Suppose o*i - 2*i - 18 = 4*b, 30 = -5*b + 5*i. Sort b, 4, 5 in ascending order.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**6\/10 + 3*w**5\/10 + w**4\/4 - w**3 + 10*w. Factor b(x).\nAnswer: -3*x*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15406, -15471, -15578, -15727?\n\"Answer: -21*z**2 - 2*z - 15383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/45240 and -23\/15834.\nAnswer: 316680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23764 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.04 (c) 2\/9 (d) -300 (e) -1 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let c = 7 + -42. Let a(g) = -3*g**2 + g + 4. Let t(u) = -19*u**2 + 13*u + 24. Let j(h) = 6*a(h) - t(h). Determine c*v(l) - 5*j(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/184 and 17\/36.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(16\/6))\/((-840)\/(-448))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) 0.5 (c) -5 (d) -2\/7 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -9, 337, -2, 2, 0 in ascending order.\nAnswer: -9, -2, 0, 2, 24, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 10*w**2 - 11*w + 1. Let q(o) = -6*o - 4. Let y(z) = z**2 + 2*z - 2. Let m be y(-2). Let u be q(m). List the prime factors of s(u).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-3)\/q)*q**(3\/4)*q*q*q**16*q**(-5\/7))**(-5) assuming q is positive.\nAnswer: q**(-3225\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*n**2 + 179*n**2 - 30 - 95*n**2.\nAnswer: 2*n**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/((-3)\/24). Let t(w) = 10*w. Let q(n) = n**3 - 182*n**2 - 186*n + 567. Calculate the smallest common multiple of q(183) and t(r).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854992?\nAnswer: 2, 53437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 56*w - 162\/5*w**4 + 5742\/5*w**3 - 2528\/5*w**2.\nAnswer: -2*w*(w - 35)*(9*w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034794907?\nAnswer: 3, 226088323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/45 + 1\/5. Which is smaller: -1\/2 or t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 444 + 3. Let w = 444 - r. What is the second smallest value in -55, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, 1 in ascending order.\nAnswer: -26, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 60 + 62 = 0. Calculate the greatest common divisor of 53 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13902.84625 to the nearest integer.\nAnswer: 13903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let c be (-8)\/24*(30\/9)\/(-5). What is the biggest value in z, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 243 - 243. Let c(f) = -23*f + 7. Let y be c(l). Solve 2*i + y = -3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-13 + -1 - (20 - 46 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 - 6 - 1 + 4 - 5 - 2 + 2 - 1 + 2 + 0 - 3 + (3 - 2 + 0)*(2 - 1 + 0))*(-1 + 10 + 14)*(-22 - 24*d + 40 - 20) to the form f*d + v and give f.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 2*f**2)*((1 + 1 + 0)*(1 + 1 - 1)*(3 - 4 + 0) - 4 + 2 + 4 + (-4 + 1 + 4)*(-2 + 5 - 2)) + f**2 - 58*f**2 + 21*f**2.\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 27 - 27 = 0. Suppose r = -2*f + 4*f - 10. Suppose 2*b - 4*y - f = 11, -3*y = 12. Is b <= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7301384*t**4 + 327696652*t**3 - 4839885810*t**2 + 29634932225*t - 65162412625 = 0. What is t?\nAnswer: 1415\/194, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-2))\/((-3)\/(-12)). Let h be (-3)\/((-11)\/m - -1). Let a(x) = x + 7. Is a(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1890 - -2526. Is d a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5523 and 1303691?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58585*k**6 - k**4 + 4*k**3 - 3*k**2 - 1229237*k wrt k.\nAnswer: -7030200*k**3 - 24*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.06, -0.0661, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1679071 bigger than -1679062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1094*r**5*y - 24293*r**2*y**3 + r*y**3 - 17367*r*y + 13*r + 6*y**2 + 2*y + 1 wrt r.\nAnswer: 21880*r**3*y - 48586*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004981 is divided by 1249.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -141, -1, 21, -2 in increasing order.\nAnswer: -141, -2, -1, 21, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 294083 to the nearest one thousand.\nAnswer: 294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.507 in -5, -1, 1\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 1961409?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*l - 2*l. Let h = l - 1. Let v = h + -7\/2. Put v, 5, 0.2 in decreasing order.\nAnswer: 5, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0*q**3 + 0 - 1\/12*q**4 + 0*q**2 - 9*q. Let w(a) = -a**2. Determine j(w(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**6\/270 + w**5\/45 - w**4\/18 + 2*w**3\/27 - w**2 - 50*w - 113. Let j(i) be the second derivative of a(i). Solve j(t) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828601 (base 11) to base 13.\nAnswer: 376c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23733446 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*g**3 + 253*g**3 - 204*g**3 - 145*g**3 + 5838*g - 7*g**2 wrt g.\nAnswer: -1308*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 3*q + 3. Let g(l) = -l**2 - 2*l + 2. Let f(r) = -3*g(r) + 2*v(r). Let k(j) = -5*j**2. Give f(k(o)).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*i - 4. Let w(f) = -2*f + 4*f**i - 9*f + 15*f. Let k(c) = 2*c. Give w(k(r)).\nAnswer: 16*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/2 + 687*c**2\/2 + 9840*c - 877482 = 0. Calculate c.\nAnswer: -58, 41, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*z - 205, z + 3*a - 16 = 36. Suppose 2268 = 39*y - z*y. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -339.7 * -0.1.\nAnswer: 33.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 422 - 346. What is the highest common factor of 1026 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwp when three letters picked without replacement from pppppwwwpppp?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyp when three letters picked without replacement from {y: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6.255 + 38219.317258\nAnswer: 38213.062258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let d(n) be the second derivative of 1\/12*n**4 + 0 + 2*n + 0*n**3 - 1\/10*n**5 + 0*n**u. Find the third derivative of d(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -58, -89, -118?\n\"Answer: p**2 - 36*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + sqrt(72)\/sqrt(9)*5*-6*6 + -3)*5)**2.\nAnswer: 14400*sqrt(2) + 6480016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**3\/6 - 2*r**2 + 6*r. Let v be w(-4). Solve v = -b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21453479106726.5 and 0.4.\nAnswer: 21453479106726.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2*(-1)\/2). Let n = j + 4. Let z = 3 + -7. Sort z, 1, n in decreasing order.\nAnswer: n, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:20 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 3:42 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315215 is divided by 8678?\nAnswer: 2807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3*w + 20. Let l = 121 - 105. Suppose 2*t + 8 = -2*t, -4*q + 2*t + l = 0. Calculate the smallest common multiple of w and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - r - 2559, 5*y - 3*y = 4*r + 1020. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.02 (c) -4 (d) 0.2 (e) -3\/4 (f) 0.87\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/12)\/(45\/(-27)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17 - (-141)\/9 - (-8)\/6. Let a = -6 - -2. Let o = 7 - 4. What is the biggest value in a, o, 0.1, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, g: 2, n: 5, o: 3}. What is prob of sequence onnz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 - 2*p + 2. Let y(k) = 16*k**3 - k**2 + 11*k - 11. Give 11*c(w) + 2*y(w).\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216.1142l to millilitres.\nAnswer: 216114.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2\/(-6) - 0). Let d(g) = -g**3 - 2*g + 2. Is d(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3523346 (base 7) in base 15?\nAnswer: 8b3ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2995 + -2990. Let l = -6 - -5.6. What is the second biggest value in m, -23\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 2*k**2 + 44*k - 32. Let d be g(-8). Is d less than or equal to -29\/781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4 = -2*z. Suppose -z*i = -7 + 1. Is 0 + (9 - (i + -1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7713d (base 14) to base 16.\nAnswer: 46673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 6, -5\/31, -3, 1366 in descending order.\nAnswer: 1366, 6, 0.5, -5\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/120 and -67\/904?\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*z = 92*z + 412*z - 4170 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7865 is divided by 97.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/35))**(-8\/5) assuming g is positive.\nAnswer: g**(16\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - (-575)\/69)\/(1\/(-561)). Which is bigger: m or -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 8. Let r = z - -17. Let g be (-2)\/(-2) - 27\/r. Which is smaller: -3\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 - (4 + 0 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181*z = -690*z + 15259 + 453 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5\/18, 0.3, -61, -6?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihiihdiiihiihyiiihi. Give prob of picking 3 h.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 44*s**2 + 89*s + 189. Give j(-42).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1606.7 + 1606. What is the nearest to -1 in u, 0.5, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**3 + 0*g + 0 - 1\/20*g**5 - 3*g**2 + 0*g**4. Let l(w) = -2*w**2. Give l(s(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + ((64*-1)\/(-4) - -5) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 99 - 369 = 0. Let j be ((-169)\/x)\/(80\/(-6)). Let s = -5\/24 - j. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17225 and 87503.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -122328 - -8?\nAnswer: -122320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**3 + 779*n**2 - 1696*n + 2635. Give u(-132).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15551244 - 2?\nAnswer: -15551250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((32\/(-12))\/(-4)). Solve d*m + 8 + 3 = r, 0 = 3*r + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -47*k**3 - 25*k + 34. Let d(y) = 96*y**3 + 49*y - 75. What is -5*d(o) - 11*h(o)?\nAnswer: 37*o**3 + 30*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 200*r**2 + 0*r + (-3 + 3 + 2*r)*(-1 + 1 - r) - 71 + 0*r**2 + 3*r**2 + 69 to the form w*r + q + g*r**2 and give g.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33e2 (base 15) in base 4?\nAnswer: -2230010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467 - 4*r + 467 - 12*r**3 - 80*r**3 - 77*r**3.\nAnswer: -169*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-418768)\/(-21))\/((-10)\/(-15)).\nAnswer: 2, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 642582, 642595, 642610, 642621, 642622, 642607, 642570?\n\"Answer: -z**3 + 7*z**2 - z + 642577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 1959*c**5\/8 + 5871*c**4\/2 - 13857*c**3\/4 - 146841*c**2\/2 - 531525*c\/8 + 825 = 0. What is c?\nAnswer: -11, -5, -1, 8\/653, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 370 = 5*q, 5*q - 3*d = 350. Let i(n) = 196*n - 555. Let r be i(4). Suppose l - 4*l + 5*y + r = 0, -l + y = -q. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 2\/9, -2\/11, 153, 0.4, 3\/44?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 763*r**2 - 4*r + 2. What is the remainder when q(1) is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qybbzyybmbmxzq. What is prob of picking 1 b, 1 y, and 1 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 25. Let o be n(7). Put -5, o, -1 in decreasing order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -494b (base 15) in base 6?\nAnswer: -200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2065566237 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from temmzejeemeef. What is prob of sequence jf?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 3*i + 4. Let f(h) = 4*h**2 - 2*h + 4. Let s(p) = -5*f(p) + 6*k(p). Solve s(c) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.289 rounded to 1 decimal place?\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000585755 rounded to six decimal places?\nAnswer: -0.000586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 4. Let a be h(4). Let d be 329\/a - (-3)\/(-12). Which is greater: -11 or d?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12*n - 11*n = 0, -13*n + 85 = -3*q - 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**2 - 66*b**2 - 5*b**2 to the form k + c*b**2 + o*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = 9. Let m be (20\/(-12))\/((-1)\/q). Let l(n) = n**3 + 6*n**2 + 4*n + 4. Determine l(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -107 - 8*z + 48 - 5*z + 8*z + 56. Let h(o) = 4*o + 3. Give 5*h(w) + 6*m(w).\nAnswer: -10*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 less than -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34293 and 89209512?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 11 = 3*s, 0*s = 3*k - 3*s + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 826*m. Let b(c) = 3340*c. Determine b(t(k)).\nAnswer: 2758840*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*l**2*q - 84*l*q + 2*q - 902 wrt l?\nAnswer: -12*l*q - 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) 2 (c) -55 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*p = 438 + 1418, 0 = 2*p - 2. Let x = 447 - 8203\/9. Let a = i - x. What is the common denominator of -109\/10 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/524 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8300 and 249?\nAnswer: 24900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:48 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 157486980 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-16)\/(-5))\/(50\/1000)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2 - m + 1. Let l be f(-3). Let i = 725.9 + -726. Are l and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/32 and 13\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and -30?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1054.73\nAnswer: 1057.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 11.\nAnswer: 52\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011058 rounded to seven decimal places?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 3, 7 in increasing order.\nAnswer: -5, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*p**3 - 2*p + 5*p**2 - 15*p**3 - 2 - 5*p**4 + 72*p**3 - 6*p**2 - p to r*p**4 + b*p + o*p**3 + j*p**2 + n and give o.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 197da (base 14) to base 16\nAnswer: fca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1272)\/160 - -8)\/(3\/5)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s*(s\/s**(-29\/2))\/s*s*s*s)\/s*s*s)**(-1\/2) assuming s is positive.\nAnswer: s**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 - (-2 - (0 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m - 8. Let t(v) = -15*v**3 + 2*v**2 - 5*v - 10. Let a(u) = 12*u**3 - 2*u**2 + 3*u + 7. Let p(n) = 4*a(n) + 3*t(n). What is p(m)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, -4, 1, -2 in descending order.\nAnswer: 14, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5181 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 - b**3 + b**3)*(237 + 31 + 56 + 431 + 232).\nAnswer: -987*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**3 + 2*p + 1. Let f be g(-1). Let t(u) = 4*u**2 + 2*u - 1. Let i be t(1). What is the second derivative of 4*c - f*c - c**i + 3*c wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6.6. Let c = 2.6 - j. Let q = 2.00000017 - c. Round q to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + 3.9. Let r be 4\/(-6) - (-2188)\/(-9). Let t = -244 - r. What is the nearest to -0.2 in -3\/5, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*v - 1215 = -2193 - 4174 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 1\/72, 5, -3?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 1, y: 3, w: 2, e: 2, u: 1}. What is prob of picking 1 u and 1 w?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383, -778, -1171, -1562, -1951, -2338?\nAnswer: -2723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m - 7. Let k be n(4). Let b = 36 - 20. Calculate the remainder when k*(-3)\/(-6)*-2 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26989 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*k = 95*k + 139*k + 6*u - 2, -2*k + 7*u = 2*u - 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2372358 and 48.\nAnswer: 18978864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-4)\/(-5))*(-120)\/(-16). Let i(t) = 72*t + 26. Let w(n) = 108*n + 39. Let r(h) = 7*i(h) - 5*w(h). Is r(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -2*g + 6*g + 4, 3*o = -g - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/7284 and -143\/108.\nAnswer: 65556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2813, 3, 5 in ascending order.\nAnswer: -2813, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Let j(h) = h**2 + 12*h - 4. Let b(w) = -3*w**2 - 35*w + 11. Let s(v) = n*b(v) - 11*j(v). Find the second derivative of s(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*j + 880*j = -63 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3324553.\nAnswer: 941, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/15 - -7\/15. Suppose 4*f = 3*i + 19, 3*f + 2 = -5*i + 4*i. Let h = -37 - -37.1. Which is the fourth smallest value? (a) z (b) h (c) -0.5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-252))\/((-331)\/(-709002))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 7*f**2 + 7*f + 3. Let v = 45 + -36. Let l be v*1 + 9\/(-3). Determine u(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*f - 1 - 1 = 0, 4*f + 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6106 - -6112. Solve -3*k - 15 = 0, b*o + 5 = o + 3*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 8:05 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/(-6)*39\/117)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -144\/5 - 2\/5*b**2 + 44\/5*b.\nAnswer: -2*(b - 18)*(b - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2\/13, -0.07, -235375?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -95, -205, -315, -425, -535, -645?\n\"Answer: -110*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 27 = 7*y. Let k(n) = y*n - 3*n - n - n. Let p(f) = -6*f**2. Calculate p(k(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.38 + 1.98. Which is the biggest value? (a) l (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 316*x = -312*x + 12, -k - 4*x - 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-21))\/((-20)\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(108) + sqrt(108)*3 - sqrt(108) - sqrt(3)) + sqrt(3))**2.\nAnswer: -108*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**3 - 3*r**2 + 10*r + 2. Let z(y) = y**3 + y**2 - y. Let d(i) = -h(i) - 6*z(i). Is 2 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 631*t - 18272. Let h(y) = -y**2 + 6*y + 7. Let b be (-10*1)\/(1 - 3). Calculate the least common multiple of h(b) and i(29).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001569207 rounded to six decimal places?\nAnswer: 0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4220046 divided by 18\nAnswer: -234447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 3. Let w(z) = 5*z + 7. Let c be w(4). Let l = -7 + c. Calculate the lowest common multiple of m(-3) and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (-3 + sqrt(99)*-3)) + 0 + -3*(sqrt(99) + 0) + -3*(sqrt(99) + -2*sqrt(99)) + -3)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18.7 * 67\nAnswer: -1252.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.3 + -4.7. Let o = n + 11. Put 0.3, o, -3 in increasing order.\nAnswer: -3, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162608775 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*w + w**2 + 26*w + 3*w**3 + w**2 to the form x*w**2 + y*w**3 + j + t*w and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 11*p**2 + 10*p + 10. Let v(q) = -q**3 + q**2 + 9*q + 1. Let n be v(-3). Determine l(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 8 = -7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(363) - (-2 + sqrt(363) + 5))*-5 + (sqrt(363) + 3)*-1*6) + -2)**2.\nAnswer: 2112*sqrt(3) + 52336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-24))\/((-62)\/16). Let j(w) = w**3 - 23*w**2 - w + 24. Let b be j(23). Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b. Let u(l) = 18562*l**2 - 12*l. What is x(u(a))?\nAnswer: -241306*a**2 + 156*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*o + 1251, q + 5*o = -4*q + 2135. Suppose 5*a - 2*p - 307 = 119, -5*a = -4*p - q. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*u = -4*i + 20, 2*u - 10 = i. Determine f so that -25\/2*f**2 + i + 0*f - 1\/8*f**4 + 5\/2*f**3 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -d + 12, -2*d - 5*n = 3*d - 160. Calculate the remainder when (1 - 219)\/(-2) + 0 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-25)\/(-30))\/(1\/6). Suppose 10 = j*s, 3*b - 3*s - 25 = -7. Let i be b\/(-40) - 22\/(-10). Solve 5*w - t - 1 = -6, i*t + 4 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 - -2 - 1 - (-9 + 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p + 57*p = 277*s + 1088, 2*p - 2*s = 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-47)\/4 + 2\/(-8). Let y be (179097\/(-2))\/(u\/32). Let p = 761204 + y. Round p to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11189166629\/1464 + -7642873. Let f = 1\/183 - w. Let k be 2 - ((-38)\/(-42) - -1). What is the closest to 0 in -0.1, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Suppose -o - 788 = -2*i + 716, -5*o = 2*i + 7580. Is o\/(-22) - x\/(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = z + 5*i, -35*z - i + 40 = -33*z - z for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 4*k + k + 5*w, -2*k + 8 = -3*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let w(m) = 3731*m**2. What is d(w(z))?\nAnswer: 27840722*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -g + 5, -s - 101 + 104 = 3*g. Is s equal to 60\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175160.1 + 505536.19.\nAnswer: 330376.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 130 + 169 = 0. Solve 15 = 19*z - x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -120*t**2 + 7*t - 10. Let q(r) = -60*r**2 + 4*r - 6. Let b(n) = 3*k(n) - 5*q(n). Let d(j) = -j**2. Determine d(b(g)).\nAnswer: -3600*g**4 + 120*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1801\/221 + 132\/17. Let n = 2\/39 + z. Let s be 50\/(-5)*1\/2. Which is the closest to n? (a) -0.1 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.16 (b) 1\/7 (c) -0.068 (d) 20 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -205814.\nAnswer: 102907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2731736.4 * -0.2.\nAnswer: 546347.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -36, -1, -4, 8\/8391?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5228 - 193.\nAnswer: -192.4772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-44)*-31 - -3. Let u be (-540)\/70 - (-4)\/(-14). Let h = u + 9. Which is the third smallest value? (a) 2 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 22 + (-271 - -207)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10044625.\nAnswer: 5, 107, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2460 - 2013. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4\/271, -53, 0, 1\/2, 170?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7403280033 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: Which is the biggest value? (a) -2\/63 (b) -189 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 201, 165, 135, 117, 117?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(25))\/(sqrt(320) - (sqrt(320) - sqrt(320)*1) - sqrt(5)) - ((4*-1*sqrt(500) - (0 + 0 + sqrt(500))) + -2).\nAnswer: 2 + 346*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 5*b**4\/12 + 5*b**3\/6 - b**2\/2 + 7*b. Is w(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebd when three letters picked without replacement from {b: 2, e: 1, d: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.323, 2.2, -1, 6, 1?\nAnswer: 0.323","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*y - 46, 2*u - u = 2. Suppose -4*j + y + 2 = 0. Calculate the greatest common divisor of j and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213310313 (base 4) in base 12?\nAnswer: 7a49b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-20)*16\/60.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 131679236?\nAnswer: 131679236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 496*s**2 + 2*s + 2. Let x be y(-1). Let n = x + -846. Calculate the common denominator of 79\/2 and n\/(-44) + (7 - 11).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234*v**6 + 40*v**4 - 261*v**2 + 41 wrt v.\nAnswer: -28080*v**3 + 960*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2256258, 2256318, 2256378, 2256438, 2256498, 2256558?\nAnswer: 2256618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (35 - (23 + -32 + 18))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 590, -1 in increasing order.\nAnswer: -5, -3, -1, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7839*s**2 + 676*s + 507. Let u(l) = -140*l**2 - 12*l - 9. Calculate -6*j(r) - 338*u(r).\nAnswer: 286*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3\/3 - 9*f**2\/2 + 4*f + 267. What is v(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120614*d + 265114*d - 144493*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10204131 (base 6) in base 10?\nAnswer: -296407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -260981274 and -26549?\nAnswer: 260954725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 28. Suppose 4*z = n*z. Suppose -4*w - 4*x + 84 = z, 64 - 4 = 2*w - 4*x. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from 351727.\nAnswer: 351726.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 962531, 3850317, 8663293, 15401459, 24064815, 34653361?\nAnswer: 47167097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0 + 23*i + 0*i**4 + 0*i**2 + 1\/4*i**5 - 1\/2*i**3. Find the second derivative of v(g) wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*k - 1, -23 - 1 = -w - k. Calculate the remainder when 45 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18466.82mm in centimeters?\nAnswer: 1846.682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 12:21 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/328608795 and 101\/3160?\nAnswer: 2628870360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.545 smaller than -21.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -d - 5*s, -d - 2*s = -7*s - 13. Let c = 0 + d. Let k(n) = 2*n + 2. What is k(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 494*f - 1805. Let s(t) = 43*t - 157. Let y(v) = -57*s(v) + 5*u(v). Let r be y(4). Solve -5*w - 29 = 2*h + 2*h, -w + 3*h - 2 = r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157*k - 853*k + 1034*k + 1138*k + 1436*k)*(-k**3 - 295*k**2 + 295*k**2).\nAnswer: -2598*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 277776 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28\/15 + -74\/45. Let b*j**2 + 0 + 8\/9*j**4 - 10\/9*j**3 + 0*j = 0. Calculate j.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*t - 140. Solve 5 = -5*h - t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 25 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - z + 730 - 725, 0 = i - z - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i. Let m(x) = 88*x**2. Calculate m(n(z)).\nAnswer: 2200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.35754 and -0.3?\nAnswer: 0.107262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q + 46\/3*q**3 - 1\/2*q**2 - 5. Is g(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -451*p + 452*p + 13, 26 = -2*p + t for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-15 - -15 - 19) + 26?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 + 414 = -5*h - 4*g, 2*h = -3*g + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -13, -1, 107, -7511 in ascending order.\nAnswer: -7511, -13, -2, -1, 0, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l - 6*l**2 - 5*l - l**3 + 1 - 4 + 9*l. Let u be m(-6). Solve u*v + 10 = 5*h, 5*h - 4*v - 18 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/114 - 4*j**3\/19 + 35*j**2\/19 - 233*j - 95. Let s(v) be the first derivative of z(v). Find x such that s(x) = 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 1 - (2 - 45\/(-10)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404996585 is divided by 5602.\nAnswer: 5597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 91, 1.2, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:15 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q**3 + 0*q**3 + 3*q - q**3 - 3*q + (0 + 0 + 2*q)*(3*q**2 + 0*q**2 - q**2) + 9*q - 3 + 11*q + q**3 - 21*q)*(-3*q + 4 - 4).\nAnswer: -18*q**4 + 3*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -2, -5, 5\/3, 3, 0.37 in increasing order.\nAnswer: -23, -5, -2, 0.37, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 34. Let u = 24 - b. Solve -4*y + y = -u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/24 - l**3\/6 - 2*l**2. Let p be u(-6). What are the prime factors of (18\/p)\/((-12)\/(-40))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 19. Suppose 2*w + 3*w - 105 = 0. Let k be o(w). What is the third derivative of -2*c**4 + 8*c**2 - 4*c**k + 15*c**4 wrt c?\nAnswer: 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**2 + 20*s + 4. Determine p(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 772967792 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**3*u**2 - 2*r**3*u*x + 8*r**3*x + 117*r**2*u**2 + r**2*x - 3*r*u**2 wrt r.\nAnswer: -6*u**2 - 12*u*x + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/945 and -23\/1215?\nAnswer: 8505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -33, -1\/6, -0.3 in decreasing order.\nAnswer: -1\/6, -0.3, -2\/5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17*b - 4. Let t be u(-3). Suppose 23 = 7*y - t. Solve -6*p = -p - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 23*n + 67162 = 29*n, 26866 = 2*k + 2*n. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, j: 3, o: 4, s: 1}. What is prob of picking 1 o, 1 j, 1 s, and 1 n?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-4)\/sqrt(2))\/sqrt(11)*-2 - ((sqrt(72)\/sqrt(144))\/((sqrt(24) + (sqrt(24)*2 - sqrt(24)))\/sqrt(4)))**2.\nAnswer: -1\/48 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106760 (base 10) to base 4.\nAnswer: 122010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30786.7 rounded to the nearest one hundred?\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 66.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 57. Let m be q(0). Let k = -33 + m. Suppose -z + k = -5*o, -3*z - 23 = -4*z + 4*o. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from ovqedei?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5074 - -5152. Suppose -l - 2 = -17. What is the remainder when z is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 30 = 2*n, 32 = 4*n + 6*i - 3*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9735*k**3 + 16*k*o + 291*o + 23 wrt k.\nAnswer: -29205*k**2 + 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50169.64 + 51010. Round s to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5463 and 4261.\nAnswer: 9724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + w**4 - w**4 + 0*w**4 - w**4 - w**4 + (-w**2 - w**2 + 0*w**2)*(0*w + w**2 + 0*w) + (5 - 1 - 2)*(w**4 - 2*w**4 - w**4).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -443*b**2\/2 + 212*b - 202. Find the first derivative of j(d) wrt d.\nAnswer: -443","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/15 - 7*d**4\/12 - d**3\/6 - 21*d**2. Let a be w(4). Suppose 608 = a*z - 281. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 370*f - 33. Let z be u(10). Let l = -932 + z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20360342 - 6?\nAnswer: 20360333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 2 + 2)*(3*a - 3*a + a - 2*a + 6*a - a - 3*a - 3*a + 4*a + (2 - 2 + 2*a)*(22 - 14 - 62))*(0 + 0 - 2*a).\nAnswer: -212*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/10 + (-1953)\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2892\/76 - 3) + (-147 - -111)?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a - 57 + 119 - 56 + 0*a in the form f + l*a and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403752 + -266.38.\nAnswer: -404018.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 59, 2 in ascending order.\nAnswer: -2, -1, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/66579 and 55\/579.\nAnswer: 12849747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/24 + 11*m**3\/6 - 2*m**2. Calculate the remainder when 3 + 6 + -5 + 0 is divided by s(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -258\/13 (b) 18 (c) 2 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*z - 2 = 0, -2*y = -y + 5*z + 13. Is 53*(4 + -1 - y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-150 + 107 + 75)*(-f**3 - 2*f**3 - 2*f**3) as m + s*f**2 + b*f**3 + v*f and give b.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2206 + -1073. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/11))\/l*l\/(((l**(-2\/7)\/l*l)\/l)\/l))\/((l**(-2\/7)\/l*l)\/l*l*l**(-1\/4)*l))**(4\/11) assuming l is positive.\nAnswer: l**(813\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 1. Let q be j(-8). Suppose -q = -2*p - p. Suppose 6 = p*b - 19. Solve b*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 337884 and 5286.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:25 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 5*j**3\/3 - 1978*j. Let v(s) = s + 58. What is v(u(m))?\nAnswer: 10*m + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3792 - 2?\nAnswer: -3794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + 3. Let s = -27 - -29. Let x(z) = 2 + s - 5. Let l(w) = -v(w) - 3*x(w). Let h(y) = -y**2. Give h(l(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8000 and 4320.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2182, -2739, -3536, -4573, -5850, -7367?\nAnswer: -9124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12011 + -5?\nAnswer: 12004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11726.\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16523?\nAnswer: 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 5, y: 13}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 185380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - (-5 - (-636)\/112). Suppose -4*a - 26 = -6, 5*w - 2*a - 1155 = 0. Let g = 3437\/15 - w. Do g and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -29752*y**2 + 12*y - 18. Let p be i(2). Let b = -20944435\/176 - p. Find the common denominator of -29\/8 and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43545 - 43541. What is l in -12\/5*l**3 - 2\/5*l**a - 24\/5*l - 26\/5*l**2 - 8\/5 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 29*p - 85. Let r be c(-14). Let q be (1 - -2) + -125 + r. What is h in 0*h - 10\/19*h**q + 0 - 2\/19*h**2 = 0?