diff --git "a/data/dm_maths/full_data_1/2735_11255.jsonl" "b/data/dm_maths/full_data_1/2735_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2735_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 0.000017106 rounded to 7 dps?\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 7*q - 27*q. Let o(d) = 6*d**2 - 10*d + d**q - 12*d**3 - 10 + 13*d**3. Calculate o(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*g**3 - 25983366\/11*g + 18023794882\/11 + 12486\/11*g**2 = 0. What is g?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*z - 510 = -438*z - 4972 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2880, -5408, -7934, -10458, -12980?\n\"Answer: j**2 - 2531*j - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -5*r**4\/4 - r - 45. Determine j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1255406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 7:03 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 141836 divided by 4\nAnswer: 35459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369, -277, -125, 87?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(12\/(-15) - 0). Suppose i*g = 5*g - 26. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:32 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*p + 55*p = -16*p + 1632. Solve -2*m + 29 = 18*i - 13*i, p*m - 28 = -4*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + -1 + sqrt(5) + 1)**2 - (-3*sqrt(10)\/sqrt(2) + (2*sqrt(45))\/sqrt(9)).\nAnswer: sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*w + 2 - 6, -3*g + 12 = 4*w. Suppose 3*n = x + 61, 2*n + g*x = n + 16. Solve 0 = -5*d + 4*b - 0*b - n, -5*d = -3*b + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703 = 2*t - 1977. Suppose -41*r - t = -46*r. Is 38 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.9039452ns to days.\nAnswer: 0.000000000000056758625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a, 2*j - 13 = -5*a + 57. Suppose 31*z = j*z - 7724. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/702 - 7\/126*-1348.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z + 22*z - 88. Let l be (33\/z)\/(3\/4). Let g(c) = -6*c**2 - l*c**2 + 17*c - 17*c. Let b(s) = s**2. Give g(b(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 1. Let c(q) = 2*q - 4. Determine -c(j) + 3*y(j).\nAnswer: -5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16162960 divided by 1616296\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 361.249 millilitres?\nAnswer: 0.361249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00223054 to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 4. Suppose 181 = q + m*t, -2*q + 3*t + 206 = -q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -693.3.\nAnswer: -138.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136542 is divided by 45366?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - 2*q + 2*q + (10 - 5 + 2)*(2 - 2 - 3*q**2).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1169777599 rounded to five decimal places?\nAnswer: 0.11698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 3*n + 3, j + 22 = 3*n + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.447765 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + (sqrt(13) - (-4*sqrt(117) + sqrt(117))\/sqrt(9)) - ((sqrt(117) - 1*sqrt(117))*-4 + sqrt(117))\/sqrt(9)).\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(612)*-1 - sqrt(612))**2 - ((2*sqrt(612) + sqrt(612))*-2 + (2 + sqrt(612) + sqrt(612))**2 + -1).\nAnswer: -1840 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 0*m**2 + 11*m + 11 - 2*m**2 + 3*m + 3*m**2. Let i be k(-9). Let t = 97 + i. Calculate the greatest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*v - 1, p - 8 = 4*v. Solve -p*b = -6*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 613814075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3503\/4461 - 672\/1487. Suppose 2*s - c + 185 = 0, 2*c + 9 = 5*c. Put -0.4, s, m, -1\/2 in decreasing order.\nAnswer: m, -0.4, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -3. What is the remainder when (-2760)\/(-70) - (-50)\/(-35) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2044404 (base 7) to base 2.\nAnswer: -111100001011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:10 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*a + 181, 0 = a + 1 - 0. Let s be -1 + 0 - (3 - r). What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/64*(1 + -1 + 1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from ppuavhs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 5*r + 1. Let f be (-117)\/(-6) + 15\/10. Let v = f + -25. What is x(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**3 + 1\/4*c**5 + 0*c + 0 + 11\/4*c**4 - 9*c**2.\nAnswer: c**2*(c - 1)*(c + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + -22021?\nAnswer: -22102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10100567 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 8:58 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 503 and -0.05.\nAnswer: 502.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -26. Calculate the greatest common factor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296910 is divided by 327?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-56)*4)\/((-8)\/(-208))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605902.8 centuries to millennia.\nAnswer: 60590.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17082576 to the nearest 100000.\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5 - 5)*(3*g - 3*g + g) - 7*g**2 - 25*g + 25*g.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 504 = -4*f - w, -5*f + 627 = 2*w. Let t = -5814 - -58197\/10. Find the common denominator of f\/(-12) - (-9)\/6 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 6, 2 in ascending order.\nAnswer: 0.03, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7, -10, -3, 4, -1\/13, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 460380*c**2 + 203992*c + 4 wrt c.\nAnswer: 920760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 + 4.3. Which is the closest to d? (a) 2\/7 (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let i(j) = 3 + 3 - 3*j**2 + 13 - 19. Let t(b) = 3*i(b) - 5*o(b). Let y(z) = z + 88. What is t(y(r))?\nAnswer: r**2 + 176*r + 7744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/84*7*(-3 - -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*v + 18, 2*v - 5*v = 4*p + 4. Suppose -4*d = d - 4*i - 1054, p*d - 3*i = 416. Suppose -5*f - d = -839. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4264397*i**3 - 9054945 wrt i.\nAnswer: 12793191*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q. Let y(d) = -3*d + 2 - 3*d + 2*d + 4. Let r(h) = h - 1. Let t be 2\/(-6)*(-1 - 2). Let s(g) = t*y(g) + 6*r(g). Give s(u(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 2*u - 10. Let w(a) = -a**2 + 10*a + 21. Let x be w(-2). Let i(s) = s**2 - 2*s - 9. Calculate x*k(z) + 4*i(z).\nAnswer: -2*z**2 - 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-12)*(-4)\/(6*-26).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 6*v - v)*(-2 + 0 - 11*v + 9*v).\nAnswer: 8*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z. Let s(j) be the first derivative of 32*j**2 + 3*j + 940. Give s(o(l)).\nAnswer: 320*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 = -20*z - 1043. Let c = z + 79. Solve 2 = -5*m - c*g, 3*m - 2*m + 5*g = 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.4 + 24.3. Let z(t) = 3*t**3 + 168*t**2 + 4. Let j be z(-56). What is the nearest to m in j, 7\/4, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(832) + -4*sqrt(13)*2 + 1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -36. Let y(j) = j**3 + 8*j**2 + 2*j + 15. Let i be y(h). Put 15, i, -2 in descending order.\nAnswer: 15, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2 + 320*v + 8937. Calculate h(-19).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n, n - 36 - 137 = -3*c. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65, 83, 101?\n\"Answer: 18*a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 548 + 84 = 0. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/((-2)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c = -2*g + 195, 5*c - 295 = -3*g. What is the remainder when g is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6159721 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l - 2. What is a(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(200) - 2*sqrt(200)))**2 + sqrt(200) - (sqrt(288) + -1)*-4 - (((sqrt(168)\/sqrt(4))\/sqrt(3) - sqrt(14))\/(sqrt(2058)\/sqrt(6)))**2.\nAnswer: 58*sqrt(2) + 4996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/((-45)\/(-60)). Solve f*u = -4 + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/((-1)\/(-15)). Suppose -t = 5*d + 5*i, -d + 6*d - 31 = 4*i. Suppose 0 = 2*s + d*n + 2 + 9, 4*n + 10 = -5*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + 55924*k + 167808 = 0. Calculate k.\nAnswer: -3, 13984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5623 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.082 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*v + v + 17, -5 = -m + v. Let c(o) = -o - 3. Let d be c(-7). Let i be (-1)\/d + 3\/9. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25664.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -593?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -827 - 4a18?\nAnswer: -5340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 86\/(-20))*920\/(-690). Let d = 0.01 + 1.99. What is the closest to 1\/4 in d, q, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 3*a + 134 = 0, 7*a + 4*a - 11*a = -2*q - a - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/516 and -119\/450.\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.03 - 0.13. Let u = s + 0.1. Let f be ((-20)\/6)\/((-24)\/(-36)). What is the closest to u in f, 2\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/39))**(-11\/5)*t**(-2\/3)\/t**46 assuming t is positive.\nAnswer: t**(-3026\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*o - 2 + (7 - 4 - 8 + (0 + 1 + 1)*(0 + 2 + 1) + (4 - 5 + 2)*(0 - 1 - 1))*(-1 + 3 + 147*o - 143*o) in the form m*o + v and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d - d = 13040. What is the highest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3494191*o**2. Let i(z) = -z**2. Give j(i(p)).\nAnswer: -3494191*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.874 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30836669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:30 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269 - 99. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2660 is divided by 473?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:08 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7996221 to the nearest integer?\nAnswer: 2828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 1 k when three letters picked without replacement from {v: 2, k: 3, b: 1, e: 3, t: 1, p: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19d - -ab28?\nAnswer: acc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2.5, -23\/2, 0.5, -15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41\/318 - -2\/53. Which is the nearest to -1\/78? (a) -2 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 9*a**2 - 9*a + 8. Let h be w(8). Suppose 2*p + h*p = 34. What is the units digit of p\/3 + (-1)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 6 - 18. Suppose 3*r - 6 - p = 0. Find the third derivative of -4*t**2 + r*t**2 + t**4 + 6*t**2 wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6177 (base 9) to base 6.\nAnswer: -32541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3043 and 918.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*p - 4, -p = 4*f + 12 - 0. Suppose -3*w = 5*z - 191, -p*w + 2 = 3*z - 249. Calculate the smallest common multiple of 18 and w.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 34, 41, 48?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 20. Suppose -b*l + 104717380 = -52882620. What is l rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -17*t + 223. Let u be b(13). What is the greatest common factor of 22 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 765.9*-10.\nAnswer: -7659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5147 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3*-97)\/(2\/(-6)). Let z = h - -96. Which is the closest to z? (a) -4 (b) 2\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:56 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210034 (base 5) to base 2.\nAnswer: 1101011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (16 - 30) - -31\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = m - 891294*o + 891290*o, 5*o - 225 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 0*n - l - 13, 0 = -3*n - 2*l - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) 1 (c) -2\/7 (d) 99 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3668 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9968\/(-384) - (4 + -1). Let c = -245\/6 - b. What is the common denominator of c and -55\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2*2)**2 - sqrt(33)\/(sqrt(12)\/sqrt(4))*3.\nAnswer: -3*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11059018\/5 + -2202925. Let k = t + -8845. Let b = 34 - k. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105349 or 103397?\nAnswer: 103397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000023814415 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6328*q**3 - 2*q + 10. Let v(z) = 12657*z**3 + 5*z - 25. Give 5*a(w) + 2*v(w).\nAnswer: -6326*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4*g + 177*b**4 + b**3*g + 2066*b**3 + 3*b**2*g + b**2 + 45*b + 9*g + 71 wrt b.\nAnswer: -24*b*g + 4248*b + 6*g + 12396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -34 = -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let i(h) = 16 - 16 - 34*h. Determine g(i(r)).\nAnswer: 68*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75396.56 or -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 14*q - 5355. Suppose -q = -3*v + 1082. What are the prime factors of v?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -7614\/23329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982.336ml to litres.\nAnswer: 0.982336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -26 - (-60 + 75)) + (43 - (1 + -2)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12837184 rounded to 3 dps?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 - -6.1. Which is the third smallest value? (a) o (b) 1 (c) -2\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1333310 + -3?\nAnswer: -1333313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255636928 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c81 - -2d?\nAnswer: cae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 334 - 504. Let k = 374 + y. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -0.01714\nAnswer: -0.18854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/(-126) + (0 - (-706)\/18). Let d(w) = 1 - w**3 - 32*w - 4*w**2 + 2 + x*w. List the prime factors of d(-7).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/14*(-18)\/(1044\/(-203))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 1, -445 in decreasing order.\nAnswer: 1, -45, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - p = 4, -p + 0*p = 2*i - 3. Solve i = -5*o + 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 13. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -118)\/(168\/15078) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/15 and -73\/105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9027)\/54)\/59)\/(3\/(-18))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -6) + (1 - 46). Let t = 44 + v. What is the second biggest value in -2, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, -254, -761, -1472?\n\"Answer: -102*v**2 + 3*v + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.16 and -367.2.\nAnswer: 58.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (1 + 0)*1. Suppose 2*l - f = 101, r*l - 3*f = l - 33. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147040 and 3676?\nAnswer: 147040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**4\/3 - 147100*j**3\/3 + 1470700*j**2\/3 - 1225500*j = 0.\nAnswer: 0, 5, 36765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/21043 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let g(a) = -6*a + 11. Let b(t) = -17*t - 1. Let p(u) = 12*u + 1. Let h(j) = 5*b(j) + 7*p(j). Let z = -18 - -7. What is y*g(l) + z*h(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - i**2)*(-i**2 + 0*i**2 + 3*i**2) - 2 - i**4 + 2 + i**4 - 2*i**4 - i**4 + 7*i**4 - 4*i**4 - i**4 - 93*i**3 - 15*i**4 + 92*i**3 - 42*i**4.\nAnswer: -60*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 5) + 2 + (33 - 19).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(567))*-6 - (-1*sqrt(567)*-2 - (3 + sqrt(567) + 1 + sqrt(567))))**2.\nAnswer: 540*sqrt(7) + 20437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/254048 and 145\/2667504.\nAnswer: 5335008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12a - -257?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -7, -3\/4, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.6386 + 5.71. Round c to 3 dps.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, m: 1, x: 2, u: 5}. Give prob of picking 1 q and 1 i.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 19*f - 5. Give p(-3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 6*z + 7. Let i be m(6). Suppose y + 13 = -0. Let k = y - -15. Solve -3*w + 4 = c, -6*w - 3*c = -k*w - i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/36*2)\/((-2)\/6*5)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40792000 rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00279455543 rounded to six dps?\nAnswer: -0.002795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200646?\nAnswer: 2, 23, 43, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 3*r - 17*y + 165, -y = -5*r - 85 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576153.\nAnswer: 97, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 935 - 6*h - 864 + 3516 - 851 - 866.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 13*j - 227. Let c be r(-10). What is the closest to 3 in c, -30, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 5*a**2 + a. Let v(z) = -z**3 + z**2. Let g = 3225 - 3222. Calculate g*v(h) + i(h).\nAnswer: -4*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665722 (base 11) in base 10?\nAnswer: 8147922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 z when three letters picked without replacement from {n: 1, b: 4, z: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2db9d4 (base 16) to base 14\nAnswer: 580136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -14. Let h be 22\/2 + 15\/r. Solve 2*s + s = -h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-5))\/(11\/55) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4708 + 4717. Let z(t) = -t**3 - 7*t**2 + 4. Let m be z(-7). Let n = m - 1. What is the least common multiple of j and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/6 - 12*n + 168 = 0 for n.\nAnswer: -84, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngnnnigggnnggn. What is prob of sequence ng?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 9. Let p(j) = -7*j - 30. Let g(m) = -4*a(m) - p(m). Let l(z) = -5. Calculate 4*g(t) - 5*l(t).\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46637466 is divided by 994?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 230230003021 (base 4) in base 8?\nAnswer: 54540311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.88167424 rounded to two dps?\nAnswer: 24.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9042783 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least as big as -178966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + 0.5. Let r = 0.1 - 0.1. Which is the second biggest value? (a) j (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2003530 + -156?\nAnswer: 2003341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - 3) - (2 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1312.4 + 1311.9. What is the smallest value in -5, 0.3, -74, o, 5?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 1. Let c be m(2). Let d(k) = 1 - 2 + k**2 - 2*k + c*k. Let o(h) = -5*h**2 - 7*h + 3. Let i(z) = 3*d(z) + o(z). Factor i(r).\nAnswer: -2*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 4*y**2 - 4*y - 1. Let p be f(-3). Let s(u) = 6*u**2 - u - 1. Is 12 a factor of s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let t(s) = -644*s**2. Determine x(t(h)).\nAnswer: 414736*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -212022 (base 3) to base 14\nAnswer: -32d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1754 - -377108\/215. Let m = 436\/645 + n. Sort 0.5, -3, m in increasing order.\nAnswer: -3, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -257*(2 - 5). Suppose r + n = 249, 3*r - 2*n - k = -0*n. What are the prime factors of r?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183354*o - 183153*o + 14673 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and -4*(1 - -27)*15\/(-30).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63400241.\nAnswer: 1531, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + -6*-1*sqrt(72) - -4*(sqrt(72) + sqrt(72) + -2*sqrt(72) + -5 + (1 + sqrt(72))*-3))**2.\nAnswer: 2376*sqrt(2) + 3681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14343 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 1. Let z(h) = -h**2 - 8*h + 8. Let u be z(-9). Let w(i) be the third derivative of i**6\/120 + i**4\/12 - i**3\/3 - i**2. Give u*w(x) - 2*a(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehheyeeyeheyy. Give prob of picking 1 y and 1 e.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:03 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 45, -4 in ascending order.\nAnswer: -4, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, -1448, 5, 13, -4 in descending order.\nAnswer: 13, 5, 2, -1, -2, -4, -1448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 26*g + 354. Give z(-15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28333 (base 12) in base 4?\nAnswer: -31213113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-342)\/418*8\/(-396).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 8, 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b5 (base 14) in base 3?\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/42*-5)\/(4\/28). Solve b*o = 9*o - 12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672359 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4903, 5206, 5533, 5896, 6307, 6778, 7321, 7948?\nAnswer: 8671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 3. Suppose 0 = -d - 3*m + 20, 2*d + m = 3*m. Calculate b(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -423486422*h**4 + 1101448216*h.\nAnswer: -5081837064*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.92 and -2342155.971112?\nAnswer: 2342158.891112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 948650 = -b + 948652, -9*b + 18 = -5*w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 784 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 q when four letters picked without replacement from {y: 2, q: 8, x: 9, e: 1}.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 146, 179, 212, 245?\n\"Answer: 33*n + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 53*a - 3. Give z(-2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 40*b + 13 + 4*b**2 - 13.\nAnswer: 3*b**2 - 40*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**2\/2 + k + 90. Suppose -7*b + 4*b = 0. Let i be 0 + (-2 + 3)*b. Give a(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 29*a**2 + 60*a + 868. What is b(-28)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 9*g**2 - 15*g + 5. Let m be a(6). Let v = 23 - m. Let k be (-2)\/3*(-3 + -3). Solve -2*c - t + k = 0, c + c - 3*t - 12 = v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18518971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let f = -105 + 107. Let r(p) = -141*p**f - 55*p**2 + 25*p**2. Calculate r(u(i)).\nAnswer: -171*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -518 + 527. Which is the second smallest value? (a) r (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111404432 by -4.\nAnswer: 27851108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*p. Let t(q) = -q**3 + q**2 + 3*q. Let r be t(2). Let i = -5 + 4.8. Which is the second smallest value? (a) i (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 6*h**2 + 5*h - 4. Let f be s(-5). Find the common denominator of f - 20\/(-8)*(-15)\/(-3) and 44\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144107.76 rounded to the nearest 100?\nAnswer: 144100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 11*w**2 + w + 9. Let p be t(11). Calculate the greatest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 12. Solve -4*p - 4 = -j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -51*c - 1768. Determine f(-34).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t - 5*c + 255 = 0, -4*c + 2 + 37 = 5*t + 2 - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -925781*d + 1 + 21 - 2077425*d. Let y be v(-19). Suppose 165739064 + y = 4*j. Round j to the nearest one million.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k**4 - 950*k**3 - 2186*k**2 + 950*k + 2178 = 0.\nAnswer: -9\/4, -1, 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15647 and 21.\nAnswer: -328587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 6) to base 16.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/8*o**5 + 0*o**2 - 1\/8*o**4 + 0 + 0*o + 1\/4*o**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/9 + 16990*b**4\/3 + 1018634*b**3\/9 + 288578*b**2\/3 - 1935340*b\/9 = 0?\nAnswer: -25465, -19, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 140946*-5\nAnswer: -704730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76082 + -1 - 11\/66*12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 10*o**2 + 9*o - 5. Let p be b(6). Let t be 54\/15 - (-4)\/10. Suppose -t*a + 55 = a. Calculate the greatest common divisor of p and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -444*s + 37. Calculate i(1).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1)\/sqrt(12) + sqrt(17))**2 - sqrt(17) - (sqrt(85)\/sqrt(5)*4 - sqrt(17)).\nAnswer: -4*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 12 - 0. Let y = -44 - -49. Suppose -y*k + 33 = -3*s - 20, -w*s = 3*k - 51. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/27 - (-8607)\/3510. Let y = 40\/39 + k. Let q = -8951 - -53563\/6. Calculate the common denominator of y and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10866 in 0.4, 3\/8, -0.3, -2\/5, 4\/9, -13?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 23*r**2 + 22*r + 22. What is the remainder when 830 is divided by s(-22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 442648752.\nAnswer: 2213243760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 199? (a) -4 (b) -0.1 (c) -3 (d) -3.9 (e) 22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**3 - 6*t**2 + 6*t + 4. Let i be (-37)\/7 + 12\/42. Let f(n) = 4*n**3 - 5*n**2 + 5*n + 3. Calculate i*h(z) + 6*f(z).\nAnswer: -z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6226*q**2 + 3550*q**2 + 6883*q**2.\nAnswer: 4207*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32692894427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k + 3. What are the prime factors of u(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101274986 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(sqrt(2736)*1*-2 - 3*(sqrt(2736) - (sqrt(2736) + -2*sqrt(2736)))))**2.\nAnswer: 6303747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (8 + 4 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035480 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 5*t**2 + 6*t + 3. Let l be j(-6). Let u be (-15)\/((1\/2)\/(50\/(-60))). Suppose -8 = -27*n + u*n. Solve l = v + 1, 2*i = n*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) -3 (c) 0.3902 (d) -2\/17 (e) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:06 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y. Let c(v) = 5*v**3 + 2*v**2 + v + 2. Let a(o) = -c(o) - 3*f(o). Let q(p) = -4*p**3 - 3*p - 2. Calculate -3*a(i) + 4*q(i).\nAnswer: -i**3 - 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -204 + 52563. Is 93 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*k = 16, 0 = 5*p + 5*k + 29 - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 18, 66, 156, 300, 510, 798?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i**2 + 4*i**2 + (-2*i**2 - 1 + 1)*(2 + 0 + 0) - 3*i**2 - 3*i**2 + 4*i**2)*(-216*i + 3388*i - 1465*i).\nAnswer: -5121*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 242*v - 6. Let l(y) = -241*y + 4. Give -3*l(o) - 2*n(o).\nAnswer: 239*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*s - 47*s + 33554215 + 9546765 = 0. Round s to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -362\/395?\nAnswer: -362\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 226004 (base 7) in base 16?\nAnswer: 9e1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51030 - -3061873\/60. What is the common denominator of -61\/66 and i?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 968*o**2 - 861*o + 164*o + 257*o - 710*o wrt o?\nAnswer: 1936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.46 - -0.37. Round t to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**3 + 3*i**2 + 5*i**3 + 2 - 6*i**2. Let d be t(2). What is the remainder when -94*(2 + 5\/d) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346366 is divided by 2207.\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -578?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 66677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 4 + 2 + 16*k**3 - 85*k**3.\nAnswer: -69*k**3 + 3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 v when four letters picked without replacement from {y: 13, v: 3}.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let v be (-10)\/(-65) - (1 - 1). Let q = 0.817 + -5.817. Which is the third biggest value? (a) v (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 36. Let g = 20.89 - 15.925. Let q = g - -0.035. Which is the second biggest value? (a) u (b) 0.02 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Let f(s) = -11713*s**2. Calculate f(a(h)).\nAnswer: -46852*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/(-30)*((-74)\/24 - 0). Let i = -37\/45 + r. Is 7 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 6:48 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10017, -20074, -30127, -40176, -50221, -60262, -70299?\nAnswer: -80332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 717\/29743 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/12 + v**3\/2 - v**2 - 12*v. Determine h, given that q(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8997894*q. Let d(k) = 29*k**2. Calculate d(n(b)).\nAnswer: 2347900796621844*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Suppose -29 = -k - 5*p, k = -0*k + b*p - 16. Solve 0 = -9*u + k*u + 20, -3*l = u - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1013 - 793 + 10289*c - 13411*c wrt c?\nAnswer: -3122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*k**3 + k**3 + 27*k**3)*(-2*k + 4*k - 3*k) in the form p*k**4 + i*k**3 + a*k + d*k**2 + x and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -216824292.1 rounded to the nearest one hundred thousand?\nAnswer: -216800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 1 - (1955 + -1994).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, d: 6, e: 3, n: 1, w: 2}. What is prob of picking 2 w and 1 e?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 - -118.8. Which is the biggest value? (a) 60 (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -3 + 31\/6*k**3 - k**2 - 1\/24*k**4 + 0*k. Let b(m) = 3*m**2. Determine b(o(y)).\nAnswer: 3*y**2 - 186*y + 2883","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1453*f + 1129. What is the tens digit of u(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyuumpmuyuuymuqmy. Give prob of sequence pyq.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 114 = 176 + 185 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:21 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -158, -156, -154?\n\"Answer: 2*c - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35013, 34494, 33975, 33456?\n\"Answer: -519*c + 35532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*a - 5*o = 190*a + 215072, -2*a + 3*o = -430151. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1085 - -1043.92. Let k = y - -58. Round k to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 - (25 + -34).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2538 and 84726?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*i - 91*i + 1386 - 5490 = 0 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 27*s + 8. Suppose 170 = 2*o + i - 50, 4*o - i = 446. Suppose 3*g - o = 5*c + g, -4*c + 2*g - 90 = 0. Is l(c) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*a - 50097, -4*a = -68*j + 70*j - 66794. Is 54 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*(-40)\/32*(-16)\/(-120)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -34 - (-60 + (4 - -43)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/11572 and -13\/11.\nAnswer: 11572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-9))\/((-4)\/3). Let t = 0.463 - -0.037. What is the closest to l in t, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -7) + 2*6. Suppose -2*v + d = 2*i - 104, 2*i + 4*v - 132 = 0. Calculate the greatest common factor of i and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (35 + -20 + (15 - -20))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2, -103 in ascending order.\nAnswer: -103, -17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.6 = 1835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -18*a**3 - 3*a**2 - 13*a - 9. Calculate j(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**4\/24 - p**3\/3 - 14*p**2. Let j be q(8). Find the second derivative of j*c**2 + 7*c + 3*c + 0*c wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((36\/(-30))\/(-3))\/(2\/4))\/(161\/(-11270))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3069397*l - 24555163. What is r(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11462 + 19130. Let q be (-4230)\/(-25)*181\/4. Let n = k - q. Calculate the common denominator of 41\/4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 66781.05km?\nAnswer: 66781050000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**21\/s**(-4\/13))**(-1\/24) assuming s is positive.\nAnswer: s**(-277\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143221 + 1364?\nAnswer: -141635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((180\/(-264))\/5)\/((-1)\/(-2)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/479, 0.25, -4, 0.2?\nAnswer: -3\/479","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17710 (base 8) in base 12?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/5*(-20)\/(-600)*-10.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 964*a + 606240.\nAnswer: -2*(a - 360)*(a + 842)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, -9, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 6, -2, 1, 124 in descending order.\nAnswer: 124, 6, 3, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4807211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/(-420))\/((-312)\/13).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3311 + -582. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -1\/6, -10, 64, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 27. What is u(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642809 to the power of 1\/2, to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26633066503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2. Let n(i) be the third derivative of i**4\/8 - 13*i**3\/6 - 2*i**2 - 190. Determine n(l(g)).\nAnswer: -15*g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiq when three letters picked without replacement from iuq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102233 + -1313?\nAnswer: -104101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99 - 24*g**2 + 2*g + 99 to the form p + d*g + z*g**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.568642 - 5.57. What is i rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 2 r when four letters picked without replacement from bzrrxzrxrrrzw?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 315 = -291. Let g(r) = 1. Let y(o) = o - 9. Let b(a) = -4*g(a) - y(a). Determine b(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113*t**2 + 1113*t**2 + 11*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 5*o**4\/4 - o**3 + 4*o - 5. Let j(k) = -k**2 - 7*k - 4. Let t be j(-6). Is 16 a factor of f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -27. Let h be 4\/t - (-11)\/(429\/(-6)). Solve h = -w - 4 - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 239\/2, -3\/7, -2 in ascending order.\nAnswer: -2, -3\/7, 0.4, 239\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -138862?\nAnswer: -138861.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 593 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1 + l + 2*l - 2*l. Let c be z(2). Suppose 13*w - 12*w - 8 = 0. Calculate the greatest common divisor of c and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j + 4. Let k = j - -7. Let n = -0.2 - -0.3. What is the third biggest value in -2\/5, n, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ala when three letters picked without replacement from kklkkaalaakkkalllk?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -3. Calculate the common denominator of -23\/6 and v\/(400\/(-532)) - 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 3 - 6*v - 8*v + 20*v to p + q*v and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -36. Let r = -8.1 + m. Let z = -11 + 3. Do r and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -8) + (-2)\/(-2). Calculate the highest common divisor of 4 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 9:56 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19453 - 7786. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from mvmvmv?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 + 5079*a**2\/2 + 52470*a + 168928 = 0. What is a?\nAnswer: -16, -4, 5279\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (209\/(-38))\/((-14)\/(-21)) + 9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in minutes?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 64*m**2 + 2*m + 3. Let c be l(3). List the prime factors of c\/36 + (-6)\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*s + 164*s + 407 - 1597 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*-1*(2 + sqrt(88)\/sqrt(2)) + 1)**2.\nAnswer: 312*sqrt(11) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10160630, 10160654, 10160702, 10160786, 10160918, 10161110, 10161374, 10161722?\n\"Answer: 2*r**3 + 10*r + 10160618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -12 + 10 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 0, -14 in descending order.\nAnswer: 7, 3, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h**2. Let k be d(1). Suppose k = -4*s + 64 + 40. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 5. Let x = 12705 - 12708. Which is the closest to -1\/6? (a) 3\/2 (b) x (c) q (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12380, 12521, 12664, 12809, 12956, 13105?\nAnswer: 13256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022368856 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4287.\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(18\/11)*p**(2\/27))**(-16) assuming p is positive.\nAnswer: p**(-8128\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*p + 175 = -p, -4*f + 2*p - 140 = 0. Let i be 10\/f + 72\/7. Suppose 9*z = i*z - 12. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = -2*p, -3*p + 3 = -4*p + l. Let b = 2 - 2.4. What is the nearest to 0 in p, b, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.26 + -0.26. Let k = f - 14. Let c = 17\/12 - 3\/4. What is the biggest value in k, c, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -346.87 from -0.2.\nAnswer: 346.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w**3 + 2*w**2 - 1. Let q be k(-1). What is the greatest common factor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.1153\nAnswer: 0.03459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 23 = -178 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**4*f + 11*c*f**3 + 4*c*f + f**3 + 46 wrt c.\nAnswer: -12*c**3*f + 11*f**3 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ddzzdddzdzdddd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**2 + 509*m - 316. Calculate g(63).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 7*x**2 - 11*x - 5. Let g be s(-5). Which is the third biggest value? (a) 8 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7.3, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3385035, -6770069, -10155103?\n\"Answer: -3385034*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 0*p + 2*p. Suppose p = 3*a - 2*a. Solve a = -x + 4 - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:53 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1236863384 to the nearest integer?\nAnswer: 35169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*v - 74 = -125*v. Let c = v - -572. Does 38 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + (sqrt(99) - 6*sqrt(99)*-2)) - 4*(sqrt(99) - sqrt(99)*1))\/(sqrt(900) - 3*sqrt(900)*1).\nAnswer: 13*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbc when three letters picked without replacement from mllbmc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 3*m**2 - 3*m - 1. Let r = -90 + 87. Determine w(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307ca (base 13) to base 12\nAnswer: -42448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30712670 divided by 10?\nAnswer: 3071267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20220 (base 3) in base 14?\nAnswer: d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3*6\/27. Let v be (-41)\/(-35) - (-18)\/(-30). What is the biggest value in i, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 27*q - 24. Let t(a) = a**3 + 2*a**2 - 3*a + 5. Calculate the remainder when 204 is divided by t(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/75)\/((2\/310)\/1). Suppose 5*m + 1 - v = 0. Let r = 4 + 6. Calculate the remainder when r is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 442*n - 29445. Determine j(70).\nAnswer: 1495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 2*w - 2. Let c be h(-2). Let q be -4*c*(-20)\/(-32). Let g = 19 + q. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w. Let c(x) = x**3 - x + 2. Let g be c(0). Let u(y) = -y + g*y**2 - 3*y + 4*y. Give r(u(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/4*4\/(-12). Let f(k) = -4. Let b(p) = 2*p - 32. Let r(i) = l*b(i) - 8*f(i). Let s(z) = -291*z**2. Give r(s(a)).\nAnswer: -582*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 65 = -35. What is the remainder when 49 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16445885 and 10880?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -218 + 112 + 99 - -45\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/11, 1, -0.19 in decreasing order.\nAnswer: 4, 1, -2\/11, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and 8.27417.\nAnswer: -1.9030591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {z: 1, l: 1, b: 2, s: 1, h: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, 1, 59 in increasing order.\nAnswer: -10, -1, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 3*t**2 + t**2 + (9*t**2 + 10*t**2 - 17*t**2)*(-18 + 12 + 22) as l*t + d*t**2 + x and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = -13*p + 6*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23743998 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -111, -389, -935, -1839, -3191, -5081, -7599?\nAnswer: -10835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*c = -164*c - 34 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2156 and 2156 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + (sqrt(330) - sqrt(330)*-2)\/sqrt(6) - (sqrt(55) + sqrt(7920)*-5))\/(sqrt(1215)\/sqrt(3) - (sqrt(5) + sqrt(2695)\/sqrt(11))))**2.\nAnswer: 43659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m - 1118 = -2*w, -m + 2222 = 4*w. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 23 (b) 0.21 (c) -0.2 (d) -8 (e) -10 (f) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 12. Let h be y\/(-9) + (-4)\/6. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3320886*t**3 + 2*t + 2510149.\nAnswer: 9962658*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 506828, 506767, 506708, 506651, 506596?\n\"Answer: u**2 - 64*u + 506891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(-7 + 7 + 3*u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7884, 7914, 7968, 8058, 8196, 8394, 8664?\n\"Answer: 2*u**3 + 16*u + 7866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168704 and 18.\nAnswer: 1518336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2270 = -138*y + 240*y + 1504 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.06, -0.2, 2, -0.1, -1.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18938, 76149, 171500, 304991?\n\"Answer: 19070*r**2 + r - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:29 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -249, 1\/3, -13\/2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 22*b = 26*b - 4, 2*z - 4*b = 0. What is the least common multiple of 1443\/37 - 2\/z and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 6. Let g be a(4). Suppose g*j - 21 = -j. Suppose 12 = o - j. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1031140733401*g**2 + 8123608*g + 16.\nAnswer: (1015451*g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(266) + (sqrt(266) - 4*-3*sqrt(266)))\/sqrt(7))\/(sqrt(4)\/(sqrt(4)\/sqrt(98) - sqrt(2))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203150912 a multiple of 2612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -132486 divided by 66243?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/281330 and -62\/35195.\nAnswer: 1980281870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -14*k + 59. Let h be x(-26). Let o = 598 - h. Calculate the common denominator of 5\/4 and (-4)\/(-18) - o\/(-45).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -2, 3, -0.7 in descending order.\nAnswer: 3, 0.02, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07957 in 0.06, 3, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 600.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.58 rounded to 0 dps?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-70)\/(-25))\/(2\/10). Suppose -4*h - 9 = 3. What is the remainder when 38 is divided by (v - h - 1) + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522 divided by 32?\nAnswer: -761\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84276757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33903 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 24, 3, 2, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 23*l + 164. Determine v(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 k, and 1 g when three letters picked without replacement from gfgfxgkffffk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332 + -120200?\nAnswer: -113202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - 127. Let j(y) = -18*y**3 - 2*y - 3. Let t be j(-2). Suppose -z - z + d + 151 = c, 2*z + d = t. What is the remainder when z is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.9 + -4. Let m = x - 2.9. Let a = 0.2 - 0.3. Sort -4, a, m in ascending order.\nAnswer: -4, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 5*l + 7, -30*l = -5*g - 28*l - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4*d**2 + 17*d - 7. Let w(m) = 3*m**3 + 7*m**2 - 35*m + 13. Let v(q) = 2*w(q) + 5*z(q). List the prime factors of v(7).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Suppose 5*o - 5*s + 3 - 43 = 0, h*o - 11 = -3*s. Find the third derivative of o*j**2 - 2*j**2 + j**3 + 0*j**3 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 144\/30 - 5 - (-1028)\/(-10). Let s = -101 - b. Suppose -4*t + 3*o = 32, 5*t - 2*o = -3*o - 21. What is the closest to 0 in t, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4445.9489 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/48)\/(-1))\/(3\/(54\/2)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 548\/4795*(-11 + 913\/88)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124549720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*r + 2*b + 10, 2*b + 10 = -r. Let k(q) = 0*q**2 + r*q**2 - q**2 - q**2. Let g(y) be the second derivative of -y**3\/6 - y. Determine k(g(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from dfofoddwcofdco?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6107069 is divided by 76.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918824247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2087 from -2.\nAnswer: -1.7913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265 and 2964502.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.02 + 5. Let i = c + -0.04. Let f = i + -0.34. What is the nearest to 0 in f, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 50. Does 7 divide 3\/y - (7 - 60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18530?\nAnswer: 2, 5, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = w - 1017. Suppose -x + v = 6*v - w, 2*v = 3*x - 3779. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2. Let t(h) = -7*h**2 + 0 - 8*h**2 + 0. Give b(t(w)).\nAnswer: 450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**7\/945 - s**6\/270 + s**5\/270 + s**4\/54 - 2*s**2. Factor u(w).\nAnswer: -2*w*(w - 1)*(w + 1)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 5*k + 29, 4*k + 2*v - 1554 = -1576 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -690296*p**2 - 1455653*p.\nAnswer: -1380592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 2. Suppose -j + 4 = -v + 5*v, -v = -j + 4. Suppose 4*l = 2*d - v*d + 10, -2 = 2*d. What are the prime factors of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjka when four letters picked without replacement from {k: 1, t: 1, a: 10, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*g - 81 = 15, -3 = g. Let w be -6 + 6 - 3 - 29857*c. Round w to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, -2\/9, -3, -4\/15 in descending order.\nAnswer: 9, -2\/9, -4\/15, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 5*r**2 - 3*r + 2. Let h be o(5). Let w = -193\/15 - h. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 + -51?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 86*g - 690. What is d(13)?\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 820.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1799 - -1834. Calculate the least common multiple of 570 and g.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-344)\/(-12) - -3 - (-25)\/3600*-12*8.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17871970 divided by 470315?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/43? (a) 4 (b) -123 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -296\/35 - -17\/2. Let f(i) be the second derivative of 0 + 0*i**4 - 8*i + 1\/105*i**6 + 0*i**2 + 0*i**3 - a*i**5. Factor f(q).\nAnswer: 2*q**3*(q - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (7\/2)\/((-7)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 7:05 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.935 and -15896.\nAnswer: -14862.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 36?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(2\/(-4))\/(6\/(-26569092)*-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257 or 2817\/11?\nAnswer: 2817\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.2 (b) -3\/4 (c) 26 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 38*l**2 + 17*l + 148. What is the units digit of x(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*l, -l + 393 = 3*t + 4*l. Suppose 5 = -y, -a + t = -5*y - 938. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6514 - 31946 = -5477*w - 107195 - 188684 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 66 + 4. Let o = q - -20. Let v = -20 + 15. Let l(n) = -5*n**3 + 6*n**2 + 6*n - 5. Let x(j) = -4*j**3 + 5*j**2 + 5*j - 4. Give o*x(h) + v*l(h).\nAnswer: h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(0 + sqrt(19)))**2 - (2 + sqrt(304) + sqrt(304) + -4).\nAnswer: 4*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(14\/3)*j*j**(1\/3))**(-4\/7))**(-2\/17) assuming j is positive.\nAnswer: j**(48\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:47 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*z**5 - 6*z**3 + 13*z wrt z?\nAnswer: -320*z**3 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 735632 + 239370. Suppose 2*o + 3*o + 2*q = -j, 0 = -o + 3*q - 194997. Let f be o*((-3)\/(-9) - -1). Round f to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291\/9 + 4\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 391692 + -1.56.\nAnswer: 391690.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 v, and 1 y when four letters picked without replacement from lvsvyylylssjjsllls?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqvz when four letters picked without replacement from {v: 4, q: 2, w: 1, a: 1, z: 1, x: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*o + 5 - 2*o**2 + 24*o - 3*o - 11 + 3*o**3 - 7*o to r*o**2 + g*o + y + f*o**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/11 + 7588*u\/11 + 1012134\/11 = 0.\nAnswer: -129, 3923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/664114 and 89\/6641140.\nAnswer: 6641140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3315*g**4*y + 4*g**3*y - 2*g**3 + 3*g**2*y - g**2 + g*y - 308*g - 2 wrt g?\nAnswer: 79560*g*y + 24*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3960 and 65712680?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8\/h**(-1\/2))\/(h*h\/(h*h**(1\/5)\/h))**42 assuming h is positive.\nAnswer: h**(-671\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30659 and 8901?\nAnswer: 275931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/(z**(-8)*z))\/(z**(2\/29)*z**(22\/5)) assuming z is positive.\nAnswer: z**(1237\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -358*p + 20048. Calculate b(56).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11023981 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0140759 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let q = 1.579 + -2.079. Let m = 2 + -1. Which is the fourth biggest value? (a) m (b) 3 (c) q (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 938.64.\nAnswer: 930.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10) - 5612\/(-7820). Let g be (3 + -4)*(1 + 3). What is the nearest to -2\/7 in -2\/7, a, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1344826 (base 9) to base 3\nAnswer: 1101111220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69\/110 + 5\/22. Let r = -1 - -5. Put r, b, -4 in descending order.\nAnswer: r, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-3\/7))\/q**(3\/2))\/((q\/q**(1\/3))\/q)**(-5)*(q**(2\/7)\/((q\/q**(-2))\/q))**(-19) assuming q is positive.\nAnswer: q**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = 28. Let b(q) = -8*q - 23. What is the tens digit of b(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j**2 - 2*j**2)*(2*j - 2*j + j**2) - 19*j**4 + 19*j**4 - 16*j**4.\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.4 (c) 3 (d) 37\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 21. Let u = 14.0000014 + h. Round u to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216*t**4 + 1801*t + 476*t**4 + 579*t**4 - 37*t**4 wrt t?\nAnswer: 9624*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101102222011220 + -22?\nAnswer: -101102222012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(1300) + -1 + sqrt(1300) + 2))**2 + sqrt(208)*1 + -4 + ((sqrt(208) + 0 + 4)**2 - sqrt(208)).\nAnswer: 752*sqrt(13) + 47056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128657.\nAnswer: 128657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 58226516.1 to the nearest one million.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -1a2?\nAnswer: -19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 6. Let k be (386\/6)\/(1\/(-3)). Let c = 188 + k. What is o(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.98 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5381 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979 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: Simplify r**(-1\/4)*r*r**(8\/7) assuming r is positive.\nAnswer: r**(53\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmggg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 153. Which is bigger: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -22*g**2 + 2*g - 2. Suppose -f + 6 = 4. Let u be v(f). Let p = 151 + u. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/6 + 5*a**3\/6 - 551*a. Let c(f) = -4*f**2 + 10*f. Determine -4*c(v) + 9*w(v).\nAnswer: -2*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-70) - ((-4)\/20)\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 991, 5, 8027 in ascending order.\nAnswer: 5, 991, 8027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*((s**(-11)\/s)\/s)\/s*s**(2\/3) assuming s is positive.\nAnswer: s**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i - 540. Let n be f(27). Let a(m) = m - 5. Give a(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440 divided by -40?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w + 3. Let z be q(3). Calculate the lowest common multiple of 11 and (-5 - z)\/(4\/6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 9:14 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2. Suppose 5*r = 4*m - m, m = -4*r. Suppose -x + m*x = 0. Calculate g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -25. Solve -j + i = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 82514.03m?\nAnswer: 82.51403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2)\/(21\/(-84)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51\/7*p**2 + 60\/7*p + 108\/7 - 3\/7*p**3 = 0 for p.\nAnswer: -18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/1867, 2, -0.4, -0.5, -20\/7, 4, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -17, -18, -15, -8, 3, 18?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3210.4 minus 914421912?\nAnswer: -914418701.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (7 - (2 - ((-3 - -7) + -5))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159500298?\nAnswer: 2, 3, 26583383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69993913 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by (-47)\/(-2) - (-2)\/((-12)\/(-3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 93 = 129 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2 - 26. Let m(g) = -494*g - 505*g + 1023*g. Give o(m(c)).\nAnswer: -4032*c**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + (21 - (13 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t)*(0*t + t + 0*t) - 3*t**2 + t**2 + t**2 + 10*t - 10*t - 5*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 205, 811, 1831, 3271, 5137, 7435, 10171, 13351?\n\"Answer: p**3 + 201*p**2 - 4*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14995 (base 12) to base 2\nAnswer: 111000110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/7, -2\/25, 12 in increasing order.\nAnswer: -10\/7, -2\/25, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-1)\/(-3)). Solve 2*m + w = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043010868.\nAnswer: 2, 661, 772697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:34 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -4 (b) 3\/5 (c) 5 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - p + 4. Let n be 1\/((-3)\/9*-1). Is d(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -212111?\nAnswer: -212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 17, -3, -47, -121, -231, -383?\n\"Answer: -y**3 - 3*y**2 + 14*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 590, 739, 472, -205, -1286, -2765?\nAnswer: -4636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**3 - 55*r**2 + 466*r - 66. List the prime factors of k(30).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w - w + 3*w + (2 + 1 + 0)*(-12*w + 5*w + 6*w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 3*d**3 - 74*d**3.\nAnswer: -73*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r - 2*l + 1, 0 = -5*l - 5. Is -1\/1720 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**4\/4 + 2*p**3\/3 + 3*p**2\/2 - 2*p - 3. Suppose -6 = 12*z - 14*z. Determine q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*t + 8 = 5*t, 3*w + 2*t = 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Find the third derivative of -4*x**6 + l*x**2 - x**6 - 2*x**2 + 2*x**6 wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3967*y**2 + 1852*y + 5?\nAnswer: -7934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28727.\nAnswer: 23, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2772267 = -317*r + 134*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 30756*u**3 - 30718*u**3 + 4*u**2 - 2*u**2 - u. Let p = -1 - -2. What is the tens digit of w(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oloq when four letters picked without replacement from bqoblolqllllobllb?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9500*p + 47548. Give g(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from dtuubyyyyb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 11:35 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 2}. What is prob of picking 1 y and 1 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 1 + (6 - 2). Suppose -2*x - 264 = -d*u + 3*x, 0 = 3*u - 4*x - 261. Calculate the remainder when u is divided by (-4)\/6 - 44\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24029 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 22*f + 984. Let x be y(-54). Which is bigger: x or -1625\/8?\nAnswer: -1625\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -40, -50, -44, -16?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -767 + 422. Let k = r + 346. Let l be 101\/(-215) + (-16)\/(-40). Which is bigger: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200 + 1883. Let k = p + -1046. Is k a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 53, 73, 97, 125, 157?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 24*b - 42. Calculate k(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325532.\nAnswer: 2, 97, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**5*c)\/((c*c**(2\/3))\/c*c))**26)**(-4\/11) assuming c is positive.\nAnswer: c**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181 + 314. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7507611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/((-64)\/(-60)) - (-3)\/(-2). Let f(g) = -g**2 - 8*g + 12. Calculate f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 11*d - 19. Let v be m(-8). Let k(g) = 174*g - 41. Is k(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14378667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (272\/6)\/(3\/9). Suppose 4*l = 82 - 14. What is the greatest common factor of l and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13640)\/22)\/(120\/(-6))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14507197.\nAnswer: 14507197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1583 - 829. Suppose 8*g = 3*g + 3*i + j, -164 = -g + 5*i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide ((-1)\/(-2)*19)\/((-18)\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u - 4*m - 1, 5*u = -2*m + 11. Suppose -3*a - s = -6*s - 43, 5*s - 5 = -5*a. Calculate the highest common divisor of a and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17959?\nAnswer: 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4410 + 4497. Solve -10*t - u + 107 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44540203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 w, and 1 g when three letters picked without replacement from qwetqeewgeteeeg.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -17*p**4\/4 - 6*p**2 + 352*p - 77. Differentiate c(k) with respect to k.\nAnswer: -51*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**5\/15 + 32*l**2. Let j(g) = 20*g**2 + 1. What is k(j(c))?\nAnswer: -1600*c**4 - 160*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, f: 2}. Give prob of sequence xff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - c = -4*h + 47, 90 = 5*h - 4*c. Suppose 26 = -5*l - h. Let s = -5 - l. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/23)*m**(-2\/5)*m*m)**(-15\/7) assuming m is positive.\nAnswer: m**(-582\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 210, 7, 46, 4, 1, 3 in descending order.\nAnswer: 210, 46, 7, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**6\/240 - z**4\/16 + z**3\/6 + z**2 - 3. Let b(u) be the second derivative of g(u). Suppose b(p) = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 1502*i**2\/3 - 1447919*i\/3 + 743945396.\nAnswer: (i - 1357)**2*(i + 1212)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from tbbtbbbbbbbtbbbtbbt.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:15 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -3) + 3 + 1. Let n(m) = 26*m + 67. Let u be n(-2). Solve u = 2*v - r*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/7)\/w*w*(((w*w\/(w*(w**(-10)\/w)\/w))\/w*w)\/w)\/w)**(-24) assuming w is positive.\nAnswer: w**(-1920\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:31 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20979737 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:25 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/(-429) + 14\/(-91))*(-18)\/(-8).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 13. Suppose 0*j = -2*j. Suppose 0*r = 3*i - r - 63, 4*r = j. What is the remainder when i is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b + 14. Suppose -2*s + 3*s - 6 = 0. Solve 3*j + 0*j = -s, b = -t - 3*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240715220.\nAnswer: 2, 3, 5, 23, 899069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/144*12 + 176\/17 + 484\/(-44)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-98)\/7)\/(-2). Suppose 0 = -x*f + 67 + 654. What is the remainder when f is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66, -153, -266, -417, -618, -881?\n\"Answer: -2*s**3 - s**2 - 70*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*v - 838*v + 163*v.\nAnswer: -837*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -16 + 38 - 3 - 85?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 3*u**2 + 7*u**2. Let y(k) = -11*k - 97007 + 11*k + 97009 + 16*k**2 + 22*k**2. Determine y(n(r)).\nAnswer: 152*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 less than -162967640?\nAnswer: -162968108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1593, 1922, 2245, 2562, 2873?\n\"Answer: -3*q**2 + 338*q + 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - y + 4*y**3 - 1 + 0*y**3 + 0*y**3 to the form n + v*y**2 + o*y**3 + r*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 2) + 3 - (-20 - -27).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1449\/(-14)*(-14 + (-234532)\/(-17136) - (-4)\/14)\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. What is the smallest common multiple of 6 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 1 (c) 18301 (d) 6 (e) 0.5 (f) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1005678.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10319100 to the nearest one hundred thousand.\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -375\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 - 4*u**2 + 18*u + 21. Give l(5).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/40*256\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -585, -684, -783, -882, -981?\n\"Answer: -99*g - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*a = -n + 86*a + 2, 2*n - 2*a = 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*p**5 + 10*p**4 + p**2 + 127.\nAnswer: -360*p**2 + 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 225878987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-5)\/220*(-20)\/(-5)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20212 (base 3) to base 12.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219664, -219052, -218440, -217828, -217216, -216604?\nAnswer: -215992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 132 = -7*m + 4*w, 3*m + 103 = -w. Let n = m + 84. What is the remainder when n is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsttqsttrsrtsst. Give prob of picking 1 q, 1 s, and 1 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w + 6*w - 90. Solve -i - 5*n = -w, 7 = -3*i + 3*n + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (24 + -25 + -45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 0 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66787, -69922, -73045, -76162, -79279?\nAnswer: -82402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 49*h**2 + h - 25. Let c(k) = 60*k**2 + 2*k - 24. What is 4*c(i) - 5*w(i)?\nAnswer: -5*i**2 + 3*i + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:37 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -93. Let l(q) = 2*q - 11. Let g be l(v). Solve -5*w = g*j + 6, 4 = -4*j - 5*w - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24 - 0) + 15 - (-13 - -4)) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10330778*l**2. Let c(t) = -4*t. Determine j(c(q)).\nAnswer: -165292448*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*j + 52, 3*j + 8 = w - 7. List the prime factors of 8\/w*102\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 11. Let g be p(6). Solve 4*s + c = -24, -41 = g*s + c + 3*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3bbb4 + 0?\nAnswer: 3bbb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/12*38*-2. Let o = j - -4391\/21. Which is the nearest to 0? (a) o (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*i - 4*b**3 + 4*b**2*u**3 - 2*b*i - b*u**3 + 355*u**3 wrt b?\nAnswer: -6*b*i - 24*b + 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-36))\/(10\/16). Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -856\/5 (b) -4 (c) 3\/620 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 573918266 to the nearest integer?\nAnswer: 23957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*j**2*z**3 - j**2 - 4910*j*z**3 + 5556*z**3 + 8*z with respect to j.\nAnswer: 38*j*z**3 - 2*j - 4910*z**3","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 hhhhhhhhhvhhhhh.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*h + 342 = -20, -3*b = -5*h + 535. Let t = b + 178. Put t, -1, -14 in ascending order.\nAnswer: -14, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2873*r - 1544*r - 1585*r. Let d(z) = -7*z - 3. What is d(u(c))?\nAnswer: 1792*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*p + 2*p. Let n = p - -16. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*x**5 + 5969*x**3 - 124574*x wrt x.\nAnswer: 600*x**3 + 35814*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -25*a**2\/2 + 11*a + 18. Let v(j) = -7*j - 2 + 4*j + 8*j. Determine -11*v(n) - 2*y(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77\/19 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -505896\/7 or -72271?\nAnswer: -505896\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 4*i**2 - 4*i - 2. Let u be n(5). Suppose -u*y = -2*y. Suppose -q = -3*v + 12, 3*v + 0*q - 12 = -5*q. Solve 4*a + v + y = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 1\/2*d**2 - 1 + d**3 + 8*d - 1\/2*d**4. Let u be g(-9). Round u to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 283, 453, 659, 913, 1227?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*b + 165*b = -3*q + 11, 2*q - b - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 74, -3, -73616?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*k - 43*k - 51760 = 169*k - 474*k for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/420 + 17*w**5\/630 + 3*w**4\/28 + w**3\/9 + 38*w**2 + 2. Let b(d) = 0. What is d?\nAnswer: -1, -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206079792821 + -206079963372.925953. Let x = 170552 + c. Let z = -0.074 + x. Round z to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-2 + 3 + 1)*(2*u**3 + u**3 - 6*u**3).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 123\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:24 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**(-3\/10)))*d**(-2\/11))\/(d**0\/(d\/d**5*d)))\/(d*d\/d**(-3\/4)*d**(4\/9)*d*d*d*(d\/d**(2\/7))**27) assuming d is positive.\nAnswer: d**(-387553\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2006 (base 7) to base 15.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50336753*n + 5915063 wrt n?\nAnswer: 50336753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 19*x - 4. Suppose -2*y + 16 = 2*y. Let v be h(y). Let q = 5758 - 5710. What is the highest common divisor of q and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*l - 7*l + 8*l - 14*l)*(-1 - 3 + 3) in the form a + r*l and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + 19\/(-3)*-10. Suppose 5*d + 8 = f. Let x = 17 - d. Solve 3*y + 3*j = -3, -5*y - 3*j = j + x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 7*f**2 + 14*f + 10. Let j(z) = z - 2. Let v be j(-2). Let a be i(v). Determine l, given that -l - 6*l + 3*l - 4*l**a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 41 = 181. Let v be -1*((-8)\/(-10))\/(o\/(-10)). What is the closest to v in -0.5, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -1\/6*z**3 + 2*z**2 + 15*z + 0. Calculate the remainder when 35 is divided by m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119149224*r + 344179987 wrt r.\nAnswer: 119149224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = -10. Is d*(-5)\/(75\/13945) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/7)\/(4 - (-17)\/(62118\/(-14604))). Put n, -11, -5 in ascending order.\nAnswer: -11, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59935424 divided by 4?\nAnswer: 14983856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/60 + m**4\/2 - 7*m**3\/3 + 17*m**2. Let u be o(-13). Let y be 40\/25*(u\/(-1) + 9). Is y less than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -3.2. Let i(o) = -o**3 - 12*o**2 + 3*o + 37. Let q be i(-12). Let b be ((-42)\/10)\/q + (-8)\/10. What is the biggest value in -2, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 956 (b) 5 (c) 3 (d) 1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170357129.\nAnswer: 197, 864757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17628 by -1754.\nAnswer: -8814\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:16 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 3 + 3)*(-t**2 - 3*t**2 + t**2) - 2*t**3 + t**3 - 4*t**3 to the form k*t + o*t**2 + g + m*t**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (41 - 1) + 2. Let z be w\/14 - 28\/(-98). Is 680 + 3\/(z\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -367613, -8, -1, 11 in ascending order.\nAnswer: -367613, -8, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, i: 3}. Give prob of sequence iaia.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61.35 + 62. Round o to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j. Let v be j\/1 - (2 + 19). Is ((-1)\/4)\/(v\/1092) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45163?\nAnswer: 19, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1403*h**2. Let s(b) = 8*b. What is f(s(x))?\nAnswer: 89792*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from {w: 3, r: 1, b: 11}?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2284*z + 2286*z = -2*x + 102, 0 = -3*x + 18. Calculate the greatest common factor of z and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z - 1. Let m(k) = 4*k + 7. Let v(x) = x - 1. Let n(r) = m(r) + 4*v(r). What is -4*n(g) - 11*t(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 36. Suppose -4*l = -3*g - 3, 3*l = -5*g - 6 + 1. Let z be o(l). Find the second derivative of -30*s - s**4 + 7*s**5 - z*s**5 + s**4 wrt s.\nAnswer: -580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*a**3*g*h**3 - 2*a**3*h**2 + a**3 + 72*a**2*h**2 + 83*a*h**3 - g*h - h**3 wrt h.\nAnswer: 246*a**3*g + 498*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 15*r + 27 = 0. Let n = 24 - r. Let k be n\/(-4) + 441\/84. Solve 0 = -0*m + 3*m - k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 2*i**2 - i - 4. What is f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/(-39) + (-68)\/(-442))*-9. Suppose 81 = u*y + 57. What is the remainder when 270 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:48 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 85 + -230 + 23 + 106\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27944?\nAnswer: 2, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 547950 and 526032?\nAnswer: 13150800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*d + 42 = -100*d - 6*x, -2*x = -5*d + 70 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17975218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 1\/54*s**4 + 0*s**3 - 3*s + 0*s**2 + 0 - 1\/30*s**5 - 1\/189*s**7 + 1\/45*s**6. Factor c(u).\nAnswer: -2*u**2*(u - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 130*z**2 + 494*z - 24674. Calculate v(66).\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4 = -4. Suppose 0*y + 4*y - s - 27 = x, -2*y - 4*s = 0. Let a(g) = g**2 - 8*g + 4. Calculate a(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 20*m - 16. Suppose -3*b + 32 = -4*g, -4*b = -9*b - 2*g + 10. Suppose -3*x - b*x = -147. Determine c(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + b - 11)*(2 + 3 - 3)*(-5 + 3 + 4)*(3*b**4 - 6*b**4 + b**4).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -16*t + 15. Let a be s(-5). Let p = 36 + a. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18 + 26 - 11 + 3 - 1617*i + 598*i**4 wrt i.\nAnswer: 7176*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u - 124*u = -164 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 24 - (10952 + -10915).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -43\/30*p**6 + 0*p**4 + 0*p**5 - 53\/2*p**2 + 0*p**3 + 0 - 86*p. What is the derivative of j(m) wrt m?\nAnswer: -172*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) 0.03 (b) 19 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/4, 4\/7, 1\/16, -0.0611, 6, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c + 52. Let b be m(-9). Suppose 12 + 44 = b*w. Solve -w = 3*h + h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*h - 36 = 0, j + 2*h + 0*h = -2. List the prime factors of (-3)\/j*(938 - 12).\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31285952*v**3 - 7*v**2 + 394249772 wrt v?\nAnswer: 93857856*v**2 - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 27*w + 21. Let a be d(26). Let u(r) = -r**2 - 7*r + 8. Let k be u(-8). Let p = k + 0. What is the nearest to p in 1\/3, a, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p - 105*p - 109*p.\nAnswer: -256*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 3339796 and 3339797 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -281223787\/721 + 390047. Let y = -34555\/36771 - h. Find the common denominator of 17\/27 and y.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3238120044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1377))*-5 + 5*(0 + sqrt(1377) + sqrt(1377)))*5)**2*-1 + 3 + -1.\nAnswer: -861248 - 11250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -17*c**2. Let d(b) = 217972*b**2. Calculate d(i(s)).\nAnswer: 62993908*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 4 - 6*s**2 + 3*s**2 - 2*s. Let p be y(-4). Let k = 54963 + -54957. Which is the smallest value? (a) 0 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.99804 milliseconds to seconds.\nAnswer: 0.07199804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92\/5 + -18. Let o(r) be the first derivative of 2 + 2\/5*r**2 - b*r - 2\/15*r**3. Factor o(v).\nAnswer: -2*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-45)\/(-3))\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200673.\nAnswer: 1200673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 604977.1 years in decades?\nAnswer: 60497.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 2530*h**3 + 1615333*h**2 - 19111620*h + 57062916.\nAnswer: (h - 1259)**2*(h - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36066?\nAnswer: 2, 3, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + ((-60)\/6)\/(-2). Suppose f = -2*f + 2*a + 495008, 4*f + j*a = 659992. Suppose -11*x - 4*x = -f. What is x rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7105556 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and 0.0233207.\nAnswer: 0.003031691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*36.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -469 + 466.89. Let u = r - -1.61. What is the third biggest value in u, 0.4, -1.3, -4?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.083791 - 0.445794\nAnswer: -0.362003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91889074.\nAnswer: 2, 197, 233221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1056 + 1052. Put -12, d, 2\/41 in ascending order.\nAnswer: -12, d, 2\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.4467506 rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 10. Let f be z(3). Let g(d) = -2*d**2 - 22 + 3*d**2 - 24 + 5*d + 45 - 3*d**3. Let q(j) = 4*j**3 - j**2 - 7*j + 1. Determine f*g(o) - 5*q(o).\nAnswer: o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 515871 greater than or equal to 11865039\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from uzzcclgucfu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41517 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 156689012*x + 553195347 wrt x.\nAnswer: 156689012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 + 3*s**2 - 13 + 7*s**2 - s. Let l be f(-9). Let p = l - -3. Put 4, 1, p in ascending order.\nAnswer: p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 31. Let l be k(9). What is the second biggest value in 2, -4\/5, l, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**3 - w**3 - 7*w**3 + 16*w**3.\nAnswer: 31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 6 = -0*b. Let f(p) = -p - 1. Give f(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.17 + 34.1699996987. Round g to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o + 1. Let w be 8\/28*7 - -3. Let z(q) = 7*q + 2. What is w*r(c) - 4*z(c)?\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5 + 7258*x**4 + 1522958*x**3 + 13228526*x**2 + 21917200*x + 10204376 = 0. Calculate x.\nAnswer: -3406, -214, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 - 62. Put c, 0, 2, -4 in descending order.\nAnswer: 2, 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*z - 55*z = 53*z + 294 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:27 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 11:09 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (-46 - -128) + (19 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -834 - -1772. Let z = -20 + 24. Suppose -6*o + v = -z*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 - 12*i**4 - 105*i**3 + 450*i**2.\nAnswer: 3*i**2*(i - 5)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -167, -17, 3 in increasing order.\nAnswer: -167, -17, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 58.8 * -0.2\nAnswer: -11.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 185503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**4\/4 + l**3\/3 + l**2\/2 + l + 1290. Let j(h) = -16*h**3 + 3*h**2 + 3*h + 3. What is -2*j(t) + 6*q(t)?\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h + 5*h. Suppose -f - 5 = -2*g, 4*g + h*g - f = 15. Solve g*i + 4 + 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(9\/8))**(-27\/5)\/(i*i\/(i*i*i**(4\/21))*i)**(-2\/33) assuming i is positive.\nAnswer: i**(20071\/27720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 580 = c. Let t = 153 - c. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 47788.865.\nAnswer: 47793.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0) + (-9 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 4*t**2 - 5*t**2 + 15 - 21 + 3*t + 2*t**2. Let p(j) = 24*j**2 - 8*j + 17. Give 8*c(s) + 3*p(s).\nAnswer: 8*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 14*q = 28. Is (-9716)\/q*2\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/233 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -8. Let l be (u\/2)\/((-2)\/1). Which is the closest to l? (a) 1\/4 (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(5\/(-8))*24\/96?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(2*(5 + (sqrt(1700) + (-1 + sqrt(1700))*6 + (-2*sqrt(1700) + sqrt(1700))*-2)*6))**2.\nAnswer: -59497936 + 401760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625) + 1*sqrt(625)*-1 + sqrt(625))\/((sqrt(270)\/(sqrt(42)\/sqrt(7)))\/sqrt(9)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 22 = -11*m + 6*m, m + 10 = -5*d. Sort d, 1, 2, -2 in ascending order.\nAnswer: d, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 15 + 2*v**2 - v**3 + 5*v**3 - 5*v**3 in the form j + k*v**3 + d*v**2 + i*v and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 - 6 = 0. Let q be (31\/4)\/(p\/(-16)). Suppose 6*c + q = 7*c. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 108\/(-702) + 43\/26. Which is smaller: 0.2 or w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3301 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/((-246)\/(-164)*(-8)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**4\/12 + 11*w**3\/3 - w**2. Let h be q(9). Is 32 a factor of ((24\/9)\/h)\/(6\/477)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w**2 + 3*w**2 - 4*w**2)*(-4*w - w + 3*w).\nAnswer: 4*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 215 + 147 = 2*g, n - 2*g - 103 = 0. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032638 rounded to seven decimal places?\nAnswer: 0.0000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3945 in ascending order.\nAnswer: -4, 2, 3945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouluuihhuulouu. What is prob of picking 1 h, 1 i, 1 o, and 1 u?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 245212?\nAnswer: 245203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -465413 (base 7) to base 5.\nAnswer: -10133210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5653 = -5*g, -3*w + w - 5*g + 3767 = 0. Suppose 4*y = -686 + w. Suppose -21*b = -16*b - y. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a\/(((a\/(a\/a**(-11)*a))\/a)\/a))\/a)\/a*a\/(a\/(a**(-2\/3)\/a)))\/(a**(-8)*a*a**12*a*a*a*a))**9 assuming a is positive.\nAnswer: a**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**6\/120 - z**3\/6 - 2*z**2 - 4. Let y(t) be the second derivative of x(t). Differentiate y(n) wrt n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(35)\/sqrt(5))*5)**2.\nAnswer: -200*sqrt(7) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, 28, 58, 88, 118, 148?\n\"Answer: 30*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 26. Let o = -24 + 31. Calculate the least common multiple of 4 and d(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 188*h**2 + 1 - 4*h**3 - 10*h + 6 - 3*h + 3*h**3 - 173*h**2. Let u be a(14). Solve u = -2*i + 4*f + 5, -2*i = 2*f - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 - 112. Suppose 2*w - 8 = 6*w. Which is smaller: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.58 + -16.7. Let w = 1.87268 - x. What is w rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111001000 (base 2) in base 8?\nAnswer: -6710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863.8 minus -0.1?\nAnswer: 1863.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 3*d**2 - 9*d**2. Let m(j) = -j - 1. Let q = 25 - 24. Let u(f) = 2. Let k(i) = q*u(i) + 2*m(i). Give k(c(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49416215*c + 48374181.