\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/11 - (-3)\/(495\/140).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*j + 5*l, 2*l = -3*j. Let f be 75 - (j - 3\/1). Suppose 0 = 3*s - 3, -5*a + s = 4*s - f. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -704 - 121 = -25*m. Let v(r) = 4*r - 2. Let j(i) = -21*i + 11. What is m*v(d) + 6*j(d)?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1303564, 0.04, 4?\nAnswer: 1303564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 976?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54\/(1 - 7) - -1572. Suppose -19*k = -22*k + 3*l + 1176, 0 = 4*k - 3*l - a. Calculate the remainder when k is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -26*q + 268 - 74. Solve -q*l = -1 - 21 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120637 - -51?\nAnswer: 120710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Let q(r) = 14*r**2 - 127*r + 2. Let x(o) = 3*q(o) + 6*y(o). Find the second derivative of x(u) wrt u.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2984\/9 (c) -43 (d) -203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-9 - (-38 - -6) - 7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131.00000148 - 131. What is h rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.3, 0.0059, 255.34 in descending order.\nAnswer: 255.34, 0.0059, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940 divided by 388?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12683, 12697, 12711?\n\"Answer: 14*c + 12669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.04+-4309.20838821\nAnswer: -4311.24838821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**3 - 2*s**3 - s**3 + (2*s**2 - 2*s**2 + s**2)*(-s + 4*s - 2*s) - 3*s**3 + s**3 + 3*s**3 - 111*s**2 + 111*s**2 + 2 + 15*s**3.\nAnswer: 19*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42203 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10))\/((-38)\/95)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 3. Let g be 4 + (-1 + 0)*0. What is the lowest common multiple of o(g) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, m: 1}. Give prob of sequence gk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11032 + 1293?\nAnswer: 12325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -p + 2*p - 2, o = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -19 (c) -73.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(1\/(-2) + -4 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m + 3727467 = 136*m - 4056007. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 10*s**2 - 3*s - 17. Let z be d(-10). Let b be 2\/3 + z\/39. Which is smaller: b or -4\/31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, -16, -67, -170, -343, -604, -971?\n\"Answer: -3*s**3 + s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 435\/9 - 4\/(-6). Let m = u - 34. Suppose 2*s = 5*s - m. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Let q(f) be the third derivative of f**5\/60 - f**4\/24 - 4*f**3\/3 - 9*f**2. Let p be q(y). Calculate the highest common divisor of 14 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 + 24*c**2 - 34 - 4*c**2 - 2*c**2 + 5*c**2 + (-1 + 1 - 2)*(-5*c**2 + c**2 + 3*c**2) - 4*c**2 - 8*c**2 + 4*c**2.\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 392?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/63)\/((-1)\/(-7)). Let a(s) = -2*s**3 + 4*s**2 - 2*s - 1. Let v be a(x). Let z = -0.1 - -0.1. Sort v, 1, z in descending order.\nAnswer: 1, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3)*(0*u + 2*u + 2*u) - 3*u + 0*u + u + (0*u - u + 0*u)*(-4 + 4 - 3).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 24.223.\nAnswer: 22.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 1. Let s(t) = -4*t + 2. Let h(u) = 2*n(u) + s(u). Let a(i) be the second derivative of -i**4\/3 + 11*i. Give h(a(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q - 11*q - 5*q + 56 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 588 divided by -2\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/25 and 53\/2085?\nAnswer: 10425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682963679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11)*q**(-5))**(-6\/11)\/(q**(-2\/7)*q*(q*q**(-2)*q)\/q)**(-4) assuming q is positive.\nAnswer: q**(1258\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51da - d4?\nAnswer: -52be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 180893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-65)\/30)*((-3)\/(-2))\/((-11)\/132).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2 + 9*a**2 + 4 - 4 + 3*a - 2*a. Let n be ((-2)\/4)\/((-8)\/(-32)). Is 12 a factor of u(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507011123?\nAnswer: 507011123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 65474\/10925 + (-14)\/175 - (-2 - -8)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112506839 and 398.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301\/2 + 7529\/50. Let a(b) = -b**2 - 148*b + 1249. Let p be a(8). Do p and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40104 divided by 40104.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 13*o**2 + 34*o - 3. Calculate the smallest common multiple of 314 and w(-3).\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/40)\/(1\/(-2)). Let j(y) be the first derivative of 0*y + 0*y**3 + 2 - y**2 + d*y**4. Solve j(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -29, -2, 6\/11, 106\/11, 4 in descending order.\nAnswer: 32, 106\/11, 4, 6\/11, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 13 - 23 = 3*v, -3*v = x + 45. Let f = v - -25. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5947*u**5 + 21204*u?\nAnswer: 118940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102*(-10)\/4*(-308)\/(-2310).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14*c. Let k(z) = -z. Let w(h) = 5*j(h) - 80*k(h). Calculate w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 6*z**2 + 3*z - 6. Let g be j(6). Let f be (-25)\/(-6) - (g - 8). Sort f, -3, 2 in ascending order.\nAnswer: -3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -659 and 0.3?\nAnswer: -197.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 10 = -2*v, -20 = 17*z - 14*z - 4*v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -374 and -14.7.\nAnswer: -388.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-2 - sqrt(114))*4)\/((sqrt(108)\/sqrt(2))\/sqrt(9)) + (3*sqrt(76)*-2)\/(-1*sqrt(4)*6).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/(h*(((h**(-1\/14)*h*h)\/h*h)\/h)\/h))**35\/(((h*h**(2\/11))\/(h*h**0*h))\/(h*h*(h**(1\/6)\/h)\/h*h*h**(-1\/6))) assuming h is positive.\nAnswer: h**(-530\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-2)\/(-123)) + 20\/40. Let t = -66 + z. Put -14, -1, t in ascending order.\nAnswer: -14, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2432283?\nAnswer: 3, 7, 115823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 20 = 2*a. Suppose -a*u + 0*u = -28. Solve 2*z + u = -3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1668 - 378. Suppose 0 = b - 4*b - i. Let m = 821 + b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1077469950 and 6920?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2088\/90 + -14 + -8. Which is the third biggest value? (a) -1\/45 (b) 3 (c) v (d) 0.1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/33))\/z**(8\/11))\/(z**19*z\/(z**(-34)*z)*z*z) assuming z is positive.\nAnswer: z**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*k = 64, -3*k - 2*k = s - 4. Let v = 3371 + -20225\/6. What is the fourth biggest value in 1\/3, s, -2\/3, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 5*b**2 + 5. Suppose 0 = -0*h + h - 6. Suppose 5*r + 5 = 0, h*r - 8 = -z + 9*r. Let m(p) = -p**2 - 1. Give z*m(j) + y(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -171 in -2, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254853 is divided by 143?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 7. Let q be 5\/(-2)*(-48)\/(-24). Give v(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spppsppupppsssu. What is prob of sequence pp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269 + -74. Calculate the highest common factor of 2847 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 5\/6*h**3 + 1\/60*h**5 + 0 - 1\/4*h**4 - h**2 - h. Let f(n) be the first derivative of b(n). Give f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -54. Suppose -5*m + 5*s + 166 = 16, 3*m - r*s - 85 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.8 - 0.6. Which is greater: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/7 - 151\/7*r**3 + 54\/7*r + 24\/7*r**4 + 16\/7*r**5 + 7*r**2 = 0. Calculate r.\nAnswer: -4, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(29\/4)*(s**(-18)*s)\/s)**(-36))**20)**46 assuming s is positive.\nAnswer: s**356040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + s = 22, -y + 2 = s + 7. Let f = -12 - y. What is the least common multiple of 8 and (-4)\/3 + (-40)\/f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 7, o: 3, n: 1, z: 2}. What is prob of sequence on?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkp when three letters picked without replacement from {k: 9, p: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -26*h**3 + h**2. Let i be g(1). Let j be 4\/10 + 60\/i. Which is smaller: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 22 = 0. Suppose 3*i - p = -4*c, -c + 14 = -i - 2*i. Calculate the remainder when 22 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112+2\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(33)\/(sqrt(108)\/sqrt(4)).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 255515 = -255494, 3*y - 2*z - 24 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7150 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 138 = h, -2*v + 2*h + 62 = -10. What is the highest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263307 divided by 1111.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -23*q**2 - 94*q + 194. Determine n(4).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8264877 is divided by 2649?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-84) + 5220\/(-28). Let x = m + 233. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.07216 rounded to 2 decimal places?\nAnswer: -10.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32846652 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 73. Let i = -637 + 923. What is the greatest common factor of i and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -5*v**3\/3 + v**2 - 2*v - 4. Let n be g(1). Suppose 0*a + 5*a = 4*w + 6, -w + 2*a = 0. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to -2686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5266636839.\nAnswer: 3, 17, 773, 44531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2811, -2828, -2855, -2898, -2963, -3056, -3183, -3350?\n\"Answer: -y**3 + y**2 - 13*y - 2798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = g + 32, 2*y - 3*g + 0*g + 54 = 0. Let d = y + 33. Put -1, -7, d in increasing order.\nAnswer: -7, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5 + 5*r + 0*r - 3*r + 4*r. Suppose a + 0 - 312 = 0. Let p = 317 - a. Let c(w) = -3*w + 3. Determine p*c(k) + 3*l(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 0*t + 5\/2*t**2 - 1\/12*t**4 + 7 + 0*t**3. Let m(v) be the second derivative of z(v). Let b(x) = 7*x. Determine b(m(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x\/((x**2\/x)\/x)))\/x*x*x*x**(-8))\/(x**(1\/4))**(-4\/7))\/(((x\/x**4)\/((x\/x**5)\/x))\/(x**5*x*x**(-1\/4))) assuming x is positive.\nAnswer: x**(-59\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -215 - -61. Let b = z + 221. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415200468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 77\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 6 = -2*z - 4*m, 2*z - m - 7 = 0. Differentiate -z + 7*v**4 - 5 + 3*v**4 with respect to v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*b - b - 64, 5*b - 155 = -3*k. Suppose 0 = -2*d + b. Let o(v) = -v**3 + 13*v**2 + 15*v - 13. What is the remainder when 2 is divided by o(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 4*f + 5. Let t be a(3). Suppose -t*n - 76 = -4*n. Suppose -4*s = -34 - n. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - -1*(-3 + 1). Let h(v) = v**3 + 4*v**2 - 5*v - 2. Let p be h(-4). Let t be (p\/4)\/(x + 3). Is 3 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*m**3 - 32*m**2 - 2*m - 252 - 14*m**2 + 46*m**2 with respect to m.\nAnswer: 561*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 4*d + 1. Let y be f(-5). Sort y, -4\/3, 3, 2 in descending order.\nAnswer: 3, 2, -4\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-45) - 1445544\/(-15). Suppose 14*t = t + l. Suppose 2*h = 5*d - t, -5*d + 70 = -h - 7339. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2117 - -4777. Calculate the greatest common factor of 40 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 40 - 11)*(-38 + 38 + 8*c)*(-19*c**4 + 13*c**4 + 8*c**4 - c**3).\nAnswer: -352*c**5 + 176*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/13575 and -42\/1068443.\nAnswer: 80133225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-24)*-4 + 5\/10\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 209 - -139757.4491096\nAnswer: 139966.4491096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -220\/13, -34.3, -1?\nAnswer: -34.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.366 rounded to 1 dp?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/7, 1\/4, -0.4, -0.2, -1371?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + a - 9 + 6)*(-1 + 3 - 3)*(-4 + 5 + 2) as s*a + j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khmmhkkkk. What is prob of sequence kh?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 11154?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 440\/3*r + 2\/3*r**2 + 24200\/3.\nAnswer: 2*(r + 110)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/1987 (b) 0 (c) 1\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15553 is divided by 971?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)*o)\/(o\/(o*o**(-1\/4))))\/(o\/(o*o**0\/o))**(1\/8) assuming o is positive.\nAnswer: o**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 126 - 366. What is the highest common divisor of 30 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31*5\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5 - 2 + 9*y**2 - 3*y + 13*y - 14*y**3 + 13*y**3. Let a be l(10). Suppose a = 3*v + 3. Solve 0 = 2*t - v*d + 5*d - 15, -2*d = -2*t + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3 - 25058*g**2\/3 - 117052*g\/3 - 66896\/3 = 0?\nAnswer: -4, -2\/3, 4181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**4\/2 - 82*c**3\/3 + 376*c**2 + 11267*c. Factor y(j).\nAnswer: -2*(j - 4)*(3*j + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3121010320132 + -10?\nAnswer: 3121010320122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*a, -5*k + a + 0*a + 8 = 0. Suppose -k*d = 3*h - 99, 3 = h + 6. Is (80\/(-12))\/((-6)\/d) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 10 = 5*h, -5*o - 5*h = 50 - 45. Calculate the highest common divisor of o and 2955.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = 5*l - 0*z - 3*z - 332 - 341, 113 = l - 12*z for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22627, -45301, -67975, -90649, -113323?\n\"Answer: -22674*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 16 = 4*g - c, 619*g - 220 = 564*g + 5*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3021012*x**3 + 1549130*x**2 + 1?\nAnswer: 18126072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from ditcexe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9115*i**4 + 1200*i - 6 wrt i.\nAnswer: 109380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3834.25 times 0.3?\nAnswer: 1150.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189*l - 1390 + 1390)*(-5*l + 4*l - 4*l).\nAnswer: -945*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 195, 197, 199, 201, 203?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 146.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k - k + 3 - 3. Let w = -84 - -93. Let j(u) = w - 4*u - 4*u - 9. What is i(j(c))?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*f + 375*f = -773*f + 35456 - 124006 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -160 - 278. Let m = x - 122. Let r = 86 + m. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. Let w = -5 + o. Let h = -1.2 - -6.2. Which is the nearest to w? (a) 3 (b) 2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146672 - 736179\/5. Let h = -552 - z. Find the common denominator of h and -99\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*w + 27, 61*u - 29 = 58*u + 5*w. Solve -3*z = -g + 1, 2*z = 2*g - 2 + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4093, -32969, -111345, -263971, -515597, -890973, -1414849?\n\"Answer: -4125*f**3 - f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -200190 and 0.1.\nAnswer: -200189.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -11453?\nAnswer: 11454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) 189 (b) 2 (c) -1 (d) -2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11*h = 5*h + 1790635. What is h rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1752 divided by -392.\nAnswer: 219\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 + 7 = 0. Let x(h) be the first derivative of -3\/2*h**2 + 1\/4*h**4 + 0*h + 2\/3*h**3 + 3. What is x(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -44, -83, -128, -173, -212?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*i - 22 = 0, i + 226 = 39*y + 215 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Suppose -a + j*a = 6. Suppose a*o = -0*o - 21300000. What is o rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -575744 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1945.9 - -1829.73. Let u = -0.43 + p. Round u to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((13\/((-117)\/(-4)))\/(10\/45)). Suppose 0 = -w + 3*w - r + 54, 135 = -5*w - 5*r. Put w, j, -3 in ascending order.\nAnswer: w, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 62717 (b) -0.072 (c) -0.5 (d) -1 (e) -0.09 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2179791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7878250 - -1.663?\nAnswer: -7878248.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 63 - 667. Is 144 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 112 = 0. Let i be 16\/w*(-7)\/(-4). Is 0 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-2)*(-16)\/14. Suppose -o + y = -2, z = 3*o - o - 5*y. Suppose -18 - 42 = -o*t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:55 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s - 56. Let z be t(6). Let g be 2*(3 - (z - 2)). Is 2 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 14) to base 5\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/11, 3 in decreasing order.\nAnswer: 3, 1\/3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l - 1184. Let y(s) = -4*s + 590. What is -2*n(q) - 5*y(q)?\nAnswer: 2*q - 582","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -75263424 divided by 3469?\nAnswer: -21696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2 - 403*j + 402 = 0?\nAnswer: 1, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 + -1303?\nAnswer: -2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0 - 3*n**2 + 0. Let a(k) = -452 + 3*k + 452. What is a(r(g))?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knkknkn. What is prob of sequence kk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.24? (a) 1 (b) -2\/117 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14856*o**2 + 867*o + 13 wrt o.\nAnswer: -29712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -16. Let u(m) = m + 9. Let k be u(6). Let z be 3\/k + 0 - 119\/(-5). What is the greatest common factor of z and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*t - 3.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1121778, -1121981, -1122184, -1122387?\nAnswer: -1122590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 182 = 2*j. Suppose -3*x + j = 12. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24777?\nAnswer: 3, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.064 (b) 2 (c) 19348\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 12*y + 39. Let r be j(5). Which is the third biggest value? (a) 3 (b) 0.13 (c) -4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*j - 7 = -1, -2*o - 13 = -5*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145974 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2390 = 4*c - 3*b, c + 159 = -b + 753. Suppose -18*y - 218 = -c. What is the remainder when y is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18476.6 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*k**3*o**2 + 3*k**3 - 45*k**2 + 8640*k - 539051*o**2 + 3 wrt o.\nAnswer: 48*k**3*o - 1078102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 3*r**2 - 2*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g - 2*g = -4830. Which is smaller: -1024\/9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/8, -42331, -0.02, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 100 + 102. Let l(q) = q**3 + 4*q**2 - 2*q + 2. Calculate the lowest common multiple of o and l(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (116 - 50)\/(2 + 1). Calculate the greatest common factor of 583 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*b = -1, 4*b - 13 = -4*h + 3. Let m be -2*(-3)\/(-12)*-38. Let x = h + m. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -1263 in descending order.\nAnswer: 3, -1, -1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -12. Suppose 3 + 2 = 5*o. What is the remainder when (j\/(-15))\/(-7 + (-108)\/(-15)) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -5*b**2 + 0*b**3 + 0*b**6 + 0*b**5 - 5\/168*b**8 + 0 + 0*b + 5\/12*b**4 + 0*b**7. What is the second derivative of y(o) wrt o?\nAnswer: -200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62846?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e6 - -201f?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43\/47 - 32543\/35673. Let m = -7167\/506 - j. Calculate the common denominator of -38\/21 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 15 = 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let d be -3*(-3)\/9 + w. Suppose 5*u = d*u. Which is smaller: u or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25677891 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 44. Suppose -z*p + 20 = -20. Let c = p - -3. Solve 2 = -3*h + c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203.99999723 + -204. What is t rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123506 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -76*u + 17. What is the tens digit of j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4651 divide 689008669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -16*j**3\/3 - 4996. Let n(a) = a**2 + 2. Let w(q) = 5*q**2 + 9. Let d(s) = -18*n(s) + 4*w(s). What is l(d(k))?\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21428 and 138308?\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 14012*u + 70075. What is d(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 0.9 in descending order.\nAnswer: 7, 2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 9. Let f be g(-12). Suppose f*o + r - 1158 = -2*r, 1569 = 4*o - r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -265 + 1042?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -3*a**4 - 16*a**3\/3 + 10*a**2 + 8*a + 3. Factor u(h).\nAnswer: -4*(h - 1)*(h + 2)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-28 - (4 + -35))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91491624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, 7\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-490)\/24 + 6 + -10. Let j = 153\/4 + k. Find the common denominator of 31\/8 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -55*w**2 - 7*w - 59*w**2 + 7*w + 118*w**2 + 22. Let b(u) = -2*u**2 - 11. Determine -5*b(j) - 2*c(j).\nAnswer: 2*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-2))\/(-2 - -3). Let f(l) = -l**2 - 1. Let p(x) = -3*x**2 - 1 - 5 - x - 4*x**2. Determine t*p(m) + 5*f(m).\nAnswer: 2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let w(m) = -508. Let d(z) = 85. Let n(f) = -6*d(f) - w(f). Let j(o) = o**3 + 5*o**2 - 6*o + 3. Let h be j(-6). Determine h*x(k) + 2*n(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1186, 2366, 3542, 4714?\nAnswer: 5882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 n when three letters picked without replacement from gqnqqxxxqnxnbbqxgxj?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {k: 1, t: 2, q: 13, w: 1, e: 1, u: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.2 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8432884987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 2. Let x be l(-4). Suppose -x = v - 5. Suppose -c + 1 = -14. What is the highest common factor of v and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70961920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/28)\/((-10)\/35))\/(19\/(-722))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 3. Let m(j) = -3*j + 2*j - 4 + 3 + 3. Let s be m(2). Suppose s*c + 9 = 2*w + c, 0 = -5*w - 2*c + 20. What is f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:55 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 29. Let n(h) = -h + 14. Let m(y) = -3*c(y) + 7*n(y). What are the prime factors of m(-10)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*k = -596, -3*u - 3*k = -5*k - 1810. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + -11?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33336 or 29700?\nAnswer: 33336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -967 + 973. Let z(r) = -r**3 + 6*r**2 - 8. Give z(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2952, -5893, -8808, -11685, -14512, -17277, -19968?\n\"Answer: 2*u**3 + u**2 - 2958*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 - (4455\/(-936) + (-2)\/16) and ((-2)\/((-4)\/(-170)))\/(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1277443 = 431*u - 454*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*n**2*v - 5*n**2 + n*v**2 + 23*n*v - 6 wrt v?\nAnswer: -7*n**2 + 2*n*v + 23*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -1\/8, -1\/3, 2\/5, 0 in increasing order.\nAnswer: -1\/3, -1\/8, 0, 2\/5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**3 - 4. Let k(r) be the first derivative of -8*r**2 + 73. What is j(k(a))?\nAnswer: 768*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/7 + 1742*v\/7 + 7092563\/7.\nAnswer: -(v - 3673)*(v + 1931)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1422121, -1422121, -1422123, -1422127?\n\"Answer: -u**2 + 3*u - 1422123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 6*l + 1. Let j(k) = -4*k**3 + 43*k**2 - 158*k + 161. Let w(v) = -j(v) + x(v). Suppose w(u) = 0. Calculate u.\nAnswer: 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1787428782 to the nearest 100000.\nAnswer: -1787400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 22 = -3*g + w, 0 = -5*w - 10. Suppose -g*p = 2*n + p - 75, -3*n + 5*p = -175. Suppose -n = -2*t + 6. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*34*27\/1836.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.54745 - 1472.27555. Let u = f + 1478. Let v = 2.4 - u. Round v to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, -47, -167, -395, -767, -1319, -2087, -3107?\n\"Answer: -6*p**3 - 6*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 30923 = -2*g - 2832, 7*g = 3*o - 20224. List the prime factors of o.\nAnswer: 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 96956*v**2 - 174539*v - 38786.\nAnswer: (v - 2)*(v + 19393)*(5*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(-12\/13)*i**(1\/7)\/i**(1\/3)*(i**(-1)\/(i\/(i*i**(2\/7)\/i)))\/(i**(-2\/11)\/i**(2\/7)) assuming i is positive.\nAnswer: i**(-5009\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1798 - -5285\/3. Let z = -37 - j. Sort 1\/4, 3, z in increasing order.\nAnswer: z, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191633 divided by -3\nAnswer: 191633\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-100534)\/(-34) + (-190)\/(-1615) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-13)\/i)**(-4\/27) assuming i is positive.\nAnswer: i**(52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18760805?\nAnswer: 5, 7, 536023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 15*((-2)\/(-6) - -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 4, -3, 198, -2 in ascending order.\nAnswer: -35, -3, -2, 4, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 21. What is the remainder when (-2 - 2)*s\/4 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636437.07 milliseconds to hours.\nAnswer: 0.176788075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8820 - -16850. What is p rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 0.8. Let m = u + -3. Which is the closest to 1? (a) -3 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5911?\nAnswer: -4\/5911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*s - 17 = s, -5*s + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585 - 197*w + 199*w + 585.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than -1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*m**3*q**2 - 8*m**3*q - 921*m**2*q**2 wrt m.\nAnswer: 120*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1155.07 - -1160. Let q = w - -0.07. Let n = 3 - 2.9. What is the nearest to n in 0.1, q, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10142 or 10227?\nAnswer: 10142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 50. Let a be 2\/(o - 8) - (-4)\/16. Solve -6\/5*u**2 + 2\/5*u**3 + a + 4\/5*u = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2243 and 60740440.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 2)*(-1 + 2 + 0)*(11*y + 22*y - 8*y) in the form b*y + q and give b.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 13*g**2 - 17*g + 15. Let f = -9198 - -9209. Calculate u(f).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3295 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001869188 rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2743250 is divided by 548648.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 41?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*d = 440*d + 5*f + 963, 3*d = 3*f + 2949. Calculate the least common multiple of 4 and d.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**3 - 147*x**2 + 285*x + 63.\nAnswer: 3*(x - 7)*(x - 3)*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -18*z**2 - z + 1. Let y be b(1). Let k be 4\/(-18) - 40\/y. Solve k*w = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-14)\/(-1)))\/((-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 5*q**2 - 30*q + q + 27*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24\/((-64)\/20*1190\/(-5712))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 14*d - 23. What is g(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.033 + 0.51. Let k = 0.023 + b. What is the nearest to -2 in 1, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193 and 512608?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2232.1 from 1062821.59.\nAnswer: 1065053.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 672624 divided by 4152?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3340309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/2 + 37549*a\/2 + 751780 = 0.\nAnswer: -40, 37589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x + 40 = 0. Let b(u) = -u**2 + 11*u - 2. Let l be b(x). List the prime factors of 80\/44 + 4\/l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9527388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -609500 by -5750.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 s when three letters picked without replacement from {p: 3, w: 2, s: 2, d: 8}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + 11 + 81 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/145473985?\nAnswer: 11\/145473985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -341.675 + 342. What is u rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*d + 4965 = -246*d - 4551 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 3*v**3 - 2*v**3)*(-6*v**2 + 154*v**2 - 53*v**2 + 187*v**2).\nAnswer: 846*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397 + 158*o**5 - 81*o**5 - 88*o**5 + o + 2*o**4 + 0*o**4 wrt o.\nAnswer: -220*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 750 and 750 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60794, -243196, -547212, -972842, -1520086, -2188944?\n\"Answer: -60807*v**2 + 19*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 135485 from 5746460.\nAnswer: 5610975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 280 - 5380. What is m rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25, 160, 513, 1192, 2305, 3960?\n\"Answer: 18*d**3 + d**2 + 6*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + ((-1110)\/(-35))\/6. Let w be (-1 - (-3)\/4)\/(1 - 2). What is the nearest to 0.2 in q, -4\/31, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 754*f - 453. Is g(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -5*sqrt(88)*-2) + 4*2*sqrt(88))\/(sqrt(224)\/(sqrt(21)\/sqrt(3))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*k + 0)*(k**2 - 5*k**2 + 3*k**2) + (-3*k**2 - 2*k**2 + 3*k**2)*(2*k - 4*k + 0*k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203 + 241. Let j = s + -35. Which is the closest to -1\/4? (a) j (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -177\/2 in 2, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a millisecond in microseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s. Let t = -8 - 1. Let u be i(t). Calculate the greatest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + b - 2. Suppose 3*a + 2*g = 43, 0 = 147*a - 148*a - 5*g - 55. Calculate the remainder when a is divided by r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-400)\/(-360) + (13\/(-3) - 2*(-39)\/26).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2717.617038 plus 26890?\nAnswer: 24172.382962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -1\/21*y**3 - 1 + 0*y**2 - 1\/70*y**6 + 1\/28*y**4 + 13*y + 1\/140*y**5 + 1\/294*y**7. Factor a(z).\nAnswer: z*(z - 2)*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 8*b**2 - 9*b - 3. Let x be u(-8). Let p = 154 - x. Let d be ((-2)\/10 - 1)*p. What is d rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**2*w - 4936*h**2 + 518*h*w + 1149*h - 263*w - 1 wrt w?\nAnswer: -3*h**2 + 518*h - 263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.2, -6.4.\nAnswer: -6.4, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.013 * 13.3.\nAnswer: -0.1729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*v = -3*k - 85, -5*k + 140 = 2*v. Suppose -1 = -9*b + 10*b. Let i be (k\/15)\/(b*2). Is i smaller than 6\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((85\/(-105))\/1)\/((-254)\/(-2921)*23\/7)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**3 - 2*q**2 + 2*q + 2. Let i be p(-5). Suppose -i - 338 = -5*h. Suppose -g - d = -h, 185 = -5*g + 5*d + 1475. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 3*i - 28 + (2*i - 3*i - i)*(-2 + 4 - 4))*(1814*i - 957*i - 965*i).\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13105543 (base 6) to base 5\nAnswer: 102211332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-10 + 0 - -21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Suppose -w + 4*w = 9. Let i(f) = 4*f**2 + 3*f - w*f - 10*f**2. Give o(i(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12617434 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 - 0.89. Let n = 0.76 + k. Let z = n + -0.16. Which is the second biggest value? (a) z (b) 2\/5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -31*l**7\/105 + l**6\/40 - 53*l**5\/30 - 38*l**2 - 10. Find the third derivative of z(g) wrt g.