\nAnswer: 49416215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47761 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -102c + -391c?\nAnswer: -4949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*c - 61173 = -61226, 4*f = -12*c + 13*c + 38 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (-1 - 8)) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-3)\/(3\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z**3 + 2*z**2 - 6*z - 5. Determine v(2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -265, -274, -293, -328, -385?\n\"Answer: -g**3 + g**2 - 5*g - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2350 - 1175. Suppose -1176*c + 391 = -i*c. List the prime factors of c.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/5))**(-38))**(1\/2)\/(m\/m**(-1\/6)*m**(-3\/2)*(m\/(m**(3\/8)*m))\/m*m*m\/m**(1\/3)) assuming m is positive.\nAnswer: m**(-1363\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3794 divided by -4403.\nAnswer: 542\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/2 - 493*y**3\/2 - 23770*y**2 - 20578*y + 282360 = 0.\nAnswer: -362, -130, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 1. Let m be v(0). Let f = 119 + -85. Let b(d) = 30*d**2 + 2*d - 1 + 8*d - 3*d - f*d**2. Let n(s) = s**2 - s. Give m*b(u) - 6*n(u).\nAnswer: -2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 74?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 12:55 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - t**2 + 4*t + 3. Let a be g(-2). Let u = -4 + a. Suppose -u*c = -2*c - 4, 2*c = 4*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1440 and 800?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 22*q - 34. Let g(d) = -50 + 16 + 131*d - 109*d. Let z(i) = 6*g(i) - 5*v(i). Find the first derivative of z(n) wrt n.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 + 23 = w, 3*w - j = 53. What is the remainder when (-20)\/5 + 0 + (-320)\/(-10) is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 800 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -160*k + 1775. What is y(11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185*c**3*r**2 + c**3*r*t**2 + c**2*r**2*t + 43*c*r**2*t**2 + 2*c*r**2*t wrt t.\nAnswer: 2*c**3*r + 86*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -54.09 * 27\nAnswer: -1460.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*x - 2*x - 2*x)*(-295*x + 7*x**3 + 147*x + 142*x) + 13*x**3 - 5*x**4 - 13*x**3 as o*x**3 + k*x**4 + r*x**2 + y + j*x and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + 6. Let q = j - 26.2. Which is the nearest to 0.1? (a) 3\/2 (b) q (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-7 + (7 - 15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723*t**3 + 496*t**3 - 1093*t**3.\nAnswer: -1320*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + 5 + (-9 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -1.2. Let z be 2*(-1)\/10 - 130\/(-150). Which is the closest to z? (a) 3 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 - 57. Let q = 20 - 20. Let n(h) = -h**3 + h + 16. Calculate the remainder when j is divided by n(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758716?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 350265?\nAnswer: 1751325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**3 - 27 + 14 + 13 + 185*m**3.\nAnswer: 162*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1211769 by -408.\nAnswer: 403923\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -639*2.\nAnswer: -1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 902.3 + -883.384. Let l = q - 15.19. Round l to 1 decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.102.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:59 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102382*o - 102379*o + 2*i - 16 = 0, 6*o + 6*o = 3*i + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n - 2. Give m(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 times -0.9086?\nAnswer: -88.1342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 670*g - 788?\nAnswer: 670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39*1010\/(-90)*(-4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791 + 16*r**2 - 676 + r + 19*r**2 + 1467.\nAnswer: 35*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**9\/20160 + a**8\/20160 - a**7\/5040 + 17*a**5\/60 + 27*a**2. Let d(t) be the third derivative of c(t). Calculate d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 6) to base 3.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - 2*sqrt(198))\/(-2*sqrt(11)*1).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let m(u) = -18*u - 341431. What is m(d(i))?\nAnswer: 18*i - 341431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11838372 to the power of 1\/2, to the nearest integer?\nAnswer: 3441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -178*t - 4442. Calculate r(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 206291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 232 + -145. What is the remainder when t is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396302 is divided by 799?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/12)\/((-2025)\/108).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 63*u - 336. Let v be t(-5). Suppose 0 = -4*f - 10*g + 12*g + 690, -v*g + 195 = f. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*c**5 + 9*c**5 + 3*c**5 + 24*c**2 wrt c?\nAnswer: -840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4) + 23\/4. Solve 7 = -y*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3030 or -4\/19?\nAnswer: 3030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 6. Let y = i + 1.2. What is the nearest to y in 0.4, 3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3269 - 718 = -1329*d. Let q = -8 - -4. Put q, -5, d, 1 in increasing order.\nAnswer: -5, q, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxafxxzzzwxah. What is prob of sequence hxf?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1883\/1462 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 27 - 38 = 0. Let j = -22 + h. Is -35 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40741 * 4.\nAnswer: -162964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (8 - (3 + -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 = 5*c + t + 413, -4*c - 2*t + 22 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4981130 and 1295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74401\/517 + -77 - (-2)\/(26 + -4).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c - 26*c = -4352. Calculate the remainder when 337 is divided by c.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 1. Let q(v) = 16*v + 99. Let r(j) = 5*j**3 + j**2 - 2*j - 4. Let b be r(-1). Let l be q(b). What is the greatest common factor of l and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -116.4. Round k to zero dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:27 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 2, 41, 108, 209, 350?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6874744.\nAnswer: 2, 401, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 145 = 5*n, -4*n + 5*u + 67 = -49. What is the remainder when n is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/143 (b) 0.04 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**3 + 3*j**3 + 2*j**2 - 3*j**2 + 3939*j - 3831*j as g*j**3 + r + o*j + x*j**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-222 + 218 - (-2 + -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 0*x - 1 - 1\/24*x**6 + 0*x**5 + 0*x**3 - 1\/8*x**2 + 1\/8*x**4. Factor h(f).\nAnswer: -f*(f - 1)**2*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -18*v**4\/7 - 17158*v**3\/7 - 583166*v**2 + 3189222*v\/7 + 910116\/7 = 0.\nAnswer: -477, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 23*d - 79. Let r be n(-23). What are the prime factors of 1\/((-1 - r\/604)\/1)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190178*c = -190089*c + 1869 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1407709428250.3 - -4.\nAnswer: 1407709428254.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 1489 + 1189 = 0 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-87)\/(-27) + 506\/(-9). Let f = q - -157. List the prime factors of f.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 3, -0.027?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1754, 2037, 2420, 2897, 3462?\nAnswer: 4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*3)\/(sqrt(40)*1).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 325, 1, -1118, -0.7?\nAnswer: -1118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -154196*o + 154103*o + 3069 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**5 - 7611522*i**4 - i**3 - 1756275*i - 1 wrt i.\nAnswer: 40*i**3 - 91338264*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54004 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: Is -269 less than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + z**2 - 8*z + 15*z - 7*z.\nAnswer: z**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128914 is divided by 520?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 4*o + 2. Let p(i) = 748*i + 731. Let u be p(-1). Let z(h) = 6*h**2 - 11*h - 5. Give u*c(m) - 6*z(m).\nAnswer: -2*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 2. Let d be l(3). Let j(k) = 5*k. What is the units digit of j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3610707691 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s\/(s*(((s\/(s\/((s*s\/s**(2\/45))\/s)))\/s)\/s)\/s*s))\/s)\/s)\/s)\/s**(1\/9))\/((s\/(s**(2\/17)\/s))\/s**(6\/11)) assuming s is positive.\nAnswer: s**(-9547\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1856754 and 1044?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17978 and 1125054251?\nAnswer: 8989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/4, 5, 0.0423, -0.5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 = -3*g, -3*s - 3*g = 0. Suppose s*d = 71 + 44. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 143884578*a - 1725230982186507.\nAnswer: -3*(a - 23980763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 2.3. Which is the closest to o? (a) 1\/5 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*j = -46, -v = -j - 7 - 7. Calculate the lowest common multiple of 20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6655 divided by -1331?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -509 - 409 + 2*u - 632 + 4*u - 538 - 55*u**2 wrt u?\nAnswer: -110*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (920\/14 - -3) + -3. Let m = -66 + h. Let j = 0 - 0. What is the closest to j in -3\/2, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 284671344 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h**2 - 3*h**2 - h**2)*(-39*h - 66 + 66) + h**3 - 4*h**3 + 4*h**3 in the form p*h**2 + k*h**3 + m*h + r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 528\/(-112) + (-2)\/7. Suppose c - 2*f - 8 = 0, 0 = -4*c - f - 4 - 9. Let l be -2 + 1 + (c - -3). Put l, 4, s in ascending order.\nAnswer: s, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224340415 (base 6) to base 9.\nAnswer: -7701282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2471, -4938, -7405, -9872?\n\"Answer: -2467*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 491 - 5*b - 991 + 498.\nAnswer: -11*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1141*q + 1173. What is p(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -7*z + 3 - 1\/2*z**2. Let j be h(-5). Which is bigger: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208862, 417735, 626608, 835481, 1044354?\nAnswer: 1253227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*r**4*t**2 - 3*r**4*t + 1060*r**2*t**2 - 8*r**2*t + 2*r*t**2 wrt r?\nAnswer: -4176*r*t**2 - 72*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.02 - -19. Let d = -0.02 - i. Let g = -4.3 + 4.5. Which is the nearest to 1? (a) g (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 33391451.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -31*d - 960. Let h be 24\/d + (-5409)\/(-24). What is the highest common divisor of h and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*5\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = 3*m. Let k be (1\/m)\/1*-4. What is the derivative of -k - 1 + 5 + y - 3 wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*12\/((-432)\/60).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1\/22, 1\/6, -0.2 in decreasing order.\nAnswer: 17, 1\/6, -1\/22, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07461116 and 0.8.\nAnswer: 0.72538884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - m**2 + 9*m. Let z(k) = k**3 - 4*k**2 + 24*k - 61. Let l be z(3). Let p(d) = -2*d - 353*d**2 + 354*d**l + d. Give -g(o) - p(o).\nAnswer: -2*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*q - 343*p**3 - 17*p**2*q + p**2 - q wrt p?\nAnswer: -12*q - 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 7*b**2 + 4*b + 3. Let v be z(-5). Let d = 36 - v. Solve -7\/3*n**3 + d*n**2 - 5\/3*n**4 + 4\/3*n + n**5 - 4\/3 = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*a**2 + 30*a**3 + 13*a**2 - 51*a**3 wrt a.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6880 is divided by 753?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -642*t + 2. Let i(w) = -4*w. Give -2*i(d) - k(d).\nAnswer: 650*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 2*j**2 + 12*j + 4. Determine w(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33\/2 + -17. Which is the nearest to 0.1? (a) -3 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x + 62*x = 139*x - 42*x + 1620 for x.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*a**3*j + 17496*a**3 + 6*a*j**2 + 3*a*j wrt j.\nAnswer: 28*a**3 + 12*a*j + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*z + 13*z. Let o = z - -122. List the prime factors of o.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27372 and 696?\nAnswer: 1587576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 817.4737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7653510239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + a + 6. Let f(l) be the first derivative of -l**4 + l**2 + 13*l + 1. Let k be ((-26)\/6)\/(12\/396*11). Let q = 5 + 1. Give k*t(n) + q*f(n).\nAnswer: 2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36876*m**3 + 14*m*p - 1026084*p wrt m?\nAnswer: 110628*m**2 + 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**6\/15 + 3*z**5\/20 + 31*z**3\/2 - 518*z**2 - 1343*z. What is the derivative of r(f) wrt f?\nAnswer: 8*f**3 + 9*f**2 + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1430*n**2 - 1. Is f(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8e2d (base 15) to base 9.\nAnswer: -45367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -668 by 4.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*l + 1 + 3, z + 12 = -4*l. Let q be (-18)\/45 + z\/10. Let d(i) = -i**2 - i - 7. Determine d(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7229396 divided by 4\nAnswer: -1807349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -2\/5 (c) -26\/3 (d) -2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*3\/6 + (-2 - -23). What is the highest common factor of 30 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*s + s. Calculate the least common multiple of 8 and (s\/10)\/(8\/(-60)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(7)) - (4 + 4 + sqrt(7)))**2 - (3*(sqrt(567))**2 - (-2 + sqrt(252))).\nAnswer: -1554 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/24 - ((-133)\/21 + 7). Let h be (9\/(-66))\/(3\/(-8)). Is h >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32565 and 501?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 302390205.9 to the nearest 10000.\nAnswer: 302390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.2 (b) -0.3 (c) -1\/2 (d) -7.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1947, 1423\/3, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 5d?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 79 - 24. Suppose 311*n - 307*n = -32. Let x = n - j. Solve s - x*s = -8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 2*g)*(3 - 2 - 2)*(-31*g**2 - g**4 + 31*g**2) + 0*g**3 + g**3 - 3*g**5 + 5*g**5.\nAnswer: g**5 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 0.19. Let q = y - 0.05. What is the nearest to q in 3, 0.2, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*n = n + 68, 3*r - 4*n = 40. Solve r = 2*o + 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27638054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {g: 2, i: 2, o: 3, a: 6}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 1. Let d be u(0). Let w = 29.5 + -30. Suppose 3*t + 0*t + 9 = 0. Which is the nearest to d? (a) 0 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 + 0*l**2 + l - 4*l**2)*(182 + 137 - 426) in the form s*l**2 + j + z*l and give s.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c - 142fd?\nAnswer: -14359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdxxxxxxxdxdxxxxxd. Give prob of sequence ddx.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531782 is divided by 749.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18912151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2437 divided by -7.\nAnswer: -2437\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -1 in decreasing order.\nAnswer: 6, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 77*d**4 + 6*d**3 - 4*d - 5. Let f(x) = -155*x**4 - 13*x**3 + 9*x + 9. Let s(v) = 6*f(v) + 13*u(v). Find the second derivative of s(k) wrt k.\nAnswer: 852*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.4 + -16. Let s = -5421262 - -5421264.399977. Let d = s - o. What is d rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102012212 (base 3) to base 7.\nAnswer: -32561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.17, -358, -0.2 in descending order.\nAnswer: -0.17, -0.2, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 216211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - z**4 + (-29 - 10 - 13)*(3*z**4 - 5*z**2 + 5*z**2) to the form l*z**4 + o*z**3 + w*z**2 + t*z + a and give l.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 823.997642 + -824. Round g to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5513407 - 23?\nAnswer: -5513432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/5 - 42*y**4\/5 + 518*y**3\/5 - 1636*y**2\/5 + 1881*y\/5 - 722\/5 = 0 for y.\nAnswer: 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2. Let s(k) = -k**2 - 1. Let r(z) = -z**2 - 6*z**2 + 5 + 16*z**2. Let a(h) = -3*r(h) - 15*s(h). Give y(a(o)).\nAnswer: 144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -36. Suppose 2*j = 99 + z. What is the remainder when j is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 22*v + 3. Let o be k(0). Solve 69 = o*j + 60 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + 1224\/(-34) - (-1 + 16\/(-3))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/937410 and 67\/1124892?\nAnswer: 5624460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5756786201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1797.85 * 0.07\nAnswer: 125.8495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 14*c + 18. Let x be k(-13). Solve 2*q + 4*t - 12 = 0, 0*q + 2 = -4*q + x*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132022030331302 - 10?\nAnswer: 132022030331232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4382775 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109156535 and 1095?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*q - 163*q + 477*q - 154*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -398*i**2 + 933*i**2 - 1143*i**2 in the form m + v*i**2 + u*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqwggsshh. What is prob of sequence qgh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/(-21) - 156\/144)*16\/(-90). Determine u, given that 0*u + 4\/3*u**2 + 0 + w*u**3 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636607.\nAnswer: 41, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 0.2, 37, -11, -1.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 - 2) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2102, 8023, 17898, 31733, 49534, 71307, 97058?\n\"Answer: f**3 + 1971*f**2 + f + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -273.44702 times -1?\nAnswer: 273.44702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - 18*t**2 + 13*t**2 - 3 + 4*t. Suppose -4*k + 29 = 1. Let f(x) = -11*x**2 - 5*x - 7. Calculate k*v(j) - 3*f(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2315288970.\nAnswer: 2, 3, 5, 1283, 20051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7*k)**(4\/27))**(-6\/5) assuming k is positive.\nAnswer: k**(-64\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69784819*b**2*z - 2*b*z - 6372580*z wrt b.\nAnswer: 139569638*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 157*s + 48. Let j be v(5). Which is smaller: j or 832?\nAnswer: 832","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 3*a - 4*a)*(2*a**3 + 20*a**2 - 4 + 0 - 25*a**2) to the form m*a**2 + j + f*a + s*a**3 + r*a**4 and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22214368 or -22214366?\nAnswer: -22214368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1057\/3 - -5438\/15. Let j(a) = -35*a - 4. Let w be j(-9). Let p = w + -2535\/8. What is the common denominator of h and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 82*i**2 - 80*i + 5. Let v be c(-40). Put 6, v, 0, -2 in ascending order.\nAnswer: -2, 0, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 4. Let y be m(4). Let a(u) = 709 + 3*u - 357 - 372. Let t be a(y). Solve -o + d + t*d = 18, -2*d + 9 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:35 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4302 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + 4*s**3 - 4*s**3 + (-28*s**3 + 44*s**2 - 44*s**2)*(-2*s + s - s) + 1857 - 1857 + 115*s**4 as v + u*s**4 + j*s**2 + d*s + k*s**3 and give u.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 + 2*k + 1. Let v be o(0). Suppose 10*s = 4*s + 84. Let a(n) = n**2 - 4*n + 3. Let j be a(4). Solve j*h = -s - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 546, 1, 4 in ascending order.\nAnswer: 1, 4, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 357*s**3\/2 - 2*s**2 + 936*s. What is the first derivative of o(f) wrt f?\nAnswer: 1071","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, i: 7}. What is prob of picking 4 i?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((4\/(-2))\/(-6))\/(60\/(-144)). Which is the third biggest value? (a) 7 (b) 1 (c) f (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 4*y = -26 + 104, 0 = 5*o - y + 48 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k, 0 = n + 3*k - 3 - 2. Suppose -n*g + g + 12 = 0. Solve 4*v - 3 = g*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/8))\/y)\/y**3*y**(-2)*y\/(y\/(y*(y\/y**(-5\/4))\/y))*(y*(((y**(4\/7)\/y)\/y)\/y)\/y*y**(-3\/5))\/(y**(-1\/2)*y*y**(-1)) assuming y is positive.\nAnswer: y**(-1513\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*g + (0*g - 3*g + g)*(15 - 8 + 1).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/51*(18\/(-12))\/((-1)\/12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -211 divided by -74\nAnswer: 211\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -1 - 0 - (77 + -240 + 176).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/(-1674)*(19\/(-76) - 74\/(-168))*7.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -7. Put 2\/5, t, 2, 0.03 in increasing order.\nAnswer: 0.03, 2\/5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1340242 + 11440?\nAnswer: 1402232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-20)\/g*g*(g**11\/g)\/g assuming g is positive.\nAnswer: g**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 21101313?\nAnswer: 21101322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 15*i + 4. Let x be z(-17). Let w(g) = 3*g**2 + 63*g + 17. What are the prime factors of w(x)?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 943779 and 735?\nAnswer: 231225855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*t - 5*t - 2*t)*(1 - 1 + 2) - 3*t - 2 + 2)*(17*t - 5*t + 10*t) in the form z*t**2 + q + n*t and give z.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-56)\/120)\/1)\/(2\/(-6))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, -30, -115, -252, -459?\n\"Answer: -3*c**3 + c**2 - 33*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 829.411 + -830. Let a = 8.589 + u. What is the second biggest value in a, 3, -8\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 69, 128, 193, 258, 317?\n\"Answer: -t**3 + 12*t**2 + 18*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55317370 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: In base 16, what is 35d - -2?\nAnswer: 35f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54832 - 55139.31. Round m to zero decimal places.\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35198*a = 35196*a - 68 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 - 1429 + 1429.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.457 less than -2?\nAnswer: -177.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1605*f + 2094*f + 1 - 1.\nAnswer: 489*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1524257?\nAnswer: -1\/1524257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1843588 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64\/23 + 1121\/345. Let r(m) be the second derivative of 0*m**5 + 0*m**3 + 0 - w*m**6 + m + 0*m**4 - 10*m**2. Differentiate r(a) with respect to a.\nAnswer: -56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*q + 10438 = -2078 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/((15\/2)\/(-5)). Suppose -t*y + 120 = -11*y. Let d = y + 63. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**9\/756 - w**7\/35 + 4*w**6\/45 - w**5\/10 - 11*w**3\/2 - 39*w**2. Let t(i) be the first derivative of n(i). Factor t(j).\nAnswer: 4*j*(j - 1)**3*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 0. Let s be (24\/x)\/(3\/(-10)). Solve -3*b = -b - s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + s**2. Let a(w) = 5*w**3 + 7*w**2 + 2*w. Calculate a(x) - 2*h(x).\nAnswer: 3*x**3 + 5*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 5068032*t**2 - 1605309272064*t.\nAnswer: -4*t*(t + 633504)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -42*y + 2. Let l(x) = 29*x - 1. Determine -7*l(k) - 5*v(k).\nAnswer: 7*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 35. Determine f(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117790058 plus 0.1?\nAnswer: 117790058.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 8*s**2 + 3*s + 3. Let w be o(-6). Let p = 232 + w. Let d(k) = 18*k**2 - 19*k - 18. Calculate the remainder when p is divided by d(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95011, 190123, 285251, 380395?\nAnswer: 475555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b771b (base 13) in base 2?\nAnswer: -1010000110000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*i - 47*i = 0. Let y be 1\/18*(i\/(-1) - -4). Factor -2\/9*r**4 - 2\/9*r + 2\/9*r**3 + y*r**2 + 0.\nAnswer: -2*r*(r - 1)**2*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -1717*z**4\/2 - z**3 - 3*z**2\/2 - z - 44. Is v(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c - 4*j = 63*c - 17, -c + 3*j = 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 64*m - 72 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*6*(2 + sqrt(11)) + ((3 + sqrt(1100) + sqrt(1100))*1)**2).\nAnswer: -26598 - 792*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + i - 4. Determine z(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p + 20. Let g(a) = a. Let d(u) = -6*g(u) + l(u). Let w be d(-10). Solve 0 = -w*o - 5*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 26 = -4*b. Let y = 14 + b. Solve 4*v + 3*f - 17 = 8*v, -y = v - 4*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 (base 11) in base 3?\nAnswer: -1002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus 6168.2991?\nAnswer: -6167.6991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -234*b**2 - 2*b + 1 + 6*b - b**3 + 232*b**2 - 3*b. Let m = -6 + 3. Let r be s(m). Let a(z) = -z**2 + 5*z + 10. What is a(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(180)\/sqrt(9)))**2*2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -174a5d + -3?\nAnswer: -174a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2 + 58*f + 18. Let x be m(-7). Let d(a) be the first derivative of 2*a**x + 0*a - 2\/3*a**6 + 0*a**5 + 0*a**3 + 8 - 2*a**2. Factor d(u).\nAnswer: -4*u*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 266562095 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8630.475 weeks in days?\nAnswer: 60413.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 - ((1 - (-1 - 4)) + (207 - 392 - -182))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 5. Let w be i(6). Let b = w + -13. Suppose l + 6 - 1 = b. What is the smallest value in 2\/9, l, -4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = 4*f + 3*h, -3*h + 713 = 5*f + 271. Let g = f - 77. What is the units digit of g\/16*32\/6 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/44 and 59\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = i - 2, -2*v = i + 2*i + 11. Let s(z) = -z + 1. Let j be s(v). Suppose 5*w = 28 + j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1216.4*-5825.\nAnswer: 7085530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310709107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -4. Suppose 2*a + 5 + 7 = d*g, 4*a = -g + 20. Let u(v) = 2*v**2 - 63*v - 18. Calculate the smallest common multiple of u(32) and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2a8 (base 16) to base 13\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 13*g - 11*g - 9*g + 36*g - 10 to i + w*g**2 + o*g**3 + j*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 1. Let a(x) = -x + 2. Let p be a(5). What is the least common multiple of m(p) and (0 - 5)*(-3 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 223 (c) -4\/9215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353.691 years to months.\nAnswer: 4244.292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8732 and 32.\nAnswer: 69856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 15*t**2 + 94*t + 935. Determine d(-17).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -98 + 33. Let v be -1 + 0 + 4 + r\/5. Let l(o) = -2*o + 2. Calculate l(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 4\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -412457 (base 9) to base 13\nAnswer: -87439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3136\/3*l + 56\/3*l**2 + 216 + 1\/9*l**3. Factor y(i).\nAnswer: (i + 56)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 164368, 330787, 499256, 669775, 842344, 1016963?\n\"Answer: 1025*t**2 + 163344*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 4218?\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, 4\/439, 1\/12, 51?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3570*g**2 - 21424*g + 24 = 0.\nAnswer: 2\/1785, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550958374 is divided by 2507?\nAnswer: 2505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:13 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, 1\/5, 0.149841.\nAnswer: -22, -5, 0.149841, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*q + 44*q = a - 193, -a + 191 = -q. What is the greatest common divisor of 1056 and a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/22864419 and -40\/80793.\nAnswer: 22864419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(2\/61))\/h)\/h**34)**(-10) assuming h is positive.\nAnswer: h**(20110\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 399, 799, 1199, 1599?\n\"Answer: 400*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 + 5*n + 1. Let d be k(4). Let i(a) = -3*a - 2. Let b be i(d). What is the second derivative of -63*m + b*m - 2*m**2 + 33*m wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 384*k**5 + 19728*k**4 + 52395*k**3\/2 - 10653*k**2 - 53163*k\/2 - 9075 = 0.\nAnswer: -50, -1, -11\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 163. Let s(m) = 2*m**2. Give s(o(g)).\nAnswer: 8*g**4 - 1304*g**2 + 53138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187.84 + 22.74. Let h = z + 165. Are -19.5 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/85))\/(b\/b**(-16\/7)))**(-12\/5) assuming b is positive.\nAnswer: b**(16152\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3744 and 18720?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 538214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 14*p + 10. Let s be v(15). Let g = 0 - s. Solve -g*y - 2*i + 0 = -13, -3*i = 5*y - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anpa when four letters picked without replacement from aannnnnapnpaaannaa?\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 10*f + 8. Let h(m) = m**2 - 5*m + 7. Let d be h(5). Let i be 189\/(-18)*(-15)\/d*6. Let u be (3 - i\/12) + (-3)\/4. Calculate l(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/10)\/(488\/(-183))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/7 + 60*s\/7 - 216\/7.\nAnswer: 4*(s - 3)*(s + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -130.9 and -0.1.\nAnswer: 13.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x + 142. Let l be m(0). Suppose 1 = -d, d + 195 = 4*w - l. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 239 (b) -3\/8 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5775, 7723, 9671?\n\"Answer: 1948*h + 3827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 1400032*d - 1400033*d + 157 = 0, -c - 3*d = -53 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42903)\/(-225))\/21 + -9.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -3)*(4 + 17). Let o be 156\/7*g\/(-6). Suppose -46 = -4*y + 3*b, 2*y - 3*b - b - 18 = 0. Calculate the greatest common factor of o and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14689880*d*w**4 + 25*d*w**3 + 9*d*w + 611*w + 9663 wrt w.\nAnswer: -176278560*d*w**2 + 150*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10598749, 10598793, 10598837, 10598881?\nAnswer: 10598925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*x + v - 10, -4*x + 3*v = -20. Is 7 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 16. Let v be 2\/(-6) + (-14)\/(-6). Find the second derivative of -v*g + g**4 + 6*g**4 - 5*g**b wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 1077*o + 1079*o = 504, 0 = 5*v - 9*o - 315 for v.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*y + 2, -k - 8*y = -3*y + 4. Let f be k\/1*2 + -71. What are the prime factors of 4\/10 - f\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 less than -0.01?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + (23 - 20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11709887 and -32.8937.\nAnswer: -11709919.8937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 + 31*g**2\/4 + 15*g\/2.\nAnswer: g*(g + 1)*(g + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(891) + sqrt(891)*-2 + sqrt(891)*2 + -3))**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 131132003 (base 4) to base 6\nAnswer: 2330455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3616 + -839. What are the prime factors of q?\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.1 + -55.1. Let h = 49 + q. Is h smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3 - (-4 - 8)) + -250 + 255.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2078, -8016, -17904, -31736, -49506, -71208, -96836, -126384?\n\"Answer: o**3 - 1981*o**2 - 2*o - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2079903, 2079447, 2078991, 2078535?\nAnswer: 2078079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 6320 = -37234. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)\/(sqrt(891) - sqrt(891)*-2) + (sqrt(567)\/sqrt(36))\/(sqrt(63)\/(2*sqrt(7))))**2.\nAnswer: 6727\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -13*w. Let h(c) = 7*c. Let y(v) = 7*h(v) + 4*k(v). Let n = -4 + 6. Let u(x) = 0*x**n + x**2 - 3*x**2. What is y(u(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (52\/(-5))\/((-6)\/15). Suppose -i + 66 + w = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 2917*w - 9530*w.\nAnswer: -12447*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 at least -1563\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + b - 2*b**3 + b**3 + 2*b**3 - 9*b**3 to the form m + u*b**2 + o*b + n*b**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 at least as big as -175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009553 to seven dps.\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + t + 1. Let f = 15 + -14. Let i(u) = -2*u**2 + 13*u - 17. Let q(d) = -3*d**2 + 16*d - 19. Let j(g) = -7*i(g) + 6*q(g). Give f*j(o) - 5*a(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1650, 12612, 42170, 99618, 194250?\nAnswer: 335360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-301177)\/7 - (-16)\/56. Let s be ((-30)\/g)\/(2\/(-20)). Let t = s + 71041\/68840. What is the common denominator of -59\/4 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + m - 3)*(-2*m + m**2 + 2*m) - 4*m**3 + 0*m + 0*m)*(-m + 4*m - 4*m).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 2*j**3 + 10*j**2 - 67*j + 1. Calculate the remainder when 34 is divided by a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-z**2 + z**4 + z**2) + (-275 + 275 + 142*z)*(-z + 0*z + 0*z)*(-2*z + 3*z + 0*z)*(-1 + 1 + z)*(-1 + 2 - 3).\nAnswer: 286*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*z - 32 = 0, -4*z = -z - 6. Let h = c - 4. Suppose 18 = h*d + 3*w, -4*d + 7*w + 38 = 4*w. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 326128 and 352?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 6\/11, -0.8, -0.4, -7.\nAnswer: -7, -0.8, -0.4, 0.03, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.026 (b) -0.1 (c) -0.5 (d) -1.3 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2. Let i(t) = -30162617*t**2. What is r(i(a))?\nAnswer: -1819566928577378*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*b + 1 = 0, b - 1 = v - b. Let d(k) = k**2 + 4*k. Let w be d(-5). Suppose 0*m + 1 = m + h, -v*h - w = m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1946 (base 12) to base 11.\nAnswer: -148759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 56*s**3 + s - 2. Let f be c(1). Suppose 0 = 4*x - f - 9. Solve 0 = 5*j - 3*l - 4, 2*l - 6*l = 4*j - x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(931) + -2 - sqrt(931))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u - 0. List the prime factors of 118\/10 + u\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -121*t**2. Let g(k) = 26*k. Calculate g(w(z)).\nAnswer: -3146*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614404507?\nAnswer: 14461, 42487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970744793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20*v + 33. Let u(s) = 37*s + 64. Let d(z) = -3*u(z) + 5*w(z). Let y(h) = -4*h - 9. Give 3*d(g) - 8*y(g).\nAnswer: -g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - t**2 + 90*t - 3. Let y be c(-7). What is l in -2\/11*l**3 + 0 - 2\/11*l**2 + 2\/11*l + 2\/11*l**y = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7720268 and -12.\nAnswer: -7720280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*y**2 - 348087*y - 4869102.\nAnswer: -3*(y + 14)*(7*y + 115931)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 16*h + 323. Let j be (2*2)\/(4\/(-66)). Let i = h - j. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169406 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111 - -22002?\nAnswer: 12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7146\/5 (b) 2\/3 (c) 26.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 2828765?\nAnswer: -8486295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51982, -53599, -55216, -56833, -58450, -60067?\n\"Answer: -1617*i - 50365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103339159 and 18788938?\nAnswer: 206678318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (194*n**3 + 59*n**3 - 40*n**3 + (2*n - 1 + 1)*(2 - 2 - n**2) - 1 + n**3 + 1)*(-3 - 5 + 10) as s*n**3 + a + t*n + j*n**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.3000405 + -13.3. Round g to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -o + 6, 20*o - 6*n + 7 = 21*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m)**(5\/7)*m**(-3)*m**(-2\/3) assuming m is positive.\nAnswer: m**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - d - d)*(1947*d**2 + 1874*d**2 - 4146*d**2) + (-6 + 3 + 1)*(0*d**3 - 3*d**3 + 5*d**3) as v*d**3 + m*d + i + p*d**2 and give v.\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -0*a - 27. Suppose -9 = a*r, -3*b = -4*r + 7*r - 27. Let o = 58 - b. What is the remainder when o is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 28. Let t be -9 - 1 - (4 + -3). Let p be b(t). Suppose n - 233 = -p*y, -n - 4*n + 1252 = -4*y. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 11120201200122?\nAnswer: -11120201200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 5*q**2 - 3*q + 3. Suppose 0*m - 70 = -14*m. What is r(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*a = 38130 - 12566 + 38594. Solve a*v - 286*v = 5*d, 4*v + 14 = 2*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) - 36\/(-8). Suppose 3*f + 5*r = 9 + 12, 0 = f + u*r - 17. Let g(v) = v**3 - 5*v**2 + 6. Let z be g(5). Put f, z, 0 in descending order.\nAnswer: z, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20204 * 1.1\nAnswer: -22224.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*y + 32 - 124, -c + y = -34. Calculate the highest common factor of c and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 3840 = 12*y - 19*y. Which is smaller: y or 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1593152 and 1882816?\nAnswer: 20710976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-100)*-6 - 74\/(-10). Suppose -4*m - 608 = -u*m. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11682265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30144 + 57095. Does 110 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/931 - (-2220)\/45864.\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -691.4635036 + 694.3635. Let d = -2.9 + i. Round d to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((96\/(-90))\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*6\/(-12) + 1*87. Let t = -79 + a. Suppose 5*j - 2 = 8. Do t and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 274 - 268 - (-15 + -4 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140.9782 + -140.98779799. Let a = 1.1 + -1.0904. Let z = a + j. What is z rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2. Let k(o) = 0 + 0 - 2088*o**2 + 2086*o**2. Calculate k(f(t)).\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 7\/4 (c) 0.3 (d) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -234628*f**4 + 2*f - 676436 with respect to f.\nAnswer: -938512*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 - 73*j**3 - 32*j wrt j?\nAnswer: -24*j**2 - 438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32062 is divided by 32060.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 14*i**2 - 447*i - 30. Let f be z(32). Solve -f*d + 26 = 4*n, 5*n + 12 = 2*d + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z = -66*z + 255. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 4*x - 24, -4*r - 24 = 2*x. Let l be r\/(-3 - -1) + -4. Let y be (3\/(-9))\/(l\/(-3)). Which is bigger: y or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - sqrt(8)\/sqrt(2)*3)\/sqrt(2) + 0.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c - 10. Suppose 0 = 2*k + 80 - 68. List the prime factors of a(k).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.5 (c) 2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/15*15\/6. Suppose l = -2*l + c. Solve -l*f + 18 = 3*a, 4*a = -2*f + 6*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (20 + 111 + 12) - -19.