\nAnswer: -1488*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r. Let o(v) = -6136*v + 3061*v + 2882*v. Give b(o(m)).\nAnswer: 2895*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let k = 11.08 + -11.18. Suppose -21*w + 25*w - 12 = 0. Which is the closest to k? (a) d (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 68. Suppose -3*r - l*o - 4 + 24 = 0, -3*o = -3*r + 6. Solve 0 = -r*k + 2*f, -2*k + 4*f + 10 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 160.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 973104, 1946205, 2919306, 3892407, 4865508?\n\"Answer: 973101*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1032*k**2 - 350*k**2 - 349*k**2 - 332*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -3920 in decreasing order.\nAnswer: 9, 3, -3920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/24 and -87\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14315 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 = -10. Find the second derivative of -g**5 + 3*g + 2*g - 5*g**4 + y*g**4 wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 68.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -4, -11, 0.041?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, i: 11, n: 6}. Give prob of sequence nii.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/378 and -169\/2531130?\nAnswer: 22780170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 2*x + 11, -149*l + 148*l + 6 = -x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-159)\/(-3) - 2*-1 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = j + 4*j + 1070, 5*j = p - 1050. Let c = j + 528. Let f = -189 + c. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-18))\/(1\/12). Let b be (-4)\/1*(-9)\/s. Let n = 7 - b. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 - 486*l**2 + 102*l + 95. Does 14 divide v(81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5206\/5 - -49244\/45. Let c = a + -53. Let z = 283 - 282. What is the smallest value in z, 1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -587068175 - 3?\nAnswer: -587068178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9486 rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from {j: 3, n: 13, m: 2, x: 2}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from ssrssrssssrsoss?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 20*j**2 - 21*j - 32. Let x be f(-19). Suppose x*q - 5 = 13. Solve -q*h - 3 = -r - 2*r, 12 = -4*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-15) - (-79)\/(-105) - 234\/(-819). What is the nearest to 0.1 in k, -112, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 810.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08537 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 271*h - 51 + 9 + 275*h - 544*h in the form s*h + b and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 7 + -2 + -2. Let l be 2105\/(-705) + z + 4. Let c = -104\/705 + l. Is c less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*z - 14*x - 826 = -200*z, -2*z + 11*x - 6*x + 301 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -8, -10, 1211, -24 in descending order.\nAnswer: 1211, 0, -4, -8, -10, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.4*-2173.\nAnswer: -7388.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -116. Factor l*x - 72*x**2 + 42*x + 67*x**2.\nAnswer: -5*x*(x - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-508)\/(-635)*(223729\/22 - 2\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 11*q - 29. Let k be w(13). List the prime factors of (4*k\/(-24))\/((-7)\/(-6636)).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 186*u - 2. Let k(o) = -100079*o**2. Determine s(k(z)).\nAnswer: -18614694*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p. Let m be 1 + -7 - -3*423\/27. Let t(y) = 17*y + 14*y - m*y + 12*y. Give r(t(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*c - 16*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -4 (c) 1\/153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 83, 77, 71, 65, 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444 divided by -2.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*r + 24 - 87 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33\/5 of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 352749101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 19*j**3\/3 - 5*j**2\/2 + 6*j + 4. Let o be b(3). Suppose -2*x = x - o. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/4 + 34295781*y\/4 + 8573945 = 0. What is y?\nAnswer: -34295780, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-6))\/(513\/342)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14311 + 29451. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 8) to base 11.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2611 - 5?\nAnswer: 260b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18219 is divided by 18218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/10)*o**(-5\/4)*o**6*o\/(o\/o**(-1\/4)) assuming o is positive.\nAnswer: o**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + p = 190, 0 = -7*h + 3*h - p + 254. Calculate the highest common divisor of h and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.03592 litres to millilitres.\nAnswer: 8035.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 16*c + 3*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1 - (-530)\/(-110)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1462 - -1469. What is the smallest common multiple of w and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (345665 - 345665 - 2147*n)*(-n**3 + 5*n - 5*n).\nAnswer: 2147*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23143 - 13566?\nAnswer: -40042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 18*s + 2*s - 974620. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2. Let k(w) = -4*w - 10. Let t be k(-3). Let i(m) be the first derivative of 0*m - 1\/2*m**t - 2. What is o(i(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23662569.98 plus -18.6?\nAnswer: 23662551.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2 - 1 - 25*x + 23*x. Give v(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14*i + 6. Let k be x(-6). Let a = -232\/3 - k. Suppose 4*n = n. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/28 and 91\/102.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 255379 and 75.6.\nAnswer: 19306652.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 676, 654, 618, 568, 504, 426?\n\"Answer: -7*t**2 - t + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 263 = -22 - 21 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2193*v**2 - 7800*v**2 + 2541*v**2 + 2438*v**2.\nAnswer: -628*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 81*m**3 + 12*m**2 - 34*m + 107. What are the prime factors of n(8)?\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1215092, 2430158, 3645206, 4860236, 6075248, 7290242, 8505218?\nAnswer: 9720176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1848019*a - 2974368*a + 1476767*a.\nAnswer: -3345620*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -627 + 569.6. Let d = z - -57. Let a be (5\/30)\/((-1)\/2). Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 87829392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1095, 12, -2 in ascending order.\nAnswer: -1095, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 4*q**2 - 5*q - 2. Let n be (2*-1)\/(7\/14). Is 9 a factor of i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times 0.06?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56756 times -649?\nAnswer: -36834644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 2*r**2 + 5*r - 2. Let h be i(2). Let s(m) = 13*m**2 + 12*m + 41. What are the prime factors of s(h)?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-135))\/(4*((-3)\/18)\/(-1)). Which is the nearest to -0.1? (a) m (b) 1 (c) 7\/54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j - 71 + 37 + 33*j + 34.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -5*f + 1, 59 = 7*p + 38 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:10 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**6\/120 - 17*y**5\/60 + 29*y**4\/24 + 19*y**3\/6 + 26*y**2. Let m be w(15). Suppose m*z - 310 = -6*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/91168432 and 3\/327944.\nAnswer: 91168432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 - -90. Solve -2*x - 2 + b = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 12*p**2 - 15*p - 22. Let u be f(-13). Let j(o) = 4*o**2 - 7*o + 10. Let y be j(u). Differentiate -2*q - y + 41 + 5*q + 2*q wrt q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/11, -2\/5, 13576771, -2?\nAnswer: 13576771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01329 to four dps.\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*x**3 + x**2 - 2*x - 188 wrt x?\nAnswer: -732*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338 (base 9) to base 12.\nAnswer: 1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11748143 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 36*k + 66 - 31 + 14*k in the form m*k + u and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2111?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453366399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:11 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 12:52 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/29*96 - (376 + -396).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -12*h - 2. Let a(g) = 11*g + 1. Suppose -16393*q + 16394*q - 8 = -y, 7 = 5*y + 2*q. Suppose 0 = -6*d + 2*d - 8. Give d*b(f) + y*a(f).\nAnswer: -9*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 + 10*r**2 + 2*r + 2. Let w(o) = 4*o**3 - 9*o**2 - 2*o - 2. Determine 2*w(k) + 3*y(k).\nAnswer: -k**3 + 12*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -125\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2 - 3) + 2. Let a = 2 + f. List the prime factors of (a\/7)\/(3\/21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1068\/(-445) + (-1782)\/(-1430).\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j**2 - 2*j - 2. Let z(v) be the first derivative of 3*v**4\/4 - 2*v**3\/3 + 5*v**2\/2 + 4*v + 15. What is 5*w(c) + 2*z(c)?\nAnswer: c**3 + c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97775.38 grams in tonnes?\nAnswer: 0.09777538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 3*s = 21*z - 66674, 53347 = 4*z + 5*s. Suppose -3*g = 4*q - z, -3327 = -q - 8*g + 6*g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 3*f + 2*f)*(-8*f + 7 - 7)*(0 + 0 - 3*f**2) - 4*f + 4*f - f**4 as u*f**4 + j*f**3 + b + z*f + d*f**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-12))\/(2\/(-4)). Suppose -2*h - 3683 = -3*g, -3*g + 7363 = -7*h + a*h. What is h rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 5*i**2 - i + 4. Let w be m(5). Let l(s) = -s**3 + s**2 - s - 1. Let x be l(w). Factor -2\/3*n + 4\/3*n**x + 0.\nAnswer: 2*n*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32ca3 (base 13) to base 3.\nAnswer: -11200112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c + 4. Let g = 257 - 254. Let n(j) = 26 + 14*j - 12 - g. Calculate -6*n(m) + 17*y(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 12:29 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 200\/11 + 4\/(-22). Solve -2*h - 6 = h, -4*h - x = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d + 33. Let q(l) = -3*l + 22. Let w(t) = -5*k(t) + 7*q(t). Suppose 0 = 19*a - 22*a - 15. Let z(r) = -6*r + 17. What is a*z(c) - 8*w(c)?\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.125014 to 1 decimal place.\nAnswer: 11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/2544 and 61\/24.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133) - -3*(sqrt(133) - (sqrt(133)*-2 + sqrt(133)))))\/(sqrt(700) + sqrt(700)*-3 + sqrt(700)))**2.\nAnswer: 304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30 - 35 - (-18 - 0). Calculate the greatest common divisor of 52 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723938 + 15 + 6 + -6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k + i - 2 = 0, 3*k + 2*i - 5 = 0. Sort k, 14, 2 in ascending order.\nAnswer: k, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 67, 4\/7, 4\/5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -13*a + 127. Calculate the greatest common factor of a and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 43*y - 54. What is s(-5)?\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 2, i: 3, d: 1}. Give prob of sequence tiic.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 31 = l + 3*d, 5*l = -d - 141. Let g = 57\/2 + l. Which is the nearest to 1? (a) -4 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/7 + -1 + 22\/154\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176648 + 113153 = 1411*v for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 + 3) - (0 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.61804s to microseconds.\nAnswer: 94618040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (63\/420)\/(1*12\/(-10))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaafnaofnnoalaoloao. Give prob of sequence oaon.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -85*k + 509. Let x be b(6). What is the closest to -1 in x, -3\/5, 93, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 20*y**2. Let j(b) = -20*b**2. Let x(i) = -6*j(i) - 5*v(i). Let l(c) = 726 - 726 + 5*c - 4*c. What is l(x(m))?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:56 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*u + 2*d - 1, -5*u + 2*d + 17 = 0. Which is the closest to 0.1? (a) u (b) -1\/5 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*s - 34 + 34)*(s + 0*s + s + (3 + 1 - 1)*(-2*s + 3*s + s)).\nAnswer: 184*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751 - 2*q**2 - 969*q**3 + 671 - 1422 + 1044*q**3.\nAnswer: 75*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8427121 greater than -8427116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-792)\/(-108))\/((-4)\/(-18)) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.893 rounded to zero dps?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21530234 (base 7) to base 9.\nAnswer: -3438068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261054, -261106, -261172, -261258, -261370?\nAnswer: -261514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 3*p\/2 - 9.\nAnswer: (p - 6)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k - 1. Suppose 4*l = 6*l - 5*v - 7, -5*v - 4 = l. Let u(b) = 5*b + 1. What is the lowest common multiple of x(3) and u(l)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 2*j + 12*j + 5*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946284563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:13 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8353 less than -6.234?\nAnswer: -7.0693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8 = -2*t, 0 = 5*t - 3*m + m - 20. Suppose 0 = -5*j + 2*b + 492 + 453, -2*j + t*b = -378. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2) - 322\/(-132). Let n = v + 2\/33. Suppose -5 + 1 = -4*k. Are n and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1052 and 178051?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-2)\/(14\/9). Let d be 4\/14 - 96\/385. Let i = -63\/220 + d. Which is smaller: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12472777 to the power of 1\/2, to the nearest integer?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 100100100011010011011 (base 2) to base 10\nAnswer: 1197723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11322667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -104399, -208913, -313665, -418775, -524363, -630549, -737453?\n\"Answer: -20*c**3 + c**2 - 104377*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243025.8*2.\nAnswer: -486051.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 20. What is the smallest common multiple of k and 9*1 + (-246)\/41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -24849483061100.\nAnswer: -24849483061103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 376730910.54 and -3567.\nAnswer: 376727343.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + k - 23. Let a(y) = y**3 + 5*y**2 + 3*y + 15. Let o be a(-5). Determine g(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2630786 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385 divided by 2153.\nAnswer: 385\/2153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 - 675*l**4 - 30320*l**3 - 490620*l**2 - 1919840*l - 2109120 = 0. Calculate l.\nAnswer: -52, -26, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:30 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 387*v - 2251. Let h be d(-6). Suppose 0 = -6*k + 4*k. What is the nearest to 1 in -3, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/4)\/((-140)\/4480). Let s(a) = a**2 + 5*a - 4. Let y be s(-6). List the prime factors of (77\/y)\/(12\/p).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 13*g + 76. What is the remainder when g is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 511?\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 26*t - 9 = -24*t, d - 2*t - 3 = 0. Let f(h) be the first derivative of h**2\/2 + 3*h - 1. Let x be f(-3). Which is bigger: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11467207069 from -51380.\nAnswer: -11467258449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -268476 and -1073903\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1050 by -2.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125695 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 + -190. Solve -3 = -s*m - 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, 3, -0.1, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (112\/72)\/7 + 25\/9. Solve 4*c = 20, -2*o + c = -f*c + 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:10 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c - 46. Let n(r) = -5*r - 15. Let q(p) = -6*l(p) + 17*n(p). Is q(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 27 = x. Let i = -15 + 10. What is the third biggest value in i, x, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*b - 78, -f - 3*b = 2*f - 108. Solve -z = 36 - f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187218.\nAnswer: 2, 3, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2)\/(2\/(-7901)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -134, -166, -218, -296, -406, -554, -746?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-58 - (2 - 2)). Let o be 5*(-16)\/d*9. Let s = o + 6. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (43 - (4 - -24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -17*x**4\/2 + 64*x**3\/3 + 16. Find the third derivative of r(w) wrt w.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-23)*a\/a**(-1\/6))\/(a**(-19))**(-37) assuming a is positive.\nAnswer: a**(-4067\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4 - 338545*a**3 - 5729450760*a**2 + 40122745740*a = 0.\nAnswer: -33858, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 27*n - 21*n + 7)*(-1 + 1 - 1).\nAnswer: -6*n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/107 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 13*b + 3. Does 13 divide f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4302178*p = -4302190*p + 144 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 5*s = 30, 6804*w + 5*s = 6808*w - 30 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**3 - d**3 + 2*d + 100*d**2 + 1 + d**3 - 113*d**2 + 3*d**3 as b*d + m*d**3 + c*d**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38739092 to the nearest integer?\nAnswer: 6224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 4*p - 2*p**2. Let g(n) = -18*n**2 + 25682 - 12844 - 12838. Give h(g(m)).\nAnswer: -648*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1116\/1240)\/(15\/40)*20\/42\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, k: 2, w: 3, r: 2, l: 1}. Give prob of picking 2 d.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1166892 to 3 decimal places.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -3 (c) -0.0312 (d) -5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssss. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5697962 divided by 3.\nAnswer: 5697962\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 10*y**2 + 10*y - 2. Let r be t(9). Suppose -8*a = -r*a - 5403. Suppose -a = -s + 3*m, 3*m + 2 + 1 = 0. What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -973)*1\/3. Let o = h + -189. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82, 86, 88, 88, 86, 82?\n\"Answer: -s**2 + 7*s + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 23*y - 31. Let j(v) = 46*v - 51. Let q(i) = -3*j(i) + 5*p(i). Let b(x) = -68*x - 5. Determine 4*b(d) - 11*q(d).\nAnswer: -19*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1257 + 3207. Let m = 4450 - a. What is m rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*l + 5 = 0, -5*k + 3*k + 4*l = -10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-1 + 2 + -2). Let h(j) = -j**3 + 5*j**2 - j + 4. Let l be h(u). Suppose 0*g + 19 = 4*m + 3*g, g = -4*m + 9. Is l at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5676715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 2*y**2 - 3621*y - 7251. Give i(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 + 6082451772.\nAnswer: 6082451690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 134 = -114 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 5*s - 3. Suppose 5*b + 19 + 6 = -5*p, -10 = 2*b + 5*p. Let w be (b\/2 + 1)*-2. Determine v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -767170?\nAnswer: 767164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 13 (b) 0.017 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2284*n + 1612*n - 2171*n as s*n + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.317271 micrometers to centimeters.\nAnswer: 0.0004317271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b83 (base 12) to base 8.\nAnswer: 36223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 10*u + u - 211.\nAnswer: -8*u - 211","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 2 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.09, -0.3, 3, -3\/7, -4.73?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -0.3 (c) -932\/5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46155895?\nAnswer: 5, 163, 56633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*g = 1149, -3*y + 1149 = 4*g - 3*g. List the prime factors of y.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1\/9, -19\/2?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - q**3 - 1)*(-3 + 3 - 4*q**2) - 5*q**5 + 2*q**5 + 0*q**5.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1544 and 42002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k. Let x(t) = 255491*t. Calculate x(o(j)).\nAnswer: -510982*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3161)\/(-348) - (-1)\/6 - 11.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 8 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1026 divide 422712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = v - 7, -26 = -5*x + 24*v - 118 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**3\/3 - 6*j**2 - 19*j + 8. Let b be l(-10). Let w = 186 + -178. Solve w = 3*o - b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 118.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-403)\/((9425\/75)\/(-29))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 12*q**2 + 11*q - 10. Suppose -13*z + 129 = -10*z. Suppose -5*o = 3*b + 53, 5*b - 3*o = -0*b - z. Determine j(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.351 + 2130.949. What is p rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 + 7*z + 63. What is the smallest common multiple of 51 and x(-5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7743.66 to the nearest 10.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -265 (base 7) to base 10.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 7) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36454134 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 at most -0.63599958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 100 * 0.5\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:14 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08495 - -0.48495. Which is the closest to -1\/2? (a) 24.3 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12208150 is divided by 3052032?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z = -83 - 55 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 4. Let l be u(4). Suppose 5*f - 5*p - 30 = -l*p, 0 = -f + 5*p - 10. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131 and 47029.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53832844123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -8*t**4 - 278*t**3\/3 - 2312*t**2. Differentiate d(l) with respect to l.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 + 3*h**3 - 3*h**3)*(2*h - 2 + 2) + (-2*h**2 - h**2 + h**2)*(2*h**2 + 0*h**2 - 3*h**2).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 + 403?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27542445 to the power of 1\/2, to the nearest integer?\nAnswer: 5248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*-1)\/(sqrt(324)*5).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -o + 2*b, -4*o - 3*b = -35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 3:43 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12205 - 24065 = -19*m + 67*m - 14356 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 4. Suppose -d = -20 + 18. Let z be g(d). Solve 3*r = -h - 9, h - 9 = -z*h + 3*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (26 - (31 + -13)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 5. Let u = 16 - 26. Let z = u + 6. What is the units digit of i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 138\/101 (b) -0.1 (c) -2\/13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*r - 4*r - 3761*r**5 + 937*r**5 + 23*r wrt r?\nAnswer: -56480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:51 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -22*m**2 - 1. Let z be y(-2). Let t = -14 - z. Suppose 2*d = 5*b - 122, -3*b + 0*b + t = -3*d. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*z = 422, -12 = -z - 2*z. Let f = -246 + o. List the prime factors of f.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 18*w + 2020 = -16*w. Which is bigger: -209 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4.6*-4\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n - 32. Let v be y(16). Let l = -264 + 424. What is the greatest common factor of l and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 74*q - 27*q + 221*q)*(0 - 1 - 1)*(2 + 1 - 2).\nAnswer: -4*q**3 - 536*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330174 and 1289654.\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1 - -2 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**4 - 24*z**3 + 28*z**2 + 24*z - 32 = 0. What is z?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 5:31 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ldilldlddlddillli.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 4*b + 7*b + (4*b - b - b)*(0 + 1 - 3) - 2 - b + 2.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 12*z**3 - 33795*z**2 + 177153*z - 168660 = 0.\nAnswer: 5\/4, 4, 2811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80)*2)**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {x: 3, c: 2, p: 1, f: 2, o: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -6.3 (b) -2\/11 (c) 22 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147.5 + 22.5. Let z = 125.2 + l. What is the nearest to z in -2\/11, 1, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23785 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -49*c**3 + 2404*c**2 - 156*c + 430. Give y(49).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*i + 30 = 0, -2*v - 5*i - 5 + 17 = 0. Suppose 8*u = 10*u + v. Does u = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/3505 or -1?\nAnswer: -6\/3505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -21*p + 112. Let b(a) = 5*a - 28. Determine -9*b(n) - 2*w(n).\nAnswer: -3*n + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9843480 and 12.\nAnswer: 9843492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 324709 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let r(c) = -c**2 + 13*c + 2. Let j(f) = -2*o(f) - r(f). Let h be j(9). Let x(l) = -2*l**2 - 3*l - 1. Calculate x(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18957361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a week in minutes?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 896, 7261, 24570, 58295, 113908, 196881?\n\"Answer: 912*z**3 - 19*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 44. Let u(d) = d**2 - 6*d - 36. Let r be u(t). What is the units digit of (8\/16)\/(2\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9) + 70\/15. Suppose -s*q = -o + 1 + 1, 0 = 5*o - 2*q - 10. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25672 - -62240106.\nAnswer: 62240106.25672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 788620499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 58 = 5*u - 2*u, -70 = -5*a - 5*u. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -913180 (base 15) in base 3?\nAnswer: -110222022210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from xsuusucxssxxsxxuuxu?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 264378?\nAnswer: 18506.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257872.235 - -257259. Let w = f + 612. Let r = w + 0.035. Round r to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*h - 74668, 2*h + 7*s - 9*s = 29868. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3499 divided by 2540\nAnswer: 3499\/2540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 232, 657, 2022, 4795, 9444, 16437?\n\"Answer: 78*m**3 + 2*m**2 - 127*m + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmp when three letters picked without replacement from {m: 4, p: 8, c: 8}.\nAnswer: 32\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10620*a**4*g - 3596*a**2*g**2 + 356884253*g**2 with respect to a.\nAnswer: -42480*a**3*g - 7192*a*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 650867373 less than 650867374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/420)\/(1*1\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2. Let h(d) = -5133*d - 203. Let t(v) = -151*v + 2 - 6 + 2 - 4. Let x(n) = 6*h(n) - 203*t(n). Calculate x(z(a)).\nAnswer: 145*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 187, 11, -274, 5 in increasing order.\nAnswer: -274, -116, 5, 11, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, -0.16, -385, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*d = 3*d. Differentiate 2 + 48*j**2 + 0 + d - 3 - 7 - 2*j with respect to j.\nAnswer: 96*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104770*t - 27 - 104876*t + 27 + 209428*t.\nAnswer: -218*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392468 is divided by 43566.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4999472 - -2.5. What is q rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 317*g**4\/4 - 374*g - 239. What is the first derivative of p(t) wrt t?\nAnswer: 951*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -815 - 5?\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: c84 (base 15) to base 5\nAnswer: 42244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**3 - i**3 + 15*i**2 + 7*i**3 + 9*i - i**3 - 12. Calculate the remainder when g(-14) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 - 14*f. Let s(d) = -d**3 + 12*d**2 + 809*d + 178. Let c(h) = s(h) + 4*x(h). Find the first derivative of c(b) wrt b.\nAnswer: -3*b**2 + 753","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 9*u**5\/2 - 5487*u**4\/2 + 549723*u**3 - 34571538*u**2 - 326290404*u - 104901792 = 0.\nAnswer: -8, -1\/3, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 12531 = -12621 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 101*d**2 + 2*d + 3. Let w(j) = 3877*j. What is k(w(p))?\nAnswer: 1518144029*p**2 + 7754*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, w: 1, t: 1, a: 1, b: 3}. Give prob of picking 1 b and 1 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -325339148 at least -325339150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -53. Suppose 2*t + 0*t = 2*i + 34, 2*t = -5*i + 27. Calculate the smallest common multiple of k and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -2623, -8972, -21335, -41716, -72119?\nAnswer: -114548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3027*s**2 + 932*s**2 + 293*s**2.\nAnswer: 4252*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 417 - 434. Let y = 45 + n. Which is the closest to y? (a) 0.4 (b) -1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 7. What is the least common multiple of p - -2 - (1 - -2) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (8 - 15) + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65136513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*v - 242, -2*v + 80 + 116 = -4*b. Let z = 16 - b. Calculate the remainder when z is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7314 less than -7\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.9 + -9.7. Let z = 755.4 + -761. Let w = r - z. Which is the biggest value? (a) -2 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*w + 215 = -341, 2*b - 5*w = -568. Let j = b + 282. Solve -f = 12 - j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - -6*-1*sqrt(209)) - -2*sqrt(209)*-6)\/((sqrt(99) + -1*(sqrt(99) - sqrt(99)*4))*2).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/15 + -5)\/(1 - 7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x - 4*p - 35140 = 0, 4*x - 2*p - 35140 = 0. Suppose x = 9*j - 4*j. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + -144.9. Let l = 6 + p. Suppose 35 = -3*t + 5*r, -5*t + 3*t = r + 19. Put -2\/7, l, t in ascending order.\nAnswer: t, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2301 - -2301.9. Let z = -1 + 0.6. Which is the third biggest value? (a) 0.4 (b) j (c) -2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 5:22 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 70615?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184 - -182. Let g(v) = -80*v + 8. Is g(t) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + -95. What is c rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49\/57 - 10\/19. Let q = 120 - 120.05. What is the biggest value in q, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 + 4 + 12*v**2 + 1 + 3. Let n(l) = -l**2 - 1. What is -3*k(c) - 24*n(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + n + 15. Let t(i) = 2*i**2 - 34*i - 45. Calculate -3*b(j) - t(j).\nAnswer: j**2 + 31*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2. Let c(i) = 99*i + 171. Let g(v) = 18*v + 30. Let p(b) = -5*c(b) + 27*g(b). What is p(d(l))?\nAnswer: -18*l**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1372 and -11\/243432?\nAnswer: 1704024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43 times -1.3\nAnswer: 55.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -11*b + 68. Solve 0 = 9*h - 7*h - b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-539997)\/(-5) - 6\/(-10). Round c to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56812\/13 + 3230\/39. Let o = q - -488507\/114. Let s = -973\/78 - 1\/39. Calculate the common denominator of o and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 2519956*w + 10079808.\nAnswer: (w + 4)*(w + 2519952)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 4330404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357070.\nAnswer: 2, 5, 7, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 25*x + 36. What is u(26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4440, 6111, 7782, 9453?