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1612, -1633, -1654, -1675, -1696?\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (80*39\/(-6) + -4). Let d = z + -449. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -129. Let b = v - 38. Let x(y) = -y**2 + y + 1. Let c be x(2). Are c and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.07 or -0.048?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.196.\nAnswer: -0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -52.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 + 29 = 0. Let q = y + -4. Factor 0 - 3\/7*w**2 - 3\/7*w**q + 6\/7*w**3 + 0*w.\nAnswer: -3*w**2*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17208 + 21526. Is 4320 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0, 1\/8, 3, -74, 165?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45646\/17 + -2686. Is s greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*x - 105 + 15 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2708c (base 14) to base 3.\nAnswer: 11212220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1)\/z))**(5\/3)*(z**(-1))**(3\/11) assuming z is positive.\nAnswer: z**(52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*d + 13*d - 7*d + (0 - 4 + 5)*(1393 - 30*d - 1393).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 1051. Let o = c + 930. Which is greater: o or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 6*c**2 - 8*c - 5. Let p = 16 + -7. What is the smallest common multiple of p and t(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbchhl. What is prob of sequence lhb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01230683002 to five decimal places.\nAnswer: 0.01231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -122496?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 617664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 54944500 to the nearest 100000.\nAnswer: 54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 96 = 5*j + 24, 2*f - j = 51. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q**(-1\/3))\/q*q)\/q)**(1\/5))**(-31)*(q\/(q\/q**(-1\/6)))\/(q**0*q)*q*q**(-2\/3)*q**3 assuming q is positive.\nAnswer: q**(-59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 837*k**3 - 885*k**3 + 0)*(1 + 1 + 0).\nAnswer: -96*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-22) + (-49612)\/117436?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 34288*x**3 - 822144*x**2 + 6575104*x - 17530880.\nAnswer: -2*(x - 17120)*(x - 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268) + sqrt(2268)*-2 + (sqrt(9072) - 1*sqrt(9072)) + sqrt(9072))*2)\/(-3*(sqrt(729) - (sqrt(729)*3 - sqrt(729)))*-6).\nAnswer: -2*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.321163 minus 0.086?\nAnswer: -0.407163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -215973939\nAnswer: -647921817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y + 1350. Suppose 5*h - 65 = y. Suppose r - 2*o + 22 = h, o - 3 = 0. What is the remainder when 99 is divided by r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/21*(-45)\/(-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 56.80663km?\nAnswer: 56806.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 13) to base 9.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14*n - 28. Let m be x(9). Let t be (24\/(-14))\/(-3 - (-290)\/m). Suppose 6*f - 13*f + t = 0. Solve r + 2 = f*q - 4*q, -22 = 2*q + 5*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23210 + 2*r + 19*r - 20*r.\nAnswer: r + 23210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2089)\/(-12) + (-16)\/4. Let i = 170 - y. Let j = -1 - 0. What is the third smallest value in j, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-4) - -3)\/1. Put 2, 1, q in increasing order.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 2*p + 451. Let g(q) = -q**2 + 10*q. Let y be g(5). Let w = y + -14. Calculate the remainder when p is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -15. Let x(r) = 9729*r - 58. Let y be x(2). Suppose 10*s - k*s + y = 0. What is s rounded to the nearest 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(75\/40)*9\/(-360).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = k. Suppose 17*g - 16*g = -j, 2*g = 2*j + 4. Let t = j - k. Solve -x = 4, 4*c + x - t*x = 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/3 - 28327492*f**2\/3 - 33435292901248*f - 66870548032512 = 0. Calculate f.\nAnswer: -7081872, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -222020 (base 5) in base 4?\nAnswer: -1321100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + cf?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -205*s**2\/2 - s + 14. Is t(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 387619.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 519 + -519.25. Let p be 95\/140 + (-2)\/8. Which is the second smallest value? (a) x (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 16*v**2 + 20*v + 19. Let w = 5 - -12. Let i be p(w). What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*j**3*p + 361*j**3 + 21*j**2*p - j**2 - 94*j*p - 550*j - 6*p + 1 wrt j?\nAnswer: 1392*j*p + 2166*j + 42*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7438106 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 353\/4 + -88. What is the nearest to o in -1\/3, 1, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 4, n: 10, m: 5}. What is prob of picking 1 g and 1 m?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4, 93?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95319 meters in kilometers?\nAnswer: 0.00095319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 + 222. Suppose -l = l + 2*i - g, 0 = l + 3*i - 46. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 290 + -232. Suppose -p = -3*x + 2*o, o = 6*o + 25. Solve 0 = 5*j - 6*j - b - 3, -x = 4*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 6*m + 546 = 0. Solve -44 = -5*v - m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-3 + 4\/1). Solve -4*v + 6 = -3*r, -3*v + d*r + 1 = -4*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-6 + (2 - -11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 - 21*h\/5 + 18\/5.\nAnswer: 3*(h - 2)*(h - 1)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and -0.17.\nAnswer: 5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.2, -1\/9, -698, -1 in ascending order.\nAnswer: -698, -1, -0.2, -1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 658*t**4 - 93?\nAnswer: 2632*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*m**4 - 2*m**3 + 0 + 2*m**2 - 2\/3*m.\nAnswer: 2*m*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + -2.92. Let v = g - -3.00002. Round v to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1\/2*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13242 - 142?\nAnswer: 13100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6*p - 3. Let i(d) be the second derivative of -d**3 + 4*d. What is i(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -16750.\nAnswer: -33500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -43) + -2 + (-2 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*s, -3*d = 4*s - 0*s + 2. Let y be d\/2*762\/9. Let i = y + 84. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 11753\/21)*(-36)\/(-20). Suppose m - 3*g = l, -17*g + 20*g = -6. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 60*w - 2203. Let r(l) = 10*l**2 - 2*l. Determine y(r(a)).\nAnswer: 600*a**2 - 120*a - 2203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 280*i**2 + 1398*i - 10 = 0.\nAnswer: -5, 1\/140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 28 = -2*f. Let h = 17 + 53. Calculate the highest common divisor of h and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -12, -32, 0, 31 in decreasing order.\nAnswer: 31, 0, -2, -4, -12, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 4*m - m - m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 17*r + 227 = 14*s + 14*r, -5*r + 9 - 4 = 0 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1538 from -2.\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 15, 0 in descending order.\nAnswer: 15, 3, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10384)\/15576*(-603)\/(-6)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*h**2 - 86*h**2 + 30*h**2 + 300*h + 40*h**2.\nAnswer: 3*h*(h + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. Let i = -3 + v. What is the third biggest value in 1\/5, 9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262283194835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 18195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 13*z + 14. Let t be v(13). Solve 0*r - 4*r - 32 = 4*j, -j = 3*r + t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 16. Let c(q) = -4*q - 31. Let m(v) = -6*c(v) + 11*o(v). Let g(f) = -8*f - 1. Calculate the remainder when g(-6) is divided by m(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*l - 3*l + 2, 2*b + 3*l + 2 = 0. Let c = 1888 - 1891. Put 0.2, 5, c, b in decreasing order.\nAnswer: 5, 0.2, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-4)*(22 + 680\/(-60)). Calculate the highest common factor of 4152 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.073 - 0.169. Let l = 0.004 - k. Put -2, l, -0.147 in ascending order.\nAnswer: -2, -0.147, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, 1 g, and 1 a when four letters picked without replacement from harhuaraghuw?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394439.\nAnswer: 3, 464813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*p**2 + 3*j**3*p*s + 8*j**2*p**2 - 129*j*p*s - 2*j*p - 8*p**2*s wrt j.\nAnswer: 6*j*p**2 + 18*j*p*s + 16*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaansntvavn. Give prob of sequence tavn.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193631917*t - 1193631917*t - 172*t**3.\nAnswer: -172*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 7}. What is prob of picking 2 w?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**6\/120 + y**5\/12 - y**4\/12 + 5*y**3\/6 - 28*y**2. What is d(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78340024 < -78340029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o**3 - 9*o**2 - 10. Let b(z) = -8*z**3 + 8*z**2 + 9. Suppose 3*l - k + 2 - 19 = 0, 2*l - 5*k - 7 = 0. Give l*h(j) + 7*b(j).\nAnswer: -2*j**3 + 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.68819 milligrams?\nAnswer: 0.00000000968819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61126371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 6*i - 8. Let p = -134 + 141. What is the first derivative of 5 - p + 7 + b**i + 13 wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 14 = -4*n + 3, 2*n = 2*o + 4. Solve -5*u - 4 = -o*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60731 or 61175?\nAnswer: 60731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q*q**(-2)*q))*q)**(-11\/5)\/((q**(8\/7)\/q)\/q)**(-10\/9) assuming q is positive.\nAnswer: q**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -9 - (15 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 2 = -33*l. Suppose l = -3*d + 19. What is the highest common divisor of 42 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 15*i**2 - 9*i + 27.\nAnswer: -3*(i - 1)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(sqrt(605)*-1 + 5))**2.\nAnswer: -35640*sqrt(5) + 204120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30794 and 1424?\nAnswer: 246352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149.77 - 151. Let d = 0.23 + o. Let f = d - 1.2. What is f rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 3*b - 3 - 1\/2*b**2. Determine c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/12*(14 - 2). Let t be (2\/3)\/((6\/(-3))\/g). Solve 5*o - t*j + 16 = 0, -2*o - 2 = 3*j - 6*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.3 and 0.68.\nAnswer: -15.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 418009 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14989387*b**3 - 8884682*b.\nAnswer: 89936322*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 487 + 569 = 46*i. Solve 0 = -f - 26 + i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -5 (c) 3 (d) -9.86 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -13*d + 100. Let m be g(7). Let k(f) = -f + m*f - 7*f + 22*f**2. Determine k(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 6*g**2 + 9*g - 17. Let z be y(7). Put 62, z, -1, 4 in increasing order.\nAnswer: z, -1, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203870000 rounded to the nearest one million?\nAnswer: -1204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 0.4 (c) 420\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*p**2 - 2*p - 11 + 43*p**2 + 2*p**4 - 4*p**4 + 3 as t*p**4 + z*p**2 + v*p**3 + l*p + y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431283721 to the power of 1\/2, to the nearest integer?\nAnswer: 66568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 168555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**12\/l*l**(3\/10)*l*l**(-7)*l*l**8*l assuming l is positive.\nAnswer: l**(153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3298*j + 3241*j + 57 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2204199.363 + -91\nAnswer: 2204108.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1289 + 362. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2094343.23 + 4.02.\nAnswer: 2094347.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1598 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240168 + 171840 = 24*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1425065\/67 and -21270 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25566016.\nAnswer: 2, 7, 149, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from fnxso?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 4*p**2 - 41*p - 17. Let w be g(5). Let i be 5 + 8\/(-2) + 1. Solve f + i*o = -2 + 3, w*f - 3*o = -6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (9 - -2) - (-4 + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuaxxxxnfuaxxxunuxx. What is prob of picking 2 n and 1 u?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1634 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6154, -12311, -18468?\n\"Answer: -6157*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1876 or -1875?\nAnswer: -1876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 544 = -526. Suppose -2*i + 8 = 2*i. Suppose 5*p - 7 + i = 0. Put p, y, 4 in ascending order.\nAnswer: p, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u + 14. Let r be y(-5). Suppose 2*f + f - r = 4*v, 2*f - v = 26. Solve -f = -b + 3*a, a = 3*b + 3 - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -7036758212055\nAnswer: 7036758212059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 3, 4, 5, 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((22\/(-11))\/2)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109886 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/8*(410\/70 - 5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 9*c + 70.\nAnswer: -(c - 5)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*q**2 - 1 + 49*q**2 - 1)*(0*q**2 + q**2 + 0*q**2) to the form p*q**4 + c*q + a*q**3 + l + r*q**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) -22 (c) 13 (d) 2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.5 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - r - 1. Let p(j) = j**3 - 6*j**2 - 4*j - 24. Suppose -o + 3*o = 10. Let k(u) = o*y(u) - p(u). Is 12 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 1. Let j be o(-7). Suppose 2*r + j*u + 44 = 2*u, 4*r + 4*u = -68. Let t(y) = -y**2 - 15*y - 9. What are the prime factors of t(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 56 + 19 + 2*t + 19 + 0*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2446, -2442, -2438?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 4*s + 1. Let n(a) = -3*a**2 - 6*a - 6. Let g be n(-1). Let c be o(g). Solve -c*k = -2 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3542864?\nAnswer: 2, 13, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3302772.\nAnswer: 2, 3, 11, 131, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-10)\/8 + 1). Let y be -2 + (0 - 5) + -1. Let b = -6 - y. Solve 3*j - 2*j - b = -2*m, -2*j = -3*m - o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqy. What is prob of picking 2 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-4) + 53 + (-12 - 40)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 6:19 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1290 and 782256?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + b**2 + 2*b**2)*(0 - 4 + 3)*(568 + 343 - 692).\nAnswer: -219*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4664)\/((-8)\/10000 - 0). Round j to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -3 (c) 3 (d) -1 (e) -390\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from aaalqaq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 5 - 36*k - 5 - 38*k - 5.\nAnswer: -79*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 28*w**2 - 34*w. Let l be h(-27). Let i = 257 - l. Calculate the remainder when i is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50311*y**2 - 25776*y?\nAnswer: -100622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-882)*8*3*(-1 + 0). Let h = -84\/5 - -17. What is the second biggest value in h, -3\/5, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9226 is divided by 7376.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 - 9*h**4 + 4*h**4 + 2 + h + 2*h**4 to q*h + m + x*h**4 + r*h**3 + w*h**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1)\/(10*-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 134, 274, 416, 560, 706?\n\"Answer: z**2 + 137*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 5*t + 0 + 5\/3*t**4 - 18*t**2 + 1\/5*t**5 + 2*t**3. Factor i(v).\nAnswer: 4*(v - 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 560275?\nAnswer: 6163025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 - f8491?\nAnswer: -f844e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(12\/(-3)) + 16. Suppose -5*b = 3*a - 62, 4*b + f = -4. Suppose -3*t = -142 - 116. Calculate the remainder when t is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-336))\/((-2)\/(-16)*-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 39936*z - 239616. Calculate p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4\/5 + 36*o**3\/5 + 6*o**2 - 172*o\/5 + 21 = 0.\nAnswer: -35, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-893 - -37)\/(-107) - (-2 - ((-536)\/(-14))\/(-4))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*q**4 + 7*q**2*u**2 + u**2 - 566*u with respect to q.\nAnswer: -212*q**3 + 14*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 151*w**2 - 1367*w + 52. Determine y(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.116 in -0.5, 4, 5\/22, -0.3?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a minute in seconds?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1722148, 3444295, 5166442, 6888589?\n\"Answer: 1722147*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*z = -129*z - 735. Let r = z - 112. Calculate the greatest common factor of 25 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 26, 28, 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -3\/2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 50*l + 562. Give h(59).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6 + 41*t + 39*t - 106*t + 0 + 36*t. Give x(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(sqrt(7) - sqrt(35)\/(sqrt(10)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 237*l - 203*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/19, 2, 0, -3, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from kkzkdlvzkkkkkzzkvdzk.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpp when three letters picked without replacement from {k: 1, b: 1, p: 3, q: 7}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:30 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 676338 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x - 3. Let t(i) = -3*i**3 - 13*i**2 - 5*i + 26. Let j(u) = 4*f(u) + t(u). Give j(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 19*r**4 + 5*r**3 + 13. Let b(d) = -10*d**4 - 3*d**3 - 7. Let o = 15 - 10. Let p(q) = o*b(q) + 3*x(q). Differentiate p(i) wrt i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4033 - 3918. What is the highest common factor of 1035 and k?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n - 4. Find the third derivative of -4*s**2 + 10*s**4 + 2*s**2 + 5*s**n + s**2 wrt s.\nAnswer: 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000)\/sqrt(3))\/(sqrt(50)*5) + 4.\nAnswer: 2*sqrt(5)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 8. Let c be m(-12). Suppose -4*z - 5*v + c = -6, 2 = z + v. Solve 5*k = -z - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + -13 + 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m**2 - 2*m + 1. Let q be r(2). Let f = q - 27. What is the remainder when 53 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3112 (base 5) to base 9.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/2))**(-44)\/(s**(-1))**(-34))\/((s**5*s)\/(s\/s**(-2\/3)))**(2\/63) assuming s is positive.\nAnswer: s**(-10610\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359755 is divided by 576?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 3:35 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-832)\/(-15) + -9 + 598\/65. Is 0.2 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*(b\/(b**3*b))\/b)**(35\/6) assuming b is positive.\nAnswer: b**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Suppose -2*i + 32 = 5*m, -2*i + 0*i + 5*m + 12 = w. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 2.691.\nAnswer: 0.5382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 1171 - 1168 + 2339.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:59 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 1. Let r(s) = -s**2 - 5*s - 4. Let p be r(-2). Let b(w) = w**3 + 4*w**3 + 2 + p. Give b(y) + 6*q(y).\nAnswer: -y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -988.1 + 1000.1. Which is the nearest to u? (a) -2\/17 (b) -0.28 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Suppose d = 4*a - w + 4, 2*a = 3*d - 12. Find the second derivative of -2*v**2 + v + 2*v**2 + a*v + 2*v**2 wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zooozozozozo. Give prob of sequence zzoz.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 (base 14) in base 3?\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*j + 346 - 2842. What is the remainder when j is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 15*n + 31208 = 4*v, 5*v - 4*n - 39015 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)\/sqrt(5))\/sqrt(2) + sqrt(17) - sqrt(187)\/sqrt(44))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/28)\/(80\/28 - 3). Which is the nearest to -1\/14? (a) 5\/4 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1. Let h(a) = 2*a**2 + 2*a. Let n(l) = l**3 + 2*l**2 - l - 2. Let b(k) = -h(k) + n(k). What is b(u) + 2*z(u)?\nAnswer: u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16393 minus -0.4?\nAnswer: -16392.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 2*h + 10*h**2 + 42 - 2\/3*h**3 + 97\/4*h**4. Find the second derivative of i(y) wrt y.\nAnswer: 582*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (0 + (1*sqrt(3200)*1 - sqrt(3200)*-2*-4))**2.\nAnswer: 156804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/12 + x**3\/2 + x**2 + 27*x. Does 21 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6302*r + 246. Is 29 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1062522226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1704, 3355, 4958, 6507, 7996?\n\"Answer: -l**3 - 18*l**2 + 1712*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/327*(-584)\/16644?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13484, 0.5, -3, -1, 0.1, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - n**2 - n. Let r(l) = 427*l**3 + 183*l**2 + 183*l. Determine -366*j(g) - 2*r(g).\nAnswer: -122*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4251 (b) -725.7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27402095023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 19.4. Let f = 2 + p. Let k = -1425.6 - -1426. Put -1\/2, f, k, 5 in descending order.\nAnswer: 5, k, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -879 + 1764. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 - 21*p**3 + 11*p**3 + (-2 + 2 + 11*p**2)*(0*p + 0*p + p) + 9*p**2 + 116*p - 117*p + p**2 - 2 - p**3.\nAnswer: -4*p**3 + 10*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 186534432 divided by -84\nAnswer: -2220648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 5*y + 4*y)*(2*y**2 + 2 - 2) + y - y - 2*y**3 + (y - y + y)*(0 - y**2 + 0).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 6 = 7*m. Let p be (-1 + 2)*(-1 - 0). Sort p, -2, m in decreasing order.\nAnswer: m, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.10779 and -0.044?\nAnswer: -0.97274276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66273*n**5 + 11*n**3 - 2*n**2 - 61198*n - 24 wrt n.\nAnswer: 3976380*n**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 79000*k**2 + 3*k + 3. Let o(f) = f - 11. Let j be o(10). Let x be q(j). Round x to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 129? (a) -3\/4 (b) 5 (c) 4 (d) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*m*n**2 + 57*f*m*n - 3*f*m + 1082*f*n**4 + m*n**5 wrt n.\nAnswer: 25968*f*n + 60*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190523 is divided by 62701.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88029?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/80)\/((-12)\/(-420)*21).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.2. Let f = -1 - p. Let a = 0.999997 + f. Round a to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1333*k - 2662. Let h be v(2). Factor g + 2\/7 + 5\/7*g**3 + 9\/7*g**2 + 1\/7*g**h.\nAnswer: (g + 1)**3*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -186, 5.8 in descending order.\nAnswer: 5.8, 3, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/9 + (-168)\/(-27) + -3. Solve -o + 13 = -p*o + 5*k, -k = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -10*s**2 - 7*s + 1. Let p(g) = g**2 + g. Let c(a) = -h(a) - 5*p(a). Let n be c(2). Suppose -2*d + 3*d - n = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*(k*k**(-2\/7))\/k*k)\/k))**20\/(k\/k**1)**6*((k**(-1\/4))**(-4\/3))**(1\/4) assuming k is positive.\nAnswer: k**(487\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -61 - 121. Let k = p + 23. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47259207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11031 + 39850. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 - 3*l - 4. Calculate the least common multiple of d(-2) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 57\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4155607\/1578090 + 1\/52603. Let v = -226\/55 + 76\/11. Let y = t - v. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 351 = -22*x. Let p be (x\/9 + 5)*108. Round p to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -16*h + 249. Determine t(-7).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -749\/24 - -3577\/120. What is the fourth biggest value in 7\/13, t, 1, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 145*c - 5. Let m(f) = -f**2 + f + 2. Calculate 3*m(b) + t(b).\nAnswer: -b**2 + 148*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 18 = 22*w + 3*n, 0 = -3*w - 3*n + 27 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 46 = -16, 3*l + 28 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -106\nAnswer: -12.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27.1*0.24744\nAnswer: -6.705624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n + 9. Let y(f) = -7*f - 18. Let h(l) = 5*b(l) + 2*y(l). Let d be h(-4). Suppose -27 = 2*q - d*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 8*y + 1. Let p be s(2). Let k = p - -300. Does 47 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88398 = -109*w + 136*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 2 + 17, 181*l + 3*z = 179*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*(sqrt(3159) + -1*sqrt(3159)))\/(((sqrt(3) - -1*sqrt(12)\/sqrt(4)) + 1*(sqrt(3) - sqrt(6)\/sqrt(2) - sqrt(3)))*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/(-9) - 8\/36. Differentiate -1 - 4*o**4 + 5*o**4 + o**t with respect to o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1258795, -2517601, -3776417, -5035243, -6294079, -7552925?\nAnswer: -8811781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131402277.\nAnswer: 3, 29, 283, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, p: 8}. What is prob of picking 4 m?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15338 is divided by 311?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 697 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -3, 3, -15, 0.04408, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9373574 and 24759.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 16*p**2 + 14*p + 14. What is h(17)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 10 + -10 + 6 + (-7 - (3 - 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -400549 * -1.8\nAnswer: 720988.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from fdlffddddfddddfdd.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 823 - -525. Let a = 7 - 4. Suppose 7*p - k = a*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52231451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 39*w**2 - 117*w + 81.\nAnswer: -3*(w - 9)*(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from hggchdgcgduhhhgggd.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*z + 198*z = -770*z - 10719 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170\/3 - -57. What is b in -1\/3 - f*b**2 - 2\/3*b = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -12.7, -0.02, 6, -2, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m - 18. Let n(b) = -b**2 - 12*b + 5. Let f be n(-11). Let y be s(f). Suppose 4*w - 3*h - 6 - y = 0, 5*w - h = 116. Which is smaller: w or 26?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -6 - 7) + (-6 - -14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70548, 141099, 211650, 282201?\n\"Answer: 70551*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 9386?\nAnswer: 5\/9386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**4 + 4*h**3 + 318*h**2.\nAnswer: -48*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 522*c**3*w**3 + 2578*c**3*w**2 + w**3 - w**2 wrt w.\nAnswer: 3132*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18\/17 + -283\/187. Let g be ((-279)\/165)\/(3\/(-90) - 0). Let p = 3087\/55 - g. Find the common denominator of p and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2531563 (base 8) to base 15.\nAnswer: -dcbd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2442 and -43\/106?\nAnswer: 129426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 0*a**5 + 0*a**2 + 3\/56*a**8 + 0*a**3 + 0 - 3\/2*a**4 + 0*a**7 + 13*a - 7\/30*a**6. Find the third derivative of f(j) wrt j.\nAnswer: 360*j**3 - 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -11 (c) 2\/9 (d) -4 (e) 0.2 (f) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*p = 9, -z - 9 = -91*p + 89*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and -98562?\nAnswer: 98553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:21 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4803.345 minutes in days?\nAnswer: 3.33565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*s + 146*s + 8577 = 3251 - 10858 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1590850 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10983, 13176, 15367, 17556?\nAnswer: 19743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 + -4 - 0. Suppose 90 = 3*j - 57. Let o = j - h. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 109374 = -2*t + 109439, -9*t = -v - 336 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osppyjpssccs. What is prob of sequence oc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -4. Suppose 3*u = -3*i + 72, i + 0*u = -b*u + 26. Calculate the remainder when 43 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + -3 + 2 + 48. Let q = g - 15. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.06 + 1.6.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 27. Let x(l) = 3*l - 82. Suppose -10*n + 8*n - 16 = -3*o, -n - 3*o = 17. Give n*a(w) - 4*x(w).\nAnswer: -w + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -76. Let v(d) be the second derivative of -d**4\/12 + 7*d**3\/6 + 7*d**2\/2 - 2*d. Let a be v(5). What is the highest common divisor of o and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/4*5\/(-110). What is the closest to 3 in 4, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 50 = 3*l, 5*l - 45 = -54*p + 59*p. Let i be (-9 - -8)\/(1\/(-4)). Let k be (-3)\/(-4)*i + -4. Put -2, p, k in decreasing order.\nAnswer: k, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzlm when four letters picked without replacement from {l: 6, m: 1, z: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 122892 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 3*h - 8. Solve -2*d = 2*i + h, 0 - 1 = -3*i - 2*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -657, 3, 17, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 + 265877 - 265877 + 23*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*i**2 - 179*i**2 + 40 - 15 to h + x*i + m*i**2 and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, -84, -95, -110, -129, -152?\n\"Answer: -2*w**2 - w - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -7 (b) -3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38356645477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1163*d. Let f(n) = 5*n - 7. Give f(z(h)).\nAnswer: -5815*h - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 355*l**4\/12 + 1631*l**3\/2 + 3193*l**2 - l. What is the first derivative of i(f) wrt f?\nAnswer: 710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40631.18cm in micrometers?\nAnswer: 406311800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-45))\/((224\/(-40))\/2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73, -152, -231, -310, -389?\n\"Answer: -79*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 = -64*p - 211 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 23. Calculate the remainder when m is divided by (2 + -6)*((-72)\/(-12))\/(1 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371140 divided by -2\nAnswer: 185570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 29340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004631 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 5237889?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1348*m - 91689. Give d(68).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68800 and 1000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 457856 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 3}. What is prob of sequence jrj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-4)*(-520)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/252165115 or 0?\nAnswer: 2\/252165115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 1. Let k(a) be the third derivative of a**4\/8 - a**3\/3 + 5*a**2. Let u(y) = -2*k(y) + 4*z(y). Let l(t) = 4*t. Give l(u(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 192*l - 3045.\nAnswer: -3*(l - 35)*(l - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*0\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(171)*3 - sqrt(19) - sqrt(19)) + sqrt(76)\/sqrt(4) + -5 + sqrt(19))**2 - (sqrt(19)*-3*-2 + sqrt(19) + 3*sqrt(931)).\nAnswer: -118*sqrt(19) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132 - 5406113?\nAnswer: -5405761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174142292 to the nearest integer?\nAnswer: 13196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 11.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 1. Let w(r) = -321*r**2 - 428. Give -428*g(x) + w(x).\nAnswer: 107*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 74 - 1 = 0. Let j(u) = u - 6. Let f be j(8). Suppose f*v = v + 165. What is the greatest common divisor of v and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9698 + -0.0302. Sort 2\/7, x, 27.\nAnswer: x, 2\/7, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192))*-2.\nAnswer: -16*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 + 3 + 12*j**2 - 8 - 1 + 5. Let n(c) = -c. Give g(n(w)).\nAnswer: 16*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 2*o**2 + 6*o - 12. Suppose 5*u + 31 = 2*l, 2*l - 4*u - 24 - 2 = 0. What is the remainder when j(l) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 39. What is the nearest to -0.2 in 0.1, -2\/3, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -57*b**2 + 4*b + 140. Let k(u) = 115*u**2 - 10*u - 277. Let s(o) = -2*k(o) - 5*n(o). What is the derivative of s(q) wrt q?\nAnswer: 110*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -755.\nAnswer: -4530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 686639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - z - 12. Suppose -j - 4*h = -12, 3*h - 6 = -5*j + 20. Let w be q(j). Solve -2*l - 3*l = w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 478.84 - 4.84. Let w = r + -486.74. Round w to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 22*z - 114 = 0. Let v be 12\/2*285\/z. Let b = 53 + v. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04008783 to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/((sqrt(360) + sqrt(10))\/sqrt(2)))**2.\nAnswer: 13\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 207 - 7. Let q = 100 + c. Let h = -25 - -29. Put q, h, -33 in increasing order.\nAnswer: -33, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/6463 + 510514\/135723. Calculate the common denominator of y and -131\/276.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -20, 4*l = -4*z - 0*l + 60. Suppose 6 + 2 = 4*q. Calculate the lowest common multiple of q and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.000002 + -43. What is j rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2364423 rounded to four decimal places?\nAnswer: -0.2364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/79 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y - 16*y + 2*y = 532 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137324749*d**2 + 246151172*d?\nAnswer: -274649498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242002 (base 6) in base 3?\nAnswer: 12211001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 288?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 31*x**6\/15 + x**5\/10 - 9*x**2 + 11*x - 10. Differentiate v(w) with respect to w.\nAnswer: 248*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/4, -496, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -4 - -11) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14)*(-28)\/20. Let v = -4.9 - 0.1. Which is the nearest to -1? (a) v (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 - 23 = 0. Suppose 85 = n - 3*h - 8, 86 = n + y*h. Suppose -5*u - n = -8*u. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t + 5 + 0 + 24*t - 8 - 14 to the form i + s*t and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6350 + -10374?\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d**3 - 32*d**2 - 5*d + 10. What is x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-4)\/24*2\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972133867?\nAnswer: 31, 313, 100189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 16.4. Let z = l - 0.3. Round z to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 + 14*f**3 + 12*f**3)*(-3 + f + 3) - 7*f**4 + 6*f**4 + 2*f**3 - 11*f**3.\nAnswer: 29*f**4 - 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80)\/(-2)*(-1 + (-11)\/(-5)). Calculate the greatest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 55*q - 414. Calculate p(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 + 12*r**4 - 656*r - 3 + 652*r wrt r?\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 d when three letters picked without replacement from dggvdgdddddddvsddsg.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 8*j + 5. Let c be t(8). What is the units digit of (c\/1)\/(3\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 2*j**2 + 0*j**2)*(-5 + 0 + 2)*(3 + 9 - 2).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26493975 to 4 dps.\nAnswer: -0.2649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o*q**6 + 355*o*q**5 - o*q**2 - 116*o*q wrt q?\nAnswer: 120*o*q**3 + 21300*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -202*a**2 - 7*a + 4. Let r(v) = 810*v**2 + 25*v - 15. Calculate -15*p(i) - 4*r(i).\nAnswer: -210*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 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: Divide 42 by -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46005*h**2*j**5 + 24*h**2*j - 61*h**2 - 2*j wrt j.\nAnswer: 920100*h**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -131201132 (base 5) in base 4?\nAnswer: -2131332002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f**3 + f**3)*(f**2 + 0*f**2 + 0*f**2) + (16*f - 15*f - 3 - 2)*(2*f**4 - 18*f**3 + 23*f**3 - 13*f**3).\nAnswer: 3*f**5 - 18*f**4 + 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 - 2*k - 2. Let x(z) = -85*z**2 - 35*z - 35. Let g(c) = -35*b(c) + 2*x(c). Let q(t) = -3*t**2. Determine g(q(r)).\nAnswer: 45*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117325083 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 1311*m - 654*m - 652*m + 31, 31*o = 4*m + 59 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.3 (b) -2.71 (c) 0.06 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 121 = -5*p + 59, -2*p = 4*w - 148. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(24\/(-393)))\/((-1)\/2). Let w = 203 - s. What is the remainder when w is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12059900 to the nearest 10000.\nAnswer: 12060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 606696.3g in tonnes?\nAnswer: 0.6066963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 k when three letters picked without replacement from {k: 8, n: 2, l: 4, f: 1}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 620280878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 18\/3 + -2. Let n(m) = -5*m**3 + 1. Let g be n(1). Sort 2, g, a.\nAnswer: g, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, -3\/5, -52\/9, -19\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -416\nAnswer: 11\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 17*g + 8*g - 4*g.\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -22. Find the second derivative of -3*n**2 - n**3 - 6*n + 0*n**2 + j*n**2 wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/2, -199, -1, 3\/2?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.7 + -43.7. What is the second smallest value in y, -0.5, 86?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3728956823.\nAnswer: 3728956823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**10*(w**(-8)*w)\/w assuming w is positive.\nAnswer: w**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -11*w. Let l be j(-1). Solve 5*m = -l - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -166, -138, -90, -16?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7616840 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (660\/594)\/((-15)\/270)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/180 + j**5\/45 - j**4\/36 - 3*j**3 - 2*j**2 + 4. Let n(a) be the first derivative of i(a). Solve n(d) = 0 for d.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-8))\/(2\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21172481 is divided by 738?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/2)*i\/i**(-2\/11)*i*i)**(2\/3) assuming i is positive.\nAnswer: i**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(7\/(-35))\/(4\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 4*t**2 + 2*t - 11. Let q be a(4). Let v = 7 + -12. Let o = 1 + v. Is q smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.32 + -0.33. Put 1\/4, s, -3 in increasing order.