\n\"Answer: 1671*j + 2769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43946, -87895, -131846, -175799, -219754, -263711?\nAnswer: -307670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1404, 3770, 7526, 13368, 21992, 34094?\nAnswer: 50370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 10. Suppose 3*g - 3*x + 5*x - 136 = 0, x = s. Suppose -n - 4 = -g. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 20 = 0. Let r = -13 + 30. Let w = r - 12. Solve k - n = -4*y, w*k + 3*y - 6 = 2*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sasawssasaw. What is prob of picking 1 a and 1 w?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -48 - p**2 + 19 + 19. Suppose -h = -0*h. Calculate i(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllyllylyyyyl. Give prob of picking 1 l and 1 y.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -753699, -3014803, -6783317, -12059241, -18842575, -27133319, -36931473?\n\"Answer: -753705*j**2 + 11*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24, 2\/7, 1\/3, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(4\/(-3) - -2). Let i be 19\/7 + y\/1. What is the smallest value in 0.1, -2\/15, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/23 + 77194672*y\/23 + 744877173148448\/23 = 0.\nAnswer: -19298668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {x: 1, a: 1, l: 12}.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 81*p - 229*p + 73*p + 72*p. Let l(s) = 165*s. What is x(l(r))?\nAnswer: -495*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, 8.39, 4\/5, -4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -135332 > -135332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5344 + -3135412?\nAnswer: -3145200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*o + 24, 2*y - 2*o = -5*o - 9. Suppose -y*p + 8*p + 20 = 4*m, 12 = -3*p. Let n = 22 + m. Calculate the greatest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15304 - 18895.2. Let q = 3590.970064 + d. Let x = q - -0.23. Round x to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13221200 - 1120?\nAnswer: 13220030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2475554 - 4*b**3 + 3*b**3 - 44*b + 2475554.\nAnswer: -b**3 - 44*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*t - 17, 17*d - 3*t - 2455883 + 2455848 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 66*5\/60 + 12\/(-2). What is the third biggest value in -9, b, 10, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38294*o**2 - 5015*o**3 + 38294*o**2 + (o**2 + 2*o**2 - o**2)*(-4*o + 2*o + 0*o).\nAnswer: -5019*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14114, 15006, 15896, 16784, 17670, 18554, 19436?\nAnswer: 20316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10*-10 - 1. Let o be (-1)\/(-2)*(5 - g)*-3. Let y(j) = 2*j**2 + 6*j + 5. Calculate y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 14. Suppose 0 = k*g - 3*g - 356. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/14 + 108335\/50995)\/(4\/14)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 43 + 67. Suppose 0 = -4*j - j + a. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -1089*h**5\/5 + 3894*h**4\/5 + 1185*h**3 + 942*h**2\/5 = 0.\nAnswer: -1, -2\/11, 0, 157\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-114)*81\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - w + 417, -4*m + 5*w = -3*m - 99. Is (4 - -11)\/5 + m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(2\/15)*u*u\/(u*u**(-2))*u\/(u\/u**(-1\/2))*u**(1\/5) assuming u is positive.\nAnswer: u**(137\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 - -16)\/((-2)\/(-3)). Suppose -3*k = -0*c + 2*c - 6, 0 = -c + k + y. Solve c = -2*u + u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401707 rounded to the nearest ten thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -46.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 19. Let y(m) = 7*m**2 - m**3 + 5*m + a*m**2 + 9 - m**2 + 2*m**2. Is y(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -17*w + 13. Let i be b(10). Let l = i + 99. Let h = l - -185. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a hour in minutes?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(-1 + sqrt(17)) + (sqrt(68) + -5 - sqrt(17))).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -x - 1 + 12, -4*a - 5*x = 57. Let w = -6 - a. Determine j so that -j - 8*j + 2*j**w - 8 - 4*j**2 + j = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 318\/(-28)*12\/(-36) and 215\/66 + 2\/(-3)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3980*j - 7882. What is u(-2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 24 - 0. Let o(m) = -m + 7. Give o(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-17)\/68?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6779, -13557, -20331, -27101, -33867, -40629, -47387?\n\"Answer: 2*q**2 - 6784*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1006 - 1004. Solve w + 3*g = c*w - 3, -2*w - 4*g + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 46. Calculate v(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2)*(4 + 0 - 2)*(0 - 1 + 2 - 2 + 5 - 5 + 0 - 1 + 2 + (0 + 4 - 2)*(-4 - 3 + 5) - 1 + 0 + 0 - 1 - 1 + 1)*(-3*y**3 + y**2 - y**2)*(11 + 16*y - 11).\nAnswer: -1728*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2590709*v**3 - 962455?\nAnswer: -7772127*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1746*c - 6 - 299*c + 746*c. Let w be g(3). Suppose 10*y = 13*y - w. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8)*10\/(8 + -3). Let w be 1\/((-64)\/20 + 3). What is the second smallest value in w, -1\/5, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*l + 2*l - 18 = 0, 5*o - l = 18. Let k(a) = -a**3 + 5*a**2 - 3*a + 1. Let d be k(o). Suppose 0 = d*g - 30 - 60. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, -62, -155, -248, -341, -434?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, i: 4, f: 4}. What is prob of picking 1 f, 1 k, and 1 i?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**5 + 1\/30*x**6 - 2*x**2 + 0 - 8*x + 0*x**3 + 0*x**4. Differentiate g(o) wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 + 2*f + 6. Let n(b) = b. Let c(d) = m(d) + 3*n(d). Let r be c(-6). Suppose r = 2*z + 42. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7057227 and -18.81.\nAnswer: -7057245.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 5*s - 3. Let v be -1 - -1 - (-6 - 2). Let m be c(v). Suppose -2*p + m = p. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -777 + 539. Let y = b - -249. Solve 5*u + y = -4, -4*s = -3*u - 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3944 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26395 is divided by 18101.\nAnswer: 8294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -25 + 230\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1363*x**6 - 5*x**3 + 44*x**2 - 11*x + 10.\nAnswer: 163560*x**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 10 = -12*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2059 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -426.4 and -0.2?\nAnswer: 85.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 510\/331 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 599 - -3?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 268*r**3 + 283*r**3 - 18*r - 7*r**4 + 29*r**2.\nAnswer: -r*(r - 9)*(r + 2)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = 4. Find the second derivative of -6*g - 8*g**j + 19*g**4 - 9*g**4 wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5283, -10576, -15869, -21162, -26455, -31748?\n\"Answer: -5293*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 244 = y, 4*v + 309 - 70 = y. What are the prime factors of y?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*w + 733*w + 110 + 379.\nAnswer: 1072*w + 489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 1, o: 2, a: 1}. What is prob of sequence am?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*u + 35 = -0*u, -4*c - 3*u + 5 = 0. Suppose -c*l = -b - 290, -b - 4*b = -l + 82. Let h = 96 - l. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**3 + 5*c**2 + 5*c + 5. Let k(m) = -8*m**3 + 6*m**2 + 6*m + 6. Let g = 273 + -268. Give g*k(q) - 6*r(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 3*p**2 - 3*p - 3. Let x be s(4). Which is bigger: x or -2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u - 29 - 109 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 457\/3451 + -3\/203. Which is the nearest to 2? (a) 8\/5 (b) -1 (c) -0.2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -185?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(((-75854)\/102)\/23)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 20 = -5*d, 2*s = 5*s + 4*d - 16. Let f be s + (2 - -1) - -32. Let y = -17 + f. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1212210111210002?\nAnswer: 1212210111202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2655557*i**2 - 3*i - 4. Let r = 40 - 22. Suppose -9 = -4*o - h, 3*h = 5*o + 2*h - r. Let j be z(o). Round j to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5413.171mg?\nAnswer: 5413171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59928, -59769, -59610, -59451, -59292?\nAnswer: -59133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + 42*l = 3534. Suppose 0 = 10*u - 3019 + l. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1da47 + 2?\nAnswer: 1da49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u. Let f(o) = -1 - 1 - 6*o + 1 + 5*o. Let q(v) = -2. Let m(s) = -4*f(s) + 2*q(s). Give m(k(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 1 + -4 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/15*(-2080)\/39 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a - 48 = -2*c, -4 = a. Suppose -5*k = -2*m + 23, -k = m - 3*k - 10. Find the first derivative of -3 - 23*o**4 + 4 + c*o**m wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:06 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 67 + 31 = -3*g, -g + 3*h - 4 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 - 44*w - 240 = 0?\nAnswer: -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b**(-1\/5))\/b)**(-2\/63)*(b*b**(-2\/3))**(-27))**(-2\/27))**33 assuming b is positive.\nAnswer: b**(62546\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 404 and 13084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254986 (base 14) to base 11.\nAnswer: -7a513a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.16, 29, 45\/187, -2\/7?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 2, t: 1, c: 4, z: 5}. What is prob of sequence bt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 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: Is 1523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 152\/(-11) + (-2)\/11. Let o = -11 - g. Suppose 0 = 4*i - 3*t - 65, t = -3*i + o*t + 49. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 73175, 4.\nAnswer: -2, 4, 73175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 + 105 = -12*p. Let r = 92 + p. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 818205?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0*j - 17\/84*j**8 - 1 - 23\/3*j**3 + 0*j**5 + 0*j**7 + 1\/24*j**4 - 72*j**2 + 0*j**6. Find the second derivative of p(x) wrt x.\nAnswer: -1360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4056, -4055, -4054, -4053, -4052?\nAnswer: -4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28145139.\nAnswer: 3, 11, 277, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**2 + 299*r - 45. Let g be m(-50). Solve -g*u + 28 - 33 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-2*o + o - 2*o) + 2*o - 1 + 1 + 0 + 0 + o + 0*o + o - 9*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -20*c - 41*c - 29 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 39*s**2 + 41*s - 826. What is the remainder when l(37) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1039736941, 2079473884, 3119210827, 4158947770, 5198684713, 6238421656?\nAnswer: 7278158599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 11154073.\nAnswer: -1\/11154073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3))**(-9\/5)*(p**5*p)\/((p*p\/p**(3\/2))\/p))**12 assuming p is positive.\nAnswer: p**(318\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-42)\/(-7) + -2 + 1. Let n(g) = g**2 - 3*g + 563. What is the hundreds digit of n(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 + 3*h**3 + h**3 - 32*h**3 + 10*h**3 + 8*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43839 - 0.03839. What is the second biggest value in p, 0.2, -0.08, 1\/16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10 >= 407637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 463956 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 434 + -359. Suppose -24*d + 23*d + 70 = 0. Is w greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34371954 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (48 - 35) - 65?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*p + p = -2750, -1639 = -3*f - 4*p. Calculate the greatest common factor of 1580 and f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 11*n - 92. Is 17 a factor of (-242)\/(-4) + (-23)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 + 27*v - 38. What is s(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 207401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -125, -57, 43?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -716 + 345 + 351 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53.64423km?\nAnswer: 53644230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 34 = 12*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91204 and 324?\nAnswer: 7387524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -286286 bigger than -286288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 495?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -20. Suppose -5 = -4*c + 3*w + 8, 0 = 5*c + 3*w - f. Solve -2 = -c*g + 6, -5*g + 30 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134184 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19*r - 1. Determine d(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4999 + 5726 = 134*v + 31*v. Suppose 8*y - 3*y - 15 = 0, 4*d + y = 539. Calculate the remainder when v is divided by d\/8 - 2\/(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310100330113 + 12?\nAnswer: 310100330131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -25, 183359 in increasing order.\nAnswer: -25, 3, 183359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Let b(a) = -l*a + a - a + a. Let i(y) = 2*y**2 - 2*y + 2*y. Calculate b(i(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.063748 (b) 1\/6 (c) -1\/4 (d) 1\/5 (e) -5 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 1397*x + 5548. What is g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 18, 0, 4, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 1 - 7. Suppose -a - 4*o + 6 = -g*a, 2*a - 2*o = 0. Let v be (-2)\/7 + 156\/(-42) + 0. Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {c: 1, r: 1, g: 1, v: 3, m: 4, z: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 - 3*l - 2. Let k(i) = -i**2 + 4. Let t be k(0). What is x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1 - 3*u + 3 + 15*u**2 - 14*u**2. Let k be c(2). What is the third derivative of k*h**2 + 6*h**4 + 2*h**2 - 5*h**4 wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11*g + 11. Let q be u(-1). Solve q = 4*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 3*m**2 - 3*m - 1. Let o be u(3). Let d = -8 - o. Suppose i + 4*a - 74 = -d*i, -i + 46 = -4*a. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36 - -1)*(-8)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 19*m + 81. Let z be i(-4). Let n = 3 + -1. Suppose -5*l + 2*h + 70 = 0, 11*l - 3*h = 12*l + 3. Sort 0, n, l, z in ascending order.\nAnswer: 0, n, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*z**3 + 3*z**3 - 2*z**3)*(1 + 3 - 1) - z**3 + 0 + 0)*(3*z - z - z).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 60*i**2 - 58*i - 201. Is k(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:17 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/21 - 4\/7. Which is the closest to -2\/5? (a) -1 (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.403 (b) -482 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 47 + 37)*(2 + 0 - 3)*(2*r + 6*r**2 - 15*r**2 + 11*r**2).\nAnswer: 94*r**2 + 94*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49811.\nAnswer: 49811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 27 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 23*g**2 - 49*g - 3. What is f(-22)?\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 432789319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m - 0. Is 15 a factor of (0 + 15\/m)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 - 241*i**2\/3 - 961*i\/6 - 80.\nAnswer: -(i + 1)**2*(i + 480)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 835981423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - -15.2. Let b = -61.5 - -443. Let z = 382 - b. What is the closest to 1\/6 in s, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w**3 + 10*w**2 + 429*w. Let g(v) = -10*v**3 + 12*v**2 + 430*v. Calculate -5*g(k) + 6*r(k).\nAnswer: 2*k**3 + 424*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4 - -6)) + -1 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(104\/(-16)) + 8 + -2. Suppose 0 = i + 85 - 521. Suppose -y*a = -4*g - 592 - i, -3*g + 753 = 3*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -25, -12\/41, 4, -0.2, -4 in increasing order.\nAnswer: -25, -4, -12\/41, -0.2, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 647 divide 3133765516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 12, -5*t + 3*t - 4*p = -10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-248)\/24 - -10). Solve j*g = -0*x + x - 16, 2*x - 16 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 13*m - 52. Let c(s) = -23*s + 5*s + 2*s**2 - 3*s**2 - 3*s + 69. Calculate the remainder when c(-23) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -19\/3509309 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 441631085 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207326 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301138888 + 301138702.999803. Let g = 185 + m. What is g rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275.866314325 less than 33?\nAnswer: -2242.866314325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 15. Calculate the greatest common factor of f and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 - 742*a**4 + 8125*a**2 + 6 wrt a?\nAnswer: -60*a**2 - 17808*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 5:59 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2 - 288*v + 846 = 0.\nAnswer: 3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 294 = -84. Let w = -54 - g. Solve w = -4*z - 2*s - 2*s - 12, 4*z + 3*s + 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-15)*-3)\/(18\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2615.\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*-4*10\/100. Let h = 0 - 2. Let q be h*(1\/8 + 0). Sort 2\/11, m, q in descending order.\nAnswer: m, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 48. Sort -2, -1, 6, w.\nAnswer: -2, -1, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let f(w) = -2*w - 5. Suppose z - 3*a = -14, -a = -5*z - 0*a. Let j(d) = -4 - 2*d - 3 + z. Let c(m) = -6*f(m) + 5*j(m). Calculate b(c(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -358\nAnswer: -71.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1261? (a) 2\/11 (b) -5 (c) -0.47 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*m + 96 = 0, 340*m + 108 = -5*l + 339*m for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 1\/15 (b) 5\/9 (c) -45.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (185\/148)\/(200\/6240).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156109.\nAnswer: 156109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 11) in base 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i + 1. Let n(x) = -x**3 - x + 1. Let r(o) = o**3 + 4*o**2 + 2*o - 7. Let s(w) = 2*n(w) + r(w). Let j be s(4). Let a = j - -6. What is z(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(-1002)\/3006.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -767, -777, -793, -815, -843, -877, -917?\n\"Answer: -3*a**2 - a - 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1215)\/(-18)*(-16)\/(-6). Let s = 310 - w. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 5*w**2 - 8*w - 9. Let q be a(-6). Let u(h) = 3*h**2 - 2*h. Let s(j) = 3*j**2 - 3*j. Let y(i) = -4*s(i) + 5*u(i). Is y(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 28*r + 22536 - 22536. Let c(a) be the first derivative of 0*a**2 + 1 + 1\/3*a**3 + 0*a. Give c(h(v)).\nAnswer: 784*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -13509103*c. Let a(m) = 7*m**2. Calculate a(t(p)).\nAnswer: 1277471047052263*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1999 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277461082.\nAnswer: 2, 138730541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1593.00721 + -1593. Round q to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -9265?\nAnswer: 9258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/11)\/((((c*c**16)\/c)\/c)\/c*c)*c**(2\/15)*c**(-4) assuming c is positive.\nAnswer: c**(-3128\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 1 + 1. Suppose -2*c - 2 = -2*b - 6, -10 = 5*b - 3*c. Let l be 44\/(-12) + 4 - 76\/57. Sort o, b, l in decreasing order.\nAnswer: o, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4906 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469951?\nAnswer: 53, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 8*i**2 + 172*i - 1623. What is q(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 2 = -3*c - 5*n, 4*c - 28 = -4*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + 6a2?\nAnswer: 6bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/(-105) + (-192)\/7. Let b = -2 - d. Let h = 10 - 3. What is the remainder when b is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 - 28*w**2 - 3*w**3 + 20*w**2 - 10*w + 19. Let r be y(9). Suppose r*h + 19 = 11*h. Calculate the remainder when 48 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1293 is divided by 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 904*5.8\nAnswer: 5243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 9*p - 5. Let j be n(-9). Let i(y) = -y**3 - 5*y**2 - 2*y + 6. What is the remainder when ((-60)\/14)\/((-2)\/14) is divided by i(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 7:31 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(-5 + (((sqrt(572) + sqrt(572)*1 + sqrt(572))*-3)\/sqrt(11))**2) + -4).\nAnswer: 151428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -5*p**7\/399 + 12*p**6\/95 + 33*p**5\/190 - 4*p**4\/57 - 187*p. Determine b so that l(b) = 0.\nAnswer: -1, 0, 1\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464922621.\nAnswer: 113, 269, 48193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let r(u) be the third derivative of -u**4\/4 - u**3\/3 - 11*u**2. Determine -r(l) - 4*w(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = 5*k - 23, -5*k + 4*y + 31 = 0. Suppose -4*i + 2*b - 113 = -k*i, 2*b + 565 = -5*i. What is the common denominator of 60\/(-375)*i\/8 and 49\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-3)\/((-2448)\/(-260)). Let l = 60\/17 - o. Calculate the common denominator of l and 49.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j - 2*f, j = f + 3*f + 17. Suppose -j*u + 115 + 10 = 0. Suppose -2*a = 3*a - u. Solve 0*q = q - a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 43*w + 20. Determine b(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1529*h**2 + 230879*h + 63. What is f(-151)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/2831 and 32\/504961.\nAnswer: 9594259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:24 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -47*c**5\/20 - 7*c**2\/2 - 41*c. Differentiate s(q) wrt q.\nAnswer: -141*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2 + 12595185*i = 0. What is i?\nAnswer: 0, 4198395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1 - 352203?\nAnswer: -3522a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1e7 (base 16) to base 2\nAnswer: -111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 21*a**4 - 99*a**3 + 121*a**2.\nAnswer: -a**2*(a - 1)*(a + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, 1 z, and 1 c when four letters picked without replacement from {j: 3, i: 2, k: 2, c: 1, z: 1, v: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631*v + 1460*v - 823*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11))\/(139\/18348)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 469 + -467. Let q(f) = 15*f**2 - 13*f**2 - 4*f**b. Let v(y) = -23*y**2. Calculate q(v(s)).\nAnswer: -1058*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3256315 + 0.326. Round j to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**6\/360 - v**5\/20 - 7*v**4\/24 + 8*v**3\/3 - 4*v + 1. Let c(g) be the second derivative of r(g). Determine c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1)\/q)\/q)**2*(q*q**2)**(-24\/7) assuming q is positive.\nAnswer: q**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 + i - 1. Let f be r(1). Let h = f + -3. Let q be (4 + -1)*8\/6. Solve -q*y - 5 = -h*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/3*a**5 + 8\/3*a + 0 + 24*a**2 + 194\/3*a**3 + 48*a**4.\nAnswer: 2*a*(a + 2)**2*(4*a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 3, 5, 9, -3, -2\/11 in descending order.\nAnswer: 9, 5, 3, -2\/11, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o + 78*o + 4 - 4.\nAnswer: 67*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181193.\nAnswer: 181193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -43?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158 and 4?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 271332971.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017475 to 5 decimal places.\nAnswer: 0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, 3\/4, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -4 + 3 - -3. Solve -5*c - 4*s - 33 = 0, 3*c - i*s = 2*c + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/427 + 2567\/2135. What is b in -1\/5*b**3 - 9\/5*b + 0 - q*b**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -178, -349, -596, -925, -1342, -1853?\nAnswer: -2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1635 or -1636?\nAnswer: -1636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20767*-0.3.\nAnswer: 6230.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6*(-10)\/9)\/(32\/(-720)). Let m(d) = -2*d + 1. Let f be m(-1). Let w be 150\/f*(-2)\/(-1). Calculate the highest common divisor of j and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 2*t - 5*o, -t + o + 193 = t. Suppose 2*z - 2*l - 5 + 59 = 0, -5*z = 3*l + t. Let i = z + 57. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2227, -2, -193.7, 0.5 in decreasing order.\nAnswer: 2227, 0.5, -2, -193.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 6*s**2 + 5*s + 2. Let f be g(-4). Is 4\/f - (-640)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1600323480 + 52\nAnswer: -1600323428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0 + 0 + 2 - 3. Let z(x) be the first derivative of -x**2\/2 - 10*x + 1. Let r(h) = 22*c(h) - 2*z(h). Let i(s) = 2*s - 1. Calculate 3*i(n) - 2*r(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10 - 1495\/(-10))*(-2 + 4) + 3 is divided by 99.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9646, -10723, -11800, -12877, -13954, -15031?\n\"Answer: -1077*c - 8569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-18))\/((-555)\/1575 + 2\/7).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 1, s: 1, d: 2, y: 3, b: 4}. Give prob of sequence hbsa.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 258*b + 764. Calculate d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3821 divide 136680991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11520)\/(-480)*(-16)\/(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376176 by 51.\nAnswer: 7376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.176 + -0.176. What is the closest to h in 0, -19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 + -174.1. What is the closest to g in -4, -12\/7, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = a - 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 20, 4*s - 6*u + 24 = -3*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(0*s + 3*s - 4*s)*(486 + 272 - 122)*(7*s**4 - 2*s**4 - 2*s**4).\nAnswer: 1908*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -220 or -2?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38186915 by 587491.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gge when three letters picked without replacement from ezezgeszzzzezgzz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -432 - -549. Differentiate 4 + 69 + 29 - 46*k**2 + r with respect to k.\nAnswer: -92*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9780 by 1630.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/22)\/(37\/666)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/38 in 6, -1\/15, -2\/89?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 334936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) -5\/3 (b) 2.74 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 - 51 = -32*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6627911908.\nAnswer: 2, 41, 3461, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 448 + 490. Calculate the remainder when o is divided by 80.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/60 + t**4\/8 + t**3\/6 - 34*t**2. What is u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 707\/(-2828)*16\/(-116).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2)\/(9\/27). Let r(s) = -2*s + 10. Let f be r(j). What is the second derivative of 0*u**4 + f*u + 0*u - 6*u**4 - 5*u**4 wrt u?\nAnswer: -132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1207\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a - 46*a - 5*w = 95, -41 = -2*a + 3*w. Solve -n + 3*i - 4 = 0, -6*i + i + a = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40245 + 24039. Let c be (-1 + (-1 - -14))\/((-148)\/o). Suppose -2*v + c = 2*u, -5*v + 2632 = -v + 5*u. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - z + 1. Let o be m(1). Let f(q) = o*q**3 - 15*q + 14*q + 3*q**2 - q**3. Determine f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/36)\/((-861)\/54 - -14)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11776 and 12?\nAnswer: 35328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/3 - 1160*v\/3 - 168200\/3 = 0. What is v?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 303 and 605091?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*-1*((-2*sqrt(245) - sqrt(245)) + 1))**2.\nAnswer: -1512*sqrt(5) + 79416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfmmfmhmlhfmmmccmlhh. What is prob of sequence cfmm?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1356)\/54*-3)\/(54\/7209)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0*l + 3*f - 1251, 5*l - 2069 = -f. Calculate the greatest common divisor of 59 and l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = g - 2. Let q = -163 + g. Let x = q + 1087\/11. What is the closest to 2 in x, -2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-225) + (-73)\/(-15). What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + 8)\/(9\/(-6)*-1). Solve 3*i - 7 = l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x\/(x*x*x\/(x\/x**(-2\/7)*x)*x))\/x))\/(x**(-5)*x))\/(x**(1\/2))**23*(x**6*x*x**(-4))\/(x**(1\/4))**(-16) assuming x is positive.\nAnswer: x**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*i = -0*r - 25, -5*i = -r - 20. Suppose t - r = 10. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2479933 and 8590?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.342 - 67.658. What is the nearest to -1 in -4\/5, h, 0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -4)\/(-3 - -2). Suppose r*h = h + 3. Suppose 0 = 5*z + h*q - 76, -3*z - 3*q + 2*q = -48. Solve -v + z = -4*o, 0 = 3*v - o - o - 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 513*q + 1356 + 1175*q**4 + 512*q**4 - 1033*q + 520*q wrt q.\nAnswer: 6748*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.5 + -36.1. What is the smallest value in -12, 5, q?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 34. Let d be (2 - 5) + (4 - -2) + -2. Solve -d = -x - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 - (-114)\/7. Let i be (-1 + -2 - -16) + 2. Which is bigger: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15823?\nAnswer: 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 17 = -3*q, -4*q + r + 26 = 5. Let l = -0.99 + -0.01. Let j = 1.72 + 3.28. Sort l, -1\/2, q, j in decreasing order.\nAnswer: j, q, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -20 (b) -2 (c) -6702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3780343.\nAnswer: 7, 509, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, 278.9, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w - 25. Suppose 0 = -5*s - 2*x + 120, -s + w*x - 5 + 29 = 0. Calculate the greatest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 3660*z - 7304.\nAnswer: -4*(z + 2)*(z + 913)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 11*r - 27. Let t be a(7). Let o be (-1 - -2 - t)*-1. Solve z - 4 = -o*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 2, g: 2, s: 2, k: 4}. What is prob of sequence kffg?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 10*k**2 - 77*k + 29. Calculate i(-15).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 6*y + 5. Let t be 8\/(-28) + (-120)\/21. Calculate j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 32 = 3*l - 17, -4*o - 77 = -5*l. Let i = 27 - l. Calculate the least common multiple of (-82)\/(-4) - 5\/i and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2513397 by 16.\nAnswer: 2513397\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = u + 3*u. Let y = 2 - 7. Let l = 10 - 9.8. Which is the third biggest value? (a) l (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from voovvvvo.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1170 and 2990?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40225982789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9427297 is divided by 201.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*w - 27 = 0, 10 = -2*o + 2*w - 6. Let c(f) = -f**3 - 3*f**2 + 5*f + 7. Let v be c(o). Calculate the greatest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = 0. Is j at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17202072.\nAnswer: 2, 3, 431, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 27 = -2*n + 3, 5*r - 5*n = 0. Let u be (32\/r + 0)*5. Let y = u + -110. What is y rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*f**3 - 118*f**3 - 11*f**3 + (-6*f**3 + 0*f**3 + 4*f**3)*(-5 + 4 - 1))*(-4 + 6 - 1).\nAnswer: -291*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 + 11*x + 21. Calculate f(-9).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 7. Let s(n) = -2*n - 15. Let p(z) = 13*h(z) - 6*s(z). Let o(q) = q**3 + q + 5. What is the least common multiple of o(0) and p(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0*y**5 + 0*y**3 + 2*y + 0 - 1\/4*y**4 + 0*y**6 + 2\/21*y**7 + 0*y**2. Find the third derivative of o(j) wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17426 and 218916143?\nAnswer: 218933569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2346 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.9. Suppose 3 = -g, -g = -3*j + 3*g - 42. Let o be 5\/(-3) + (-12)\/j. Which is the closest to o? (a) f (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 4*o**2 - 2*o**2 + o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -505 divided by -101\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178949, 176544, 174139, 171734?