\nAnswer: -3, s, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63532949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0420456356 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from yyhyhyyyyyhyyhhyy.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0*j**2 + 0 + 0*j**6 - 1\/14*j**7 + 3\/20*j**5 + 0*j**3 + 0*j**4 + 3*j. Factor w(x).\nAnswer: -3*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2843 - -86?\nAnswer: 28c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from oqosqqsooqqql.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4 + 4. Let t be (d + 0)\/(0 + -1). Suppose t = -0*n + n - c - 84, 3*c + 334 = 4*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*g - 974*g - 40420 = 208*g for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**(-2\/57))\/y*y)**43 assuming y is positive.\nAnswer: y**(4988\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2201, 1892, 1583, 1274, 965, 656?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 689 + 264. Suppose -4*a + b = a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - -3*(sqrt(2057) - (-1 + sqrt(2057)) - sqrt(2057))) + 1*sqrt(2057) + 0 + -4)**2.\nAnswer: 22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 2\/1 - -1. Suppose -o*g + 96 = -7*f + 4*f, -5*g + f = -92. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**7\/91 - 7*s**6\/195 - 3*s**5\/130 + 11*s**4\/78 - 4*s**2\/13 + 11*s. Solve o(x) = 0 for x.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 10:20 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25936469 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4292 in -0.016, -0.2, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 29, 112171 in ascending order.\nAnswer: 20, 29, 112171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 2*f**2 - 3*f**2)*(829 + 658*f - 829) + f**3 - 5*f**3 + 2*f**3 + 0*f**3 - 3*f**3 + 4*f**3 + (-4*f + 2*f + 3*f)*(-f**2 + f**2 + 2*f**2).\nAnswer: 1317*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(1539) + sqrt(1539))**2.\nAnswer: 13846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1115482, 4461486, 10038160, 17845504?\nAnswer: 27883518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, q: 1, p: 7, w: 8}. Give prob of picking 2 w.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14448, 28761, 43074, 57387?\n\"Answer: 14313*y + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 6*x**3 - x**3)*(-1 + 2*x + 1) + 53*x**4 - 36*x**2 + 54*x - 52*x**4 - 50*x.\nAnswer: 5*x**4 - 36*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*-5 - (sqrt(19) + (sqrt(304) + sqrt(304) + 2*sqrt(304))**2).\nAnswer: -4864 - 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*v + 38 = 0, 4*k - 1471*v + 1473*v = -34 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(63\/(-14)))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/98)\/(51\/(699006\/88))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.00094, -6\/7, -8?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575 = 3*l - 2*q, 2*l - 2*q = 134 + 918. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 - -129 - (18 + 1 + 6) - 76.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -19*w**3 + 447*w**2 + 2080*w - 36. Let x(o) = 15*o**3 - 335*o**2 - 1560*o + 28. Let t(f) = -9*x(f) - 7*z(f). Let t(s) = 0. Calculate s.\nAnswer: -52, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 + 12*k**3 - 16*k**2 + 842*k wrt k?\nAnswer: -12*k**2 + 72*k - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/(-2) + (-5)\/(-10). Let l(j) = 3*j - v - 6*j + 10. What are the prime factors of l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*t - 30328 = 48860, -63336 = -4*f + 4*t. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 80, 159, 238, 317, 396, 475?\n\"Answer: 79*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b + -2?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 176.505 * 14.2\nAnswer: 2506.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j + 100 = 55 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 7*z**2 - 3*z + 1. Let t be h(-7). Let w be ((-32)\/40)\/((-2)\/10). Suppose w*p - 2 = t. What is the lowest common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/10*(-57 + 52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -803979, -803967, -803955, -803943, -803931?\nAnswer: -803919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 21, -1, -5, 4 in descending order.\nAnswer: 21, 9, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7043 + 7067. Solve 0 = -46*h + 50*h + d for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 1\/4*x**5 - 2\/3*x**4 + 0 + 21\/2*x**2 + 19*x - 1\/6*x**3. Is r(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -155, -160, -163?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let n be (h + -1)\/((-1)\/(-5)). What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 9:58 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:01 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 865 + -813 + (-2 - 15) - -19?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*b - 4*w - 5 = -101*b - 7*w, 0 = 3*b + w - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112609656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n + 1. Let z be r(0). Put 4, -7, z, -4 in descending order.\nAnswer: 4, z, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 418 and 22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:46 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 1 - 2 + 1)*(2*i - i + 0*i) - 4*i**2 + 3*i**2 + 2*i**2 + (3*i + 0*i - i)*(-5*i + 3*i + 3*i) - 22*i + 10*i**2 + 22*i as x*i + r + k*i**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 (base 11) in base 4?\nAnswer: 22130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -59, 149 in descending order.\nAnswer: 149, 4, 3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5335 (base 7) to base 10.\nAnswer: -1888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/204 and 95\/364?\nAnswer: 18564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11187*v + 55792. What is l(5)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 24*o - 77. Let z be i(-20). Solve 6*s - 9 + z = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 8*h - 3. Let l be a(-7). Let w = l - 4. Suppose 5*t - 45 = -w*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77735*n**4 + 2*n**3 + 1186*n**2 - 3*n + 8 wrt n?\nAnswer: 1865640*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 3*p**3 + 2*p**3)*(1027*p + 1509*p + 835*p + 80*p + 609*p).\nAnswer: 32480*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -1 + 9. Let r(s) = -34*s + 3. Let b(x) = -34*x + 3. Let n(p) = 2*b(p) - 3*r(p). Is n(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -484, -242, 230, 926, 1840, 2966?\n\"Answer: -g**3 + 121*g**2 - 114*g - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/822 or 1?\nAnswer: 5\/822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2324, 141, 1, -21 in ascending order.\nAnswer: -2324, -21, -2, 1, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161 + -161. What is the nearest to j in 4, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.086 + -0.156. Round a to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25336 divided by 6334\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 2:20 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82379 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-12)\/16*-4. Solve -2*z = -z - v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*b**2 + 244001*b - 129423059 wrt b.\nAnswer: 28*b + 244001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - -11) + -13 - (2 - (-1 + -3 - -11)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 14*s**2 - 181*s - 244. What is h(14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-98))\/(-10 + 2448\/238). Which is the third smallest value? (a) 0.2 (b) 17 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*t**2 - 327 + 327 + (-16 + 5 - 11)*(-3*t**2 + 3*t**2 - 2*t**2) to a + q*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 seventh root of 1361 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**14*z*z)*z*z**3 assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - d - 2*d. Let m(s) = 5*s**2 + 3*s + 5. Let n(z) = z**2 + z + 1. Let h(g) = m(g) - 4*n(g). Let q(a) = h(a) - 3*r(a). What is q(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3*1\/(-2)). Let k = -3.3 + 3. Let v = k - -0.3. What is the third biggest value in v, 3\/5, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*c - 2*c - s, -2*c + s - 8 = 0. Suppose -36 = -3*p + 4*k, p - 5*k - 14 - 9 = 0. Suppose -p*v = -5*v - 18. What is the nearest to v in -1\/4, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - 5*h, -2 = 4*g + h + 2*h. Let c be (-18)\/(7 + -1)*(1 + g). Suppose 0*m - 1680 = -c*m. What is m rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75774 by 1.\nAnswer: -75774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77680 is divided by 74?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-28))\/(4\/14)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-5)\/(-10) + 12. What is the second biggest value in -1\/6, 9, i?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3749, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l**2 + 2*l**2 - l)*(31*l**2 - 415*l**2 + 3503*l**2).\nAnswer: 15595*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 2*o**2 - 10*o - 10. Determine c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1457*n**2 - 2495*n - 962700 with respect to n.\nAnswer: -2914*n - 2495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/1)\/(-1 + -1). Let j = -0.4 + 0.9. Let n = 7 - 7.3. What is the second biggest value in n, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 4.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 10*b**2 + 10*b + 11. Let s be m(11). Suppose -2*z - 2*z = s. Solve 4*x - 3*i - 28 = z, i = 2*x - 4*i - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00231294 rounded to 4 decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145959232983\/6326699476 + 9\/18942214. Let i be (-14)\/334*30\/7. Let j = z + i. Calculate the common denominator of -48\/5 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a tonne in kilograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 19*m + 32. Let g be q(-10). Suppose 0 = -17*b + g*b - 140. Sort b, 3, -1, 5 in decreasing order.\nAnswer: b, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 4, -166 in descending order.\nAnswer: 4, -60, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 243*t - 248*t + 40. Calculate the highest common divisor of 428 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -20. Suppose -25 = u*g + 45. Let a be 63\/g*4\/(-3). Solve -z = z - a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -37*k**3 + 19279*k**2 - 20282*k + 1040 = 0. What is k?\nAnswer: 2\/37, 1, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 + 52. Let v = m - -37. Suppose -4 = -c + v*c, -i + 137 = 5*c. List the prime factors of i.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 476 - 472. Let q = -4 + -6. Let c = q - -6. Which is greater: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18600, -1168, -20938, -40710, -60484?\n\"Answer: -d**2 - 19765*d + 38366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n - 42*n = 5*i, -4*n = 3*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4\/9, 4, -3 in decreasing order.\nAnswer: 4, -0.1, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33221.72 micrometers in centimeters?\nAnswer: 3.322172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/2 - 25*d**2\/2 - 119*d\/2 - 95\/2 = 0.\nAnswer: -19, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 15. Let l be m(0). Let d(r) = r - 1. Let x be d(-5). Let h be (-38)\/x - 2\/6. Calculate the greatest common divisor of h and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(26\/9)\/(k\/((k\/k**(-6\/5))\/k)))\/(k**(-13\/5)\/k**(-32)))**(-2) assuming k is positive.\nAnswer: k**(2368\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 0 + 6*q**2 + 5\/24*q**4 + 1\/3*q**3 + 0*q - 1\/120*q**5. Let i(r) be the first derivative of y(r). Determine i(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*i + 236 = 268, 6*g - 14*i = -12*i + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/15 and (2\/10 + 0)\/((-840)\/1428)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.29, 12.9, -21, 3, -3, -2?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -5 (b) -4 (c) 1\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.64 + -0.14. Let q = 3 - r. Let h be 10\/66 - (-2)\/(-6). What is the third smallest value in h, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40740, -81482, -122224?\n\"Answer: -40742*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0067218 to four dps.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14305\/6 - 2383. Determine d, given that -o*d - 1\/6 - 4\/3*d**4 - 3*d**2 - 10\/3*d**3 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + ((-1 + sqrt(637))*6 + -2 + -5 + 1 + 0 + sqrt(637))*3)**2.\nAnswer: -11760*sqrt(13) + 282517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 6*t**2 - 4. Let o(l) = -5*l**3 + 17*l**2 + l + 12. Let z(q) = 8*i(q) + 3*o(q). What is z(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3019648*x**5*y**3 - 4*x**2*y**2 + 11*x*y**3 - 2*x*y**2 + 13900*y**2 wrt x?\nAnswer: 181178880*x**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 8*q + q - 21*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 20 + 31. Suppose 2*v - 4*g - 8 = 4*v, 2*v - 4 = 2*g. Let l(o) = o**2 + o + 13. Calculate the remainder when j is divided by l(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -14*d**6\/5 - 179*d**5\/20 + d**4\/12 + 1086*d**2. What is the third derivative of y(a) wrt a?\nAnswer: -2016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 + -112.188. Let s = g + 2.988. Round s to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 78*j + 12086. Calculate k(-155).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 13*p + 14*p - 3*p to the form t*p + m and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/10 + w**4\/12 - 49*w**3\/6 + 6177*w**2\/2 - 2437*w. What is the first derivative of f(q) wrt q?\nAnswer: -6*q**2 + 2*q - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a day in minutes?\nAnswer: 31320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 64. Let j = 68 - b. What is the greatest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16990817 divided by 1\nAnswer: -16990817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 7*w = 64. Let r be (14 + w)*(-3)\/(-2). Let x = 2.1 - 2. What is the nearest to x in r, 0.2, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from uzzuzzzzzzzkxrzzz?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(30492\/(-1716))*-1*6\/2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10037.5 times 0.0109?\nAnswer: -109.40875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhddhhhh. Give prob of sequence hh.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 4:00 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 17763*i - 53302. Determine n(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - n = -0*g - 365, -4*g + 3*n + 1453 = 0. Suppose -4*f - 2*t = -35 - 69, -2*f + 52 = 5*t. Calculate the highest common factor of f and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5))**42 assuming y is positive.\nAnswer: y**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6301328 + 0.2\nAnswer: 6301328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5889.44 and 3.\nAnswer: 17668.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113192.\nAnswer: 2, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 859936000 rounded to the nearest 1000000?\nAnswer: 860000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 1. Suppose u - p - 294 = -3*u, -c*u + 362 = -4*p. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 5) + (15\/(-5) - -9). Let l(r) = -r**2 - 5*r + 8. Let m(f) = f**2 - f. Let i(h) = o*l(h) + 6*m(h). Find x such that i(x) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -18, -1, -2, -115 in decreasing order.\nAnswer: 25, -1, -2, -18, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 40. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from qbpmqhr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -663*v**3 + 664*v**3 - 113 + 587*v - 28*v**2 - 676*v. Give i(31).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4657332518?\nAnswer: 2, 2328666259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-5 + 6)*(-27)\/(-3). Suppose -24*h - s = -26*h. Solve 2*i - 6 = 3*i + 5*r, -h*i - 4 = -r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 476.370659 and 4?\nAnswer: 472.370659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -11)\/(-2 + 1). Let a(v) = v**2 - 8*v + 5. Let t be a(7). Let n be 2*t + 1 + 6. Solve -2*q - 4*x + n = x, 0 = 2*q - 3*x + g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*l - 7*d + 5, -2*l + 15 = -d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/6 in 5, -0.22, -0.3, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 11. Let g = y + 40. Let t = g - 22.999939. 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 b(g) = -g - 17. Let u be b(-32). Suppose -u*y + 19*y = 8. Solve 0 = -y*n - 0*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2000\/9 + 222. Let r = 15 + -10. Suppose -m = -r*m + 24. Sort v, 1\/7, m in descending order.\nAnswer: m, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.348 - 29.448. Let j = i + 29.100005. What is j rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 14 + 8 = -5*c, 3*c - f - 7 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 27. Solve -x + 4 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 42*g**3 + 4*g**4 - 87*g**3 + 7*g**2 + 11*g**4 + 18*g**2.\nAnswer: 5*g**2*(g - 1)**2*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + sqrt(112) + (sqrt(112) - -2*sqrt(112))*4 + sqrt(112) - (-2 + (1 + sqrt(112) + sqrt(112))**2).\nAnswer: -447 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 + 749*s**2 + 1123*s + 218. Calculate l(-373).\nAnswer: -1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 9887416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s**3 + s**3 + 3*s**3)*(4 - 4 - 2) - s**3 - 2*s**3 + 5*s**3)*(-2*s - 2*s + 2*s)*(3*s - 3*s - s).\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 565, -4, -5, 176, -10, 5.\nAnswer: -10, -5, -4, 5, 176, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 27*x - 14. Give a(-6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.009 to 2 dps.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 173*s - 630. What is f(4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1346454 and 12834.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7381\/3 - (-8)\/(-24). Calculate the highest common factor of 60 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*n**2 + 432*n - 192.\nAnswer: -3*(9*n - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -1 (c) -72 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 84. Let i(t) = t + 28. Let a be i(-9). What is the closest to -1\/4 in x, a, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**4\/4 + 4*t**3\/3 - t**2\/2 - 2*t - 7. Let v = 6 + -3. Give h(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:36 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 - 3*n. Let o(v) = -5*v**2 + 2*v. Let q(y) = 2*k(y) + 3*o(y). Let x(g) = 21*g**2. Calculate q(x(w)).\nAnswer: -2205*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -107*u. Let d(c) = -11*c + 4. Calculate l(d(n)).\nAnswer: 1177*n - 428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1317*n**3 - 1316*n**3 - 3*n + 3*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1014339189*q**3*z**2 - 11763*q**3*z - 586*q**2*z wrt z?\nAnswer: 2028678378*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45151.\nAnswer: 163, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -27815*p + 167. Let t be g(4). What is the tens digit of t\/(-285) - 6\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 12, 3, 31 in descending order.\nAnswer: 31, 12, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 9*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159.2 + -158. What is the closest to -1 in h, 2\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5930, 11861, 17794, 23729, 29666, 35605, 41546?\n\"Answer: u**2 + 5928*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*d**2*h**2*y + 4*d**2*h*y - d**2*h - 66498*d*h**2*y - 439*d*h + 1472*d*y + h**2*y wrt h?\nAnswer: 326*d**2*y - 132996*d*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1532.70441us to days.\nAnswer: 0.000000017739634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*f - 2834 = -319*f. Calculate the remainder when f is divided by 89.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 134*v**2 + 140*v - 272.\nAnswer: -2*(v - 68)*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -127224?\nAnswer: 127221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*c - 12, 3*l - 8 = l. Put -4, c, -2 in decreasing order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -23 - 3*2\/(-2). Let c be (2\/60)\/(5\/x). Is -1 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624.3553 hours to milliseconds.\nAnswer: 2247679080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1 - -2) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 572*g - 297. Let c(v) = -23*v + 12. Let p(x) = -99*c(x) - 4*f(x). Let w(m) = -5*m + 5*m + 2*m**2. Determine p(w(z)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7638, 15286, 22848, 30228, 37330, 44058?\nAnswer: 50316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*l - 777, 0 = -j + 5*j + l - 3123. What are the prime factors of j?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffvv when four letters picked without replacement from {f: 2, v: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7692271091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + 1 + 2 + sqrt(500).\nAnswer: 3 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*p)**(3\/2))**(-28) assuming p is positive.\nAnswer: p**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-27) - ((-8)\/3)\/(-4). Which is the second smallest value? (a) t (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 5 - 754\/750. Let b = 494\/1125 - f. What is the nearest to -23 in -2\/3, b, -1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 6, y: 2, q: 2}. What is prob of picking 1 y and 2 b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -33 + (-6 - -18) - (-8 + 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-1 - 1 - 18). Let h = -12 + n. Let b = h + -7. Solve b*p = -0 - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let o(d) = -5*d**2 + d - 1. Let g be o(h). Let t(u) = -2*u - 4. Give t(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f - 2. Let g = 4 - 16. Let k = g - -9. Calculate i(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.96663 to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188 - -648. Suppose u + 187 = y. Calculate the remainder when u is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 482 + -470. Solve 5*j - b = 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270789 divided by -12?\nAnswer: -2270789\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 - 7*w + 5*w**2 - 4*w + 14. Let x be j(10). Factor -5 + 5 - 3*m + 3*m**3 + 3*m**2 + 0 - 3*m**x.\nAnswer: -3*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3668*k + 96304 - 83160 = -195932 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*-2*(-81)\/54.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 93 = -249. Let z = -156 - k. Let f be (-27)\/15 + 3 + -1. Which is the third smallest value? (a) -4 (b) z (c) f (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-10)\/4) + -2 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2 = -5*m. What are the prime factors of 3\/(-6)*-6 + m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-21))\/1)\/(48*(-63)\/(-9072))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11283119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1566*y + 1367*y - 5320 = 2461*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13*p**2. Let n(b) = 20*b**2. Determine n(g(d)).\nAnswer: 3380*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*p - 339 = 5*u - 172*p, 0 = 5*u - 6*p - 147 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -10 - (-14 + 14 + -36)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s + 5. Let r(a) = -7*a + 6. Determine -4*j(c) + 3*r(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 9 (c) -2 (d) 5\/123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 13*n - 7. Determine b(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3\/3 + 5*u**2\/2 - 4*u - 17. Let n(w) = 0. What is w?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151151 times -1147?\nAnswer: -173370197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 348 = -q + 1832, -3*t + 3013 = 2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9239.99365 rounded to zero dps?\nAnswer: -9240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -589*i**2 + 294*i**2 + 294*i**2. Let j(w) = 50*w**2. Calculate m(j(g)).\nAnswer: -2500*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54215 + 7085?\nAnswer: 62311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c + 0 - 3*c**2 - 2*c**4 + 7\/20*c**5 + 2*c**3. Factor b(z).\nAnswer: 3*(z - 2)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of ((-42)\/(-4))\/(1\/(-3)*126\/(-21644))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3305*n = -3304*n - 9*b + 37, -b = -n + 3 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -45?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29, 95, 205, 359?\n\"Answer: 22*q**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*d + 15 = -440*d - 445*d, -m = 4*d - 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**5)\/l)*(l*l**(-4\/5))\/l)\/(l**(4\/7)\/((l\/(l*l\/l**(-5)))\/l))*((l\/l**(3\/2))\/(l**3\/l*l))\/((l**1\/l*l)\/(l**(-6\/5)*l)) assuming l is positive.\nAnswer: l**(-239\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 5, f: 2, u: 3}. Give prob of picking 2 l, 1 f, and 1 v.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 w when three letters picked without replacement from {l: 1, u: 3, t: 1, w: 3, f: 2, m: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(6\/11)))\/(t**(1\/13)\/t*t)*(t*t**1)**32 assuming t is positive.\nAnswer: t**(9219\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 17. Let s = -3.4 - -8.4. Put s, 4, u, 0.3 in decreasing order.\nAnswer: s, 4, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -5*x**4\/2 + 2*x**2 + 2. What is the second derivative of s(g) wrt g?\nAnswer: -60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230223420 (base 5) to base 15\nAnswer: 15345a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/26))**49*((c*c**(7\/5)\/c*c)\/c)\/(c*(c*c*c**(-23)*c*c*c)\/c))**(-9\/2) assuming c is positive.\nAnswer: c**(-20493\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-5))\/((-21)\/105). Let n = -14 + 14. Find the second derivative of y*r**5 - 8*r + 0*r + n*r**5 - 7*r**5 wrt r.\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + (4 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 3, -1 in ascending order.\nAnswer: -59, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -75. Suppose 5*j + 0*b - b - 26 = 0, -a = b. Solve j*u - 5 = 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -57. Suppose d*p - 898 - 1062 = 0. Does 40 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 349 or 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*p - 76*p - 73*p + 3*p**2 - 2*p**2 + 62*p**4 + 220*p to the form r*p + h*p**3 + u*p**4 + j*p**2 + a and give u.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -3*j**2 + 7\/3*j**3 + 135 - 1\/4*j**4 - 5*j. Let x(q) = 2*q**2 + 3*q + 3. Let g be x(-2). Determine l(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + 1200112?\nAnswer: 1201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1270, -4.5, -6 in decreasing order.\nAnswer: -4.5, -6, -1270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12379 - 5971. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8023122 > -8023121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*a - 5*w, -4*a + 2*w - 14 = 10. Let x be (a\/28)\/((-2)\/16). Solve x*f - 6 = -0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. What is x(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/15*-1*(-90)\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 134.62\nAnswer: 3500.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 29*q**2 - 60*q - 6. Calculate the remainder when 379 is divided by w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 18 - 1)*(j**2 + 0*j**2 + j**2).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/48*0)\/(2*(-1)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (1 + 7) - 1. Sort j, 2, 5, 3.\nAnswer: j, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let a(w) = 3*w**l + 0 + 3 - 5*w - 4*w**2. Let d be a(-5). Let k(o) = -2*o**2 + 2*o + 3. Give k(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0233b64 + 5?\nAnswer: a0233b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1000000?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 271095 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/2 + 33*t - 609\/2 = 0. What is t?\nAnswer: -29, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t\/t**5*t)**45*((t\/(t**2\/t))**(-2\/89))**(-3\/19) assuming t is positive.\nAnswer: t**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10159 is divided by 441.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 621913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 + 19771*v**2 - 2416454*v - 4912000 = 0. What is v?\nAnswer: -2, 125, 19648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27793750961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 38\/76 + (-1126)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**4\/4 - 2*n**3\/3 - 7*n**2\/2 + 46*n. Let p be g(-2). Let a(o) = -o**3 - 10*o**2 + 11*o - 4. Determine a(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -19 - -1*6\/(-42)*14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 1, k: 11}. What is prob of sequence kkkk?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 49. Calculate l(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 263, 2, 0 in decreasing order.\nAnswer: 263, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -1576\/553?\nAnswer: -1576\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h. Let r be q(-7). Suppose -k = 5*o - r*k - 25, -3*k = 2*o + 3. Suppose o*u - 5*u - 194 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, -24, 1\/6?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -484*d**2 + 3*d - 3. Let i(f) = -41625*f**2 + 259*f - 259. Calculate 3*i(j) - 259*k(j).\nAnswer: 481*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20767 is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 24*c**2 + 16*c - 16. Let s(w) = -2*w + 80*w**2 + w - 156*w**2 + 75*w**2 + 1. Give -q(f) - 16*s(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 16 = 4*h + 3*c, -c = -3*h + 12. Suppose -6 = -k + z + z, h*k + z = -3. Suppose i = -k*i. Solve i = 5*j + 22 - 2, -5*y + 1 = j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 407754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - 11*y**2 + y - 4. Let d(g) = -4*g**3 + 10*g**2 - g + 3. Let a(x) = 6*d(x) + 5*f(x). What is the units digit of a(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 38, -2\/17, -5, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -38*y**3 + 7*y**2 + 51. Let s(z) = 75*z**3 - 13*z**2 - 103. Let l(i) = -11*q(i) - 6*s(i). What is the derivative of l(h) wrt h?\nAnswer: -96*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 55\/230673?\nAnswer: 55\/230673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 9 + -2 + -4 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/69)\/(-4)*(-18711)\/(-4158).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m - 72. Let d = 30 - -1. Let v = d + m. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19303950 to the power of 1\/2, to the nearest integer?\nAnswer: 4394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 73*v**3 + 3)*(17*v**2 - 7*v**2 + 6*v**2).\nAnswer: -1168*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.4299 litres to millilitres.\nAnswer: 16429.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3192 - -3186. Sort 0, -4, 2, v, -2\/5 in descending order.\nAnswer: 2, 0, -2\/5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 12, -131626 in increasing order.\nAnswer: -131626, -9, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -130 and -3598?\nAnswer: 3468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0.4, 529, -0.3.\nAnswer: -4, -0.3, 0.4, 5, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1253129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125.082 - 60?\nAnswer: -1185.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4*(sqrt(121) + (sqrt(121) - ((sqrt(121) - (-2*sqrt(121) + sqrt(121) + sqrt(121))) + sqrt(121)))))\/(sqrt(11) + -1*sqrt(539)) + -4)*5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1538*q - 783*q + 1216*q - 2594*q - 765*q)*(2*q + 0*q - 3*q).\nAnswer: 4464*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 594008 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3002 - -431. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 2:31 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44183410 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + 2. Let h(m) = 2*m**2 + 5. Let c(p) = 5*p**2 + 11. Let u(f) = -4*c(f) + 9*h(f). What is -3*t(a) + 7*u(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + 4*w**3 - 6*w**3 - 1)*((-1 - 1 - 1)*(39*w - 275*w - 62*w) + (5 - 3 - 3)*(5*w + 3*w - 3*w)).\nAnswer: 889*w**4 - 889*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 171338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1380\/16905)\/(40\/1750).\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 90*t - 638. Calculate b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 11*g - 16. Calculate the remainder when 31 is divided by k(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 0 (c) -0.1363 (d) 0.3 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44439 and 297.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30275 (base 8) in base 11?\nAnswer: 9413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 2. Let a be g(2). Let f(u) = -u**3 - 15*u**2 - 14*u + 32. Let w(c) = 4*c - 8. What is the least common multiple of w(6) and f(a)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157082 - -1.901138\nAnswer: -157080.098862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159640344 is divided by 223?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.40851.\nAnswer: -1.63404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73\/2 + 36. What is the nearest to 1 in -2, i, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*t - 8, 4*t + w + 16 = 5. Suppose -28 = -3*k - 43. Put 1, k, t in ascending order.\nAnswer: k, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((1*(sqrt(30) - (sqrt(30) + sqrt(480) + sqrt(30))))\/sqrt(10) + 3*(sqrt(363)*2 + sqrt(363))))**2.\nAnswer: 26508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52591570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*f = 3*p + 104 - 110, 0 = 4*f + 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*4\/(-16)*(-8 + 9). Let r(u) be the third derivative of 1\/70*u**7 + 1\/10*u**5 + t*u - 2*u**2 + 0*u**4 + 0 + 3\/40*u**6 + 0*u**3. Factor r(d).\nAnswer: 3*d**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -2*l + 5*l. What is the remainder when 107 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -12. Let n be (2\/(-2))\/((-3)\/15). Sort k, n, -4 in decreasing order.\nAnswer: n, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.0351, 3, 1\/4, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + 3\/9. Let u be (a + -2 - 2)*1. Let g(v) be the first derivative of v**2\/2 + 2*v + 2. Determine g(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.69 times -11634.13\nAnswer: -8027.5497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -11 (b) 186 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3196944 is divided by 399616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4076?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634 = 18*b - 3678 - 3328. Calculate the remainder when b is divided by 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/24 - 3*s**2 - 8. Calculate k(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11529 divided by -11529?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + -2*sqrt(112))*2)\/(sqrt(24)\/sqrt(3)*5))\/(sqrt(847) + sqrt(847) + sqrt(847) + 1*sqrt(847) - sqrt(448)*3).\nAnswer: -sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60098459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11244109.5 * 0.1\nAnswer: -1124410.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 5:50 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*s, h + 4*h - 44512 = -4*s. What is h rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 4*d - 18. Let v = d - -16. Calculate the smallest common multiple of 8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 754804415 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 2*n + 8. Let f be m(-6). Let y be 5\/1*f\/10. Let r be y\/(-56) + 96\/14. Solve -r = 4*s + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d\/(d\/d**(4\/13)))\/d)*d**(2\/7)\/d)\/((((d\/(((d**(-2\/3)\/d)\/d*d*d)\/d*d))\/d)\/d)\/(d\/d**2)))**(-32))**(-6) assuming d is positive.\nAnswer: d**(5440\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11648713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 0*k - k**2 + k - 1. Let m(i) be the second derivative of -i**5\/20 - i**4\/6 - i**3\/3 - i**2 + 668*i. Determine -2*b(p) + m(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7780 is divided by 229?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20326559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 116*l - 625. Calculate h(63).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13\/12 - (-33)\/(-99)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96926 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3696, 75, 2 in descending order.\nAnswer: 75, 2, -3696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -127810000 rounded to the nearest 1000000?\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 1\/30*b**5 + 1\/9*b**4 + 6*b - 2\/3*b**2 + 0 - 1\/9*b**3. Factor s(h).\nAnswer: 2*(h - 1)*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-70)\/(-56) - 342\/(-8). What is the third derivative of -3*y**2 - 84 + 96 - 44*y**4 - g*y**4 wrt y?\nAnswer: -2112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -317\/57 - -17\/3. Put i, 0.2, -5, -2 in ascending order.\nAnswer: -5, -2, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/1039 or 1?\nAnswer: -28\/1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1074523, 2149046, 3223569, 4298092, 5372615, 6447138?\nAnswer: 7521661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 2)*(0 - 4 + 3)*(7*d - 3*d - d) in the form y*d + g and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(68) + sqrt(68) + 2*sqrt(68)*-3 + sqrt(68) - (sqrt(68)*1 + sqrt(68))*5))\/(sqrt(48)\/sqrt(192) + sqrt(40)\/sqrt(250)))**2*4.\nAnswer: 18387200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*f - 89 + 10*f + 214 + 195 - 57 as g + z*f and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/19 (b) -0.43 (c) 1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 + 4575*p**2 - 36819*p - 41391 = 0.\nAnswer: -1533, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 167113159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (1 - -11) - (-18 - -8)) + -36?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -242 in -1\/4, -0.3, 4, -3\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18*(0 - 2)*(-5)\/30. Let z(g) = 7*g - 20. Let h = 3 - -3. What is the remainder when z(d) is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Suppose -20 = -4*d - i. What is the lowest common multiple of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.45 + -0.09. Let q = -0.14 - g. What is the second biggest value in q, 0.4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8*(-42)\/7)\/(((-261)\/342)\/(-29))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 821 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: What comes next: 1369, 1365, 1359, 1351, 1341, 1329, 1315?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104, -4, -188, -448, -784, -1196?\n\"Answer: -38*a**2 + 6*a + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**7\/42 + 697*s**4\/6 + 271*s**3\/6 - s**2\/2 + 311*s + 4. What is the second derivative of r(w) wrt w?\nAnswer: 20*w**3 + 2788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**2 + 9*k**2 - 6 + 6*k**3 - 3*k**2 - 4*k. Factor i(m).\nAnswer: 2*(m + 1)*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + p - 1. Let d(u) = 13*u - 4. Give -d(v) + 4*h(v).\nAnswer: -4*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**3 - s. Suppose -5 = -5*g - 5*z, g + 3 = -4*g + 3*z. Let p be g*3\/(-9) - 2. Is v(p) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 105*3\/(8 - -13) - (0 - -1). Solve 2*s + d = 2*t, 0 = -3*s - 17*t + 13*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 304 - 308. Let r be 12 + -3 + m - 0. Solve -r*a + 15 = 5*q, -2*a - 20 = 3*a - 2*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o - 4*d - 15 = 0, -2*o - 8 = 2*d. Let p(i) = -3*i + i + 3*i. Let h be p(-5). Sort 5, h, o.\nAnswer: h, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4825489931?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, a: 5}. What is prob of sequence aa?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*p - 1314 + 5307 = 2043 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154830267?\nAnswer: 3, 47, 366029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 9*b - 10*b. Let m(x) be the third derivative of 1\/72*x**4 + 0*x + 0 + 1\/180*x**5 - 2*x**2 + 0*x**b - 1\/360*x**6 - 1\/630*x**7. Factor m(j).\nAnswer: -j*(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/30 - 6*v**5\/5 - 17*v**4\/6 + 436*v**2. Factor r(i).\nAnswer: -4*i*(i + 1)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 153, 209, 247, 261?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 + 183. Suppose 2*w - 11 = 1. What is the hundreds digit of ((-441)\/w)\/((-18)\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*j + j. Let t(f) = 3*f**2 + 3*f. What is the lowest common multiple of t(-2) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -4 - (-18 - -18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*h = -174, 12*p = 15*p + 2*h - 285. Sort -2, 2, p in descending order.\nAnswer: p, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -8, -25, -56, -107, -184, -293?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 37. Suppose -17 = -g*q + m, 2*q - m - 16 = m. Solve y + q*y - 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4335000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.52?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 4*l**4 - 3*l + 7 - 6 + 4 - 3 in the form c*l**2 + j*l**3 + k*l**4 + m*l + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -g - 3*a + 97, 0 = -2*g - 5*a + 249. Calculate the greatest common divisor of g and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*a = 122, -4*z + 3*a + 134 + 23 = 0. What is the highest common factor of 1580 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 7 - 7) + -16 - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f. Let y be 1 + f + 41 + -4. Find the third derivative of y + 20*w**5 - 15*w**2 - 38 + 5*w**2 wrt w.\nAnswer: 1200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3982 + -986. Suppose -3*o = o - t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (6*(1 + sqrt(325)) - (4*(sqrt(325) + 1 + sqrt(325)) + sqrt(325))))**2.\nAnswer: 30*sqrt(13) + 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 148 = 9*r - 6*r, 48 = r - 2*d. Calculate the highest common divisor of 221 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17435245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 276.