\nAnswer: 169329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-68) - 3656925\/(-255) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - 2467 - 2*q**3 - 2*q**2 + 2467 in the form v*q + n*q**2 + s*q**3 + p and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5774842 is divided by 5774829?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63 and -779.1.\nAnswer: -49083.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -212374?\nAnswer: 212374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6492.8 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21402*n**3 - 1062870 - 21404*n**3 + 1062870 - n.\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 13*b**3\/6 + b**2\/2 - 3*b + 4. Let w(t) be the first derivative of j(t). What is the tens digit of w(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 2*f + 2*f)*(14397*f + 11005*f - 9371*f + 7353*f) - 3*f**2 + 0 + 0 to the form t*f + r + p*f**2 and give p.\nAnswer: -46771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -201 and 5.6.\nAnswer: -195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -24. Suppose 8*j - 44 = 4*j. What is the least common multiple of j and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -20, -0.1, -4, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*x**3 - 13209*x**2 + 872520?\nAnswer: -60*x**2 - 26418*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.076686 * -0.2\nAnswer: -0.0153372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 84. Which is the nearest to -1? (a) 2 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341 and 22909?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20, 21, 20, 17, 12, 5?\n\"Answer: -p**2 + 4*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 183259649921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98438602 or -98438601?\nAnswer: -98438602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*x - 37*x - 12931 = 747. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 49 = -4*q, -4*q + 5*q + 2*c = -16. Let v be 546\/130 + 2\/q. Suppose -4*u + u = -12. Solve -2*r - u*k = -0*k, v*k - 4 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3515*a + 3330. Let u(p) = -2*p - 2. Determine 4*t(q) + 6660*u(q).\nAnswer: 740*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*q + 105, 2*q = -2*l - l + 70. Suppose 5*s - l = -0*s. Is (-592)\/(-20) + s\/10 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - 3*(sqrt(75) + 1*sqrt(75) + sqrt(75) + sqrt(75)) - sqrt(75)) + 4 + -2 - (sqrt(75) + 1 + sqrt(75))*2*6*-1)**2 + 2.\nAnswer: 1680*sqrt(3) + 10998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/3 + 2*g**4\/3 + 2*g**3 - 20*g**2\/3 + 19*g\/3 - 2.\nAnswer: -(g - 2)*(g - 1)**3*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.038 + 0.03800142. Round o to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 4 - 4 + (-2*l + 2*l - l)*(29 - 7 - 15).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -23*f**4\/24 - 31*f**3\/6 - 26*f**2. Differentiate m(y) wrt y.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276)\/(-230) + 19\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7 - 6*i - 1 + 5. Let m be w(2). Is 11 + m\/(-5) + -7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3677, 3678, 3679, 3680?\n\"Answer: h + 3676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiszmimmppzmezi. Give prob of picking 2 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -49*b + 309. Determine q(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + w - 5. Let n(q) = 5*q - 1. Let z(r) = 4*r - 1. Let i(p) = 5*n(p) - 6*z(p). Let c(d) = -b(d) - 4*i(d). Is c(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 72, 200, 398, 672, 1028, 1472, 2010?\n\"Answer: x**3 + 26*x**2 - 21*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -332 in decreasing order.\nAnswer: 3, 0, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {l: 1, c: 1, q: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/240 + y**3\/6 + 3*y**2. Factor c(g).\nAnswer: -(g - 2)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -133 and -85?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**2 + 2*h + 4. Let d(p) = p**2 - 2*p - 3. Let j be d(0). What are the prime factors of f(j)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*l - 16 = -q, 3*l = 5*q - 42. Suppose q = g - 3. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*l + 2962, -5*l - 2224 = -3*s - 3*l. Let k = -462 + s. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.392853km to meters.\nAnswer: 392.853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 680 and 85?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -3. Let g(f) = 3*f**2 - 5*f + 2. Let m be g(0). Let q be m + (-2 - (j - 1297)). Round q to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/18 + 3\/((-27)\/(-6)). What is the second smallest value in m, -7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 170, 5, -0.6, -15, -0.3 in ascending order.\nAnswer: -15, -0.6, -0.3, 5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 9) in base 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6591*f**3 - 1518*f**2 + 114*f - 3. Let j(a) = 6591*a**3 - 1519*a**2 + 115*a - 3. Let h(d) = -3*j(d) + 2*p(d). Let h(v) = 0. What is v?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -0.4, 3\/25, 3 in decreasing order.\nAnswer: 3, 3\/25, 1\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9707 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 1. Let u = -1 - i. Suppose 0 = -2*w + u*a - 7*a + 102, -104 = -2*w - 4*a. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50677 + -101?\nAnswer: 50576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -119, -143, -167?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -348*q**5 - 185*q**2.\nAnswer: -20880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 3*v**2 + 3*v + 1. Suppose t = 6 - 8. Let p(x) = -x**3 + 2*x**2 - 2*x - 1. Calculate t*z(f) - 3*p(f).\nAnswer: -f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -u - 177. Suppose -u = 5*y + 4*x, -8 = 2*y - y - 3*x. Let g(a) = -a**2 - 12*a + 5. List the prime factors of g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - (-55)\/178) + 1 and (-3)\/(-7) + (-170)\/(-28) - 184\/(-46).\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11177368739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-5 - 5) + 0 - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 1 u when three letters picked without replacement from guyggrgrgtgtgr.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011100 + 2101100000?\nAnswer: 2111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h + 2. Let c be 6\/6 + (-1 - 9). Let u be b(c). Does 19 divide (2 - u) + (0 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 17646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o + 25. Let n = 771 + -775. Calculate the remainder when 14 is divided by (o - (-4)\/n)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39038395 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2\/3)\/s)*s*s)**(6\/13))**(1\/4) assuming s is positive.\nAnswer: s**(7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -0.3. Let o = 534 - 375. Let f = o + -176. Which is the third biggest value? (a) 0.2 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let h = -243 + 243. What is the closest to -4 in u, h, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15985)\/(-805) + -19 + 0?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/20 - m**4\/3 + 7*m**3\/3 - 3*m**2\/2 - 241*m. Let h be o(6). Calculate the highest common divisor of 36 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u + 3. What is the tens digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1764 and 21.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 1. Suppose -3*q = 2*x, 0 = -3*x + 6*x + 3*q. Suppose -4*f = k - 5*f + 4, f - 2 = x. Let n(r) = -3*r - 3. Calculate k*s(a) - n(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2796319, 5592637, 8388955, 11185273, 13981591, 16777909?\n\"Answer: 2796318*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 213287557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 8) to base 4.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 3*j**2 - 3. Let l(p) = -4*p**3 - 11*p**2 + 11. Calculate -6*l(v) - 22*w(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 26 = -2*h, h - 199 = y - 198 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32502, -32501, -32500, -32499?\nAnswer: -32498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12458, -50095, -112850, -200723, -313714, -451823?\n\"Answer: -12559*f**2 + 40*f + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24 from 113628.\nAnswer: 113652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i**3 - 71*i**3 + 41*i**3 - 13*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -30 - (-1 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3607?\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -496 + 518. Solve -10*q - q = -h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 9:13 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2899, 2886, 2863, 2830, 2787?\n\"Answer: -5*b**2 + 2*b + 2902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021 to seven dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4797 to the nearest one hundred.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 159. Solve 2*x - 6*x - 14 = 2*c, -11 = t*x + 5*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16285129 divided by -7\nAnswer: -2326447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*i - 7. Let s be (0 - -8)*i\/(-2). Let a = s + -2. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r**2. Let l(t) = 61*t + 58*t - 119*t + 13*t**2. What is y(l(z))?\nAnswer: -1183*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 24.96. Which is the smallest value? (a) -3\/61 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468468 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 714 = -5*h - 481, -2*p = -h - 242. Let y = h + 344. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -743.222899 and 20937.\nAnswer: 20193.777101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -3)*(2 + (-35)\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26513\/38 - 697. Find the common denominator of j and -77\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-7) - 4098\/(-7). Suppose -2*j + 3*s = 5*s - 584, -t = -2*j - 3*s. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/10 - w**4\/12 - w**3\/3 + 4*w**2. Let x(c) = -5*c**2 + 2*c + 2. Determine -4*k(h) - 5*x(h).\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9206*s**3 - 2003*s**2 - 3?\nAnswer: 55236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 16*x**2 + 105*x. Let z(m) = 15467*m. Determine z(w(p)).\nAnswer: 247472*p**2 + 1624035*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l + 3. Let d(m) = 3*m + 1. Let r(x) = 11*d(x) - 6*f(x). What is the derivative of r(a) wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(152) + (sqrt(152) + 1*sqrt(152))*2 + sqrt(152) - sqrt(152))*-2)\/(2*(sqrt(1152) + (sqrt(1152) - (1*-1*sqrt(1152) + sqrt(1152))))).\nAnswer: -25*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -168, -393, -780, -1383?\n\"Answer: -9*l**3 - 54*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1004493170 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -38. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -1\/10*k**6 + k - 2*k**2 + 0 + 0*k**4 + 0*k**3 + 0*k**5. Differentiate w(y) with respect to y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -5\/12*c**4 + 0 - 10*c + 0*c**3 - 11\/10*c**5 + 0*c**2. What is the third derivative of k(p) wrt p?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1008*b - 4 - 175*b + 6)*(-b**3 - 4*b**3 + 2*b**3).\nAnswer: -2499*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*x + 8 - 0, k - 7 = -3*x. Let y(q) = 6*q**2 + 13*q + 9. Let h be y(-3). Calculate the greatest common factor of k and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15297755 is divided by 1271.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15486, -14126, -11856, -8676?\nAnswer: -4586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -4) + (-4)\/2. Suppose -b - 5*v + 48 - 17 = h, -13 = 2*b - 5*v. Let g be ((-3)\/b)\/((-1)\/6). Let k(l) = -l**2 + 4*l. Give k(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/19)\/l**(-1))**(4\/21)\/(((l*l**(2\/5)*l*l)\/l)**(2\/125)\/(l\/(l\/(l*l**(2\/3)))*l*l)**(2\/55)) assuming l is positive.\nAnswer: l**(10882\/35625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjqjcvvvvvcjjddd. What is prob of picking 1 q and 1 c?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.69995 - 7.7. What is l rounded to six decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/1972 and 4\/1479.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 41*p + 1067. What is d(-59)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -611\/9 or -67?\nAnswer: -611\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 104403 (base 5) to base 11\nAnswer: 288a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118769, -235612, -352455, -469298?\nAnswer: -586141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*y - 50*y = 10164. Suppose -5*l - 2*j = -y, -l + 343 = l + 5*j. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 21*q**4 - 11*q**2 + 13*q. Let j(s) = 11*s**4 - 6*s**2 + 7*s. Let r(u) = 11*j(u) - 6*m(u). What is the second derivative of r(v) wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 3. Let m(p) = p**3 + 5*p**2 - 3*p - 12. Let f be m(-5). Suppose c - 2*q = 18, -3*c = f*q - 0*q - 9. List the prime factors of h(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -1\/2, -1\/182, -92.3, 10 in increasing order.\nAnswer: -92.3, -1\/2, -1\/182, 1\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + b + 22 = 0, -10*b = 3*k - 14*b - 3. What is the remainder when 56 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/((-13)\/(-6))*(-10)\/(-20). Suppose n + v = 4*p + 34, 76 = n + 5*p. Calculate the remainder when 176 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18081189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -195, -4, -10.\nAnswer: -195, -10, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 367906 and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:00 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003284185684 to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 = -3*t - 8, 4 = 2*d - t. What is the derivative of d*s - s + 2*s - 2 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v)**(-34\/5) assuming v is positive.\nAnswer: v**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from nqqmmqqqtqtqnmqtzq?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3250 + -22752\/7. Let l be 1 - 3*115\/315. Which is the fourth smallest value? (a) l (b) s (c) -5 (d) -4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 157 = 2*t + v, -101 = -2*t + 5*v. Let b = 38 - t. Let f(c) = -3*c**3 + b - 1 - 4 + 2*c**3. Calculate f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1098, -995, -826, -591, -290?\n\"Answer: 33*v**2 + 4*v - 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1692.5 - -1692. What is the third smallest value in -101, 2, 4, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -643*o - 44 + 644*o + 2. Let p be v(-5). Let g = 47 + p. Solve -2*t + t = g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 53*v**2 + 27*v + 5. Is q(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 13*x**2 - 11*x + 16. Let f be v(-12). Solve 0 = -5*g - 5*c - 5, -7 = 5*g + f*c + 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16774 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -132103300332 (base 4) to base 2\nAnswer: -11110010011110000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aac when three letters picked without replacement from accereemcacececc.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u - 24 = 0. Suppose 5*q - u - 3 = 0. Suppose 4*d - q = 5. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 748577383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1215, -1216, -1217, -1218?\n\"Answer: -x - 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 12. Let s(p) = p**2 + 17*p. Let h(n) = 16*n. Let c(r) = q*h(r) + 4*s(r). Suppose c(d) = 0. Calculate d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 3\/18 - (-795)\/90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -460 + 61. Suppose 3*o - w = 3*p - 12, 0 = -2*o + 5*p + 267. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/3 - 8581*t**4\/3 + 5718*t**3 + 34318*t**2\/3 - 17155*t\/3 - 8579 = 0 for t.\nAnswer: -1, 1, 3, 8579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 - -25295. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 2 s when four letters picked without replacement from fsffefffshhfeneene?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1186452 (b) -0.4 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13068 (base 13) to base 14.\nAnswer: cbb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7.3. Let p = -1.9 + 2. Sort 1, k, p.\nAnswer: p, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4494 - 2229. Suppose -2*d = 6*k - 5*k - 2235, o = 2*d - 5*k. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -17, 2.5 in decreasing order.\nAnswer: 2.5, -0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2856 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 20*h - 4980. What are the prime factors of h?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -17\/6*r**3 + 31\/2*r**2 - 1\/12*r**4 + 0 - 7*r. What is the units digit of h(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5099 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1531005968.\nAnswer: 2, 269, 355717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -0*c + 6*c. Let n(s) = 2*s**2 + 5 - s**2 + c - 12 + 8*s. Determine n(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let l(y) be the second derivative of -2234*y**4\/3 - 2*y + 3851. Give l(p(j)).\nAnswer: -35744*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:11 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoox when four letters picked without replacement from ooxooxoxoo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*x - 89 - 112 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6265 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1489.069819 rounded to the nearest 10?\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307964 divided by 84.\nAnswer: -76991\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 9 = 3*x - 4*k, 5*k = 0. Let f(s) be the third derivative of -s**4\/24 + 5*s**3\/6 - 13*s**2. Let l be f(0). Sort l, x, -4 in decreasing order.\nAnswer: l, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2663\/6 - 441. Suppose 3*b + 67 = 4*w, w + 0*w - 31 = -4*b. Let x = w + -15. Is x greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2633962 and 480650?\nAnswer: 65849050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16566606 by -189.\nAnswer: 87654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/28 and -55\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11180\/212629?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2394006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/278370 and -33\/5155?\nAnswer: 278370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - 98. Suppose 0 = -10*r - 12*r + z*r. Solve r = 7*f - 13*f + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 - 16*x**3 + x**3.\nAnswer: -41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 14*c**2 - c - 55. Let v be p(11). Let z = 444 - v. What is the highest common factor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -0.0006701, -2\/7 in increasing order.\nAnswer: -3, -2\/7, -0.0006701, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 13\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 7. Let y be h(-12). Let n(z) = 28*z - 2627. Let m be n(94). Let t(f) = f**2 - 5*f. Let w be t(4). Sort m, w, 0.3, y in decreasing order.\nAnswer: m, 0.3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 687, 1505, 2323, 3141?\nAnswer: 3959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -47. Let q = a + -477\/19. Let z(g) = g**2 + 12*g + 27. Let b be z(-9). Is b not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 8 + 9*a - 15. What is the tens digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 2.53383417.\nAnswer: -0.760150251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2923017)\/(-38988) + (-2)\/(-72))*1?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 6*o**2 - 7*o + 8. Let w be d(-4). Solve 2*i - w*i + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4*w**3 - 14*p**4 + 5*p**3*w**2 + 68*p**2*w**3 - p**2*w - 4*p**2 wrt p.\nAnswer: -48*p*w**3 - 336*p + 30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -17*i + 45. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1845555500 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*c**3*w + c**2*w**2 + 2*c*w**2 - 22*c*w + 2*c wrt c?\nAnswer: -306*c*w + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7411*g**3*s**5 + 3*g**3*s**3 - 5*g**3*s - 307*g**2 - 3 wrt s?\nAnswer: -148220*g**3*s**3 + 18*g**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16898*2.\nAnswer: -33796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -46. Suppose g - 7 = d. Suppose -8*j = -g - 133. What is the greatest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6593 is divided by 124?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662 a factor of 131017654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/4 + 478*p**4 + 8971*p**3\/4 + 2727*p**2 + 963*p = 0. What is p?\nAnswer: -3, -1, -2\/3, 0, 642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 23 + 15)*(-2*p + 2 - 2) + 0*p + 0*p - p + (5*p - 4*p + 0*p)*(3 - 1 - 4) to the form r*p + o and give r.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 t when four letters picked without replacement from {t: 3, r: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1043*y - 1053*y + 30 = 0. Solve 0*m + y*m = -4*n + 7, -n + 10 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 8*u**2 - 8*u. Let n be b(-9). Let q = n - -13. What is the smallest common multiple of 18 and (-1)\/(75\/(-18) + q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9633 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110761, -110767, -110773, -110779, -110785?\nAnswer: -110791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2 + 2 + (5*q - q - 3*q)*(2 - 3 + 2) + (0*q + 2*q + 0*q)*(3 + 1 - 3) + 1 - 1 - q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 1578 = -1466 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87598901 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 350\/2415*23*30\/(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -82*n - 3. Let p(d) = 2133*d + 79. Calculate -79*o(r) - 3*p(r).\nAnswer: 79*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111324055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*c - 1431 + 1515. Is -69\/17 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -7*f**4\/2 + 4*f**3\/3 + 28*f**2 - 16*f - 25. Solve c(z) = 0 for z.\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*5\/(-880))\/((-3)\/8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211429 less than 211406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12*j**2. Let y(w) = -4*w**2. Suppose -3*s + 4*n + 0*n + 11 = 0, 2*n = 5*s - 23. Let p(o) = s*k(o) - 16*y(o). Let a(i) = -5*i**2. Give p(a(z)).\nAnswer: 100*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*4*(12\/(-56))\/(7*42\/343).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + f + 2*f)*(-1514 - 285 - 674) to the form m*f + u and give m.\nAnswer: -4946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 285 * -136901.\nAnswer: -39016785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 7*j**2 - 7*j + 1. Suppose 37*q - 24*q = -65. What is t(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3 + 5. Let r = 187 - 190. Are r and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 15, -4, -41, -102, -193, -320?\n\"Answer: -y**3 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -1.6 (b) -0.07 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -332 or -1333\/4?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*f - 12 = 107*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 191003, 191004, 191005, 191006, 191007, 191008?\n\"Answer: f + 191002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18255\/(-3069) + (-214)\/9951 - -6.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15) - (-9)\/5)\/(14\/8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153643739.\nAnswer: 17, 9037867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10095.\nAnswer: 3, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491038048?\nAnswer: 2, 15344939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*p**4 + 3*p**3 + 110*p**4 - 3*p**3 + p**4 - p**4 + 2*p**4 - 4*p**4 + 2*p**4 + 3*p**4 + (0 + 0 - 2*p)*(4*p - 2*p**3 - 4*p) - 5 + 3*p**4 + 5.\nAnswer: 196*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19984 is divided by 100?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 q, and 1 e when four letters picked without replacement from cccpqeenqcwcencceq.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvdvvvdxvhvvhvvvdvd. Give prob of sequence pd.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 7:04 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2768441 is divided by 79098?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 - 3*g. Let v(a) = 8*a + 6. Give j(v(f)).\nAnswer: -256*f**2 - 408*f - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/87 + (7365\/435 - 14). Solve -r*b - 4*s = -0*b + 35, -2*s - 35 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 9:07 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 706366524.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 162\/81*(-4)\/(-12)*-3. Let r be (-4)\/(-16)*(-4)\/3. What is the nearest to 0.2 in 0.3, r, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 26*q**2 + 872*q - 22253. Calculate n(26).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glbb when four letters picked without replacement from xxgxlggobxbl.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.06497 grams in nanograms?\nAnswer: 28064970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 + 1 + (-9 - -9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185968321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/2 - 793*i**2 - 410852*i + 3337312 = 0 for i.\nAnswer: -418, 8, 1996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 < -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -40.00000021. Round n to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - -4) + (-3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 55*f**2 - 7*f - 286. What is the remainder when a(-55) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 678 divide 33981360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 7*s + 8. Let k be h(8). Suppose -4*o + 5*d + 8 = -5, d = -o + 1. Let f(r) = -6 + 2 + o*r - 3*r. What is f(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 26*n**2 + 27*n + 33. Calculate a(27).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ill when three letters picked without replacement from lliil?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 6, 107, 1 in descending order.\nAnswer: 107, 10, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4.676 times -5\nAnswer: -23.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 5 - (1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, j: 3}. What is prob of picking 1 j and 2 s?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:44 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**3\/6 + c**2\/2 + 20*c. Let b(l) = 3*l + 4. What is 2*b(r) - 7*o(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39810040 + 0.2.\nAnswer: -39810039.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 175690, 351521, 527354, 703189?\n\"Answer: l**2 + 175828*l - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 7 + 7)*(-35 - 433 - 52 - 347).\nAnswer: 4335*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*k = -0*x - 14, 0 = 3*x - 4*k + 23. What is the tens digit of (-4293)\/x - (1 - 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/31140 and -119\/1980.\nAnswer: 342540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3628*j - 343*j - 3283*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -15, 4 in ascending order.\nAnswer: -15, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 1732*r**3 - r + 574*r**3 + 581*r**3 - 8 + 581*r**3 - 178 as t*r + s*r**2 + n + c*r**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-42)*(28\/(-4) - -3).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.38 (b) 1 (c) 3\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -3 (c) 0.6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12551110?\nAnswer: 2, 5, 11, 13, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**2 + 11*g + 11. Let m(j) = 2*j**2 + 3*j + 3. Let b(l) = 22*m(l) - 6*t(l). Let f(a) = 4*a**2 + 6*a**2 + 3*a**2 - 11*a**2. What is f(b(r))?\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -360, 340, 2230, 5904, 11956?\n\"Answer: 99*v**3 + v**2 + 4*v - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1548 + -1546.306. Let x = j - -0.306. Sort -4, x, 0.1, -13 in decreasing order.\nAnswer: x, 0.1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 65, 119, 195, 293, 413, 555?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q. Suppose -2 = -5*s - z - 5, -6 = -2*s + 2*z. Suppose 9*h - h - 16 = s. Let t(w) = -30*w**2 + 96*w**2 - 32*w**h - 35*w**2. Determine f(t(k)).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.5 (c) -0.03904\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*p - 35, 0 = 5*j + 4*p - 83 + 14. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by -7311\nAnswer: -43\/7311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (1 - 4) - -2. Let q be (f + -5)\/(207\/6). What is the fourth smallest value in 4, 2\/5, 1, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 769 - 3075\/4. Which is greater: -2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.972927913 to 1 decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -w - 3*p - 2, p = -3*w - 74. What is the common denominator of (3\/(-20))\/(2\/(-5)) and 792\/85 + w\/204?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32758387 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*g = 422 + 2638 + 357 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwizz. Give prob of sequence zwz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 30. Let l be v(-24). Let m = l + 18. Suppose 4*z = 24 - 4. Solve -7 = -2*p + 5*k, -2*p + 4*p - 3*k - z = m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66763?\nAnswer: 66763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -668693 by 668693.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 248. Calculate the remainder when r is divided by 53.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2404 + 0.0404. Let u be -1 + (1 - 1\/1). Let s = -146 + 585\/4. What is the nearest to u in 5, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3200, 3194, 3188, 3182, 3176, 3170?\nAnswer: 3164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*l - 27 = 5, 0 = -3*l - 15. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 1. Let b(u) = 2*u - 4. Let s(k) = -b(k) - 3*o(k). Suppose 9 + 6 = -5*l. What is s(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/12 - 2*y. Let r(h) be the first derivative of 0*h**2 - 2 + 0*h - 2\/3*h**3. Calculate w(r(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9886 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 9:45 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 - 59*f - 10. What is the remainder when 840 is divided by h(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/80 - ((-1)\/(-6) - 109\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.4 (b) -1 (c) 1 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 783000.1 decades in centuries?\nAnswer: 78300.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**3\/6 + 2*y**2 + y. Let n be (0 - 0\/1) + -2 + 4. Suppose -3*g - n*g + c + 25 = 0, 4*g - 20 = -5*c. Give t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/(-70))\/(7872\/526440).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89404706773.76525169 + 89404705423. Let k = -1373.765252 - j. Let b = k + 23. Round b to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.124, -11, -223, 5, -5, -2\/7 in decreasing order.\nAnswer: 5, 0.124, -2\/7, -5, -11, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -45. Let d be 4\/12 - (-16)\/q. What is the biggest value in 3, d, -0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.04 + 0.04. Let r = 8 - 7.9. What is the second biggest value in r, 3, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -216*a + 259*a + 258 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799328 divided by -1399664?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*a - 19, -3*o - 9 = -4*o + 3*a. Find the third derivative of o + 308*u**2 - 40*u**3 - 282*u**2 - 3 wrt u.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 49 and 49 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7*p = 0. Which is the closest to 12? (a) -5 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**6 - 355*v**4 - 140*v**3 - 2*v**2 + 190635*v?\nAnswer: -120*v**3 - 8520*v - 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -23*p - 3. Let d(b) = 2*b. Let f(a) = -6*d(a) - k(a). Let n(l) = -l. Calculate f(n(s)).\nAnswer: -11*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 8:02 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxjp when four letters picked without replacement from xdhdgddphddhgggj.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oih when three letters picked without replacement from hihhihhogihhgoih.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 + 11. Let o(h) = 37 - 119 + 29 + 37 - 6*h**2. What is 5*o(y) + 7*t(y)?\nAnswer: -2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/2*6*1\/(-35). Suppose 5*s = -d + 14, -3*d - d = -2*s + 10. Which is the nearest to -0.1? (a) d (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 23*o**3 - 99*o**3 - 114*o**3 + 3*o**3 in the form u*o**3 + d*o + q + j*o**2 and give u.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12 = 2*q + 4, -2*q + 3 = -x. Which is bigger: q or -2\/145?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0, -2, -10206?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 197864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -196*o**5\/3 + 60928*o**4\/3 - 1000340*o**3 + 32428000*o**2\/3 + 244904000*o\/3 = 0.\nAnswer: -5, 0, 220\/7, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5)\/t)\/((t\/t**(1\/4))\/t*t))**(2\/7) assuming t is positive.\nAnswer: t**(-27\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m - 6. Let u(t) = 14*t - 7. Calculate -7*h(w) + 6*u(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, 25, 57, 111, 193, 309?\n\"Answer: l**3 + 2*l**2 + 3*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by (-6 + 1)*(4 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/1*(-5)\/(-10). Suppose -l*n - 1 = -3. Solve 0*w - n = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/7))**4)**(-43) assuming p is positive.\nAnswer: p**(-688\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 285469 + -135468. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22939 - -22938.9. Which is the second biggest value? (a) 6 (b) -1 (c) x (d) 2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 49*o**2 + 4301*o. Let w(u) = 2*u + 1. Calculate h(w(r)).\nAnswer: 196*r**2 + 8798*r + 4350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/4))\/((c**(-8)*c)\/c)*c*c**1*(c*c**(-7))\/c*(c**(-8)*c*c)\/(c\/(c\/c**1))*((c\/c**(2\/7)*c)\/c*c)**(-2\/27) assuming c is positive.\nAnswer: c**(-725\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.97982 tonnes in micrograms?\nAnswer: 14979820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 65, -4, 1\/2, -1.1, -3, -0.3, -0.2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*t = -288*t + 501 + 507 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1043417546 + 0?\nAnswer: 1043417546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 2*v**3 - v**2)*(7*v**2 - 1 + 1) + (-3*v - v**3 + 3*v)*(-4 + 4*v**2 + 4).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*w - 10 = 0, -i - 4 - 4 = 3*w. Let n be -1*2 - i - -1. Let x be (5 - -1)*n\/2. Put x, -1\/6, 0.1 in decreasing order.\nAnswer: x, 0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149 - 76. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52122 + 2*m - 130592 - 174487 - 37137.\nAnswer: 2*m - 290094","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*v + 419*v - 211*v = 0. Which is bigger: 1\/4079 or v?\nAnswer: 1\/4079","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*k - 5*f**3 - 38*f**2 + 416056*f*k + 6*f - 2 with respect to k.\nAnswer: 2*f**3 + 416056*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 1:56 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 2*c - 5*c + 6*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -178 - y + 523*y**2 + 48 - 528*y**2. Determine b(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78590 by -4.\nAnswer: 39295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 10.6. Let l = 323.3 - 306. Let z = l - k. Round z to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-69)\/(-253))\/((-204)\/(-51238))).\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 283211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25d (base 16) to base 10.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2 = -2*s + 4*s, -7*i = -5*s - 8*i + 38 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 11 - 7. Let s be ((-8)\/16)\/((-6)\/4). Which is the third smallest value? (a) i (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 292.59 - 292. Is d not equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + 8*a + 8. Let f(k) = -k**2 + 3*k + 3. Let u(y) = -3*c(y) + 8*f(y). Let m(z) be the first derivative of -35*z**2\/2 + 9. Give m(u(l)).\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 14667?\nAnswer: 14671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.3. Let q = -5 + -10. Is v >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 4 + 4)*(-484 + 484 - 91*j**2) + (-3 + 0 + 4)*(2 + 73*j**3 - 160*j**3 + 18*j**3) in the form p + v*j**3 + y*j + a*j**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = p, 2 + 7 = -3*s - 5*p. Is (-38 + 36)*(-21313)\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + (5 + sqrt(1900)*-3 - sqrt(1900))**2 - sqrt(1900) - (((-1 + sqrt(1900))*-2 - sqrt(1900)) + sqrt(1900))**2)*4 + 0)*-3.\nAnswer: -273852 + 3840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6.08 times 4\nAnswer: 24.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/198 + 109\/1980. Let o(g) be the second derivative of -1\/24*g**4 + 0*g**3 + 2*g + 0 + 0*g**2 - 1\/60*g**6 - p*g**5. Factor o(q).\nAnswer: -q**2*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*k - 26, -4*k - 4*z - 18 = -z. Let a = k + 12. Let m(n) = -7*n + a*n - n. Let c(x) = 2*x. Determine c(m(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(2*o + 4*o - o)*(-7 - 19*o**2 + 7).\nAnswer: -190*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 18. Let n be (-2)\/(-9) - (182\/9 - 1). What is the remainder when 12 + -6 + (0 - n) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 59.029. Round z to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.5, 0.3, -10\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -25, -54, -95, -148, -213, -290?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(50) + -1*sqrt(50)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -1\/120*x**6 - 1\/8*x**4 + 0*x + 0 - 6*x**2 - 1\/3*x**3 + 7\/60*x**5. Does 8 divide g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3486 and 14543426.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2890, 2\/465, -2, 3, 2?\nAnswer: 2\/465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*t - 35 + 119. Suppose 2*d - 3*u = 2023 - 541, t*d - 2197 = -2*u. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/((-2)\/(-4)). Suppose 1 + m = i + 2*s, -i + 12 = -2*s. Let y be (-10)\/(-25) - (8550\/125)\/(-19). Solve 2*o = -5*f + 3 + i, -f = -y*o - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -540.9 + 540.5. Put d, -241, 2\/19 in descending order.\nAnswer: 2\/19, d, -241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*t + 47 = -9, 196 = 4*j + 2*t. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/35115803?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168283337?\nAnswer: 487, 345551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25 - (-408)\/(-17) - (0 + -1). Solve -2*p = -4*h + n - 4, -33 = -5*p - 4*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*k - 810 = 314, h - 2*k = 285. Let d = -63 + h. Suppose -d = 3*v - 1117. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 7*f - 5*f**3 - 9*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 9\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/((-6)\/(-24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87236929*y**2 + 4*y - 4*y + 87236930*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 2122.02211.\nAnswer: 424.404422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = 5. Suppose -3*k - 3 = 3. Put k, i, 0 in increasing order.\nAnswer: k, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 22. Suppose y + 2 = -p, -p = 3*p + 5*y + 10. Let o = 0 - p. Is f(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r + r)*(51*r + r - 7*r) + (0 - 2 + 7)*(-2 + 3*r + 2)*(-4 + 4 + r).\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 37.018. Let d = n - -20.018. Let z = 21 - d. What is the closest to z in 3, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(294) + sqrt(294) + 1*sqrt(294))\/sqrt(7))\/sqrt(6) + 2)**2 + (sqrt(42)\/(sqrt(42)\/sqrt(7)))**2 + sqrt(343)*4 + sqrt(343).\nAnswer: 77 + 47*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4\/5 (b) 1\/3 (c) 9 (d) -3225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203352022*u**6 + 83*u**2 + 8*u - 90957 wrt u?\nAnswer: -24402242640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1462060 and 21396?\nAnswer: 4386180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.8 (b) 0.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20249 = 643*h + 266*h - 2662 - 7995 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 36179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - v)*(4*v**3 - v**3 - 2*v**3) + 4*v**3 + v**4 - 4*v**3 - 3*v**4 + 5*v**4 + v**4 - 2*v**4 + 4*v**4 + 0*v**4 + 2*v**2 - 2*v**2 - 2*v**4.\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 2*z**3 - 14*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61344053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5204.5 to the nearest one hundred.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 4:00 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyyiiiiiyiyyyyiyyi. Give prob of sequence yiii.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**2 + 3*w + 4. Let q(n) = -42*n**2 - 13*n - 17. Let c(r) = -9*f(r) - 2*q(r). Determine c(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**7\/3 + 2*f**6\/15 - 63*f**5\/5 - 130*f**4\/3 - 169*f**3\/3 - 30*f**2 - 2645*f. Solve h(n) = 0.\nAnswer: -3, -1, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 30, 3, -13 in ascending order.\nAnswer: -13, 3, 20, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 7:12 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -43543502 (base 6) in base 12?\nAnswer: -52ab92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514013 equal to 1514031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (5 + 3 + 1)) + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 291636 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/943 - -410165\/3772. Let c = k + -241\/2. Calculate the common denominator of c and -11\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetttpfpk. What is prob of sequence tp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 25 - 10. Solve 17 = -5*i + c*f - 3, -5*i + 2*f - 23 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-1\/32))**(-30)\/(z*z*z**(2\/9)*z**(-6))**(-42) assuming z is positive.\nAnswer: z**(-3763\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/105, -5\/3, 3\/5, 1\/13, 1\/9 in decreasing order.\nAnswer: 3\/5, 1\/9, 1\/13, 2\/105, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538408.2 millilitres to litres.\nAnswer: 538.4082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*z**2 - 6*z**3 + 8*z**3 + 360*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*1887\/7. Let o = 180 - w. Factor 0 + 2\/7*n**2 + o*n.\nAnswer: 2*n*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 1. Let b(i) = -i**3 - 6*i**2 - 6*i + 2. Let m be b(-5). Let y be (3\/(-4))\/(m\/(-28)). Suppose -y = -6*t + 3*t. What is d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 5:45 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from nwnwwnnniwiwwnnw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 132 = 2*y. Let l be -1*(-23 + 3) + 2. What is the greatest common factor of l and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*sqrt(144)\/sqrt(8))\/sqrt(9))**2.\nAnswer: -8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90367*c + 4620 = 90697*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-20))\/(((-4240)\/(-250))\/106)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22368032 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/1407*(1580\/(-90)*(-35)\/(-70) + 8)?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -2)\/(1 - 0). Let x(z) = -20*z**2 + 1 - 4 + 12*z**2 - z**3 + 7*z**2 + z. Calculate the remainder when 21 is divided by x(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*v = -257*v - 8561280. Does 208 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4018, -8114, -12210, -16306?\nAnswer: -20402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 103.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + m - 19, l + 4 = m + 3. Let u(k) = k - 5*k - l*k + 0*k. Let v(n) = -2*n**2. Calculate v(u(p)).\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 32*b + 21*b**2 + 35*b - 16.\nAnswer: 21*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 6*q + 3. Let d(u) = u**2 + u. Let k(g) = 2*d(g) - l(g). Let x be k(5). Find the third derivative of -z**3 - 2*z + x*z**2 + 2*z wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*i + 5*y, -i - 2*y = -4*i - 46. Let p be (-99)\/12 - (-2)\/8. Let j = p - i. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -1 + 274603794951\/4524. Let b = g + -60699324. Let w = -3\/754 + b. What is the common denominator of 29\/4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + ((-2880)\/(-48) - 15) - (-2 - 127)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 830 = 5*s - 295, l - 2*s - 108 = 0. Calculate the remainder when 1463 is divided by l.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = 3*q, -2*p - 4*q = -5*q - 4. Factor 17*k**4 - 8*k**2 + p*k**3 + 4*k**3 - 20*k**4 + 7*k**4.\nAnswer: 4*k**2*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6196101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4*1*(-28)\/(-42). Let a(u) = 14*u. Let h be a(p). List the prime factors of 526\/h - (-27)\/63.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.5 - -5. Let z = 3.5 + x. Which is the third smallest value? (a) -0.3 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 4099 - 4099.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20451*p + 20227*p - 2688 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0. Let k = 16 + -13. Let o = k - -3. Sort 4, o, g in decreasing order.\nAnswer: o, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -21253795*u**2. Let h(i) = 13*i**2. Determine h(r(n)).\nAnswer: 5872409424726325*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence laz when three letters picked without replacement from {z: 7, w: 3, h: 5, a: 3, l: 1}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haffafkfffaaaoakk. Give prob of sequence ofh.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2874087, -2874090, -2874095, -2874102?\nAnswer: -2874111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 20. Let u = o + -16. Solve u*j - 2*j - 33 = -5*p, 17 = 5*p - 2*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f, -71*f + 25 = 4*y - 72*f. Let i(k) = -2*k + 5. Calculate i(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -249, -672, -1275, -2064, -3045, -4224?\nAnswer: -5607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from {g: 9, a: 2, y: 3, s: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1910 by 5.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3008 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 34*z**2 - 428*z - 145. What is a(-12)?\nAnswer: -1633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6064 is divided by 62?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -4, 227, -19 in decreasing order.\nAnswer: 227, -4, -19, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/3 - 73*h**4 - 421*h**3\/3 + 953*h**2 + 8270*h\/3 + 1736 = 0.\nAnswer: -217, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 34253.\nAnswer: -44\/34253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.9 and 4326614649.53?\nAnswer: 4326614641.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 10:23 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 10:40 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a26 (base 11) in base 4?\nAnswer: -330330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3*(sqrt(5) + (sqrt(320)\/sqrt(8))\/sqrt(8)) - ((sqrt(5) + 3 + sqrt(20)\/sqrt(4) - sqrt(5)) + (sqrt(55) - sqrt(495))\/sqrt(11))))**2*-5.\nAnswer: -750 - 250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -153093*f**2 + 9*f + 1021391?\nAnswer: -306186*f + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let c = 541 - 273. Let g = 268.3 - c. What is the second smallest value in f, g, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0*n + 1 - 2 + n. Let k be v(-1). Sort 5, k, 4 in increasing order.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 21*o**2 - 56*o - 56. Let s(l) = 2*l**2 - 5*l - 5. Calculate -5*n(t) + 56*s(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*u - 16 = 0, 2*i + 28 = 7*i + 2*u. Let r be (i\/10)\/(3\/30). Suppose 5*v + 4*n - n - 250 = 0, -r*n - 150 = -3*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttktkktt. What is prob of sequence tk?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Suppose j + 4 = -f*j, 2*z + j - 22 = 0. Solve 2*l + 11 + z = 5*y, 26 = -3*l + 5*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**5 - b**5 - 2*b**5)*(7 - 5 - 9) + (-4*b + 3*b + 3*b)*(b**4 - b**4 + b**4) - 2*b**5 + 3*b**4 - 3*b**4.\nAnswer: 28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109151395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:41 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*l - f - 19, 0 = l + f + 5. Let i(d) = -12*d - 7. Does 23 divide i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*i - 92 = 0, 4*i - 76 = l + 2*l. Let u = l - -30. Suppose -4*t + 8*t + a = 21, -3*t = 3*a - 18. What is the greatest common factor of t and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -0.4 (c) 88\/47 (d) -3 (e) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175635 + 247082. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48483 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(75) - sqrt(75)) + sqrt(96)\/sqrt(2) - (6*(sqrt(48) + sqrt(3)) + 3))**2.\nAnswer: 208*sqrt(3) + 2044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -158, -161, -180, -221, -290, -393?\n\"Answer: -f**3 - 2*f**2 + 10*f - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 878374 + 141834. Let n = y - 93104. Round n to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 406004.814 to the nearest one hundred.\nAnswer: 406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-238)\/4641 - (-8202)\/234?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 26. Let j be f(-11). Let z be (6\/j)\/((-4)\/10). What is the highest common factor of z and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*d**3*n*w**3 - 2*d**3*n + 24*d**3*w**2 + 10*d**2*w**3 + 13*n wrt n?\nAnswer: 6*d**3*w**3 - 2*d**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**5 - 2*m**4 - 24*m**3 - 8*m**2 + 32*m = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 349, 1454, 3311, 5920, 9281?\nAnswer: 13394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -14.83 and -276\/31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 2, 4, -1 in decreasing order.\nAnswer: 4, 3, 2, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -4 + 2 - (-80)\/(-45). Let m = -5.12 + 5. Which is the biggest value? (a) 2\/13 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (3077\/(-212) - (-477 - -466))\/((-3)\/(-12))?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, l: 1, m: 3, w: 1, j: 4}. Give prob of picking 1 y, 1 j, and 2 m.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137602285 by -199135.\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/(-12))\/3*(13 + (-5681)\/429). Let k = 5 - -1. Let o = 0 + k. Which is the smallest value? (a) o (b) r (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -56\/1861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 - 126*z**2 - 2046*z - 1922 = 0. What is z?\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0384, -2\/9, -1, 4 in increasing order.\nAnswer: -1, -2\/9, 0.0384, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 92*c - 432 = -11*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g**4 + 105748*g**3 - 1491815*g**2 + 5278714*g - 231672 = 0. What is g?\nAnswer: -2364, 2\/45, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 1. Let w(h) = 147*h**2 + 4*h - 7. Determine -8*g(x) + w(x).\nAnswer: 131*x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37, -58, -79, -100?\n\"Answer: -21*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**2*o - 211809*n*o + 249349*o + 2 wrt n?\nAnswer: -2*n*o - 211809*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*i = -14, 0 = -r - 9*i + 5*i - 48 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1\/211 + (3 - 2). Is 0 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y - y)*(-846 + 603 - 1391)*(-5*y + 5*y - 3*y).\nAnswer: -9804*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - w - w)*((14 - 3 + 11)*(4 + 2 + 7) - 3 + 1 + 0 + (0 + 1 - 2)*(-1 - 4 + 4) + 2 + 0 - 3) to the form y + o*w and give o.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 - y - 23*y**4 + 24*y**4 - 73*y**2 + 5*y**3 as i + n*y + j*y**3 + q*y**4 + v*y**2 and give v.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 888*b**4 + 33*b - 888*b**4 + 174*b**5 wrt b?\nAnswer: 3480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920128700 rounded to the nearest 1000000?\nAnswer: 920000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) 0.1 (c) -28543\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 265, 533, 803, 1075, 1349, 1625, 1903?\n\"Answer: w**2 + 265*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4532742, -18130982, -40794714, -72523938, -113318654, -163178862, -222104562?\n\"Answer: -4532746*v**2 - 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 - 418\/342.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eetyeeetytee. Give prob of picking 2 t and 1 e.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 80, 67, 50, 29, 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a**2. Let d be l(2). Let m(w) = -w + 1. Let t be m(-1). Solve d = -0*g + 2*g - t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/462 and 25\/1617.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4126112 or -4126111?\nAnswer: -4126112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 333.7402?\nAnswer: 4338.6226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.979 + -1.979. Let h be -1 + 1 + (-6)\/21. Which is the third biggest value? (a) -9 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11344 and 3746?\nAnswer: 21247312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7669, -15334, -23001, -30670, -38341?\nAnswer: -46014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 62*u + 968. Calculate m(-16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*r + 1735 - 1735 - 1156*r + 583*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33562127569 - 2*b**2 - 33562127569.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + -114 + 115.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 57 = 3*i, -i - 14 - 8 = -2*m. Solve -4*j + m*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 1}. Give prob of sequence cqcc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25313947681\/10466436 + 1\/872203. Let h = 2421 + z. Find the common denominator of h and 137\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 2*y - 1\/6*y**3 - y**2 + 1\/16*y**4 + 0 - 1\/120*y**5. Let x(h) be the first derivative of m(h). Find j, given that x(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -455 + 349. Let g = t + 115. Calculate the smallest common multiple of 90 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(19) + (2*sqrt(114) + sqrt(114))\/sqrt(6) + sqrt(38)\/sqrt(2) + -2 + -4 + sqrt(931) + -2)**2.\nAnswer: -192*sqrt(19) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -13 + (42135016 - (-5 - -8)). What is i rounded to the nearest 100000?\nAnswer: 42100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 10. Let y be d(-5). Suppose n - 41 - 37 = y. What is the remainder when n is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 + 3 + 2*k - 2 + 5*k**2. Let r be c(1). Let f(b) = 10*b + 42. What is the hundreds digit of f(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.5, 2, 7, 102\/31, -400, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 3960*d**4 + 1074944*d**3 - 45747928*d**2 - 1074948*d + 45751888 = 0. Calculate d.\nAnswer: -1, 1, 52, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79270 >= 16888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and -5.35?\nAnswer: -363.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 8*p - 4*p**2 + 2*p)*(-342*p - 346*p + 196 + 690*p).\nAnswer: -8*p**3 - 794*p**2 - 980*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 153?\nAnswer: 14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1436081*m. Let l(i) = 14*i + 6. Let z be l(-2). Let y be x(z). Let s = -46093782 + y. Round s to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 30 = f, 6*g - 5*g = 3*f + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 7*u**2 - 7*u + 4. Let k be n(-8). Let r be (-2)\/k*(-64)\/(-8). Let b be 1\/1*-1 + 13. What is the greatest common divisor of r and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*h**2*r**3 + 2*h**2*r + 2329*h + 115*r**2 wrt r?\nAnswer: -132*h**2*r + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:15 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 2 = -8*s. Suppose s*y = y + 380. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + c)*(173*c - 158*c + 141*c + 155*c + 247*c).\nAnswer: 1116*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 28*p**2 + 56*p - 112. Let b be u(26). Let n(c) = -2*c**3 - 8*c**2 - 6*c - 8. Let i(a) = -a**3 + a**2 + a + 1. Calculate b*i(s) - n(s).\nAnswer: 10*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -30484204323688.\nAnswer: -30484204323693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213039217.\nAnswer: 4519, 47143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1190 and 712810.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 38, -8 in ascending order.\nAnswer: -8, -5, -3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 + -890?\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + t**2 - t - 1. Let n(s) = -7*s**3 - 4*s**2 + 5*s + 6. Let v(b) = -b**3 + 5*b**2 + 6*b + 1. Let g be v(6). Give g*n(z) + 5*l(z).\nAnswer: -2*z**3 + z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1264 - -1266. Factor 4 + 26\/3*o + 10\/3*o**p.\nAnswer: 2*(o + 2)*(5*o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - (-131 + 107)) + -149.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2027.7 - -2104.7. What is the closest to 0.3 in w, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - 6*sqrt(220)*1)\/sqrt(4))\/(sqrt(605) - sqrt(605)*1 - sqrt(605) - -2*sqrt(125)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w + 5*y - 308 = 0, -12 = -3*y. Let a(z) = -z**3 + 9*z**2 + 3*z - 76. Let k be a(8). What is the highest common factor of w and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/2 of a century?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1008, 1006, 1004, 1002, 1000, 998?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 534 and 12453147?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1098100216 to the nearest integer?\nAnswer: 33138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*p + 24*p + 25*p)*(-p + 12*p**2 - 10*p**2 - 3*p).\nAnswer: 68*p**3 - 136*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/20 and 9\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*1 - sqrt(108)) + -3)**2*-2 + (0 + sqrt(3)*2 - sqrt(24)\/sqrt(2)) + -4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t - 4*m - 200, -4*t = 5*m - 160. What is the remainder when 199 is divided by t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - 17a4d?\nAnswer: -17a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -20764.32972 to the nearest ten.\nAnswer: -20760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9 + -1.99. Let w = 0.29 + b. Let o be ((1 - -1) + 2)*-1. Is o at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**3\/3 + 29*z**2\/2 - 26*z - 9. What is m(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 15*f**3 + 5*f**3 - 8*f**3 - 21*f**3.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4544 minus 1?\nAnswer: 4543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38900 minus -8552.17639?\nAnswer: -30347.82361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2257, 2258, 2261, 2266?\nAnswer: 2273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/10)\/((-630)\/60).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 70*f + 1183. Determine l(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 22. Do 1 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-4))\/((-3)\/(-64)). Calculate the highest common factor of y and 320.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2748 - 5583 - 2*r + 2720 to the form l + h*r and give l.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 30. Let x(a) = -4*a + 15. Let z be x(b). Suppose 9*y + 24 = z*y. Solve -w = -y + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, d: 2, q: 2, k: 3, o: 2}. Give prob of picking 1 o and 1 d.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 - 2*r**2 - 5*r - 8\/3.\nAnswer: (r - 8)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*a - r - 0*r - 6, 44*r - 39*r - 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1006 + -1123.4. Let v = m + 117. Which is the closest to -5? (a) -4 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 16 - 1, -12 = -4*h - 4*k. Suppose -4*o = -0*o - h. Suppose -1 = f + 3. Which is the second smallest value? (a) 3 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - (-5 - -5)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005734 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7.52 times 2.03\nAnswer: -15.2656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k = -139*k + 1584. Solve -k*l + 105 + 49 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(3\/5)*f)\/(f**(-3\/2)\/f)*f\/(f\/f**0)*f*f**(-1\/17) assuming f is positive.\nAnswer: f**(823\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 49860.3 hours?\nAnswer: 179497080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:34 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - (4 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.210674 meters in millimeters?\nAnswer: 9210.674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j = -5*g - 5, 0 = 4*g - j + 4. Let h be 1 - ((-17)\/3 + (-10)\/(-15)). Calculate the remainder when 19 is divided by 0 - g - (-60)\/h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/36 - 149*a**3 + 599427*a**2\/2 - 11*a - 3. Let m(q) = 0. What is q?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1518940.5, -0.4, 0.\nAnswer: -0.4, 0, 1518940.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 3*a)*(-1 - a**2 + 1) - 6*a**3 + 2*a**3 + 9*a**3 + (-a**3 + 2*a**3 + a**3)*(1 - 1 + 1) - 11*a**3 - 3*a**3 + 3*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*((-7)\/(-2))\/((-4)\/6). Calculate the greatest common divisor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157.1 - -157. Which is the nearest to x? (a) -3 (b) 1 (c) -0.02 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + -26. Find the common denominator of 2\/5 - 238\/(-30) and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1542393634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -13*q + 11*q. What is the highest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39\/((-148005)\/94908) + 25)\/((-2)\/20). Let s = -22.92 - -29.8. Let i = s + 0.12. Which is the second smallest value? (a) o (b) -4 (c) 0.5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*a - 7*a. Suppose -3*t + 5 = -5*y - 14, y = 5*t - 17. What are the prime factors of t\/a - 2\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -65*l**2. Let s(i) = 51*i**2 - 17*i - 17. Let j(u) = -2*u**2 + u + 1. Let t(m) = -17*j(m) - s(m). Give n(t(c)).\nAnswer: -18785*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 2*p - 9. Give u(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g + g)*(-2*g**3 - 5*g**3 + 0*g**3) + 2*g**4 - 4*g**4 + 0*g**4 + (-3*g**3 - g**3 + 2*g**3)*(2*g + 0*g - g) + 2 - 2 + g**4.\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 l, and 1 e when four letters picked without replacement from hnslnqes.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1751635.\nAnswer: 5, 73, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/52232691 and 3\/27623?\nAnswer: 1201351893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 1. Let q(k) = 3*k - 2. Let z be q(1). Calculate the remainder when 1 is divided by i(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 459*h + 356*h + 5*h + 141*h + 7*h - 2*h + 0*h + 4*h - 4*h + 4*h + 2*h + (2*h - h + h)*(-3 + 1 + 4).\nAnswer: 976*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(5\/9)*(t*t*(t*t**(-1))\/t)\/(t\/((t*t**(-2\/7))\/t*t)))\/(((t\/t**0)\/t**(-2\/17))\/(t*t**(-1))**(-35)) assuming t is positive.\nAnswer: t**(-48\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 494 - 166. Suppose 6*i - 1646 = j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 823973*j**2 - 917118.\nAnswer: 1647946*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -12) + 1 + 3 + -7. Suppose -4*w - 167 = 3*m, -114 = 2*m + k*w - 2*w. Let r = m + 78. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75562 and -50?\nAnswer: -3778100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 5*s - 31. Let o be u(8). Let r = 19 + o. Let h(c) = -2*c + 28. Let l be h(r). Solve -5*x - 24 = -3*t, 5*x + 5 = l*t - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -445\/14 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + w + w + w**3 - 14*w**2 - 22 + 1. Suppose 2*j + m = 68 - 4, 0 = -5*m - 20. Calculate the remainder when j is divided by i(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199 - 199.0428. Let u = z - 0.3572. Let s = 4 + -7. Sort -0.5, s, -4, u in ascending order.\nAnswer: -4, s, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -25*p**3\/6 - 19*p**2 - p + 1005. Determine y(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -151\/2. Which is the closest to 1? (a) 4 (b) f (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6064 and 275024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 40*i + 301 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 + 9*v + 1. Let t be c(4). Let 12\/5*z**4 + 6\/5*z**2 + 3\/5*z**t + 0 + 0*z + 3*z**3 = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 5*b**2 + 2*b**2)*(434 + 558 - 415).\nAnswer: 2308*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*w - 10 = 0, 2*f - 3*w - 14 - 9 = 0. Solve -5*l - 6 = -l + 2*a, 0 = f*l - a - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7579745447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) + 0)**2 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -17*q + 26. Let z be a(0). What is the third derivative of 264 - z*h**2 - 47*h**2 - 264 - 3*h**6 wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y - 2*y)*(6*y**3 - 2*y**3 + 2*y**3) - 57*y + 57*y + 4*y**4 + 2*y**4 + 5*y**4 - 5*y**4.\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2205754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 38*l - 344. What is u(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*v = 20, 0 = 4*t - 2*v - 11 - 1. Suppose 5 = -3*b - 5*x - 8, -2*x - 14 = -b. Suppose -s - 3*h - 6 = 3*s, -3*h - 6 = -b*s. Is s less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1869 and 868.\nAnswer: 231756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192 + 734. Let t = -418 + d. Is 31 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 7*z + 4*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j - 4 + 61*j - 32*j + 3*j**2 in the form g*j + s + n*j**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -17, -37, -65, -101, -145?\n\"Answer: -4*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*sqrt(88)*1 + (sqrt(88) + (sqrt(88) - 1*sqrt(88)))*2))\/((sqrt(1960)*1)\/(-1*2*sqrt(5))).\nAnswer: -24*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 - 4.1. Which is the second smallest value? (a) q (b) 1.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 10\/(-16) + 0. Let k = -1.9 - 0.1. Put c, k, -3 in increasing order.\nAnswer: -3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 2298472.93?\nAnswer: 2298473.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3730)\/(-18) + 4 + -1. Let m = n - 210. Which is the second biggest value? (a) -4 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.55206m to centimeters.\nAnswer: 6555.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236639607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.000035 - -17. Round k to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 + 3 + (-8 - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) - 1*(-1)\/4. Let c = -0.809 + 0.909. Sort c, 1\/5, k, -37\/5.\nAnswer: -37\/5, c, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5)*5)\/((-10)\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -290 - -640. Is o a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/353 + 724\/3177. What is the second biggest value in -1\/4, 0.3, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 10557?\nAnswer: 10557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 1 + 0)*(927 - 927 - 807*a + (-2 + a + 2)*(5 - 5 + 1) - a + 0*a + 0*a) as f*a + t and give f.\nAnswer: -4842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**4\/12 + x + 191. Let d(y) = -2*y - y + 8*y. Calculate t(d(u)).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1538773 (base 12) to base 14\nAnswer: -8019c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104703686*i*m**3*y**2 + 43806919*i*m*y - m**3 wrt y?\nAnswer: -209407372*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.68 and 26.81?\nAnswer: 232.7108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47756, 47713, 47670, 47627, 47584, 47541?\n\"Answer: -43*s + 47799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03642 and -192.6?\nAnswer: 192.63642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7558 divided by -4.\nAnswer: 3779\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 = 7, d + 2*n - 42 = 0. What is the units digit of (-2)\/4 - d\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7350.686 weeks in hours?\nAnswer: 1234915.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235000602.