\nAnswer: 13524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 - 8*m**2 + 2*m. Let r(f) = -4*f**3 - 7*f**2 + 2*f. Let d(i) = -5*n(i) + 6*r(i). What is the units digit of d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -65.9999899. Round k to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - p**2 - 2*p + (73*p - 641 + 641)*(-2 + 2 - 6*p + 200*p) to n + k*p**2 + j*p and give k.\nAnswer: 14161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -8) + (1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 3*o**7\/280 + o**6\/120 - o**5\/20 + 57*o**3\/2 + 13*o**2. Let d(z) be the first derivative of w(z). Let d(k) = 0. What is k?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.87 - -49.1. Let p = o + 0.03. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-24) - -5)\/((-2)\/(-16)). Solve 16 - c = -6*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15635 + 15634.79. Which is the nearest to -5? (a) 0.2 (b) n (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 11}. What is prob of sequence de?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2204366 and 7?\nAnswer: 15430562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -39*(-1)\/9*3. Suppose -8550000 = 8*m - l*m. Round m to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + 2*sqrt(130))*6 - sqrt(130) - (sqrt(130)*1*6 + sqrt(130)))\/(-6*-2*sqrt(360) + (sqrt(360) - -2*2*sqrt(360))).\nAnswer: 5*sqrt(13)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*r + 8, -u - 29 + 30 = 0. Let o = 9.07 + -9. Which is the second biggest value? (a) r (b) 0.01 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*p)\/p**(1\/4))\/(p*p**(-1)\/p*p**0) assuming p is positive.\nAnswer: p**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 1. Suppose 0 = -5*z - 4*g + 15, 3*z + 3*g = g + 7. Suppose 3 = -5*q + 2*q. Let c = 16 + q. Let p(u) = 18*u - 15. Calculate c*v(b) + z*p(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*h = 92, j + j - 2*h = 58. Let g be (-2 - -2)\/(-2) - -3. Suppose -g = -z + 6. Calculate the remainder when j is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v - 474*v**3 + 7*v**2 - 7 - 481*v**3 + 956*v**3. What is i(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5370, 5372, 5376, 5382?\nAnswer: 5390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -163ce + 52?\nAnswer: -1637c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79 + ((-3)\/(-3) - 2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + 1 + (-22 - (5 - 30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(39\/7 - 5)*(19 - (-90)\/(-6))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -37*w**2 - 7*w + 19 - w + 38*w**2. Let b be d(5). Calculate the common denominator of 113\/12 and -1*b\/8*(25 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 64.1. Let d = -2.1 - y. Suppose 2*w = -2*w. Are w and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - g + 5*g - 16 = 0, 0 = -4*r + 4*g - 12. Let k be ((-86)\/r - -2)*2. Suppose 19 = c + 3*j, 9*c - j = 4*c + k. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + -5 + sqrt(153) + (sqrt(17) - sqrt(51)\/(sqrt(192) + sqrt(3)))).\nAnswer: -35*sqrt(17)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 9760943.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47923 or -47925?\nAnswer: -47925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.025 + 27.525. Let z = 28 - u. What is the nearest to 1\/3 in z, 3\/4, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5957.503 micrograms?\nAnswer: 0.000005957503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15440842 divided by -1942?\nAnswer: -7951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53599, -107108, -160529, -213862, -267107, -320264, -373333?\n\"Answer: 44*q**2 - 53641*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, 0.1, -3, 3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 781 and 2596?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**4 - 23*m**2 + 13 + 196*m**5 + 24*m**2 - 198*m**5 - 276*m**3 + 4*m**4 + m - 5*m**4 wrt m?\nAnswer: -120*m**2 - 48*m - 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13934 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -30\/793441?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 3. Let r(f) = f. Let y be r(2). What is the nearest to y in z, -3\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1. Let m(v) = 2*v**2 - 4*v + 1. Let y(l) = -4*k(l) + m(l). Let s(j) = j**2 - 2*j + 2. What is -9*s(h) + 4*y(h)?\nAnswer: -h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 4253000.\nAnswer: 19\/4253000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 3*w**4\/8 + 57*w**2. Let h(a) = 26*a**2. Determine d(h(q)).\nAnswer: 234*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770, 781, 798, 821, 850, 885?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + w + 4*w = 20, 0 = -2*t + 3*w - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55899601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.938465955 and -5.\nAnswer: -4.061534045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*p - 2309, 0 = -5*p + 3*p + 4*r + 1182. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*72\/(-156) - 5*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1792175 to two decimal places.\nAnswer: 2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -17) + -8 + (-5 - -2 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/4*(-20)\/30\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -326*v + 17939. Let i be f(55). Sort 2, -4, i, -1, -159 in descending order.\nAnswer: i, 2, -1, -4, -159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3 - 56919*v**2 + 765965487*v + 1268136215783 = 0.\nAnswer: -1487, 29203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/24*3*(-24032)\/(-19526)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.5, 0.2, -163?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*x**2 + 34 + 34 - 83*x**2 - 68.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 874*j**2 + 5688*j - 422004. Calculate o(-881).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5)\/o)**(2\/59)\/(o**(-4\/7))**(4\/9) assuming o is positive.\nAnswer: o**(4594\/18585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -9*f**4 - 366*f**3 + 279*f**2 + 6144*f - 10332 = 0.\nAnswer: -41, -14\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnn when three letters picked without replacement from {c: 1, n: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = 2*j, -j + 3*g - 21 = -2*j. Let v be ((-3)\/12)\/((-3)\/j). Let k = 5\/6 - v. Is k < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1568*i*t**3*u - i*t**2*u - 10*t**3*u + 60*t**2*u - 2*t**2 wrt i?\nAnswer: 1568*t**3*u - t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*h**5 - 56*h**5 + 11*h**5 + (11 + 5*h - 11)*(-h**4 - 3*h**4 - h**4).\nAnswer: -54*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -385478\/5 - -77711. Let l = v - 618. What is the common denominator of 93\/10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13702*t - 13730*t = -588. Solve -7*q = -0*q + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2587.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 374, 372, 370?\n\"Answer: -2*c + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*v = -35, -4*x + 41 = -0*x - 5*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**4 - 89385*l**3 + 357621*l**2 + 983277*l - 2681910 = 0.\nAnswer: -29799, -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 92. Let u = q + 52. What is the second smallest value in 2\/5, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -6*4\/(3 - -9) - -34 and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*j - 1 = 0, -3*j = 2 + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b - 21. Let v(d) = -2*d. What is 2*j(t) + 6*v(t)?\nAnswer: 10*t - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 10*t + 8. Suppose -4*h - h - 4*a + 404 = 0, 0 = 3*h + 5*a - 245. Suppose 5*k + 3*k - h = 0. Let b be j(k). Solve 5*y + 7 = -b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 607\/4 - 151. Let l = 17.8 - 20. Let b = l - -4.2. Sort b, m, 6 in descending order.\nAnswer: 6, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 26190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*a - 159*a + 36*a + 35*a + 43*a + 93 to the form p*a + s and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 21484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10995\/308 + -237\/7. Calculate the common denominator of -43\/4576 and p.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/((-5775)\/(-9362149895)) - 3\/(-5). Round h to the nearest one million.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*u - 22, 0*u - u - 1 = 0. Suppose -3*v = o + v + 19, 2*v - y = 0. Let l be (-13)\/o*0\/(-2). Solve l*t = 4*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -242 - -2664\/11. Find c such that 2\/11*c**2 - y*c**3 + 0 + 0*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.2, 1\/4.\nAnswer: -0.2, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.896 - 0.104. What is the closest to -2\/7 in 3\/5, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 198 + 2*1\/(-1). Suppose u = 4*s - 255, -u + g = 3*s + 3*u. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 - m**2 - m - 2. Let b be q(-2). Let p = b - -87. What are the prime factors of p?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 372*q - 13. Is a(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01209 take away 0.0152?\nAnswer: -0.00311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -2 - -5) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 133*t**2 - 3951*t - 29. What is v(-25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + q**3 - 4*q**3)*(0 + 0 - 2) - 2*q**3 + 1310*q**2 - 365*q**2 - 293*q**2.\nAnswer: 10*q**3 + 652*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865\/95 + 44\/(-418).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 37\/9 (c) -4 (d) -4\/7 (e) -2\/7 (f) -2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 19*m**6\/360 + m**5\/120 + m**4\/24 + m**3\/3 + 2*m. Let n(g) be the second derivative of p(g). Is n(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44230 (base 6) in base 15?\nAnswer: 1c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173405 (base 8) in base 2?\nAnswer: 1111011100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14329)\/(-267))\/((-2783)\/(-1452)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5527 - 5331.487. Let m = -0.487 - p. Let f = m + 195.999847. What is f rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3)*450\/3000. Suppose 64\/5*m**5 + 73\/5*m**2 + f + 14\/5*m + 176\/5*m**4 + 172\/5*m**3 = 0. Calculate m.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 19. Let v be g(-6). Let h be (v\/21)\/(-2 + 4 + -3). Which is the third smallest value? (a) -5 (b) h (c) 19 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 9 + 2*v + 1)*(-2*v**2 - v**4 + 2*v**2) + (4*v**3 - v**3 + 0*v**3)*(v**2 + 6*v**2 + v**2).\nAnswer: 22*v**5 - 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6120.067 years?\nAnswer: 612.0067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3852723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2\/2 + 2662580*l + 3544666128200 = 0.\nAnswer: -2662580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1863 and 33973047?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.69001um in millimeters?\nAnswer: 0.01369001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74049167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + z + 32. What is t(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-55)\/(-30)*3)\/((-2)\/(-12)). Let s(q) = -30 + 114*q**2 + 63 - f. Let y(k) = -k**2. Determine s(y(p)).\nAnswer: 114*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/285306 and 107\/12?\nAnswer: 570612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**3 - 4*h**2 - 7*h - 2. Let u(c) = -2*c**3 - 2*c**2 - 3*c - 1. Suppose 201*y + 960 = 41*y. Determine y*n(t) + 14*u(t).\nAnswer: 2*t**3 - 4*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 8*j = 0. Solve j*v = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75053 is divided by 1924.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o**3 - 3*o**2 + 2*o + 4. Let v be a(-1). Solve -v*n + 10 = 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 5*c - 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64715 or 64576?\nAnswer: 64576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/1*2\/8. Let u be 2\/(8\/10)*6. Suppose -5*y + 12 + u = -2*q, -s*y = -2*q - 6. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-4 - (-5 + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 12) to base 13\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11569.2266 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*n**3*x**2 - 248*l*n**3 + l*n + 2*n**3*x**2 - 19*n*x**2 with respect to x.\nAnswer: 4*l*n**3*x + 4*n**3*x - 38*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*9*(-10)\/(-1080)*(-444)\/6?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + -68 + 1 + 2 + -19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 687027 by -1199.\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*h - 60*h + 24*h + 11*h - 33*h + 135*h**2 + (-2*h + 3*h + 3*h)*(-1 + 2*h + 1).\nAnswer: 143*h**2 - 88*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-36)*0)\/((-15)\/(-3)). Suppose 5*n = 3*i + 82, u = -n + 64*i - 65*i + 10. Solve 3*c = -2*t - n, 2*c + t = 1 - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197890910 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3698 or -3700?\nAnswer: -3698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 327\/5 - 11\/(-110)*-4. Solve g*r - 63*r - 16 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 292\/(-14) + 14?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2 - (-126)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**6\/3 + 2*f**3\/3 - 22*f**2 - 34. What is the second derivative of b(j) wrt j?\nAnswer: -40*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 + 100. Let y = 2.1 - 2. Are y and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30 and -334\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1968 + 4914 + b + 4914 - 3*b - 11796.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 356748 divided by -25482?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261 + -260. What is the remainder when 35*(z\/9)\/((-6)\/(-54)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -5*y + 68*v - 67*v, 2*y - 3*v = 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62209171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4899450 and 45875?\nAnswer: 24497250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -50. Solve -2*a = 3*m + 3*a + 34, -19 = f*m + 2*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2. Let d(o) = 14297*o**2 - 3*o. What is d(n(a))?\nAnswer: 14297*a**4 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53797430?\nAnswer: 2, 5, 331, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**(-2)))\/l)\/l)\/l)**6\/((l\/l**(2\/9))\/l**(4\/3))*(l\/l**1)**(6\/19)*(l\/(l**8\/l))\/(l*l\/l**(-1\/4)) assuming l is positive.\nAnswer: l**(-493\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + w - 63 = -91, 24 = 2*t - w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 449, 902, 1355, 1808, 2261, 2714?\n\"Answer: 453*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -22\/5, 0.23, -2\/9, -226, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1003 - 886. Let w = -16 - -42. Calculate the highest common factor of l and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 427 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -1.1. Let p = 27 + -30. Sort p, 2, r in decreasing order.\nAnswer: 2, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6373, 6377, 6383, 6391, 6401, 6413, 6427?\n\"Answer: i**2 + i + 6371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 157. Calculate the greatest common factor of q and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.325952 and 2.\nAnswer: 0.674048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 61*z**2 - 119*z**2 + 57*z**2 - 11 - 9*z. Let q be j(-7). Suppose 12498522 = q*f - 51701478. Round f to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 39. Suppose 3*d - 205 - 599 = f. Let i = -70 + d. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.73088ml to litres.\nAnswer: 0.06273088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c - 1. Let y be 9\/6*(-16)\/(-6). Let k be 2\/(-4) - 2\/y. Give j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3 (c) -2 (d) 145 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1. Let u(m) = -2*m - 2. Suppose -4*g + 4*d + 28 = 0, -25 = -4*g + 4*d - d. Let k = -37 - -31. Determine g*u(z) + k*r(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2171*j - 2578*j - 814 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -35*a + 38*a + 5*r, 2*r = 2*a + 34 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115722 + 115725. Let o = -4.6 + 5. Which is the nearest to 24\/7? (a) o (b) f (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000159491172 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 30*d + d**3 - 29*d + d**2 + 4*d**2 - 4*d**2 + 2. Let f be n(0). Suppose -6*i = 4*z - f*i - 448, -348 = -3*z + 3*i. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3080143 or -3080140?\nAnswer: -3080143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*3\/4*3\/(-72)*-16. What is the closest to 1 in -3\/5, 1\/4, s, -12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i - 3, i = 2*m - 9. Let r = -2278 + 1387. Let d = r - -893. Solve -m = h - k, 0 = d*h - 7*h - k - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 8\/5, 1\/87 in ascending order.\nAnswer: -16, 1\/87, 1, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8793 - 736. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4046\/(-140) + 2\/4)\/((-799)\/(-85) - 9).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36810 and 198774.\nAnswer: 993870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/120 + 2*x**5\/15 + x**3\/2 + 51*x**2. Determine m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 + (-57)\/21. Let h = z + 13. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -0.2 in decreasing order.\nAnswer: 5, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.107251773 + -8011.47.\nAnswer: -8011.362748227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iikh when four letters picked without replacement from {m: 5, i: 3, k: 1, s: 1, h: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290 + -290.5. Let n be 50\/(-28) + 5 + (-21)\/6. Let b = 176\/7 + -25. What is the closest to n in 5, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54172\/5 equal to 10833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 141*s + 7606, -3*s = 4*i + 8622 - 8444 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - 240?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.35*626.\nAnswer: -17747.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3043 is divided by 304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-2 + -1*sqrt(200) + sqrt(200) - (-1 + sqrt(200) + 0)) + (sqrt(200) + sqrt(200) + 0 + 2 - (-1 + sqrt(200) + 1)))*1)**2*-5.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 660, 703, 834, 1101, 1552?\nAnswer: 2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/10)*d*d*d**19\/d)**(-35) assuming d is positive.\nAnswer: d**(-1407\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 * 26.\nAnswer: 114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3 + 1. Let y(b) = -24*b + 252. Let u(h) = -8*h + 84. Let f(z) = -16*u(z) + 5*y(z). Calculate the least common multiple of q and f(20).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68 and -0.03.\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2214, -2201, -2188, -2175, -2162?\nAnswer: -2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/23)\/(3\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + 13 + -3 + -22 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 27 = -6*d. Let w be (2 - d\/3)*-5. Let l be (3\/3)\/(1 - 0). Solve -w*u + 4 = -l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -101, -227, -403, -629?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5597, -7, 4 in descending order.\nAnswer: 4, -7, -5597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/28721 and 0.14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19052 + -2398. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 88 = -m - 3*m, -5*m + 110 = c. Suppose -2*r - m = -4*y - 0*y, 3*r = y - 13. Solve 7*q - 9 = y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4865.20332 to the nearest integer.\nAnswer: -4865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*y**2 + 2*y**3 - 103*y**2 + 248 - 97*y**2 in the form n*y + j*y**2 + d*y**3 + f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**2*t**2 - 3*h**2*t - 9*h*t**2 + h*t - 640*t**2 - 10*t + 3344 wrt t.\nAnswer: -10*h**2 - 18*h - 1280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1977 + 1286 - 4137 + 15030*u**3 - 4591 wrt u.\nAnswer: 45090*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 240 = -74*y. Solve y*j - 5*q + 13 = 5*j, 4 = 5*j + 3*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.4. Let j = 0 - x. Let u = -9 + 10. Sort u, -3\/2, j in increasing order.\nAnswer: -3\/2, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -84, -116, -146, -174?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3495156304?\nAnswer: 2, 67, 3260407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-126) + 0 - 856\/738.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0 + l + 0*l**2 - 1\/2*l**4 + 1\/3*l**3. What is the second derivative of m(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h = -4*m + 464946, 2*m - 3*h - 232462 = 0. Let y = m + -168900. Let f = 2666 + y. What is f rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66.99 + -67. Which is the closest to -0.2? (a) 4 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1567 - 602. Suppose -2*s + o = 525. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 divided by -436?\nAnswer: -537\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-798)\/(-76)*(-1 - 27))\/(-2). Solve -44*s = -15 + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.12 - -0.88. Let g = 2 + -1. Which is the third smallest value? (a) g (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 159*i**3 - 25*i + 107*i**3 - 50*i**3.\nAnswer: -102*i**3 - 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5767*f - 23167. Give o(4).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 38162 and 38161 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-941*l - 943*l - 1623*l).\nAnswer: -7014*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525ff (base 16) to base 5.\nAnswer: 41244112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2822533, 11290123, 25402773, 45160483, 70563253, 101611083?\nAnswer: 138303973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6458874017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51602905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.77 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26, -6419 in decreasing order.\nAnswer: 26, 2, -6419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -64. Let w = -24.6 + q. What is the smallest value in 4, -3\/5, -1\/6, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15362 - 0.73468. Let k = -0.1573 - u. Let j = k - -0.069. What is j rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11013416 (base 7) to base 15.\nAnswer: -139e3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32964208, 65928418, 98892628, 131856838, 164821048?\nAnswer: 197785258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*y - 4*h, -3*h + 0 = -y - 10. Let z be y\/(-5)*2*-5. Suppose -s + 950 = j + 2*j, 0 = -z*s + 5*j + 3851. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 smaller than -30169690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 670579 to the power of 1\/2, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.0833019 + -1297.7467.\nAnswer: -1294.6633981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -694, -697, -700, -703, -706, -709?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 - 9*c**2 + 2641*c + 3. Let a(v) = v**3 - 3*v**2 + 1. What is -3*a(o) + u(o)?\nAnswer: o**3 + 2641*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (57 + -37) - (-7 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 - 153. Is m(13) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + r + 0 = -10, 0 = -5*m + 5*r. Let f be (9\/26 - 36\/(-234))*(-44)\/561. What is the closest to f in -1, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 17 + 5*c - 11 + 2 - 4.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 7:19 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.315 and 0.19.\nAnswer: -0.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 206701.992 minutes in weeks?\nAnswer: 20.50615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*k + 758 - 1554 - 2696 = 0 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*((-1 + 1*sqrt(288) - sqrt(288) - sqrt(288)) + -5 + -5*(2*sqrt(288) + sqrt(288))*3))**2.\nAnswer: 66240*sqrt(2) + 5485072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from glgltzgtttlgttgttgm.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 64, 128, 218, 334, 476, 644?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 19 = i, 0*i = -i - 4*h - 11. Suppose w + 3*x - i = 0, -4*x = -2*w - w + 1. Suppose k - 32 = -w*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 7:31 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x - 24. Let q be b(-2). Let a(r) = 32*r + 20. Let j be a(q). Which is bigger: j or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1008) - (-5 + sqrt(1008) + -1))**2 - (-2 + sqrt(112) + 0 + (sqrt(112) - (3*sqrt(112)*-2)**2)).\nAnswer: -8*sqrt(7) + 4214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45085 - 45085 - 426*z)*(3*z - 2*z + z)*(-4 + 3*z + 4).\nAnswer: -2556*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22a83 (base 12) to base 5\nAnswer: 2441332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001041 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**2*i**3*v**2 - 2*f**2*i**3*v + 2*f**2 - 2003*f*i**3*v**2 - 1726*f*i**3*v wrt v?\nAnswer: 10*f**2*i**3 - 4006*f*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 7*a + 9. Let s be o(-6). Let r(v) = -71*v + 570. Let l be r(8). Solve -u = s, 6 = 2*t + l*t - 2*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**4 - 3*b**3*i - 140632*b*i - 2*i + 1041722 wrt b?\nAnswer: 4*b**3 - 9*b**2*i - 140632*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*p, 8 = 5*p - 7*p. Suppose o*y = 20, 0 = 3*b + 3*y + y - 11. What is the second smallest value in -1\/4, b, 0.01?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 91 + 48)*(-15*h - 18*h + 31*h) + (h + h - h)*(-4 + 1 + 2).\nAnswer: 225*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-286)*4459\/(-15435).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 343557915 to the power of 1\/2, to the nearest integer?\nAnswer: 18535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -843*j - 521. What is the remainder when v(-7) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208\/8*(-7)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5068411427 - -176?\nAnswer: -5068411251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a - 29*a**2 + 23*a - 1 + 31*a**2)*(1 - 1 - 5).\nAnswer: -10*a**2 - 60*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -20*c + 8. Let k be n(-3). Suppose k = -x - 0. Let f be (1\/(-6))\/((-153)\/x) - 0. Sort 4, f, 0.1.\nAnswer: f, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 9*v - 4 = 0, -3*w = -4*v - 22. Solve 0*x + w = 3*x - 3*j, 5*x - 3*j = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (92\/(-552))\/((-2)\/(-9))*(-160)\/450\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-184)\/20 - -4)*-10. Let f be 5\/(5 + d\/(-10)). Put f, -1, -5, 5 in decreasing order.\nAnswer: 5, -1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 30*k**2 - 81*k + 9. Let j be t(27). Is 73 a factor of ((-5)\/2)\/(j\/(-3942))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o. Suppose -4*i - i = -4*x - 20, -15 = -3*x. Let t be 15\/2 - 0 - 4\/i. Let l(r) = 23*r - t*r - 13*r. What is l(v(j))?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 3*y**2 - 3*y + 3. Let m be o(-4). Let a = 950 + -918. Which is greater: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/3? (a) -0.2 (b) -3 (c) 5 (d) -1\/10 (e) 1.859 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5160 + 11060. Round s to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/60 + 17*o**4\/24 + 4*o**3 - 35*o**2. Let x be c(-15). Calculate the remainder when (-1713)\/x - 1\/(-2) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 107\/2 (b) 0.5 (c) -0.1 (d) 1.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759537733.\nAnswer: 523, 1452271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.99 take away 44.65?\nAnswer: -70.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and -16050598.\nAnswer: 786479302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4960553.\nAnswer: 13, 37, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 - 8*t**2 - 5*t - 497. Determine c(0).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3106 divide 1334079802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 2\/175 (c) -4 (d) -1 (e) -323\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0308301 rounded to four dps?\nAnswer: 0.0308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 311729 and 311731 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10519.12388 rounded to the nearest 100?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 84 = 42. Let s = 7 - 4. Let i = -7\/6 + 55\/42. What is the smallest value in n, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-5\/9)*(t**(-2))**(11\/6) assuming t is positive.\nAnswer: t**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -337, -680, -1025, -1372, -1721?\n\"Answer: -l**2 - 340*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -186729, -186721, -186707, -186687?\n\"Answer: 3*t**2 - t - 186731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)*x)\/x)**(-1\/30)*(x**2)**(3\/16) assuming x is positive.\nAnswer: x**(143\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + 41. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24.556 and -317.555.\nAnswer: -342.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287487 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1530092 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 173173\nAnswer: -173194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 5*m - 5*s - 85, -5*s + 15 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 209 = -17. Let v be ((-18)\/4 + 1)*u\/(-28). Let d = -6 + 6.4. Which is the closest to 1\/4? (a) v (b) -1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**1)**36\/(d**(-1))**(-4\/23) assuming d is positive.\nAnswer: d**(-4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/10 + 10\/25. Let d(o) = -o**3 + 7*o**2 + 20. Let q be d(i). What is the highest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.55954?\nAnswer: -0.111908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 7\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*y**3 - 75*y**3 - 2*y + 4*y.\nAnswer: -146*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-2 - -3) + (8 - 12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**2 - 10*y - 17. Let r(u) = 1. Let j(x) = x**3 - 8*x**2 + 7*x + 4. Let t be j(7). Let p(s) = t*r(s) - o(s). What are the prime factors of p(-6)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**4 + 3*g**3 + 12*g**2 - 21*g + 15. Let w(k) = 6*k**4 - 7*k**3 - 23*k**2 + 43*k - 29. Let f(s) = -5*d(s) - 3*w(s). Determine z so that f(z) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31962 or 4\/33?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by (18\/21)\/(2\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/15*9\/(-3). Let n(r) = 9*r + 48. Let l be n(d). Solve -l*g - 37 = -3*w + 2*g, 4*g = -3*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tuuutuutttuut?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 = -5*z + 3*z, -3*z = -4*x - 8. Let f be 230\/(-4)*24\/(-5). Suppose 4*o - 5 = 11, -2*q - z*o + f = 0. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - 5*n)*(24 - 24 - 8*n) - n**2 + 3*n**2 + 3*n**2.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 475526789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1.9 (c) -2\/9 (d) 8\/3 (e) -0.07232\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 878260 + 1?\nAnswer: 878261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*c + w, -2*c - 148*w = -153*w - 36 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*v - 100*t + 99*t - 3 = -125*v, 3*v - 5*t = -75 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 46*p - 48*p + 20, p = -3*r - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3613, -2069, -523, 1025, 2575, 4127?\nAnswer: 5681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**3 - 32*g**3 + 55*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 + -0.33. Let n = -0.04 - m. Which is the third smallest value? (a) 3\/4 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 43.1. Is -74 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*i*q*w**2*x + 3*i*w**2 + 3*q*w**2*x + 16*w**2*x wrt i?\nAnswer: 20*q*w**2*x + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*k + 3*w, 4*k - w + 5*w = 20. Let n be 1\/(-2)*184\/12. Let b = n + 121\/15. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -22, -65, -144, -271, -458?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*t = -4*l - 360, 7*t + 4*t + 4*l = 13*t + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + d - 2*d)*(d**2 - 4*d**2 + 2*d**2) + 58*d**3 - 6*d**2 + d**2 - 29*d**3 in the form v + g*d**2 + o*d + a*d**3 and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -0*s. Suppose s*k = 14*k - 42. Suppose -63 - 40 = -k*t - w, -3*w + 3 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**6\/360 - f**4\/12 - f**2. Let l(i) be the second derivative of w(i). Let o = -2 + 4. What is l(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 8 + 15. Let x(g) = -g**2 + 23*g + 26. What is the units digit of x(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2. Let i(b) = 2*b + 10. Let w(x) be the second derivative of -x**2 + 60*x. Let f(y) = -3*i(y) - 15*w(y). Give o(f(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 5841628.\nAnswer: 163565584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -60?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -46*n**2 + 65*n + 22. Determine v(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Solve -u*b - 2*l = 3*l + 5, 5*l = -5*b - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92379100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 495\/1815 + 141395091\/33. What is p rounded to the nearest ten thousand?\nAnswer: 4280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 2*f. Suppose 5*k - 3*k - 6 = f. Suppose 2*d = k*d - 20. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 7*z**2 + 2*z**2)*(1090 - 2332 - 267).\nAnswer: 3018*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a**2 + 19*a. Let u be f(9). What is the common denominator of 393\/9*(-2)\/(-8) and (-8)\/44 - (-873)\/u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = 1, -109 = -3*n - q. Let v = 346 + -274. Calculate the highest common divisor of v and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28394280*f**4 - 4815321*f**2 - 3*f wrt f?\nAnswer: -681462720*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 4*f**2 + 4*f**2)*(-1 - 2 - 1).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let y be (h + 4 + 1)*1. Let k(n) = -n**2 + 7*n - 2. Is 4 a factor of k(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*i - 38, -3*i = 4*x + 10 + 21. Let p = i - -9. Solve -9 = 2*t - c, p = -3*t - 2*c - 0 + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 5515565\nAnswer: 9\/1103113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 - 6*h + 13. Let b be o(4). Suppose -b*j = -0*j - 510. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2126 + 2264 + (-448)\/2?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**7\/8820 + p**6\/840 - p**5\/210 + 5*p**4\/12 - 2*p. Let f(s) be the third derivative of b(s). Solve f(g) = 0 for g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 + 3)*(0*a**2 - 2*a**2 + 0*a**2).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 24135957669*o - 3*o**2 - 1 + 24135957669*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-5 - -10)) + (83 - 40) - -9\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 + 182*k**2 + 471*k + 397. What is f(-58)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**7\/1260 + f**6\/120 + 167*f**5\/360 - 11*f**4\/3 - 1936*f**3\/9 + 477*f**2. Factor q(d).\nAnswer: -(d - 11)**2*(d + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194198 - -96\nAnswer: -194102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdpc when four letters picked without replacement from rdrcrprrdrddrrc?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 530*p - 103*p + 12996 + 16643 - 2311 for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/19536 and -79\/1988787.\nAnswer: 350026512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3695 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -401, -922, -1651, -2588, -3733, -5086?\nAnswer: -6647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/375*(-7)\/28?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 70. Let f(y) = 4 + 814*y**2 - 1628*y**2 - 1 + 813*y**2 - 2*y. What is f(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 5*x + 3. Let v(i) = i**2 + 6*i - 3. Let t(z) = 3*f(z) + 2*v(z). Let j(s) = -7*s**2 - 5*s + 5. Determine 3*j(c) - 5*t(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11038037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/20 - 9\/20. Let b = -16.864 - -0.164. Let p = b - -17. What is the nearest to w in -5, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 20*n - 2. Let a be d(1). What is the common denominator of 45\/33*(-2)\/3 and (1\/(-5))\/(3\/a)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:17 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4001*s**2 - 3998*s**2 + 4*s**4 + 7993*s**2 - s**3 to p*s**2 + b + w*s**4 + r*s + d*s**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 212 (c) -1\/2 (d) 3\/22 (e) 1.5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/23)\/(l\/(l**10\/l*l)))**18 assuming l is positive.\nAnswer: l**(3762\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 29 - 66 + 125 + 49 - 6*o - 69.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31271, -62580, -93889?\nAnswer: -125198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4764 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -224*r**2 + 4*r - 4. Let u be t(1). Is (-1225448)\/u + 2\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iikaaiikkiaiaaki. Give prob of sequence aika.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*v + 78*v + 204*v + 7398 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b**3 + 82*b**3 + 53*b**3 + 53*b**3 - 298*b**3 + 50*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 2, 0.2, 0.22, -0.1 in ascending order.\nAnswer: -0.1, 0.14, 0.2, 0.22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3230 + -3227. Solve -12 + 8 = -2*r + t, o*t + 10 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -100 and -25.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 48 = -0*i. Solve -j = -3*j - i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.705944 rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 694.\nAnswer: -39\/694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7946.18 minutes to microseconds.\nAnswer: 476770800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*g**2 + 105683 - 2*g - 105683 in the form f*g**2 + h*g + n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12884893*q**4 - 1546826*q - 17 wrt q?\nAnswer: -154618716*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + 17*s + 15*s + (0 - 5 + 4)*(0 + s + 0 + (0 + 2 - 1)*(-s + 2*s - 2*s) - 2*s + s - s).\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102 + -22020?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.9 + -18. Let p = c + -6.9. Let u = 2 - 1. Sort 0.3, u, 0.2, p in descending order.\nAnswer: u, 0.3, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 691019, 690997, 690937, 690821, 690631?\n\"Answer: -3*a**3 - a**2 + 2*a + 691021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 4*o - 4296 = 13*t, t - 1078 = -3*o. Let w = -731 + t. Is w a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63144232 divided by -29912\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3867 + 66. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + n + 7 = 0, 209*o - 5*n = 207*o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Suppose -32 = -9*w - 23. Solve -w = -s - l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1 + 370*s + 380*s - 751*s. Let l(q) = -16*q - 5. Give -l(p) + 4*o(p).\nAnswer: 12*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o**(-3\/7))**(-6\/25) assuming o is positive.\nAnswer: o**(54\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1948797 at least -52\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49654577.56 rounded to the nearest 10000?\nAnswer: 49650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.9 and 1636577101.1.\nAnswer: 1636577105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-3))\/16 + (-62)\/8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**3 + 32088*b**2 - 85803312*b + 76479352096 = 0.\nAnswer: 2674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - (-10 - -4)) - 18 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u - 9. Is q(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-5)\/(-140))\/((-8)\/14).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410543876 to the power of 1\/2, to the nearest integer?\nAnswer: 20262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 253946, 254183, 254420, 254657?\n\"Answer: 237*o + 253709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11572 + 16473. Calculate the highest common factor of 29 and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-8 - (3 - 3)). Let o = n - -26. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56520 divided by 60?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*n**3 + 612*n - 612*n + 548*n**3.\nAnswer: 661*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, h: 1, w: 4, r: 2}. What is prob of picking 1 h and 2 r?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 2*v**2 - 2*v + 11. Calculate z(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5059374 and 45503734.\nAnswer: 50563108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 2*u**2 - 3*u + 5. Let w be f(2). Let x = 19 - 18.7. Let m be (-1)\/(-1) - 2\/(-2). Which is the third smallest value? (a) x (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/3 and 75\/2168?\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (14\/140*-7)\/(21\/(4725\/36))\nAnswer: -35\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:44 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-35)*i*i**(2\/55))\/(i\/(i*i*i**(2\/7)*i*i*i*i)*i\/(i**(6\/5)\/i)) assuming i is positive.\nAnswer: i**(-11349\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2049111 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/l**1*l))**(-26)\/(l*l*l*l**(-1))**9)**(-19))**(8\/7) assuming l is positive.\nAnswer: l**(-1216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**7\/168 + b**6\/360 - 7*b**3\/6 + 10*b**2. Let q(r) be the first derivative of f(r). Calculate q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - -2) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 55*z + 15700. What is y(104)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oofdffdofww?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 230718.8l?\nAnswer: 230718800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 191?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582719?\nAnswer: 3, 19, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*r + 111*r - 10*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from {r: 2, u: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 4. Let p be n(5). Suppose 5*o + 27 = -4*a, -4*a - p = -3*o + 2*o. Let z = -2 - a. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**2\/8 - 7977*c\/8 - 1995\/2 = 0.\nAnswer: -1, 2660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 3*l**4\/4 - l**3\/6 + l**2\/2 + 6354*l. Suppose -5*i - 3*j = -4*j - 7, 5*i - 11 = 3*j. What is h(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1890, -3818, -5746?\nAnswer: -7674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 249 + -420555?\nAnswer: -420306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*u + 363 = -45 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 9. Give v(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 559440 and 943056.\nAnswer: 33006960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27134691.\nAnswer: 3, 29, 61, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - 18.96. Let u = -26 - i. What is the third smallest value in 0.1, u, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -4, -11, -16, -19, -20, -19?\n\"Answer: f**2 - 12*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22821 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2340 is divided by 1164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dndzrddnnzz. What is prob of picking 1 z and 1 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -43*h - 903. Let t be l(-21). What is the nearest to -2 in t, 219, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0.4, -4, 0.1, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15695.3445 to the nearest integer.\nAnswer: -15695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1396*w**2 + 214*w**5 + 411*w**2 - 6*w**3 + 6*w**3 - 465*w**2 wrt w?\nAnswer: 12840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(18)\/sqrt(324)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27345393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 7*s + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -245764, -245238, -244712, -244186, -243660?\n\"Answer: 526*x - 246290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67\/76 + -12\/19. Let k = -0.7 - 0.3. Put l, k, -3 in descending order.\nAnswer: l, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2098\/3095?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v - 642 + 191 = 668 + 267 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*b**2 + 5083*b - 112*b**2 + 51*b**2.\nAnswer: -2*b**2 + 5083*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1476602, -1476601, -1476600?\nAnswer: -1476599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 10741787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/1925)\/(((-105)\/20)\/(22\/(-16)))?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 742 + -742.1. Let d = -0.074 - 4.926. Suppose 3*c = 1 + 5. What is the nearest to v in d, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-five quarters of a microgram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 366*b + 5508. What is g(-197)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1529, 5953, 13283, 23519, 36661?\n\"Answer: 1453*k**2 + 65*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microsecond in nanoseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 1. Let i be z(-2). Let x be 112\/(-24)*i\/2. Suppose 5*u = x*u - 26. Calculate the remainder when 25 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174422, 341315, 508208, 675101, 841994?\nAnswer: 1008887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 2. Let i be w(5). Let a(m) = -3*m**2 + m + 2. Let b(n) = 5*n**2 - 3*n - 4. Let o(r) = i*a(r) - 4*b(r). Does 18 divide o(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - 2*t**2 + 7*t**2 - 5*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15454?\nAnswer: 2, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 - 11) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10064529?\nAnswer: 3, 239, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = 52. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/7 + 1044*a**2\/7 - 163392*a + 195208448\/7 = 0.\nAnswer: -1114, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - 2*s + 5*s)*(-101007*s + 100967*s + 10 + 7) in the form l*s + o*s**2 + u and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.24 (b) 1\/7 (c) -0.4 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 3 (c) -0.03 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -21010021?\nAnswer: -21010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 192*w + 196.\nAnswer: -4*(w - 1)*(w + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -384*m**2 + m + 1278 wrt m?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) - -55*8\/100. Solve d*l + 4*x = 16, -3 = -l - 2*x + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*d - 55. Suppose 0 = 4*w + d - 29. What is the tens digit of (-706)\/(-4) + w\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.6\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/20295*-30*41.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 6 = 0, -19*z + 4*g = -23*z - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-3))\/((-1)\/(-5)))\/((-107)\/321).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + 204\/10. Let n(h) = h + 20 - t - 5*h. Let z(w) = -w**2. Calculate z(n(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5402341963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/4 + d**3\/6 - 3*d. Let r(h) = 48*h**2 + 15*h. Let f(w) = 33*p(w) - 2*r(w). Find the second derivative of f(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)*(-9)\/3. Let h be 0 - 1 - s\/1. Solve -2*u = 5*z - 23, u + z - 6 = -h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518417370.\nAnswer: 2, 3, 5, 5760193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2233836*n**2 + 5949124*n wrt n.\nAnswer: 4467672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4340*c**3 + 4*c - 2*c**2 + 4338*c**3 - 2*c to a*c**3 + s*c + i*c**2 + u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 12. Sort 5, b, 1, 0.\nAnswer: b, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/(-156) + 77058\/39 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(192)*3*2)**2.\nAnswer: -288*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 55 (b) 49 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -699*o + 2635*o - 477*o - 219*o in the form k*o + a and give k.\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1542*d**2 + 1557*d**2 - 3109*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 217687 and 5.59?\nAnswer: 217681.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19252 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -204691, -409381, -614071, -818761?\n\"Answer: -204690*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -487 + 508. Suppose 4*w - r*z = -16*z - 100, 4*z = -5*w - 166. Is w smaller than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172 + -863\/5. Let o = 1 + 0. Put l, 1\/3, o in increasing order.\nAnswer: l, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -1\/2, 1, 0.3, 325116?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from nsnqqqssksnmsqks.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*l**2 + 37*l**2 + 307*l**2.\nAnswer: 415*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 23 (b) -24\/19 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 17*d**2 - 36*d - 106. Calculate l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.443064 centuries in years?\nAnswer: 444.3064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 24*j + 19. Let q(d) = -d**2 + d + 1. Let b(k) = 2*q(k) + y(k). Is 16 a factor of b(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0174 (b) -0.1 (c) -13157 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 4 = 9*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528 a factor of 1155663432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*a**3*m**2*u**2 - 34*a**3*u**3 + 2*a**2*m*u - a*m**2 + 18*a*u**2 - 3*u**3 wrt a?\nAnswer: -78*m**2*u**2 - 204*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, v: 4, o: 1}. What is prob of sequence vovv?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 2*u**3 + u**3)*(-u + 3*u**2 + u).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -3, -2\/209, 0.1, 0.5 in decreasing order.\nAnswer: 53, 0.5, 0.1, -2\/209, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 4901.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5 > 0.06993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4\/3 - 58*m**3\/3 + 42*m**2 + 58*m\/3 - 124\/3 = 0.\nAnswer: -31, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*d**4 + 5)*(-2196 - 2784 + 4583).\nAnswer: 794*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 5*r + 6. Suppose 0 = -5*j - 11 - 144. Let k = 38 + j. Calculate i(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(3\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 - 3*o**3 + 3*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24069097 divided by -55\nAnswer: -24069097\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-3)\/(-4))\/(36\/12))\/1. Let l = 1\/13161 + -4487906\/65805. Let i = 205\/3 + l. Which is the third smallest value? (a) -0.4 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 2. Calculate the smallest common multiple of b(-3) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -153011, -151250, -149489, -147728, -145967, -144206?\n\"Answer: 1761*f - 154772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-21) + (-10896)\/(-56). Suppose 3*a = -a + 3*r + y, 5*a + r = 239. List the prime factors of (-3)\/18 + 4040\/a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1662 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 33, 80, 149, 246, 377?\n\"Answer: n**3 + 2*n**2 + 18*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3428, -5370, -7312, -9254, -11196, -13138?\n\"Answer: -1942*p - 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563009 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2417.743 litres?\nAnswer: 2417743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -z + 37. Let p(c) = 12 - 31 - c + z + 0*c. Let w be p(-4). Solve -g - 8 = w*n, 3*n + 3*g + 9 + 3 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551 + 1651 - 90*b**3 - 552 - 548.\nAnswer: -90*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 + -1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 13. Sort l, -6, -5 in ascending order.\nAnswer: -6, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1343*m + 309*m - 28952 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 2, 0.3, 6, -5, 1\/91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*u + 29 = -193, 2*u = 0. Suppose -s = -34 - d. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(4 + (2 - 4)). Let k = y + 23. Solve 29 = 4*w + 5*o, -2*o - 3*o = -4*w - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000424394985 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -822 + 811*a**4 + 42062*a - 42063*a + 1123*a**4 wrt a.\nAnswer: 23208*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(-2*sqrt(7)))\/(sqrt(48)\/sqrt(3) + sqrt(16) - sqrt(16)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, -1406, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.134509 to 3 decimal places.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 22*i + 5*d = -394499, -5*d - 493120 = -5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1172574 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 309767*k**2 + 2*k + 204592?\nAnswer: 619534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -242 times 0.1\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 2*j**2 - 4 + 19 + 14.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 3*o**2 + 2*o - 6. Let y be c(3). Let x(p) = -1 + 5 + 2*p - p + y*p. Give x(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2683, -5367, -8051, -10735, -13419?\nAnswer: -16103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -311, -314, -317?\n\"Answer: -3*y - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -860 + (-6)\/(-27)*27. Is o at most as big as -853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -519, -517, -513, -507, -499?\n\"Answer: w**2 - w - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4214 and 2781842?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18400 + 17 = 3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21896.\nAnswer: 2, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/7776 and 55\/4.\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103384 divided by -70?\nAnswer: -51692\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -9. Let m = 5.4 + -5.7. Which is the third biggest value? (a) f (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8.4. Let b = 104.05 - 104. What is the closest to b in 2, 2\/15, 1\/4, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 266815612 + 266815612.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 249.\nAnswer: 1\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 197?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12342683*t + 7931452 wrt t.\nAnswer: -12342683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 - 90473815*v**3 - 545700807026145*v**2 - 1097148025450303052085*v - 2194293868098101790030 = 0. What is v?\nAnswer: -6031587, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -a46e (base 16) in base 5?\nAnswer: -2321334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2655 to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -859.4 - -854.4. What is the nearest to -1 in -1\/11, -1.9, h, 0.02?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - 7\/(21\/6). Let j(u) = 3*u - 20*u - 26 - g*u - u**2. What is the tens digit of j(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232 or -358394?\nAnswer: -358394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 300443 (base 5) in base 10?\nAnswer: 9498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 215.13548?\nAnswer: -214.63548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12250 + 61947 = g, -148391 = -2*g + 3*s. What is g rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1943970 is divided by 6170.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -668\/7 or -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -21. Suppose -4*l + 5*l - 2 = j. Let r(y) = 2*y**2 + 16*y + 34. Let g be r(-5). Solve -3*o = -4*x, -l*o = g*x - 0*o - 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1380, -2754, -4128, -5502, -6876, -8250?\nAnswer: -9624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let m be (-1)\/(3\/6) + r. What is the units digit of 1\/m*(-1 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -2\/21, -0.4, -11, 0 in descending order.\nAnswer: 0, -2\/21, -0.4, -11, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**3\/6 + 90*f. Let c(l) = -l**2 + 0*l**2 + 0*l**2. Calculate m(c(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.094636273 to 5 dps.\nAnswer: 0.09464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 o when three letters picked without replacement from awaktdtoadktkwtw.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 10322154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 14*b**2 + 24*b - 14. Let q be o(12). Let a be q\/35 + (-86)\/10. What is the tens digit of (-219)\/a + 2\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/w*w\/(w\/(w*(w**4\/w*w)\/w)))\/(w**5*(w\/(w\/w**(-1\/11)))\/w) assuming w is positive.\nAnswer: w**(67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 2*u**2 + 3*u + 4. Let k be r(3). Suppose 2 = z + 2*g - 0*g, z - k*g = -4. Solve 2*o - 4*i - 5 = o, z = -2*o + 5*i + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36260684 or -36260685?\nAnswer: -36260684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 17*a**2 + 29*a - 29. Let q be b(10). What is the greatest common factor of 99 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9476 + 9475. Do -60\/427 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 4, b: 1, y: 3, h: 2}. Give prob of sequence vy.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 10 - 15 + (-4 + 3 + 0)*(2 + 0 - 4) - 4 - 1 + 0)*(24*a**3 + 42 - 42) in the form y*a + m*a**2 + u*a**3 + j and give u.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*v**2 - 70*v**2 + 106*v**2 + (3 + 2*v - 3)*(1 - 1 + 2*v) as t*v**2 + w + i*v and give t.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3 = 2. Let i be (v - 3)*(-74)\/4. Suppose 0 = -2*q + 29 + i. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30352954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c\/c**(1\/19))\/c)**(-17)*(c\/((c\/(c\/((c*c**(-3\/8)*c)\/c)))\/c))\/(c**(1\/2)\/c) assuming c is positive.\nAnswer: c**(-4747\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*w**2 + 49*w**2 + 92*w**2 + 45*w**2 + 45*w**2 - 280*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 14933 = 2*c + 1944, 0 = -5*a - c + 28111. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -475.82 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4497345*d**3 - 4563132*d**2.\nAnswer: 26984070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, k: 2, w: 3}. What is prob of sequence wk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*j - 0*j + 73, 2*x + 76 = -4*j. Let g = 135 - 809\/6. Which is greater: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from ddddrddrdrdrdr?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13660*h*u*v**2 - h*u*v - 202*h*v**2 + 2*h*v - 352*h + 2041*u - 2*v wrt v?\nAnswer: -27320*h*u - 404*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*b + 6 - 6)*(-31 + 7*b + 31) + (-2*b**2 - b**2 + 2*b**2)*(-2 + 5 - 4))*(0*b - 4*b + b)*(-64 + 11*b + 64).\nAnswer: -1419*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-11)*2\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 - 587 = -64*k + 335 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 214.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/12 - (-1790)\/180*3. What is the second derivative of -m*j**2 + 14*j + 14*j + 1 - 14 - 36*j**2 - 24*j wrt j?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6493*v - 6506*v + 25941*v - 6476*v - 6510*v.\nAnswer: -44*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r + 36*r + 0*r)*(-2*r + 1 - 1 + 2*r - 5*r + 2*r - 3*r + r + 0*r + (-r + 4*r - 4*r)*(-2 + 2 + 1) + 2 - 2 + 2*r + (0*r + 3*r - 2*r)*(3 - 6 + 2)).\nAnswer: -230*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d + 12 = 2*r, 17 = -d + 3*r. Let q be 1*((-10)\/(-4) + d\/(-4)). Solve v + 1 = -3*s + 2*s, 5*v - q*s = 35 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 404 and 1352794.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/112444 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3*0)\/(-3). Suppose -p - 2*p + 18 = a. Suppose -4*v - g + p*g = 25, -20 = -4*g. Put v, 4, -5 in decreasing order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 35 = 71 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + 0.07. Let w = t + 0.05. Let o = w - 0. Round o to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17866667*h**4*s**3 - 3*h**2*s**3 - 1069040*h**2*s wrt h?\nAnswer: -428800008*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 - 2*y**2 + 4*y**2)*(2*y + y - 7*y) to the form r*y**2 + l*y**3 + n*y + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -2 + (-1)\/3*(18 + -18)\/(-9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405817917 - -0.2.\nAnswer: -405817916.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -80*b**2 + 32*b + 4*b**5 + 59*b**3 + 5 + 13*b**3 - 5 - 28*b**4 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:13 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/502 and (-6)\/33 + 3367\/308.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*p + 119, 3*p = p - 5*o - 68. Let u = 39 + p. Let s = 0 + 5. Solve u = -5*l + 3*d - 12, -8 = -s*l + l - 2*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -601 and 24.53.\nAnswer: -576.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, and 1 a when three letters picked without replacement from aarrrrmmmraarrar.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -0.1. Let u be 3\/15*(-25)\/2. Let j = -2 - u. Which is the second biggest value? (a) 5 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c - c + 0*c)*(2 - 2 + 1) + 4*c - 2*c - 4*c)*(-5*c + c + 0*c**2 - 2*c**2).\nAnswer: 6*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - 75*v + 148 - 80 to the form l + w*v and give w.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*o*q**2*x**2 - 5*o*q**2 - 79*o*q*x**3 + 2*o*q*x**2 - o - 7706*q**2*x**3 - 3*q**2*x - 2*x**2 wrt x.\nAnswer: -474*o*q - 46236*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 238 - 125. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 987*o**3 + 4*o**2 - 32*o - 36. Calculate g(-1).\nAnswer: -987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -23. Let z(x) = -x + 19. Let n be z(s). What is the highest common factor of 76 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50361759?\nAnswer: 3, 7, 114199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -100013, -100135, -100339, -100625, -100993, -101443, -101975?\n\"Answer: -41*y**2 + y - 99973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bexxbsxx. What is prob of picking 1 e and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 - 85*q + 14. Let p be x(12). Let j(r) = 16 - 43 + 4*r**p + 27. Let z(t) = -15*t. Calculate j(z(l)).\nAnswer: 900*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a5a (base 15) in base 5?\nAnswer: 1312320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.1, 0.2, -2\/5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 3*u - 80. Suppose 4*l + a = 31, 2*l - a + 1 = 4*a. Let r = u - l. Solve -r = 3*x - x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52608\/(-864) + (-86 - -149)?\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g. Let h(l) = 13*l**2 + 5*l + 5. Let p(f) = 6*f**2 + 2*f + 2. Let v(z) = -2*h(z) + 5*p(z). Give v(t(s)).\nAnswer: 196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*c + 2*y, 1 = 3*y - 11. Suppose -4*u = u - 55. What is the remainder when c is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.25 (b) 0.28 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.95 less than -3?\nAnswer: -5.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + s + 112425 = 0, 168640 = 3*u - 25*s + 21*s. Let o = u + -34785. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3 + 0*b**2 + b**2 - 3*b - 4. Is x(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6507103203.\nAnswer: 3, 61, 11852647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/33 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 114?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 954 and 4929.\nAnswer: 29574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25 + 75*t + 197 + 19*t + 3*t - 70 wrt t.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, d: 4, w: 4, l: 3}. Give prob of sequence wwd.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Let h be (3 + 4\/(-2))*u. Let v(j) = -j**3 + 4*j**2 + 5*j + 1. What is the units digit of v(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 610 and 5246.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, 5 in ascending order.\nAnswer: 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/16)\/((-2)\/(-12)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**4 - 702621*t**3 + 20377947*t**2 - 137028735*t - 158109300 = 0.\nAnswer: -234236, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1\/2)*738. Let y = 3317\/9 - r. Let u be ((-1)\/(-1))\/(2\/6). Which is the nearest to -1\/4? (a) 4 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**4\/28 + 67*l**3\/7 + 57*l**2\/2 - 445*l. Factor s(t).\nAnswer: 3*(t + 1)*(t + 133)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3554, 6748, 9232, 10652, 10654, 8884?\nAnswer: 4988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -12, -30, -58, -96, -144?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.469846 litres in millilitres?\nAnswer: 5469.846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t + 4. Suppose -36 = -6*k - 6*k. Let b(q) = -q**2 - 9*q - 7. Let y(j) = k*b(j) + 5*z(j). Give y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 7*u + 4. Let m be g(6). Is (-41)\/(-3) - m\/(-3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - sqrt(104)*-1*-2 - (-2*sqrt(104) - sqrt(104))*5)\/(sqrt(16)\/(sqrt(2) - sqrt(4)\/sqrt(2) - sqrt(2)) + (sqrt(96)*1 + sqrt(96))\/sqrt(12)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/7 - 120*c + 841\/7.\nAnswer: -(c - 1)*(c + 841)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -134322 (base 5) in base 14?\nAnswer: -2071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 619*x + 620.\nAnswer: -(x - 1)*(x + 620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/131 or 1?\nAnswer: 3\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111211 (base 3) to base 13.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 117*f = -82*f + 1985499. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209 + 212. Let s(x) = -2*x**2 + 3*x - 3. What is s(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 26*i**2 - 64*i + 29. Let s be ((-1965)\/131)\/((-10)\/12). What is the hundreds digit of q(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6 - 14)*(-1400 + 41*f + 1401 - 16*f).\nAnswer: -25*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {d: 1, j: 2, n: 1, w: 8, y: 2, a: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 596 - 594. Let d(w) = 16*w**2 + 3*w - 7. Let x be d(k). What is the greatest common divisor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 34. Let f be -9 - (-8 + 5) - ((-75)\/10 + 1). Which is the closest to 2\/3? (a) f (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*y - 5360 = -p, 1078 = p + 3*y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 g when four letters picked without replacement from {h: 3, j: 6, x: 2, g: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 4*u**2 - 2*u. Let n(b) = b. Let w(i) = k(i) + 4*n(i). Let l be w(-2). Let c = 5 - l. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*b*i*k**2 - b*i*k - 142827*b*k**4 + 3*i*k**3 + 1170*k**2 wrt k?\nAnswer: -3427848*b*k + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = w - 2*l, -l + 4*l = -5*w + 668. Does 34 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 2*v + 0*v)*(4 - 4 + v**2)*(-4*v + 0*v - v) as z*v + d*v**4 + n + x*v**3 + u*v**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 + -1. Let p = o + 0.3. Let c = 0 + 0.1. What is the nearest to 2\/5 in p, c, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000088 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/(9\/24). Let j(t) = t**2 + 1. Let k be j(4). Suppose 491 + k = f*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30210\/4799 - -12992011507\/2063824347. Let k = h + 74572479301\/19782438. Let g = -3769 + k. What is the common denominator of g and 21\/20?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 16, k: 2}. What is prob of sequence aaka?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1708 and 64996964.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4995660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 3*t - t + (-5*t + 4*t + 2*t)*(-2 + 0 + 1))*((5 - 4 + 1)*(2 - 1 - 2) - 70 - 32 + 24)*(3*t - t + 0*t) to the form j + o*t**2 + d*t and give o.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 20773317*i + 20773317*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6682 or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -288*s - 869. Determine p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200a (base 15) to base 6.\nAnswer: -1121401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (4 + -15) - 15) + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x - 28 - 26 - 9*x + 50 + 2*x**2. Suppose r + 2 = 0, 4*w = 3*r - 8 + 2. Calculate i(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208656 is divided by 5362?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*i**3 - 307*i + 307*i)*(-2*i - 10*i - 8*i) to d*i**3 + k*i**4 + v*i**2 + f*i + n and give k.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2088*m - 1197. Let a(x) = -161*x + 92. Let g(w) = 27*a(w) + 2*r(w). Let d be g(-5). What is the highest common factor of 105 and d?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -33*q + 24. Let y(i) = -i + 8. Let x(w) = a(w) - 3*y(w). Let h(v) = -v**2. Calculate h(x(t)).\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 46*t**3 - 39*t**2 - 46*t - 13. Calculate y(-2).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10200 - -10?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541618 is divided by 308310.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2 - 18*w - 56 = 0?\nAnswer: -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124853 + -624266\/5. Suppose 5*d - 15 = 5. Suppose -m - 10 = 3*r, -4*m - 15 = d*r + 1. Are m and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 223377 and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2571365396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 428490 and 3105?\nAnswer: 428490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {x: 3, b: 7, j: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - 26. Give o(-13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -26*(-2 + 6\/4). Is 2 + (-1 - z\/(-1)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214627147 to the power of 1\/2, to the nearest integer?\nAnswer: 34852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5595247 and -12200.\nAnswer: -5607447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.056 and 0.121.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -791\/92 + -15\/23. What is the common denominator of -41\/1924 and v?\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125851\/444 - 567\/2. Calculate the common denominator of -113\/96 and o.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/((-1410)\/(-240)) - 4*-2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.546 in -18, 3\/5, -2, -4, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -39*o**3 - 2389667*o**2 - 3615070*o - 1347984 = 0.\nAnswer: -61272, -11\/13, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v. Let n(r) = -8 + 6453*r - 6454*r + 7 - 12. Give g(n(m)).\nAnswer: 9*m + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Suppose -3*s - 2*u + 17 = 0, u = -1 + 11. Sort -5, k, 3, s in ascending order.\nAnswer: -5, s, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 42. Sort -4, v, -31 in descending order.\nAnswer: v, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from wzjjwjjizzjwjwjjjjz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, 3, 1, -95 in descending order.\nAnswer: 3, 1, 0.5, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, -2\/11, 0, -2, 0.2 in decreasing order.\nAnswer: 0.2, 0, -2\/11, -2, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g - 32*g + 33 = 0. What is the closest to 1 in 4, 0.031, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3 + 87. Let k(h) = h**2 + 19*h + 18. Give k(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (16\/(-4) - 0). Suppose 4*l + 14 = -v - 2*v, 24 = 2*v - 4*l. Solve j*z - 3*z = -v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15980 (b) 3\/5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**33*a\/(a*a*a*a**(2\/47)\/a*a))\/((a\/(a\/(a\/a**21)))\/a)**(36\/5) assuming a is positive.\nAnswer: a**(43042\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 35661.\nAnswer: 35667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/4127640 and -63\/88?\nAnswer: 4127640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54254 + 17233 - 33681 = -58*j. Calculate the remainder when j is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/9, 0, -0.78, 8 in decreasing order.\nAnswer: 8, 3, 0, -1\/9, -0.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*i + 557*i = -4*x + 17, 0 = -2*x + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46042, -185230, -417210, -741982, -1159546, -1669902, -2273050?\n\"Answer: -46396*m**2 + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) -5 (d) -1 (e) 63\/10 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 5*n**2 - 3*n + 14. Let v be w(-6). What are the prime factors of v\/(-3) + 212\/12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -42*u. Let p(o) be the first derivative of 0*o**4 - 4*o - 1 + 4\/5*o**5 + u*o**2 + 0*o**3. Differentiate p(y) wrt y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 = -9. Let v be 2\/(2\/43) + -1. Suppose v = 2*p + h*w, p - w = 9 + 22. Calculate the remainder when p is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + z**2 + 0*z**2 + (-3*z + 3 - 3 - 1 - 2*z + 1 + (6 - 5 + 0)*(-4*z + 2*z + 0*z))*(-2*z - 2*z - 4*z).\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110000110 (base 2) to base 6.\nAnswer: -21354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -47*n**2 - 8648*n - 119134. What is l(-169)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -2.02. Let g = 1.2 - 1. Which is the third biggest value? (a) 2\/23 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42\/13 - 268\/91. Let a = 0.88 - 0.47. Let f = -2.41 + a. What is the second biggest value in t, 3, f, 0.08?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15917300 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32632 + 2856?\nAnswer: 35488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, e: 1, r: 1, i: 2, f: 11}. Give prob of picking 1 f and 1 r.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 4*n**2 + n + 2. Suppose -3*q = -2*q - 5. Let v = 7 - q. Give x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 6.9. Let w = -4.4 - -11.3. Let r = l + w. What is the nearest to 1 in r, -2\/3, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-30)*2)\/(10\/25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/(-740))\/(7688\/775) and 85\/8?\nAnswer: 9176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*w + 19, 20 = 8*j - 3*j - 5*w. Let r be (3\/j)\/(14\/7580). Let o = r + -540. Is 1 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9*x**3 + 26*x**2 - 15. Let w(a) = -4*a**3 - 12*a**2 + a + 7. Give -6*o(b) - 13*w(b).\nAnswer: -2*b**3 - 13*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v. Let c(g) be the first derivative of -2*g**3\/3 - 15. Determine l(c(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 3, -5, 1.\nAnswer: -5, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14027338?\nAnswer: 2, 13, 47, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 82. What is the smallest common multiple of 21 and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0 - 1\/2*d**2 - 1\/12*d**4 - 3*d + 0*d**3. Let h(v) = -2*v**3 - 4*v**2 - 2. Calculate -h(w) + 4*t(w).\nAnswer: 2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*r = 457 - 2187 - 545 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (9\/8 - (-64)\/(-48)) + 22\/(-176)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308774 by 2.\nAnswer: 154387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*d - 202, 4*d - 44938*u + 276 = -44939*u for d.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*m - 34. Let s(t) be the second derivative of 41*t**3\/6 - 4*t**2 - t + 466. Is s(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22473 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -568100 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68297189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250074 and 2970.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + 1*5*sqrt(272)*6*-2*5*-1)**2.\nAnswer: 43200*sqrt(17) + 146880054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 3*q + 6. Let g be d(-5). Let j be 1150\/(-1900) - 2\/(-19). What is the closest to j in -2, -5, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o - 15 = 0. Solve -4*g + 0*a = o*a + 16, 5*a = -20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978988.\nAnswer: 2, 244747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + b = 177 - 165 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 156833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48*(-5)\/(-2)*((78\/(-15) - 9) + 15)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-25)\/(750\/48))\/((-21)\/5 + 5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7841382*h**2 - 60178474*h?\nAnswer: -15682764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*-1*(sqrt(192)*2*-3 + sqrt(192) + ((sqrt(192)*-1 + sqrt(192) + sqrt(192))*-1)**2).\nAnswer: -764 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (0 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1069*h - 124845. Give w(117).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 8*p**2 - 4*p + 49. Let m be y(-9). Let f(s) be the first derivative of 1\/20*s**2 + 0*s + 1\/6*s**3 + 2 + 1\/10*s**m. Let f(r) = 0. What is r?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*u**5 + 2*u**3 + u**2?\nAnswer: -3420*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 7}. What is prob of picking 2 f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-1\/2))*n))\/(n**(3\/8)\/n) assuming n is positive.\nAnswer: n**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2378705 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 21*u**2 - 67*u - 2. What are the prime factors of n(10)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29810219*z**5 - 59900038*z wrt z?\nAnswer: 596204380*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 + 19584*o**2 + 117756*o - 529416 = 0. Calculate o.\nAnswer: -9, 3, 4902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -344 - -364. Suppose -4*c = -u + 4. Solve -3*v = 5*a - 5*v - 18, c*v - 12 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 2*c**3 + 2*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -6089, -5.\nAnswer: -6089, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878089 = 6*g + 877885 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72 - -35?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/93 and -131\/198.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 78 = 0. Suppose -d + 23 = -k. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191635745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.03, 4 in ascending order.\nAnswer: -0.1, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-16)*33*1776\/(-6512).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 205 = -2*z, 198 = 2*z - 3*b + 7*b. What is the tens digit of (1 + z)\/((-54)\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -1, 3\/166, -4?\nAnswer: 3\/166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -2 (c) -26 (d) 0.4 (e) -7446 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -38, -57, -78, -101, -126?\n\"Answer: -y**2 - 14*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*193.9.\nAnswer: -6592.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5\/8 + 3*x**4\/2 - 3*x**3\/2 - 3*x**2\/4 + 15*x\/8 - 3\/4 = 0. What is x?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 + 14*k. Let g(u) = -21*u**2. Determine x(g(f)).\nAnswer: -1323*f**4 - 294*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 479\/5 greater than 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1879517, 3759101, 5638685, 7518269, 9397853, 11277437?\nAnswer: 13157021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.14, 3, 1\/8, 2\/9?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2*6\/(-32)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*t + 6*t = 4104736, 3*t = c + 1026184. Let m = -526184 - c. Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7273*t - 5. Let s be n(3). Let b = -14035 - s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 35381 (c) -0.3 (d) 20\/3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4668234*o**2 - 18508496*o wrt o.\nAnswer: 9336468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n - 8. Let i be (48\/(-28))\/(2\/(-7)). Suppose z - 2*k + i = 0, -3*z - k + 4*k - 18 = 0. Calculate the smallest common multiple of u(z) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/5)\/(39\/(-1170)) - (-2)\/1. Solve 0 = -t + y - 9, y + 4*y = a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/h**(5\/2)*h)\/h*h))\/h**(-11))**(-42))**(-3) assuming h is positive.\nAnswer: h**1575","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -581\/24 - -73\/3. Suppose 5*f + 5*d = 2*d + 9, 4*d - 12 = -2*f. Which is the smallest value? (a) f (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1 - 72\/(-56). Let p = -0.069 + -0.231. What is the closest to 2 in c, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 3*v**2 + 2*v. Let b be f(-3). Let p = b - -22. What is the smallest common multiple of 4 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 3530134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-2)\/(-112))\/(12\/48).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3529.67055 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-25)\/75)\/(((-48)\/9)\/4). What is the nearest to -1 in -3, k, 5\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136389712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 + 2044691.\nAnswer: 2045021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(847) + ((sqrt(847) + 0 + sqrt(847))*-1 - sqrt(847) - sqrt(847))**2 - sqrt(847)) - (1*(sqrt(847) + -1)*5)**2.\nAnswer: -88960 + 550*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12277.6 - 12278. What is the second smallest value in -5, z, 0.4, 6.7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n - 11070 = 2130. Let s = -315 - n. Solve -4*l + 3*c + 20 = -c, 3*l - s = c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13099259 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -43.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 13.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 136410 = -42*j. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1641 or -29.812?\nAnswer: 1641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*d - 54 - 306. What is the smallest value in d, -1, -1.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdh when three letters picked without replacement from hzhzzzhdzddddzh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 2, -9, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 11*j - 19. Let d be r(-6). Is 115 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -1, 3, 2 in ascending order.\nAnswer: -1, 2, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -74?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*o - 232 + 232)*(4 - 1 + 3)*(1 - 4 + 4) + 1 - 3*o - 1 to the form b + r*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -942?\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1561897413 divided by -1017.\nAnswer: 1535789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 6*f - 7*f - 38 - 46 + 109*f**2.\nAnswer: 109*f**2 - f - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = 84*q + h, 5*q - 45*h + 47 = -96*h + 47*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g*g**(-1\/4)*g**(3\/7)\/(g**0\/g))**(-1\/14) assuming g is positive.\nAnswer: g**(-229\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 17 = -37. Solve m = -s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -4 + (1*sqrt(3))**2 + -1)*6*5.\nAnswer: -60 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/6)\/4)\/(-3)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13743*k + 1166. Is u(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 1 = -86*n + 88*n, -8*n + 5*l = 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4703, 0, 43, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/110 and -119\/133850.\nAnswer: 1472350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127674 is divided by 336?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 4. Let h(m) = 1. Calculate 4*h(y) + l(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 65*w**3 - w**2. Calculate a(1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30545?\nAnswer: 5, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 158.104 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -9, -3, 5, 15, 27?\n\"Answer: s**2 + s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 10*v**2 + 33*v + 4. Let z(x) = 2*x**3 + 19*x**2 - 60*x - 8. Let w(i) = 11*r(i) + 6*z(i). Determine w(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/30 + 625*j**2. Let q(o) be the first derivative of -70*o**2 + 4. What is r(q(i))?