\nAnswer: 2, 3, 41, 35381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 93*w - 348. Let t be d(4). Calculate the highest common factor of 156 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14586 - 0.04586. Let u = -3.6 + 4. What is the nearest to -6 in z, 2, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + -2301?\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 215, 437, 659?\n\"Answer: 222*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29286, 58962, 88638, 118314, 147990?\nAnswer: 177666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 3*x, x - 8 = -f. Suppose -6*h = -3*h - f. Let p be (-2)\/h + 5\/10 + 0. Solve 5*l + 0*l = p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.6 + 8. Let x = q + 0. Let j = 1.71 - 2.01. What is the second biggest value in 1, j, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 166974677.1ns?\nAnswer: 0.00000027608246875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2637)\/586*(1 - 3 - (-112)\/(-3)).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.2 - -4.4. Let z = -3.8 - w. Which is the smallest value? (a) -0.3 (b) z (c) 1.2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 76. What is the greatest common factor of g and 1178?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 9. Let y be -3*3*(t - -2). Let d be (-13 + -2)*y\/(-15). Calculate the greatest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - f + 3 - 10 = 0, -f = -u + 4. Let h(q) = q**3 - 6*q**2 + 26*q - 105. Let d be h(5). Put -4, d, u in descending order.\nAnswer: u, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0 - -3) + -17. Let j = 11 - 25. Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 2. Suppose -3*i + 9 = -3*r, 12 = 2*r + 3*i + i. Suppose -3*s = -r*s - 54. Calculate the least common multiple of b and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/443 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88551362?\nAnswer: 2, 19, 43, 54193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrtutttq. Give prob of picking 1 u and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.02 + -0.02. What is the second smallest value in 0.4, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Suppose 0 = 3*g + 2*n + 161, -2*n - 31 + 188 = -3*g. Let q = -52 - g. Solve q + j = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1795.475t to nanograms.\nAnswer: 1795475000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 60*g - 2. Let m be j(4). Suppose 4*q - m + 46 = 0. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isveeehveemev. Give prob of picking 2 e and 1 v.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -16\/665, 4\/3, 3\/17, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 305 = 309 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + -2 + sqrt(1573) + 5)**2 + (((sqrt(13) - (sqrt(91)*-1)\/sqrt(7)) + sqrt(13))**2 - sqrt(65)\/(sqrt(45) - sqrt(5))).\nAnswer: 87*sqrt(13)\/2 + 1699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10))**29*v**19\/v**7 assuming v is positive.\nAnswer: v**(-278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5918.99992462 + 5919. What is u rounded to 6 dps?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31293, 31173, 31053, 30933, 30813, 30693?\nAnswer: 30573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1)**(-5\/6))**26)**(-2\/15) assuming p is positive.\nAnswer: p**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:13 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2 - 132*z + 268 = 0?\nAnswer: -134, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11 (b) 3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -r + 3*t - 20, -2*r = t + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39769.5 - -39769. Let x = -8 + 9. Which is the smallest value? (a) 17 (b) x (c) 0.13 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2549775, -2549929, -2550185, -2550543, -2551003, -2551565, -2552229?\nAnswer: -2552995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 9449*r - 18890*r + 9444*r + 3*r**2)*(4*r - 13*r - r) as j + b*r**3 + k*r**2 + i*r and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5876718 and -75.\nAnswer: -440753850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/399 + (-1236)\/(-252).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 86. Let f be j(-29). Let z(c) = 56601*c**2 + 5*c + 4. Let a be z(f). What is a rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 27*o + 8. Is 8 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/17 + 2290*b**3\/17 - 311044*b**2\/17 + 10779704*b\/17 + 11093040\/17 = 0. Calculate b.\nAnswer: -1, 62, 90, 994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2088*k + 9453. Give v(5).\nAnswer: -987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 33\/(-39) - 88\/(-572)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -445.174 + 444. What is t rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3306 (base 7) in base 10?\nAnswer: -1182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0188 + -0.2188. Which is the nearest to -2\/21? (a) 0 (b) 4 (c) x (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 + d**3 - 16*d**2 - 73 + 141 + 22*d - 78. Let n be i(10). Solve -t + 6*t - n = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -4, 4, 5.\nAnswer: -12, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3607.5 less than -5.28044711?\nAnswer: 3602.21955289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**4 - 2*k**3 + 7*k - 26. Let r(h) = -3*h**3 - 6*h**2 + h + 6. Let g(j) = -2*a(j) + 3*r(j). Determine g(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -r - r. Let f = r + 14. Suppose -f*x + 6*x - 8 = 0. Solve -13 = 5*q - 4*w, -x*q - w = 4*w - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1324 and -85\/12.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c + 53309?\nAnswer: 53365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 16*o - 19892 = -2*m, -5*m - 4*o + 49729 = 0. Is m a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84660809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430975?\nAnswer: 5, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -137*c + 142*c + 44063, 0 = -3*b - 4*c + 66014. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -25 + (-1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**6\/360 - r**5\/30 + r**4\/8 - r**3\/3 - r. Let x(d) be the second derivative of q(d). Let x(a) = 0. Calculate a.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 5. Suppose 5*x = 4*r + r - 90, -16 = 4*x. What is the least common multiple of y and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -3 + 0 + sqrt(847) + 2*(sqrt(847) + -1*sqrt(847) + sqrt(847)) + 1)**2.\nAnswer: -176*sqrt(7) + 13556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 8*p = 124, -16*p + 10*p - 13 = -7*p - p - 3 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.95 + -0.05. Let n = -24102.2 - -24102. Sort u, n, 1 in ascending order.\nAnswer: u, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:23 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -129*h - 8. Let n(y) be the third derivative of y**5\/60 - 896*y**2. Calculate b(n(u)).\nAnswer: -129*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/855734 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -4\/5 (c) -0.4 (d) -4\/41 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 436705881 a multiple of 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76295551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 9*q**2 - 13*q + 2. Let j(c) = c**3 + 8*c**2 - 12*c + 1. Let y(u) = 5*a(u) - 6*j(u). Let z = 1 - 6. Is y(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.86 - 21.84. Let z = 19.19 - 0.19. Is v at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/5, 138\/335, 5 in ascending order.\nAnswer: -2\/9, -1\/5, 138\/335, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 97. List the prime factors of r.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-12))\/(2\/(-4)). Suppose 5*r + i*l + 1 = 85, -4*r + 63 = l. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -10*q**4\/3 - 76*q**3\/3 - 46*q**2 - 32*q\/3 + 40\/3 = 0.\nAnswer: -5, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 - 14*o**2 + 2569*o\/6 - 414.\nAnswer: -(o - 23)*(o - 1)*(o + 108)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 43.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 2*p + 3*d, 6*p + 2*d - 163 = 3*p. Let f be (-15)\/(5 - 290\/p). Calculate the highest common divisor of f and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278658?\nAnswer: 2, 3, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1483339712 to the nearest integer?\nAnswer: 38514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6445 (base 7) to base 3.\nAnswer: 10010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23141940.\nAnswer: 2, 3, 5, 127, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-490)\/168)\/(-7))\/((-1445)\/(-136))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 999236 - 1057379\nAnswer: -58143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113\/322 + 3\/46. Which is greater: -1497\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76327, 152649, 228971, 305293?\n\"Answer: 76322*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2335013 (base 6) to base 16\nAnswer: 1db11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/50 and (-855)\/55 + 15 - (-3723)\/4950.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -9\/4, -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -376*p**4 + 7066*p**3*z**2 + 3829*p**2 + 4*p*z + 2*z**2 + 3*z - 4 wrt p.\nAnswer: -9024*p + 42396*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -16b63c?\nAnswer: 16b641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 3:59 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 89*i**6\/120 + 7*i**5\/60 - 1109*i**4\/24 - 95*i**2 + i. Find the second derivative of k(c) wrt c.\nAnswer: 534*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 14640 = -4*f, 7*c = -5*f + 5*c - 18333. What is the units digit of f\/(-2)*484\/605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -187 - -192. Which is the third biggest value? (a) 0.06 (b) u (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -27.2?\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 5. Let z = -4 - u. Suppose 36 = 6*h + z*h. What is the greatest common factor of h and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*p**2 - 10*p**2 - 3*p**2 - 23*p - 2*p**2 to the form c*p**2 + y*p + n and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l - 3. Let t be c(-2). Suppose 0 = 3*b - m - 0*m + 110, -85 = 3*b + 4*m. Let i be (b\/15)\/(6\/(-18)). Solve t*z + i = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 139*a - 152*a + 24*a)*(3*a**3 - 4*a**3 - 2*a**3) + 0*a**4 + 15*a**4 + 0*a**4.\nAnswer: 816*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 3*d**2 + 2*d - 4. Let y be j(3). Let g = 121 + -104. Calculate the remainder when (-1)\/y - (-1503)\/18 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 1. Suppose -3*w - 2*w = -85. Suppose 0 = j + w - 44. Suppose -5*q + 4 - j = -b, -11 = 3*b + q. Calculate o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-10)*10\/(-8). Let q = -56.07 - -55.67. Put -12, t, q, -0.2 in ascending order.\nAnswer: -12, q, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + -0.04. Let v = 0.06 - y. Let f = -0.4 + v. What is the closest to f in -0.3, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + (-3 + -5 + -5*(sqrt(320)*1 - sqrt(320)))**2 + ((sqrt(320)*3 - sqrt(320))*2 - (sqrt(320) - (4 + sqrt(320) + -3*sqrt(320)) - sqrt(320)))**2.\nAnswer: 128*sqrt(5) + 1363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.18*-0.34.\nAnswer: -0.4012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*j - 922, r + j + 0*j = 458. Let x = r - 4091\/9. What is the third smallest value in x, 1, -4, -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, 5, 3 in ascending order.\nAnswer: -15, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 938\/11 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16 + 6.16. Let c = 5.6 - k. Let n = 0.36 - 0.06. What is the biggest value in n, c, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*q - 4, -8*q = -3*q - 5*y - 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*(-27)\/(-6). Let p be 1\/(-1) - (-27)\/a. Let n(x) = -9*x**2 + x + 9. Let g(r) = -14*r**2 + 2*r + 14. Give p*n(q) - 5*g(q).\nAnswer: -2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g*g**(2\/3)\/g)\/g*g))\/g)**(-18)*g**(3\/5)\/g**1 assuming g is positive.\nAnswer: g**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1393 and 444765.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 2. Let b(t) = 15*t**2 - 12. Let f(v) = -3*b(v) + 18*o(v). Let q(y) = 63*y**2. Calculate -36*f(h) - 5*q(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(-3*w + 2*w + 3*w) + 254*w + 25*w - 106*w in the form l*w + i and give l.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571300.\nAnswer: 2, 5, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let h(g) = -7284*g**2. What is v(h(u))?\nAnswer: 7284*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77502 is divided by 3856?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1853\/2 + -928. What is the smallest value in -5, 0, -19, m?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - (0 + sqrt(3) + 4)) + sqrt(3) - (-2 + sqrt(3) + sqrt(12)\/sqrt(4))) + sqrt(30)\/(1*sqrt(160) + sqrt(10)).\nAnswer: -2 + sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*y = -9, 0*z + z = 5*y - 3. What are the prime factors of z\/(-3) - (-336)\/18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 494 + -13?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v + 2*v)*(-2*v**4 + 1 - 1) + 3*v**5 + v**5 - 6*v**5 - 12599*v**3 + 8*v**5 + 12599*v**3.\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/1358)\/(-2 - (-17 - -14) - (-5)\/(-4)).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/150 and -77\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.63 - -0.42. Let k = 1.05736 - f. Round k to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 282 - 1494. Round f to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -291934 to the nearest 100.\nAnswer: -291900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 918 and 32031.\nAnswer: 3267162","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - (-109 - -15 - 16).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 46 = -74. Let j(x) = -16*x. What is the smallest common multiple of y and j(-1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 3. Suppose 7*m - 6 = 5*m. Suppose 0 = k + m*t - 12, 0 = -2*k - 4*t - 11 + 31. Let p be b(k). Put p, -2, 3 in descending order.\nAnswer: 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2217391644, -2217391643, -2217391642?\n\"Answer: c - 2217391645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2696749?\nAnswer: 11, 61, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*p**3 + 76382*p**2 + 226676*p - 303248 = 0. Calculate p.\nAnswer: -37906\/95, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.557594 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.221\nAnswer: 1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. Suppose 0 = -d + p + 7, -5*d + v*d - 5*p = 11. Suppose 2*a + 73 = 3*n - 73, 4*n - d*a = 194. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -566 + 5107*s + 5*s**3 - 4*s**3 + 601*s + 3043 wrt s.\nAnswer: 3*s**2 + 5708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243391.\nAnswer: 243391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 16. Suppose -3*j - 37 = -5*j + n, -5*n - h = -j. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164644*a*o**3 + 178290308*a*o - o**3 - 45*o**2 wrt o?\nAnswer: -987864*a*o - 6*o - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 40. Let n be y(15). Which is the closest to 0? (a) -3 (b) n (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**5 + 876*g**4 - 49260*g**3 + 142564*g**2 - 140832*g + 46656 = 0. Calculate g.\nAnswer: 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 52*m + 59. Let y be a(27). Suppose 0 = -y*v - 7 + 12. Let q be (-2)\/(-6)*6\/88. Is q smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223133 + -103?\nAnswer: 223030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5 + (sqrt(245) - sqrt(245)*-3))**2*6 - ((-3 + -1*sqrt(245) + sqrt(245))**2 + 3)).\nAnswer: 1680*sqrt(5) + 23663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 18*v + 17*v + 4 - 20*v. Let h(a) = 8 - 11*a - 9*a - 12 + 5*a. Let z(i) = -3*h(i) - 2*p(i). Differentiate z(x) with respect to x.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36 + -1061.\nAnswer: -1060.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z + 11. Let m(g) = -4*g - 11. What is 2*d(t) + 3*m(t)?\nAnswer: -2*t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 + -53. Let o = 954.1 - 1012. Let w = u + o. Round w to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1346*g - 11379. Give v(8).\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/(-76)*(2 + 0). Which is the closest to u? (a) 2\/15 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*g**3 - g + 53?\nAnswer: 1020*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/4 - 5*d**4\/2 + 17*d**3\/4 - 2*d**2.\nAnswer: d**2*(d - 8)*(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*r = 890 + 3425, 4*o + 5*r - 17274 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 328.\nAnswer: 27880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20140320 (base 5) to base 13\nAnswer: 58946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -125, -344, -765, -1454?\nAnswer: -2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**2 + 5*m**2 - 8*m**3 + 3*m**3.\nAnswer: -5*m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 6*g + 23 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8685 + -8694. Let b(l) = l**2 + 29*l + 180. Calculate b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.04. Let f = 4.04 - j. Let w = -4.3 + f. Sort -0.5, w, -5\/2 in decreasing order.\nAnswer: w, -0.5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4808 and 10702608.\nAnswer: 10702608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*12\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10903*b - 10 - 2 + 31615*b + 12 in the form n*b + g and give n.\nAnswer: 20712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4081 >= -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*c + 12, 8 = 2*c + 5*j - 3*j. Suppose c*q - 44 = y, 0*y + 52 = 3*q - 5*y. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128e8 (base 15) in base 7?\nAnswer: -335105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 0*x + 8 - 3*x + 0*x. Determine m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 0 - (11 + 5 + 26 + -1 + -6).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30534 and 6003566?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4598*p + 30688 = -2603*p - 2543*p for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 8. Let v be l(-4). Solve -3*u - 1 = -v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*s**5 + 39*s - 4 wrt s.\nAnswer: 1340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 6*o**2 - 3*o - 8. Suppose -s - 1 = -3*h + 11, -2*s - h - 10 = 0. What is n(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3781, 1, 0.3, 0.06 in decreasing order.\nAnswer: 3781, 1, 0.3, 0.06, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -153686, -307373, -461054, -614729, -768398, -922061?\n\"Answer: 3*u**2 - 153696*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 108308, 108309, 108310, 108311, 108312?\n\"Answer: g + 108307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - -325154?\nAnswer: 325215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1104777 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10\/13, 0.3 in increasing order.\nAnswer: -4, 0.3, 10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 3*v + 5 = 0. Let y = -2070\/11 + 188. Which is the closest to 0.1? (a) -0.3 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/121000 and -25\/3388.\nAnswer: 847000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 7*d**2. Let o(x) = -4*x**3 - 6*x**2 + 35*x + 5. Let n(t) = t**3 + t**2 - 7*t - 1. Let j(r) = -5*n(r) - o(r). Calculate -21*j(s) - 3*y(s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3*(2 + -407). Suppose b = 5*c - 20*c. Suppose 0 = 7*t - 12 - 2. Is t < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-343)\/(-7) - 0\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/7)\/(87\/609). Let f(a) be the third derivative of -a**2 + 1\/30*a**5 + 0*a - 1\/120*a**6 + 0 + 1\/24*a**4 - 1\/6*a**3. What is f(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*c - 30*c + 1 + 17*c)*(49*c**2 + 908*c - 908*c) as p*c**3 + h*c**2 + v*c + d and give h.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:43 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55737, -222227, -499711, -888189?\nAnswer: -1387661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/(-232))\/((-100)\/(-40)). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v + 1)*(5 - 5 + v) - 6 - 9*v**2 + 6 - 3*v**2 + 2*v**2 - v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -x + 5*x - 3*n, 3*x + 8 = -5*n. Suppose o - x*o = 0. Solve -10 = 5*i - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -976.000000948 + 976. What is n rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -3, 5, 0.724, 38, 1 in ascending order.\nAnswer: -3, -0.8, 0.724, 1, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*p = 0, -y + 11 = 2*p + 3. Let v be 4\/(-10) - y\/(-15). Let x = 2.2 + -2. Which is the second smallest value? (a) x (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2932 + 2937. What is the nearest to i in -3, -4, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130646 + -6?\nAnswer: -130655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/4)\/((-504)\/3360*10\/(-3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450.6 minus 85749?\nAnswer: -88199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 3*i**2 - 2*i**2 - 3*i**2 + 4 - 4 + (-11 + 71 - 12)*(3 - 3 + 2*i**2) in the form n + d*i**2 + o*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*sqrt(78)*2 - sqrt(78) - (sqrt(78) + -4*-2*sqrt(78)))\/((sqrt(36)\/(sqrt(9)\/sqrt(3)))\/sqrt(2)))*-5.\nAnswer: -10 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 961?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 476*w - 948. Let p be r(-2). Which is the fourth biggest value? (a) 2\/5 (b) -4 (c) -48 (d) 2 (e) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -44. Let t be ((-3)\/4)\/(10\/i). Is (-3)\/9*t - -62 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149074964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 1. Let i = j - 1. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d + 12*d - 4 + 4 in the form o*d + y and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/165)\/((-6)\/(-27))*5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + x. Let a be n(-1). Let z(m) = m**2 + 4*m - 4. Let g be z(-5). Let d be (3 - 4) + g + 9. Solve 3*w = 2*p - d, -2*p - 3*w + a = -0*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0856 - -0.8144. Sort p, -0.04, -5, -0.5 in ascending order.\nAnswer: -5, -0.5, -0.04, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 20504844?\nAnswer: 1230290.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-4\/5)))\/x)\/((x*x\/(x*x*x**(-8)*x*x))\/x))\/(x**(1\/11)*x**(-5\/6)\/x*x) assuming x is positive.\nAnswer: x**(-1471\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18947 or -18943?\nAnswer: -18947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 210*l**2 - 137208*l - 3995. Calculate v(-490).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r - 1. Let b be (2\/(-4))\/((-2)\/(-24)). Let w(o) = -13*o - 2. Suppose -5*v + 2*z = -57, -5*v - 3*z + z = -53. What is b*w(g) + v*j(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8 + 22 + 6*c - 7. Let b = 9 + -6. What is the units digit of n(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -14, 107, 286, 529, 842, 1231, 1702?\nAnswer: 2261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121658 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: Simplify (2*((sqrt(468) + 1*sqrt(468))*1 + 0 + sqrt(468) + -3))**2.\nAnswer: -432*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*w - 71*w - 64 - 40*w in the form h*w + i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349800, 696697, 1043594, 1390491, 1737388?\nAnswer: 2084285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2. Let i(j) be the second derivative of 17*j**5\/40 + 33*j**3\/2 + 65*j. Let a(u) be the second derivative of i(u). Give a(f(o)).\nAnswer: 153*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:36 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-2*l - 4*l + 4*l)*(-2*l**3 - l**3 - 2*l**3).\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 25, 68, 149, 280, 473, 740?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2466*h**5 - 90*h**4 - 2*h**3*j - 31997*h**2*j + 24*h*j wrt h?\nAnswer: -147960*h**2 - 2160*h - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -5*w**4\/4 - 25*w**3\/3 - 20*w**2 - 20*w - 23. Factor d(b).\nAnswer: -5*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**4\/8 + u**2. Let i(v) = 7*v - 3. Let n(g) = -4*g + 2. Let s(z) = 3*i(z) + 5*n(z). Give 2*s(p) - x(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40b + 10?\nAnswer: -3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407454 + 407286 - 1222026 + 407286 - 12*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.14 - -11.14. Sort 1, -5, 0.06, z in decreasing order.\nAnswer: z, 1, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + f - 155, -f + 94 + 140 = 3*r. Let w(k) = -k**3 - 3*k**2 - 5*k - 5. Let c be w(-4). Let a = r - c. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.456 + -226.456. Let z = m + 175.2. Let d = z - -51. What is the closest to 1 in -0.3, d, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9922936 millilitres to litres.\nAnswer: 0.0009922936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*u - 2*u - 2*u)*(2*u**2 + u**2 - u**2) - 3 - u**3 + 3 in the form d*u**2 + j*u + c + v*u**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -38*h**4 + 74*h**3\/3 - 24. What is the third derivative of a(q) wrt q?\nAnswer: -912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 5 (c) 6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 8. Let x be l(-6). Let a = -91 - -95. Are x and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100157899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 8*g - 4. Let s = 4 - -1. Let t(p) = -116*p + 354. Let m be t(3). Let y(r) = -10*r + 6 + 3*r - 3 - r**2. Determine m*y(n) + s*k(n).\nAnswer: -n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -19*s + 429. Let v be (1715\/105)\/(s\/9 + -2). Which is smaller: 48 or v?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 8:24 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/35*(105\/(-3))\/(-1). What are the prime factors of n\/3 - 5730\/(-6)?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6028 - 35815. Is z\/(-18) - (-3 - 85\/(-30)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8291429 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608*h - 186732 = -617*h. Is h a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 = -3, 0 = -r + 3*z + 55. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*3)\/((-32)\/(5760\/(-54)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25066099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 7492*z**2 - 7527*z**2 - 3*z + 15020*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**2 - 2*d + 139. Let c(a) = -2*a**2 - 9*a - 9. Let g(y) = 2*c(y) - 9*m(y). Let j(s) = -34*s. Give g(j(b)).\nAnswer: -4624*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 44801.\nAnswer: 7616170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46*(13 + -16)*2\/(-6). Suppose -x*u + 40*u + 240 = 0. What is the remainder when u is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/28)\/((-10)\/(-35)). Suppose 0 = v - 5*g - 152, -v - t*g + 75 = -93. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146453502 a multiple of 2213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*c - 5*b, -5*b = 2*c - 0*b - 27. Let q = 3 - c. Suppose -3*g + 3 = -q*g. What is the lowest common multiple of 5 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + 127. Let p = s - 83. Suppose 3*r + p - 14 = 5*g, -3*g + 5*r = -37. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*j + 28, -4*b - 4*j = -0*b - 4. Let w(g) = g**2 + g - 15. Let v be w(4). Solve b + 6 = -v*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 11*u**2 + 18*u - 11. Let s be l(13). Let z = -79 - s. Suppose 0 = -w + 12 - 0. What is the highest common divisor of z and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.42246072 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(-4*(-1 + sqrt(1539)))**2*6.\nAnswer: -1774080 + 20736*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7*-0.04605\nAnswer: 0.32235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 28 - (-5 + 11 - (0 + 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002414 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/34))\/(z\/z**(-1\/16))*z*z**12\/z*z*z*(z*(z*(z\/((z**(2\/7)\/z)\/z))\/z)\/z)\/z*z)**(-12) assuming z is positive.\nAnswer: z**(-94947\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + 107 + 0 + -3 + -3 + -12 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1030441*h - 30913224. What is q(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 10*a**2 + a + 13. Does 9 divide f(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 688 - 689. Which is the closest to 2\/9? (a) g (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**6\/70 + 3*f**5\/28 - 2*f**4\/7 + 2*f**3\/7 - 9*f. Solve p(o) = 0 for o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -424 + 950. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 9:30 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.4 + -4. Let v = -0.5 + j. Let n = 8 - 9. Which is the nearest to v? (a) 2 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/4))**(-2\/49) assuming f is positive.\nAnswer: f**(-3\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 10*m + (-1 + 1 - 1)*(-2*m - 5*m + 5*m)*(0 - 2 - 2))*(4 - 1 - 5)*(2 - 2 - 2*m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 0*o + 7 - 7.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/(-1))\/((-1)\/(-3)). Let l = x - 23. Differentiate -l - 2*g**2 - 3 + 6 with respect to g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r + 120 = 0. Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1543*f**2 + 3063*f**2 - 1537*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 3*s + 4. Let d be j(3). Suppose d*x - 105 = -x. Solve -5*v - 1 + x = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128896.3 + 2517477?\nAnswer: 2646373.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -35*t + 986. Determine i(24).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 0.5, 0.4, 4, -0.01 in decreasing order.\nAnswer: 4, 0.5, 0.4, 2\/19, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71265 or -71273?\nAnswer: -71265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 0, -w + 192 = 3*w - 4*c. Let v(i) be the second derivative of -i**3\/3 + 10*i**2 + 37*i. Calculate the remainder when w is divided by v(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2509672307 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-5)*(-3)\/14. Let n = -11731 + 11731.7. What is the second biggest value in n, -7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -36. Let t = -50 + 1315. Suppose -t = -g*p + 32*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(98) + -3))**2 - ((sqrt(98) + sqrt(98)*1)*1 - sqrt(98)) - (-3*(1 + sqrt(288))*1)**2*2.\nAnswer: -4239 - 817*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o*o*o**11)\/o*o*o**(-1\/3)*o**(-1\/8)*o\/(o\/((o*o**(-1\/2))\/o)))**(-3\/8))**(4\/19) assuming o is positive.\nAnswer: o**(-337\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -3, 255025, 1, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 11*w - 85.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 14*p**2 + 23*p - 11. Let z be t(-12). What is the greatest common divisor of z and 409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 11*b**2 - 10*b - 5. Suppose -48 = 5*d - 8. Let f be h(d). Let q = -64 + f. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86220 to the nearest one thousand.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3 - -9) + -10 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let c(o) = o**2 + u*o - 3*o**2 - 2*o. Let d(n) = -6*n. Give c(d(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106.4 + 105.699904. Let l = -10 - -9.3. Let z = f - l. Round z to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5502, -43991, -148486, -351999, -687542, -1188127, -1886766?\nAnswer: -2816471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 741398, 741401, 741404, 741407, 741410, 741413?\n\"Answer: 3*h + 741395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 3. Let c(v) be the first derivative of -3*v**2\/2 + 3*v + 2443. Determine -3*c(x) - 4*o(x).\nAnswer: -7*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -613\/45 - -14. Let x = -3\/70 - -11\/126. Let c = t - x. Is 1 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216280 is divided by 4079.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000\/50*1*(-2)\/2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 33 = -o + 4*n, 102 = 5*o - 4*n. Let i = o - 25. Is (-1)\/(-1) - (i + 117\/(-3)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55475085 divided by 5.\nAnswer: -11095017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m - 20. Let z(w) = w. What is -l(i) + 4*z(i)?\nAnswer: i + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.1. Suppose -2*m = -3*t - 5, 3 = -3*t - 0. Which is the nearest to f? (a) -1\/4 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/16 + (1 - (1 - -1)). Suppose 3*q - i = 3*i + 20, 2*q - 3*i - 14 = 0. Solve -2*l + q*a + 20 = y, 0*a - 4*a = -3*l + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 72*y - 2518. Let v be n(35). Solve 0 + 9*j**4 + 12*j**v + 3\/2*j + 39\/2*j**3 = 0 for j.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**2)\/(p**(3\/4)*p))\/(p\/(p*(p\/(p**(-1)\/p))\/p))**(-45) assuming p is positive.\nAnswer: p**(-371\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3889615.\nAnswer: 5, 881, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.7 - 11. Let r = 0.5 - -2.5. Put r, 1, q in increasing order.\nAnswer: q, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m*m*(m**5\/m)\/m*m**9*m\/m**4)**(2\/65))**37 assuming m is positive.\nAnswer: m**(888\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/2575 - 5083\/172525. Let g = 1075\/124 - 469207\/58156. Let r = o + g. Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*c**2 - 7 + 3*c + 3 + 522*c**2 + 0.\nAnswer: 3*c**2 + 3*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2309812?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1845 - 1241. Is w < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*y + 2*y - 24, y = -2*l + 6. Let k = -15 - -16. Let b be k*(-1)\/2*-2. Sort -1, y, b.\nAnswer: -1, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -1. Let i be (-2)\/((-10)\/q - -1). Suppose 0 = -i*a - 0*a + 12. Solve 0 = a*l - 2 + 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -519778 - -883881. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 10:55 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459 is divided by 724.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/18 and 23\/554.\nAnswer: 4986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 + 84*a - 3. Let k be g(7). Put -6, 22, k in increasing order.\nAnswer: -6, k, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 3*46\/24 - 5. Which is the second smallest value? (a) 3 (b) 2\/7 (c) -2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 f, and 1 j when four letters picked without replacement from kvkfkjfffiffp?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21040262 (base 7) in base 2?\nAnswer: -110110001001110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 11*v**2 - 10*v + 6. Let z be r(10). Let c(x) = -2 + 4 - z - 18*x + 19*x. Let w = 45 + -40. Give c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/((-245)\/(-28))*-5. Solve -3*d - 15 = d + y, a*d + 4*y = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35882797 and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235429651 - -108.25.\nAnswer: -235429542.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrryubyib. What is prob of sequence rj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.00462 years to decades.\nAnswer: 0.300462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/6 + (-7)\/((-42)\/8). Solve -2*t = b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95326763 and 1974.\nAnswer: 571960578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113805235.\nAnswer: 5, 313, 72719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -350, -545, -744, -947, -1154?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*z**2 - 1 + 8*z**4 - z**3 - 31*z**2 + 92*z**2 - 36*z**2 to the form p*z**3 + x*z**4 + j + t*z + a*z**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15347 + -15347.1. Sort 23\/4, 1\/4, 18, 0.1, u.\nAnswer: u, 0.1, 1\/4, 23\/4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182c (base 15) to base 16.\nAnswer: -1461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*j - 79 - 21, -j + 5*z - 4 = 0. Suppose 5 = -4*x + j. Let t = x - 8. Put 1, t, -5 in increasing order.\nAnswer: -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = 0, 0 = -2*x + 5*s - 3 - 9. Let g = 9751 - 9751. Solve -o + x*o = g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -302, -298, -294, -290?\n\"Answer: 4*x - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*i + b + 8962, -2*i + 5977 = 3*b. Let n be -4 + 4989\/10*-6 + -2. Let y = i + n. Which is bigger: -13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2004*g**3*z + 32*g**3 + 2*g**2 - 13 wrt z.\nAnswer: -2004*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + t**3 - 2 + (6*t - 10 + 10)*(-5 - 3 + 33)*(t - t + 3*t**2).\nAnswer: 451*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2 + 1536151*n + 9216870 = 0.\nAnswer: -1536145, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 33682047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.223 + 2.923. What is the biggest value in -0.1, i, 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, t: 3}. What is prob of sequence ta?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 5*q + 4*q)*(1 - 6 + 3) + 0*q - 2*q + 5*q + (-3*q - 3*q + 5*q)*(-12 + 3 + 43) - 2*q + 3*q - 5*q.\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f - c - 16, -3*f + 11 = -2*c. Suppose h - 15 = -4*g, -5*h + f = 5*g - 12. Solve g = -t - 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 0.2, -25\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 75490*q + 150976. Calculate i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21137 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 10. Let q(j) = -2*j**2 + 3*j**2 + 26 + 26 - 45 + 10*j. Let n be q(-10). Let o be k(n). Solve -4 - 8 = -o*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-20)*(-55)\/33.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 58849 = -10*r + 4*v, -v = -3*r + 58846. Round r to the nearest 100.\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.11 and 249846372.\nAnswer: 249846371.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 26\/3*u**3 + 1\/60*u**5 + 36*u**2 + 5\/6*u**4 + 0 + 0*u. Find the first derivative of t(s) wrt s.\nAnswer: 2*s + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24942928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*j - 732*j - 743*j - 22196 - 31836 = 0 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + -1 + 2 + sqrt(832)*1 + 2 + (sqrt(78)*-1*5 + sqrt(78))\/(sqrt(6) - (sqrt(24) + sqrt(6))*-2).\nAnswer: 3 + 108*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 553*h**2 + 472*h**2 - 510*h**2 - 2 - 7 in the form d*h**2 + t*h + o and give d.\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -13688.\nAnswer: 1\/13688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(0 - -3) - -5. Put -4, -14, u in descending order.\nAnswer: u, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3279501*j**2 - 286554*j\/5 - 24\/5 = 0.\nAnswer: -2\/115, -4\/47529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) 2\/11 (b) 4\/289 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1291 + 1.8709. Sort u, -0.21, 0.1.\nAnswer: -0.21, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*q + 44 + 1, -163 = -4*x - 5*q. Are x and 43 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39144828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3, 1.5, 8, -2\/17, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) -34 (c) 0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -90.609?\nAnswer: -5.43654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/k**(-1\/2)))\/k)**(2\/31))**(-41))**(13\/5) assuming k is positive.\nAnswer: k**(1599\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 186.803 and 3714.\nAnswer: 693786.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10665.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 345055060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (3 - 2)\/(-1). Suppose 5*b = -u*g - 88, b = -4*g - 8 - 0. Let f = 38 + b. Calculate the greatest common divisor of 27 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -207.1006 - -0.1006. Which is bigger: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.243 to one decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 18*g + 364. Give z(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Let h = w + 2. Suppose -h*s = -11 - 7. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 11*a - 2440. Let j = a - 343. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.0503 years to centuries.\nAnswer: 9.170503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1788509, -3577025, -5365539, -7154051?\n\"Answer: q**2 - 1788519*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 16*y**5 + 18*y**5 + 19*y**5 + 10*y**5 - 9*y**5 + (0 + 0 - y)*(0*y**3 + y**4 + 0*y**3) - y**5 + 3*y**5 - 3*y**5.\nAnswer: 53*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(20 - (17 + 2)). What is the third biggest value in -0.05, 9\/16, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = -3*a, 0 = -8*a + 3*a - y - 23. Let o = -3 - 1. Is a <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6735313 minutes to milliseconds.\nAnswer: 40411.878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(76) + 4 + -2 + 1*sqrt(76) + sqrt(76) + -4*(sqrt(76) + sqrt(76) + (-1 + sqrt(76) - sqrt(76) - sqrt(76)) + -5))**2.\nAnswer: -108*sqrt(19) + 805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 25*f - 28 = -4*h, -4 = 4*f. Let g(c) = c**3 - 9*c**2 + 8*c + 4. Calculate g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.7 - -21. What is the third biggest value in -0.5, -3\/8, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 36387 = 8*t + 5*d, -3*t + 3*d + 54549 = 0. List the prime factors of t.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*d - 25*x + 22*x, 5*d = 3*x + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.021, 2\/21, 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079087579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + w = -51 - 13, 184 = 3*b + 5*w. Suppose 4*i = -20 + 104. What is the highest common divisor of i and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 1. Let q(d) = -13*d - 3*d + 4 + d. Let h(c) = -6*m(c) - 2*q(c). Let v(k) = -5*k + 3. Suppose -5 = 4*z + 19. Calculate z*h(s) - 28*v(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoyohchccojyjcj. What is prob of sequence uj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = 10*u - 597. Calculate the remainder when u is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((204\/(-9))\/(-17))\/(-10*1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1716, -818, 678, 2772, 5464, 8754, 12642?\n\"Answer: 299*i**2 + i - 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 3:19 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 2*d**5\/45 + d**4\/6 - 8*d**3\/27 - 4*d**2\/3 - 7889. Factor m(f).\nAnswer: 2*f*(f - 2)*(f + 2)*(f + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 7. Let t(d) = -d + 6. Let l(r) = -6*a(r) + 7*t(r). Let g(s) be the third derivative of s**4\/8 + s**2. Calculate g(l(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q. Let f be x(-6). Suppose 0*r = -5*u - 4*r + f, 0 = 3*u - 4*r - 50. Calculate the smallest common multiple of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13655 - 25417. Let q = -24506547\/1936 - -108011\/121. Let j = z - q. Calculate the common denominator of -85\/12 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -19) + -10 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 177327392, 177327389, 177327384, 177327377, 177327368?\n\"Answer: -t**2 + 177327393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2633282 is divided by 1316641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 2*y + 16. Let k be m(3). Let h(v) = -v. What is h(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 14*t + 5530 - 5606 = 0, x + 123 = 25*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 2*j + 4. Suppose -4*g + u - 5*u = 8, -3*u = -2*g + 21. Suppose 8 = g*o - 1. What is k(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6540008 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9569 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 277574 and 1665444.\nAnswer: 1665444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 28*n. Calculate the lowest common multiple of f(6) and 240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2\/(-516))\/(((-5060)\/(-165))\/(-92)).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9\/793 - -829\/3172. Let u = 2 - 2.01. Let b = u + 0.31. What is the closest to t in b, -2, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 6048180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -12 - 7 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -i + 33. Let r = -40 + i. Let t = r - 13. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3682052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45646, 45687, 45728, 45769, 45810?\n\"Answer: 41*h + 45605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -112*x + 8*x**2 + 0 + 105*x - 12 + 25*x**2. What are the prime factors of w(4)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67976243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2.2. Let t = 253.2 + -45.2. Let w = t - 207.6. Which is the second biggest value? (a) 0 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.242, 1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - 2*j**2 - j**2 + (-1 - 1 + 4)*(-10 - 10 + 8)*(j**2 + 5*j**2 - 3*j**2) + 2*j**2 - 3*j**2 + 0*j**2.\nAnswer: -76*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9145844 divided by 191?\nAnswer: 47884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30961?\nAnswer: 7, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 217*h**4\/24 + 170*h**3\/3 - 467*h**2. Differentiate j(q) wrt q.\nAnswer: 217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, a: 8}. Give prob of sequence dadd.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 378*w - 514 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2289687 and 883218?\nAnswer: 544945506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 + 2*g**2 + g - 1. Let b be o(-1). Suppose 2*x + 98 = 5*r, 34 = b*r - 4*x - 36. Solve -3*t = 5*i - 20, -4*t + 3*i = i - r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 4*r = -4*z + 1188, 4*r - 5*z = 1170. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-24) - ((-116)\/(-16) + -7). Which is the biggest value? (a) -1\/5 (b) -1\/2 (c) 1\/2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -60 + 59. Let q be 2 - (k + -3 + 1). Let u = 12 + -51\/4. What is the smallest value in u, 2, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 equal to 1036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*u - 2*h + h, -4 = -3*u + 2*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)*(117\/4446)\/((-9)\/(-24966)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143153090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2905*j**4 - 14025*j**3 + 5590*j**2 + 17400*j - 5120 = 0.\nAnswer: -1, 2\/7, 128\/83, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1\/2*k**2 + 0 + 3\/8*k**3 - 2*k - 1\/8*k**4 + 1\/80*k**5. Factor y(m).\nAnswer: (m - 4)*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 5. Suppose 0*k = -t*k - 3*s + 38, -4*s = -4. Let q(m) = k*m**2 - 2*m - 3*m + 5*m. Let z(w) = w**2. Determine q(z(j)).\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 545081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:56 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q + 2 + 5*q - 3*q**3 - 7*q**4 - 6 + 19*q**2 - 8*q**2. Let j(d) = d**4 + d**3 - d**2. Let p(c) = -6*j(c) - t(c). Let p(b) = 0. Calculate b.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250 + -247. Solve l*d = -h + 4*h + 27, 3*d = 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-3*1\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189579, 379128, 568683, 758244, 947811?\nAnswer: 1137384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*y**3 - 1 + 0 + 1.\nAnswer: -126*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = 0, -5*g + 1307 = -7*z - z. What is the remainder when 1290 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c5 + -22?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101506\/5 + 20302. Suppose 24\/5 - c*r - 4\/5*r**2 = 0. What is r?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1199, 1137, 1093, 1073, 1083, 1129, 1217, 1353?\n\"Answer: y**3 + 3*y**2 - 78*y + 1273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/28 in -0.1879, 2\/5, 2, -3\/7?\nAnswer: -0.1879","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 28. Sort z, -0.4, -2\/13, 0.2 in decreasing order.\nAnswer: 0.2, z, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from {c: 4, g: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1623 by 3567.\nAnswer: 541\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((341\/(-372))\/((-12)\/(-24))).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -42. Let j = -67234 - -67280. Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmggbg. Give prob of picking 2 m, 1 g, and 1 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g = 30*g + 1074. Suppose n - 2*n + 66 = 2*o, -5*o + n = -g. Which is the second smallest value? (a) 1\/3 (b) 1\/5 (c) o (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10 + 6 = 0. Let d(b) = 12*b - 6. Is 13 a factor of d(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 131946596 - 1?\nAnswer: 131946595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by -18.\nAnswer: 125\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1808, 3605, 5402, 7199, 8996?\n\"Answer: 1797*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1554133 and 608139.\nAnswer: 13987197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 4*v**2 - 5*v + 2. Let w be p(5). Let q be ((-6)\/(-14))\/3 - 3148\/(-16527). Factor -q*d**3 + d + 0*d**w - 2\/3.\nAnswer: -(d - 1)**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -683, 2 in decreasing order.\nAnswer: 13, 2, -683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6986223761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5894 + 39999. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47457 + 0.13142?\nAnswer: -47456.86858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 + 32 - 15*g to s + r*g and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Suppose -d - w + 2 = -4*w, 2 = d + m*w. Let c(a) = -a**2 + 9*a - 1. Let i be c(8). Sort d, i, 4 in decreasing order.\nAnswer: i, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2179826020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 + 5*w**2 - 1 - 1 to the form q + c*w**2 + d*w and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 773, 636, 483, 302, 81, -192?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/21*4\/20*14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58089 and 2881.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -298235, -596466, -894697, -1192928?\n\"Answer: -298231*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:33 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2*m**2 + 2. Let u be g(-2). Let q = -7 - u. Let p(i) = -6*i + 2. Let b(n) = 13*n - 5. Calculate q*p(j) - 4*b(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 11*w + 1. Let u be t(-11). Let q = -5\/2 - -21\/10. What is the third biggest value in u, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1088 and 2957456.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 165912 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 14*o**2 + 51*o - 317. Calculate q(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from vqccqfvzfvmffcmmfff.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -1 + 1)*8\/32. Suppose 0 = 5*m - 0*j - 2*j + 4, 5*m + 3*j - 6 = 0. Let l = 2 + -1. What is the closest to l in m, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**5 + 104*u**4 - 256*u**3 - 6144*u**2 = 0.\nAnswer: -6, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100643 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 -a - 19 = -5*y, -3*y + y + 5*a = -3. Suppose 1 = y*b - 47. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129781.74 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 16 = 8*q, 2*c + 5*q = 7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**2 + 110*z - 525 = 0.\nAnswer: 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -7, 2, -11\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 9*d**2 + 11*d + 20. Suppose 7 - 23 = 2*m. Let c be u(m). Sort -3, 0, c, 4.\nAnswer: c, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 10. Let d be 6\/4*(-80)\/(-15). Let g be h(d). Let l(w) = w - 7. What is l(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - 3*g + 3*g)*(0*g + 0*g - 2*g + (7 - 3 + 0)*(2 - 2 + g) + 2 + g - 2) as o*g**2 + t*g**3 + s + k*g and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(117))**2 + 0 - sqrt(117).\nAnswer: -3*sqrt(13) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 415 and 15?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59485245 to the power of 1\/2, to the nearest integer?\nAnswer: 7713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39825, 80357, 120887, 161415, 201941, 242465, 282987?\nAnswer: 323507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*b + 50*b + 5*b + 134*b as g + w*b and give w.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + g**2 + 12. Let l be h(0). Suppose -w = w + l. Let a(o) = o**3 + 7*o**2 + 3*o + 1. Is 7 a factor of a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 1 n when three letters picked without replacement from ngxsnnnznnmznnnxnm.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (14 - 6) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*c + 3 - 41. Let w(y) be the second derivative of y**4\/12 + y**3\/6 - y**2\/2 - 249*y + 2. Let r(a) = a**2 + a - 2. Determine c*w(z) - r(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 6, i: 1, z: 5, g: 1}. Give prob of picking 2 z, 1 g, and 1 l.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/153*-27*(-9)\/24)\/((-2)\/(-20)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 320.53 to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**6\/720 + b**4\/48 - b**3 - 1. Let w(k) be the third derivative of t(k). Factor w(n).\nAnswer: -(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**10\/9450 + r**6\/90 + r**5\/20 - 5*r**2. Let i(x) be the third derivative of w(x). Find the first derivative of i(n) wrt n.\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 20 - 34*f - 10 - f**2 - 12 + 58 as t*f + v*f**2 + m and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.875 plus 0.02?\nAnswer: 5.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 + 117. Solve 3 = -n*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70\/53 + 4467\/212. Let w = 146\/297 + -25931\/24354. What is the common denominator of w and k?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 - 7*p**3 + p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 1)*(-6 + 7). Is -9 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278010?\nAnswer: 2, 3, 5, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (8 - 5 - 9) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 3*z + 13)*((1 + 2 - 2)*(3 + 1 - 6) - 3 - 5 + 2).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19969267309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*j, -2*o + 0*j - 3*j + 5 = 0. Let w be 0 + 1*(o - 5). Let v(d) = d**3 + 5*d**2 + 4*d + 2. Let p be v(w). Solve -2*h + p = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 256*w**2 - 15859*w - 664. Calculate t(-151).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + 3*k)*(18 + 38 + 80)*(-13*k + 0*k + k)*(-2 - 1 + 1).\nAnswer: 3264*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - 4 - (-15)\/(30\/(-4)). Let n(d) = 2*d**2 - 6*d - 5. Let y be n(5). Solve s - y = f*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + -31 + (-74 + 27 - -22)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i + 2 + 3 - 4. List the prime factors of y(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + s - 361*s**3 + 361*s**3 + (-2*s**5 - 2*s**5 + 2*s**5)*(-96 - 39 - 44).\nAnswer: 356*s**5 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 13. Suppose 3*u = -2*u + 805. Suppose -3*v - 4*n + 135 = 0, v - j*v + n + u = 0. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 4*v**2 + 4*v - 7. Let p be u(5). Suppose p = -3*l + 5*j + 95, 2*j = -3*l + 78. Let t = 35 - l. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 10*z - 15. Give b(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3799 is divided by 1899.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**2 + 4*z + 16. Let n be t(6). Let g be 3 + n\/(-12) - 3. Let j = g + 27. Which is smaller: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (7\/(-21))\/(1\/9). What is the units digit of (14 - o)*(-1 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 3*v**2 - 3. Suppose -12 - 3 = 5*m. Let g be q(m). Let o(k) be the first derivative of -k**3\/3 - k**2 - 2*k - 2. What is o(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1418610\nAnswer: 5674440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26894711, -26894713, -26894715?\nAnswer: -26894717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 4922418?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12862*r - 119 - 7 = -12848*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvqyyyqycqvqqqqmaca. What is prob of picking 2 c?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 200 + -68 - 180\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9647 rounded to 1 decimal place?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -11. Suppose 7 = v*m - u, 2*u + 3 - 1 = m. Let f(i) = m*i - 2*i + i. Let d(n) = -2*n**2. Calculate d(f(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 665*s + 10798. Calculate k(-16).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.74827 - -0.74873583. Round q to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1000111010111100011111001?\nAnswer: -1000111010111100011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -290*p**2. Let k(t) = t - 1. Let i(z) = 7*z - 5. Let l(q) = i(q) - 5*k(q). Give l(a(d)).\nAnswer: -580*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/((t\/(t\/((t\/t**(9\/4))\/t)))\/t*t))))\/(t\/(t*t*t*t**(-7))))**(2\/39) assuming t is positive.\nAnswer: t**(-1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-24) + 1 + -4 + (-45405)\/(-4).\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214*k**4 - 1897*k**3 + 1897*k**3)*(2*k + k - 4*k - k + 0*k + 2*k + 3*k - 2 + 2 + (k + 2 - 2)*(0 + 1 + 1)) + 1 + 5*k**5 - 1.\nAnswer: -1065*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((0 - 7) + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let h(c) = -689*c. What is h(k(d))?\nAnswer: -689*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73\/(-24) + 78\/(-195)*(-30)\/32.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61529, -41, 16.7.\nAnswer: -41, 16.7, 61529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/12 + 4*j**3\/3 - 5*j**2\/2 - j. Let q = -729 - -738. What is m(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**4 - 52433*l**3 - 580*l**2 + 2642*l wrt l.\nAnswer: 48*l - 314598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-50) + 4 + (-176)\/40. What is the smallest value in m, -3, 0.1, 1\/4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94164 = -1509*w + 11169 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 233699119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -530*j + 14836. Determine h(28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 111 = 5*r. Let c = r - -52. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v + 2*v - 2*v + (-3*v + 2 - 2)*(2 + 2 - 6) to i*v + a and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*t = -2 + 25, t - 21 = -3*n. Is n > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 57560 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27\/362 + 8777\/3620. Calculate the common denominator of (56\/60)\/(-7)*(-327)\/4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/k**(2\/37)*k**(13\/5)*k**(2\/23)\/k assuming k is positive.\nAnswer: k**(-5817\/4255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r**2 - 64*r + 54*r - 10 + 17 - r**3 + 3. Give g(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5430\/50*(-4)\/(-6). Let t = v - 72. Factor 2\/5*u + 0 + t*u**3 + 4\/5*u**2.\nAnswer: 2*u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1206803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 7 + 17. Suppose -3*r - 22 = -4. Is p at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2980 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 216944 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -79. Let q = -7 - -4. Which is the second smallest value? (a) 2 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -257 - -254. Sort -64, l, 1\/8 in descending order.\nAnswer: 1\/8, l, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-3)\/sqrt(7) - sqrt(13) - ((sqrt(117)*-3)\/sqrt(9))**2 - (2*(sqrt(39)\/sqrt(3) + -1 - -3*sqrt(117)))**2.\nAnswer: -5321 + 76*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21842, 14104, 6366, -1372, -9110, -16848?\n\"Answer: -7738*s + 29580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p + 63*p = 0. Suppose p*o = -5*o - 4*d + 3455, 4*o - 2764 = -d. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 20 = 20*f + 298 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596359?\nAnswer: 229, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5 - 12) + -7 + -9\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/5, 1\/2, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121 + 4151901?\nAnswer: 4149780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 7. Let n be 1 + (-3 - -7)*-1. Let h(f) = 2*f - 6. Let t(w) = n*r(w) - 4*h(w). What is the units digit of t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1 + -1 + (-22 - (100 + -104)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 7:06 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2006\/3039?\nAnswer: 2006\/3039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197095?\nAnswer: 5, 19, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + w + 88. Let v be d(0). Let l be (27\/v)\/((-21)\/10). Let c = -1\/28 + l. Is -1 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10142*y + 32749*y - 10793*y - 10791*y.\nAnswer: 1023*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**4 - 729*p**3\/7 - 138*p**2 - 216*p\/7 = 0.\nAnswer: -1, -2\/7, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000360321653 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 1336100?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77)*1 + sqrt(77))*1 - sqrt(77))\/((sqrt(66)\/sqrt(3) + sqrt(22))\/sqrt(2)))**2 - (sqrt(49) - (sqrt(588)*-2)\/sqrt(12))\/(2*sqrt(28)).\nAnswer: -3*sqrt(7)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -f - 37, -2*f - 29*r + 31*r = -26 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-4 - -53) + (-2)\/(1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16653137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 469.4 < -11473\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) 0.2 (c) 1 (d) -5 (e) 21\/13 (f) -14\/37 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78074416.\nAnswer: 2, 7, 697093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 4, -840, 0 in decreasing order.\nAnswer: 4, 0, -1, -2, -840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/8 + 7*t**3\/8 - 9*t**2\/8 - 7*t\/8 + 1.\nAnswer: (t - 1)**2*(t + 1)*(t + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = -5*h, -8 = 5*q + 2*h - 4. Let m(j) = j**2 + 5 - 238*j**3 + j + q*j - 7. Let p be m(2). What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(-8)\/x))**(-43) assuming x is positive.\nAnswer: x**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*r + 1, 0 = 3*i - 2*i - 2*r - 13. Solve 4*u = 2*p, 5*p - 12 = -5*u + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 3*f - 7. Let s(m) = -6*m**2 - 1. Let d be s(-1). Let c = -3 - d. Suppose 4*j + c*h + 16 = 0, 3*j + 5*h - 5 = -13. What is g(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 10 + 26. Let l = v - -4. Let g(a) = -3*a**2 + a**2 + l*a**2. Let c(z) = 2*z**2. What is g(c(m))?\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by (18\/8)\/(292\/32 - 9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2. Let v(f) = 2*f**2 + 120*f - 1796. Determine v(w(u)).\nAnswer: 18*u**4 - 360*u**2 - 1796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -235*u - 6. Let m(d) = -78*d - 2. Give -4*g(v) + 11*m(v).\nAnswer: 82*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110200111012 - -1?\nAnswer: 110200111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*sqrt(2299)*-2 + -3 + 1 + sqrt(2299) + -2*(1 + sqrt(2299)) + -1)*-2*2)**2.\nAnswer: 7392*sqrt(19) + 331840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37593725.\nAnswer: 5, 13, 131, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -116*(-2)\/2*1*(1017016\/(-1232))\/(-1651)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**4\/6 + 2*j**3\/3 - j**2. Let k = -2319 - -2316. What is w(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millennium in centuries?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7827278 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 670325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*z + 66*z - 126*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8675 = -5*h, h = 2*v - 3*h - 5776. Let c = 3900 + v. What is c rounded to the nearest 100?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 83197, 166431, 249665, 332899?\n\"Answer: 83234*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/28 - (-46)\/8. Suppose 0 = 3*x - f*x + 9. Factor -6 + 1 + 5 + m**x.\nAnswer: m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/3 - 4. Let w = -3 - -9. Let v be (-2)\/5 + w\/(-10). Is x greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + 2 + -3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -67.4. Let q = t - 7. Which is the third biggest value? (a) 0.5 (b) q (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 10416*k**2 - 8426*k**2 - 1404*k**2.\nAnswer: -20246*k**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -7170\/133 and -54 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1541 - -7?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 34. Let u be (-14)\/(b\/(-3) + -2). Is u greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17531, 17530, 17529, 17528, 17527?\nAnswer: 17526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k = -28390 + 30260. Let y = 175 - 90. Calculate the highest common divisor of k and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 29*m**2 - 79*m + 40. Let n be p(-26). Solve -o = 3*l + 5, o = -4*l - n + 58 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 0*g + 2*g)*(12 + 4 + 1)*(1 + 1 - 4) in the form y + d*g and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 2:47 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*k + 285 = 3*k, -w - k + 142 = 0. What are the prime factors of w?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsruwfuwfrfurff. Give prob of sequence sr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 149628553?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -17*n**3 - 9*n**2 - 4*n - 7. Suppose s - 15 = -2*s, -3*q = -5*s + 19. Let o(p) = -4*p**3 - 2*p**2 - p - 2. What is q*c(h) - 9*o(h)?\nAnswer: 2*h**3 + h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + ((-56)\/(-2))\/4 - -3. Suppose -8*r + b = -13. Differentiate r - 2 + 9*l + 14 - 1 with respect to l.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12303*k + 12764*k - 4206*k.\nAnswer: 20861*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49734 and 1535?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121 - 123)*(-10)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**3*k**2 + 167*j**3*k + 2*j**2*k**3 - 23*j*k**2 - 75*k**3 wrt j?\nAnswer: 30*j*k**2 + 1002*j*k + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(2)*5 + (sqrt(2) - (sqrt(2) - -2*sqrt(288))**2).\nAnswer: -1250 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 4:10 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, -33, 13, 14, -4, 12\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 13*c**2 + 13*c + 12. What is the hundreds digit of f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 5) + 3\/2*2. Suppose -5*x + 247 = n*w, -x - 4*w - 25 = -78. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14156543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26946 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 494759397?\nAnswer: 494759391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 s when three letters picked without replacement from qsdqqqpspppspp?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -706747 (base 8) in base 16?\nAnswer: -38de7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + (0 - 0) - (-47 + 48).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 37819*n**2 - 63*n + 197. Is s(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -31*o + 262. What is k(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.4? (a) 2\/15 (b) 1 (c) 0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 4:27 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73519 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 812 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 8*c**2 + 3. Let j be i(-8). Suppose 3*p - 4*a = 0, 2*p + j*a = -2*a. Solve p*q - 12 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17755352 to the power of 1\/2, to the nearest integer?\nAnswer: 4214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 25 + 6 + b**2 + 14*b - 4*b. Let l be f(-4). Let y(t) = -t**3 + 8*t**2 - 3*t. Give y(l).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -301308 by -211.\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27333*a**2 - 24931*a**2 + 53873*a**2.\nAnswer: 1609*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 93 - 23. Let l = c - 0. Let m(z) = -z**3 + 4*z**2 + 3*z - 8. Calculate the remainder when l is divided by m(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 23. Suppose -v = -4*h - i, 25 + 11 = 4*h - 4*i. Let m = h + 2. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(110)\/(sqrt(10) + sqrt(10) + sqrt(640)) + sqrt(539)*-5)**2.\nAnswer: -1339661\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626*s - 574*s + 446 = -74. Let n = -1 + 0.5. Which is the closest to s? (a) n (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21 - 3)\/(-3) - -111. Suppose 8*j = j + i. Solve -4*y = -q + j, -2*y + 2*q = -y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1025, 2123, 3221, 4319, 5417, 6515?\n\"Answer: 1098*y - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}