\nAnswer: -39200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -35*a + 4. Let m be g(-5). Suppose -l + 3*d + m = -2*l, -l - 181 = d. Let z = l + 127. What is z rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 10:28 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l = 3*h - 18, 0 = 5*h - 15. Let v(m) = -m**3 + 9*m**2 + m - 10. Let c be v(l). Let q = 3 + 0. Put c, q, 1 in increasing order.\nAnswer: c, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402294623?\nAnswer: 421, 5706163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 40. Let v(p) = -p**2 - 8*p + 8. List the prime factors of v(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 8*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2947365*k**2*o - k**2 - 1231740 wrt o.\nAnswer: -2947365*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -17*b**6\/240 + 23*b**5\/60 + 13*b**4\/12 - 30*b. Let v(i) be the third derivative of n(i). Is v(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12*((-44)\/(-6))\/(-2). Suppose -3*n + 5*n - c = 0. What is the remainder when 43 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1062 + 1134. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29938552639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-10) - (-2 + 8\/6). Let c = 85 + -42. Let a = 45 - c. What is the smallest value in a, 4, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2330*l + 2*q - 10 = 2333*l, -4*q = -2*l - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111969368333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 7*x + 14. Let c be k(4). Let g be (-4 - -8) + -3 + 1. Solve -12 = -g*d - c*d, 4*d + 4 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2395 (base 11) to base 14.\nAnswer: 11d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-6) - -2)*-12. Let u be m\/15*(1 - 11). Suppose -3*x = -u*x + 9. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihd when three letters picked without replacement from hfihhfdhihdhhhi?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -122735624, -122735623, -122735622, -122735621, -122735620, -122735619?\n\"Answer: w - 122735625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.071 + 2.171. Let d = i + -2. Which is the nearest to 0.04? (a) -2\/11 (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b*b\/b**(-2\/17)*b)\/b*b)\/b)**33\/(b**(-10)\/(((b*b*b**1*b)\/b)\/b)))**(-2\/5) assuming b is positive.\nAnswer: b**(-3906\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 70566585 divided by -15\nAnswer: -4704439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.36 + 7.36. Let r = 7.6 - 0.6. Let d = n - r. What is the smallest value in d, 3, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.1711\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 8*m + 10. Suppose -3*g - 6*g + 18 = 0. Suppose -4*i - 31 = 3*d, 2*d - 8 = g*i + 4. Is o(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*u + 489*u - 252*u + 99 = 0. Let z be (-3)\/4 + 66\/56. What is the smallest value in -6, u, z?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + k - 224 = -0*k, -3*z + 3*k - 144 = 0. Let u = -40 - z. Calculate the lowest common multiple of u and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 480 - 401. Is a at least as big as 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-3*f**3 - 7*f**3 + 2*f**3) - 52*f**3 + 7*f**3 - 33*f**3.\nAnswer: -86*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60 + 20 - 50*r**3 + 39 + (2*r**3 + 2*r**3 - 2*r**3)*(5 + 0 - 4) + r - r**3 - r + r**3 + 2*r**3 - 5*r**3 - 2*r**3 + 0*r**3 + r**3.\nAnswer: -52*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 0.063, -1\/25?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m*((((m\/m**5)\/m)\/m*m)\/m)\/m*m*m)))\/m**3*m**(-3\/5)\/(m\/m**(1\/15)) assuming m is positive.\nAnswer: m**(-113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8*0.2551.\nAnswer: 0.71428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 + 201*g**2 - 515*g + 448. Give q(-103).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = 2*r, 5*r + 5*m + 58 = 3. Let d(y) = -y - 6. Let t be d(r). Put t, 0, 4 in decreasing order.\nAnswer: 4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 338*q + 678.\nAnswer: -(q - 678)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 392\/63 - 1\/(27\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*n - 17 = -4*n, -2*m - 3*n - 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 763667 + -32?\nAnswer: 763635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggfffgfffgfuff. What is prob of sequence ffff?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4369 + 4640. Solve 6*k + 295 = y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -0.4, 49\/4?\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3 - 5*l**2 + 3*l - l**3 + 4*l - 3*l. Let b be ((-276)\/(-115))\/(4\/(-10)). Determine m(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -895859, -3583436, -8062729, -14333738, -22396463, -32250904?\nAnswer: -43897061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91043 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u + 45*u = 36*u + 3692. Solve -12*j + u = 35 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-6)\/((96\/(-28))\/6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-9*x + 112 + 18 - 62).\nAnswer: 27*x - 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3353869?\nAnswer: 3353869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -125966770 to the nearest ten thousand.\nAnswer: -125970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*i - 123, -17*i - 16*i = 16*i - 46*i + 28*u - 771 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125071 by -1.\nAnswer: 125071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, 1, 0.0048712?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -914*v**2 + v + 2 - 909*v**2 - 4 + 1824*v**2. Let y(o) = o - 2. Give 4*w(g) - 3*y(g).\nAnswer: 4*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 382 + 2\/(0 - 2). Let l = g + -249. Suppose 0 = w - 4*y - 20, 5*w - l + 32 = -5*y. What is the least common multiple of 22 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886230321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u + 3*u)*(-1 + 1 - u)*(4*u - 9 + 7 + 1).\nAnswer: -4*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t = 36*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 62\/3. Are 1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 434.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 3. Let d(h) = -3*h - 12. Let g be 2\/(-3) - 4\/3. Suppose -12*x = 15 + 93. Let p(j) = g*d(j) + x*o(j). What is the derivative of p(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 833.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a - 9105 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 6542?\nAnswer: 3271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*b - h - 2*h, 9 = -5*b - 3*h. Suppose -s + 4*c = -7, s + 2*c + 17 = -b. Let y(l) = -l**2 - 13*l - 15. What are the prime factors of y(s)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**3 - 982*t**2 - 5*t - 81677 wrt t.\nAnswer: -9*t**2 - 1964*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5061\/8 + 1255\/2. Let g = 3\/19 + -2\/133. Find the common denominator of g and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*(sqrt(256) - sqrt(256)*2 - sqrt(256)) + sqrt(256))\/(sqrt(8)*1*-4 + sqrt(8)) + sqrt(384)\/(2*sqrt(1452))*-6).\nAnswer: -512*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - b = -350, 5*w + 90*b + 70 = 85*b for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3078, 2785, 2492, 2199?\nAnswer: 1906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**7\/840 - x**6\/360 + x**5\/120 + x**4\/8 + 2*x**3\/3 + 2. Let m(k) be the third derivative of w(k). What is m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342100 at least as big as 2342108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 483431*a**3 - 3*a**2 - 39708 wrt a?\nAnswer: 2900586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 279\/6 - 2\/(-4). Let t be (-4)\/(-14) - (x\/(-7) - -6). Solve -t = 2*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1536 divided by -3.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1901*b**3 - 3*b**2 + b + 2. Suppose -6*z = -z. Suppose -2*c + 4 = -z*c. Let t be a(c). What is t rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 94963996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 17)\/(1*3\/48). Let v be (171\/36)\/(2\/i). Suppose -3*g = -2*h + 475, -11*g + v = 3*h - 6*g. What are the prime factors of h?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/4 + 41*b**2\/4 - 1649*b\/4 - 26169\/4 = 0. What is b?\nAnswer: -61, -13, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611671?\nAnswer: 611671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*(-5)\/(-30))\/(4\/(-18)). Find a, given that 1\/4*a**4 + a + 0 - m*a**3 + 0*a**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 + j. Let k be o(-1). Suppose -k*c = -2*c - 24. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + y)*(-4*y**4 + 3*y**4 + 0*y**4) + (5*y**3 + 11 + 2 - 11)*(86*y**2 - 69*y**2 + 142*y**2).\nAnswer: 794*y**5 + 318*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 3*c**2 + 2*c + 1. Let i be (12\/(-30))\/(1\/5). Calculate s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24486363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 810365 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*f + 100, 0 = 4*j + 3*f - 224 - 4. Calculate the remainder when 68 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 + 9992 = 4*g + 4*f, -14*g + 2*f = -36538. What are the prime factors of g?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -576137? (a) -0.16 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2749*j - 2077*j - 8*j**3 - 672*j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19314944 is divided by 19314928.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 + 2*u**2 + u**2)*(41555 - 1830*u - 41555) in the form v*u**3 + i + w*u**2 + x*u and give v.\nAnswer: -3660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2025657*o**3 + 12426*o - 886?\nAnswer: 12153942*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -198586, -397143, -595704, -794269, -992838, -1191411, -1389988?\n\"Answer: -2*c**2 - 198551*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3121422 (base 5) in base 10?\nAnswer: 51487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*v - 72, 3*p = 5*v - 5 + 77. What is the units digit of 2\/8 - (-90)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 409. Let j(a) = 677*a. What is h(j(y))?\nAnswer: 677*y - 409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 2*j + 3. Let d be o(-2). Suppose -2 = d*l - 20. Suppose -2*s - 4*g = -3 + 1, 3*s = -g + 23. Calculate the greatest common factor of l and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177176 (base 9) to base 6\nAnswer: -2210153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-171))\/((-2)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(14\/5)*s))\/s**(2\/21) assuming s is positive.\nAnswer: s**(-304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, k: 4, p: 4}. Give prob of sequence pl.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -2\/55, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78141\/2 - -40160. Let n = b + -1054. What is the common denominator of n and (-3)\/(-15) - 578\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 58*o**2 + o + 1. Is m(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c + 4. Let t(q) = q. Let l(f) = -6*t(f) - v(f). Let j be l(-6). Solve -u + x = -j*u + 5, -5*x = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Suppose -3*n**2 - 9797694*n - 9797691 = 0. Calculate n.\nAnswer: -3265897, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -837, -1675, -2513?\nAnswer: -3351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 2. Let m be h(-6). Suppose m*a - 10*a = -450. What is the greatest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2207?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*u + 102, 2*u + g = 67 + 26. Calculate the remainder when u is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -v + 216. What is the greatest common factor of 21 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753235.6 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13194175 to the nearest integer?\nAnswer: 3632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*f + 23*f - 82800. Is f a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172897543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) 1392 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h - 2. Calculate the common denominator of h\/3 + (-58)\/(-48) and 17\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 4*t**3 - 6*t**3 - 3*t**2 - 3*t**3 + 2. Let w be d(-2). What is the greatest common factor of 198 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 2*g - g**3 - 4*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -3027?\nAnswer: 3\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/322116335 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 56*g + 2. Let w be z(-28). Solve 0 = -w*c - 3 - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1018 and 28853683?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 885478 - 885478 + 177*m**2.\nAnswer: -2*m**3 + 177*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 11183.\nAnswer: -3354.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 1\/3 (c) 2058\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 4*n - 12. What is z(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 9:57 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.4568 rounded to 1 decimal place?\nAnswer: -72.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = -5. Suppose 5 = -2*o - k. Let i = -412 - -408. Put i, 1, o in increasing order.\nAnswer: i, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-286 + 279 + 0 + -65 - 9).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 817995 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o + 1. Let x be f(0). Let r be (12\/(-9))\/(x*(-5)\/15). Solve -7 = -r*g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503454045?\nAnswer: 3, 5, 61, 569, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwwwzwzjw. Give prob of picking 1 j, 1 w, 1 z, and 1 k.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-2*o + 3*o - 2*o) + 3*o + 3 - 3 + (-6 + 1 + 4)*(5*o + 3*o - 2*o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1392 * -7078.\nAnswer: 9852576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*b, 6 + 8 = 2*a - b. Suppose a*q = -0*q + 125. Does 15 divide -6*(-3)\/30*q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53\/22 + -21\/11. Let v = 0.4 - 2.4. Let s = 1 + -0.7. Put s, v, y in decreasing order.\nAnswer: y, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 6. Let c(f) = -f + 5. Let x(h) = h**3 - 5*h**2 - 8*h + 10. Let j be x(6). Let p(u) = j*c(u) + 3*i(u). Let d be p(-5). Is d at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 47018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124384 divided by -55.\nAnswer: -124384\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**3 - i**2 + 214. Let z be q(0). Let w = z + 13. List the prime factors of w.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 7. Let b be 8 + (2 - 2 - -2). Let p = -5 + b. What is the units digit of v(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7))**(3\/31))**19\/((v\/v**1)**26\/(v**6*v*v*v**(-1\/3)*v*v*v)) assuming v is positive.\nAnswer: v**(6602\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6300, 6323, 6360, 6411?\n\"Answer: 7*j**2 + 2*j + 6291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -3. Let w = 90.5 + -44. Let p = -46 + w. Which is the smallest value? (a) h (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23329?\nAnswer: 41, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d - d)*(-d**2 - 3*d**2 + 0*d**2).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2797 is divided by 2766.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - 27120\/520 - -15.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 504 = -2*x. Let p be -73 - (0\/8 + 6). Let a = x + p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 40. Let p be g(0). Suppose -5*i + 61 = d, 70 = 2*d + 4*i - p. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, n: 2}. Give prob of picking 2 n and 2 g.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**6\/24 - 2*x**5\/5 + 21*x**4\/16 + 2*x**3\/3 - 5*x**2\/2 + 504. Find t such that d(t) = 0.\nAnswer: -10, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -172764*r**3 - r**2 - r + 2. Let w be i(1). Let a = 93564 + w. What is a rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 - -1. Let r = q + 0.6. Let w = -20.7 - -21. Which is the biggest value? (a) 2\/11 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66266 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (4 - (-1 + 6 - (-7 - -11))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, x: 1, g: 8, n: 2}. What is prob of sequence gx?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12550, -12530, -12500, -12454, -12386, -12290, -12160?\nAnswer: -11990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1136 - -384. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27610 and 512634501.3.\nAnswer: 512662111.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (2 - -1)) + 4599998. Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (4 - 2) + -2. Find the third derivative of 3*p**3 - 3*p**2 - p**3 + p**j wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.3 - 8. Let b be ((-48)\/(-18))\/((-2)\/3). What is the second biggest value in g, b, 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -217*v**5 + 16632*v**2 - 16632*v**2 - 2*v**5 + 2*v**5 + v**5 + (-v**3 + 5 - 5)*(3*v**2 - 5*v**2 + 4*v**2).\nAnswer: -218*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53094061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -11*d**7\/70 + 3*d**3 - 39*d**2\/2 + 42*d. Let j(y) be the first derivative of x(y). Differentiate j(a) with respect to a.\nAnswer: -132*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 292.\nAnswer: 2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 53340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18333 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 1, y: 1, e: 2}. Give prob of sequence edy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p + 10*p - 16*p - 1 - 2*p**3 + (9*p**3 - 2*p**2 + 2*p**2)*(-3 - 5 + 3).\nAnswer: -47*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (6 - (19 - (-13 + 36 - 28)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yrrrrryryrrrrrrir.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48856 is divided by 2571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**4 + 0*o + 1 + o**4 + o**3 + 3*o - o to the form b*o**4 + a*o**2 + h*o**3 + q + z*o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41 + 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 1, -4, -9?\n\"Answer: -5*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-3)\/(-14)) + (-168)\/216*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*w - 7*w - 598. Suppose 0 = -84*t + w*t + 522. Solve -3*m = -t*m - 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 3 + 139*t**3 - 86*t**3 - 7*t**2 + 4*t - 19*t**3 - 17*t**3 - 16*t**3. Let j(u) = -u**3 + 6*u**2 - 3*u - 2. Let b be j(5). Calculate s(b).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s + 2. Let k(o) = s*o + 0*o - 6*o - 3*o**2 + 4*o**2 + 4. What is the units digit of k(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778890 divided by 7?\nAnswer: 111270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/12)\/1*-4. Which is the closest to 2\/5? (a) o (b) -4\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 21 - 33 = 0. Solve -d*i = 5*s - 34, 6*i - 15 = i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.043 + -0.043. Let b be (-1 - -2)*5\/20. What is the third smallest value in 0.5, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -86, 0.5, -0.2, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 302 and -0.16.\nAnswer: -48.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aii when three letters picked without replacement from {a: 2, i: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 329? (a) -2\/7 (b) 1\/63 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/5 + 4533024*j\/5 + 58932692.\nAnswer: -4*(j - 1133321)*(j + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160.34 + -1484.6. Let y = 1309 + x. What is y rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 2\/6*0. Let v(q) = 0*q**2 + 5 - 2 + 2*q - 1 + q**2. What is the units digit of v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 0*t - 32 - 17\/2*t**2. Calculate j(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1120 and 139\/264.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*s - 92*s + 76*s - 133*s.\nAnswer: -224*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235\/50 - 6 - (-2)\/(-10).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 28) + (965 - 946).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 479687*v**3 + 3*v**2 - 8*v + 18. Let f be s(4). Suppose -l = -b + f, -4*l - 155744331 + 32944321 = -5*b. Round l to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r - 63 = i, 4*i + 4*r - 55 + 79 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -105047285 divided by 1?\nAnswer: -105047285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-8952)\/(-16) + 3\/(-2). Suppose k = h - 4*z, -5*z - 1700 = -8*h + 5*h. Is h a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18231087 to the nearest integer?\nAnswer: 4270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000217717967 rounded to six dps?\nAnswer: -0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 9)*(386*b - 4 - 115*b**2 + 112*b**2 - 310*b) in the form x*b**2 + n*b + v and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b + 7. Let x = -5 + 0. Let f(c) = -4*c + 3. Let i(s) = x*f(s) + 2*n(s). Let j(q) = 3 - 2 + 4*q - 4. Calculate 7*i(g) - 3*j(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*0.622.\nAnswer: 0.04976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -1429a?\nAnswer: 14295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + 52*j - 61. Give a(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450514, -450516, -450518, -450520, -450522, -450524?\nAnswer: -450526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(((-1 + sqrt(252)*2 - sqrt(252)) + sqrt(252))**2 - (sqrt(252) + 1)*5)*-1.\nAnswer: -1006 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, 0, -0.01, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2083*f - 88476 = 2081*f. List the prime factors of f.\nAnswer: 2, 3, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1020 + 14 - 12\/(-3). Let f = -139 - k. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35141082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 6965 + 6965.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let l = 375.5 + -121. Let n = -254 + l. Which is the closest to -0.03? (a) n (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**4 - 2058734*l**3 + 2570658 wrt l?\nAnswer: -4*l**3 - 6176202*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((4 - -5) + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5 - 3 + 3*g**2 - 7*g**2. Let y(l) = -l + l - 9*l**2 + 5. Give 5*x(u) - 2*y(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 410 divided by 5\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 651787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:20 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f - 84*f + 83*f - 49*f - 329*f.\nAnswer: -367*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*d + 9485430 = 38*d. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*z + 24, -5*b + 47 = -2*b - z. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 + 9\/2)*(435 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - 210*v - 3528. Let p be c(-14). Factor p - 3*i + 0*i**3 - 3\/2*i**4 + 9\/2*i**2.\nAnswer: -3*i*(i - 1)**2*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14632 and 513772.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f + 4903 = 3683 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 + 49*c - 9*c**3 - 10 + 10 - 50*c + c**2 to the form v + p*c**3 + j*c + x*c**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*j**3 + 76*j**2 - j.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41\/3 - 14. Let t = -0.2 + -9.8. Let b = 5 + t. Sort f, -3, b in increasing order.\nAnswer: b, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from yysssyspsp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = -12. Suppose -h - 4*n = -0*n + 9, -5*h + 2*n = 23. Sort 2, d, -4, h.\nAnswer: h, -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-24))\/((-1)\/(-80)*10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 25*t**3\/3 + 1. Let h(o) = 26877*o - o**2 - 26877*o. What is h(i(j))?\nAnswer: -625*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*b = -22 + 3, -3*b - 9 = -4*y. Suppose 7*m - y*m + 5*t = -45, -4*m = -4*t. Let r(c) = -6*c**3. Let w(k) = 3*k**3. Determine m*r(x) - 9*w(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3085742.109 rounded to the nearest 10000?\nAnswer: -3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -480. What are the prime factors of q?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from phnppmpph?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Suppose 3*l - 4*m = -l + 40, -38 = -5*l - m. Let y(n) = -13*n + l*n + 7*n - 18 - 8*n. Determine y(r(g)).\nAnswer: 12*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-8)*(-33 - -29). Sort -14, 4, -8, q.\nAnswer: -14, -8, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/27)*a**(-14)*(a*a**(2\/17)*a)**(-10) assuming a is positive.\nAnswer: a**(-16180\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3\/k*(k**(-2\/3)*k)\/k*(k\/(k**(-2\/5)*k)*k)\/(k**(-3)\/k))**(1\/39) assuming k is positive.\nAnswer: k**(116\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**1)\/p**(-4\/3)*(p*p\/(p\/((p\/(((((p\/(p*p**(-11)))\/p)\/p)\/p)\/p)*p)\/p)))**(-2\/13))**(10\/3) assuming p is positive.\nAnswer: p**(1990\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = 0, -3*o + 0*o = 2*i - 31. Calculate the common denominator of 10\/(-8)*59\/(-5) and 114\/o*6\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167353838*f**4 - 160118398*f**2 wrt f?\nAnswer: 4016492112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1394.466um?\nAnswer: 0.000001394466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*p**2 - 1636*p - 20694.\nAnswer: 14*p - 1636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) 175 (c) -2\/23 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o + 544 = 28*o + 70*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8 (base 13) to base 7.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6160508 is divided by 1930.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1975 = -5185. Round d to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 5*x - 7, -20*b - 4 = -22*b + x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 5*z**2 + 3*z**2 + (3*z - 6*z + 2*z)*(-42 + 76*z + 42).\nAnswer: -69*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.4758t to nanograms.\nAnswer: 80475800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b - 9. What is f(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7263\/2690*60\/(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m + 13. Let g(u) = 5*u + u - u - u + 7. Calculate -11*g(d) + 6*i(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 123 = -1381. What is z rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 23*z**2 + 44*z + 861. Let b(r) = 37*r**2 + 73*r + 1436. Let l(s) = 7*b(s) - 12*t(s). What is the derivative of l(w) wrt w?\nAnswer: -34*w - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 6*i - 7. Let n be j(6). Let u(a) = a**2 - a + 21. Let o be u(0). Suppose o = 2*z - 5*z. Is z less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817921809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 438\/23 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 38*p + 20 = -34*p, 12*g = 4*p + 60 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/750)\/(4\/32)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8900 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14042.\nAnswer: 2, 7, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -13. Let m = 6 + x. Solve -3*k + m*k = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366463620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.309 (b) -0.5 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -71. Let q(d) = d**3 + 1 + d**2 - 60*d + 56*d - j. Give q(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2256*y + y**3 - y**4 - y**2 + 2255*y - 3*y**3 in the form r*y**2 + c*y**4 + i*y + w + k*y**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0 + 4*k**2 - 2*k**3 - 3*k + 1\/5*k**5 + 1\/2*k**4. Let o(g) = -g**3. Let j(x) = l(x) + 5*o(x). Let j(i) = 0. What is i?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -13*i - 111. Let u be x(-9). Suppose 0 = -4*o + u*o. Suppose 2*l - 5*l + 6 = 0. Solve l*k + o = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218517058 to the power of 1\/3, to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1343*m**2. Let b(a) = -25*a. Give b(x(t)).\nAnswer: 33575*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593*q + 350 = -586*q. Does 32 divide 5 - ((-5)\/q - 6349\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 1, e: 1, r: 1, t: 1}. What is prob of picking 1 d and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 25.816 (b) 1\/2 (c) 1 (d) -1 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 7*m + 5 - 1. Let v(g) = -7*g + 7. Let q(x) = 6*x - 6. Calculate m*q(p) + 4*v(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 0.5 (c) -36 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b = 110 + 133 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18114 is divided by 366.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 0 + 0 + 3*o**2 + 8*o**2 - 6*o**2 + (o - 2 + 2)*(-o - o + 3*o) as n*o + j + g*o**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 735739.578ns in weeks?\nAnswer: 0.000000001216500625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*u - 41*u + 41*u - 142371 + 142371.\nAnswer: -574*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8782 - -14188. Suppose -3252 = -5*p + 2*p + 3*k, y = 5*p + 2*k. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -3*v + 3*g, -2*g + 20 = 2*v. Let p(o) = 2*o - 5 + 2 - 3 - o. Let u be p(11). Which is bigger: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6225 - -1511556?\nAnswer: 1521114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 451935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 3 - 3)*(-4*m**2 + 0*m**2 + m**2) + (-m**2 - 2*m**2 + 5*m**2)*(6*m**2 - 2*m**2 - 3*m**2).\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*p - 191 + 47. Let u(f) = -f - 1. Give u(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -551*q - 6055. Calculate y(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22234*p**2 + 66701*p**2 - 22235*p**2 - 22235*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - 29 - 24) + (-3 - -2 - 16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixixoivxiivzox. Give prob of sequence oo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 + 10*n + 9. Let b(g) = -4*g**2 - 9*g - 8. Let a(y) = 6*b(y) + 5*m(y). Let c be 8\/36*24 + 3\/(-9). What is a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -322*c - 224. Let b(l) = -l - 4. Let t(h) = -38*b(h) + 2*x(h). Differentiate t(f) wrt f.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 - n - 1. What is i(-3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*a = 3118, -9*d = -5*d - 4*a + 12472. Let r be (-8)\/(-12) + d\/6 + 3. List the prime factors of (4\/(-6))\/(4\/r).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/15970820 and 157\/5636760.\nAnswer: 95824920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 360163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3 - 827*u**2 - 31*u - 32 wrt u?\nAnswer: -6*u - 1654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886510.3 nanograms to grams.\nAnswer: 0.0008865103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 4*w + 2. Let t be m(2). Let v be (2 + 13\/(-5))*t\/(-7). Which is the nearest to v? (a) -2\/11 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13117.7 and 56?\nAnswer: 13173.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06292221 rounded to four dps?\nAnswer: 0.0629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = o - 10, -5 = 3*a + 4*o. Calculate the common denominator of (a\/36)\/(1\/121) and 1\/13*(-25)\/10.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**4\/22 - 10*i**3\/33 + 8*i**2\/11 - 8*i\/11 + 162. Factor j(x).\nAnswer: 2*(x - 2)**2*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.54 (b) 2 (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3880*l + 5*l**2 + 3880*l - 3*l**2 - 9 in the form j + c*l + y*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 517, -18, 1.\nAnswer: -18, -3, 1, 517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8 = 4*q, -2*g - 4*q = -5*g + 3. Suppose 0 = -4*w + 5 + 3. Let p be 24\/30 - 34*3\/15. What is the biggest value in p, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 51 + 2*n**2 - 2 - 4*n**2 in the form j*n + x + o*n**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 625*q**4\/24 - 47*q**3\/3 + 263*q**2 - 2. Differentiate n(b) with respect to b.\nAnswer: 625","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.262211ml to litres.\nAnswer: 0.007262211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + 10\/8 + -6)*0. Let r(j) be the second derivative of 0*j**3 + 1\/12*j**4 - 1\/20*j**5 + p + 0*j**2 + 11*j. Solve r(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) - (-693)\/(-55). Let b = o - -33. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -16*b**5 - 24944*b**4 - 223524*b**3 - 502200*b**2 = 0.\nAnswer: -1550, -9\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 11*t - 30*t. Let r be 0 + (-6)\/(-2) + -3 + 0. Solve -4*i - 16 = -t*j, 2*i - 2 = -4*j - r*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 3 = 7*t. Let q = 24 + t. Suppose -19*y - 982 = -q*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783 divided by -7.\nAnswer: 783\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*4 - (-3 + 3). Let p(c) = 0*c + 0*c + c + j - 24. What is the lowest common multiple of 9 and p(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + 14. Let k = q + -40. Let f be (k\/3)\/((-236)\/(-117) - 2). What is the greatest common factor of 26 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y + 24. Let q = y - -40. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 5*h + 10. Suppose -3*s + 2*m = 5 + 4, -13 = -h*s - 5*m. Let f be 2 + s + (-3 - -6). Solve -f*i = 3 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 0 (c) -3 (d) 171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14*a + 3. Let c be q(-1). Suppose 3 = 3*m, -6*m - c = -5*b - 3*m. Suppose 0 = b*t - 3*o - 75, o - 12 = -3*o. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by (-228)\/(-15)*4\/(4\/5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.2 (c) 4 (d) -272 (e) -23\/4 (f) 0.4 (g) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16338 + -6119. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/12 - 21277*d\/12 - 10639\/6.\nAnswer: (d - 21278)*(d + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46407.6ml?\nAnswer: 46.4076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5341492 a multiple of 1807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - g + 19 + 37 + 31 - 3 - g**2. What is the tens digit of o(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.823701 millennia to years.\nAnswer: 4823.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -39, -28, -2 in increasing order.\nAnswer: -39, -28, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -255 + 516. What are the prime factors of l?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*b + 85*b + 2*b**2 - 82*b**3 - 43*b to the form q*b**2 + w*b**3 + x + h*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*(((-128)\/(-120))\/16)\/(5\/50).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 8*o**2 + 11*o - 18. Let d(x) = -x**2 + 6*x + 16. Let a be d(7). Let y be h(a). Suppose y = b + 7*b - 2168. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from {l: 1, v: 1, p: 2, e: 1, d: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000695847657 rounded to six dps?\nAnswer: -0.000696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2490*g + 2453*g - 703 = 0 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -2*i**4 + 17*i - 2. Let c(m) = 13*m**2. Give c(l(y)).\nAnswer: 7488*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -28 - (-14 - -58 - -33).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -129 (base 12) to base 10\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 471110*d**2*m**2 - 625256*d**2*m + 3*m**2 - m wrt m?\nAnswer: 942220*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117510 is divided by 10825.\nAnswer: 9260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 8*f - 4 + 4 - f + (4 - 1 - 5)*(-151 - 11*f + 151) + (4 + 0 - 6)*(0 - 2*f + 0) - f - 1 + 1 + f - 3 + 3 as q*f + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(200)*-2 + sqrt(2))*-2)**2.\nAnswer: 152*sqrt(2) + 2892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -135\/7669817?\nAnswer: -135\/7669817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778280?\nAnswer: 2, 5, 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13094 - -155.80025?\nAnswer: 155.93119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6*g + 5. Let m be w(-6). Let z(s) = 3*s + 3*s - m*s. Let c(l) = 5*l. What is z(c(q))?\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*o + 33 - 25, 2*o - 5*f - 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 2*c**2 + 3*c**2 + c**2 + 2*c**2 - 4*c**2 + ((4*c + 0*c - 3*c)*(2*c + 0 + 0) + c**2 + 4*c**2 + 4*c**2)*(-3 + 6 - 1).\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2563852 is divided by 640961.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.3 (b) -7 (c) 68843\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 92 - 3. Suppose 0 = 4*k - 2*k + 4. Let c(n) = -2*n**3 + 2*n**2 + 4*n + 2. Let p be c(k). Are p and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91\/4 + -24. Let l be ((-189)\/3213)\/((-4)\/17). Put l, -9\/2, h in ascending order.\nAnswer: -9\/2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b (base 16) in base 12?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 4. Let j(u) = -2*u**2 - u + 2. Let l be j(3). Let y = l + 10. What is a(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5396 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t - 5*t + 33 - 5*t**4 + 13*t**4 - 14*t**4 - 26*t**4 in the form i*t**2 + z*t**4 + o + j*t**3 + g*t and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.058 - 0.091. Let k = -7.033 - g. Let y = -0.07 + 0.47. Put 5, y, k in decreasing order.\nAnswer: 5, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47.28 - 47. What is h rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3 + 1. Suppose 0*r + 44 = z*r - 5*o, 5*o - 66 = -3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6348722, 6348669, 6348616, 6348563?\n\"Answer: -53*p + 6348775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k. Let c(q) = -q**2 + 2*q + 2. Let w(h) = -5*h**2 + 9*h + 9. Let b(d) = -18*c(d) + 4*w(d). Determine b(r(y)).\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/36)\/(1\/6). Find the common denominator of -87\/22 and (-5 + v\/12)\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l - 4*p + 11 = 0, -4*l = -5*p - 17. Suppose -l*i + 3*f + 12 = 0, 3*f = -4*i + 2*f + 26. Solve 2*o = 3*k + 16, o + i = 4*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0516187 hours to milliseconds.\nAnswer: 185827.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g**2 + 3700000. Let c be w(0). What is c rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, p: 4, h: 2, z: 2, s: 6}. Give prob of sequence whzs.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 0.4, 8653?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*t + 375, c + 2*t + 75 = 2*c. Suppose -4*u + 6 = 2*q - 24, -5*q - u = -c. Calculate the highest common divisor of q and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -0.5 (c) -274 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3\/2, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppipxwxp. What is prob of picking 1 w and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b*b*b**(-4\/5)*b*b)**(-2\/5) assuming b is positive.\nAnswer: b**(-92\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-161)\/(-2415))\/((-30)\/1575)*-20*1\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let h be x(-2). Let u be (h + 1)*(-6)\/(-12). Let l(p) = -p**3 + 3*p**2 - 2*p + 4. Let n be l(3). Which is greater: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*-1)\/((-2*sqrt(84))\/sqrt(7)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*z - 604 - 3206 = 0, -4*z - 19050 = -5*c. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u. Let x(c) = -7*c - 5*c + 9*c + c. Give x(m(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 12\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n - 5*w + 12, 4*n + 4 = 5*w. Suppose 5*t = 5*r + 10, -3 + 14 = t - n*r. Let v = -933085\/7 - -133298. Is v >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -0.1. Let w be (5\/(50\/4))\/((-176)\/110). Which is the biggest value? (a) 0 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2\/2 + 474675*w\/2 + 45713015.\nAnswer: 5*(w + 193)*(w + 94742)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 14. Let k be (6 - (5 + -1)) + 6. Let p be w(k). Which is greater: 15 or p?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 5*w**4\/12 + w**3\/6 + w**2 - 422. Let g(u) = -19*u - 3. What is -5*f(a) - 2*g(a)?\nAnswer: -12*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -57505.3 times 1?\nAnswer: -57505.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71371957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m*y**3*z - 32*m*y**3 + 2*m*y**2*z + m*y*z + 2*m*y + 8*y**2*z wrt y?\nAnswer: 12*m*z - 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2643.083 + 2639. Let d = s - -0.083. What is the nearest to 0 in 3, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 - 35241445*k - 1241959445688025\/2.\nAnswer: -(k + 35241445)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (618\/15)\/((-2)\/(-55))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1380*q + 1379*q - 25 = 0 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 8. Let x be f(9). Let q(u) = u + 2. Let l be q(x). Calculate the greatest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/180 - z**3\/6 - z**2. Let m(f) be the first derivative of r(f). Let i(w) = -6*w. Determine m(i(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-16 + (7200\/2000)\/((-18)\/(-40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185412 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1174, -2169, -3164, -4159?\nAnswer: -5154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 878*q**2. Let d(n) = -8441*n - 1. What is d(m(v))?\nAnswer: -7411198*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1871 = -43*y - 50*y - 28*y + 7558 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 - 99. Let j(g) = 3*g**2 + 6*g - 1. Let u(y) = -10*y**2 - 19*y + 4. Let b(h) = i*j(h) + 2*u(h). Give b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 2*b - 2*m = -14, -5*b + 11 = -m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*g + 84*g - 284*g + 120*g.\nAnswer: 41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**2. Let l(j) = 24*j**2 - 12*j**2 - 10*j**2. Determine l(s(c)).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67922*u**3 + 66307*u**3 - 134233*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -23 + 4*a**2 + 481*a**3 - 13 - 485*a**3 + 32*a - 12 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1769*z - 13*o + 120 = 1764*z, -4*z - 12 = -2*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 3*v - 4. Let m(c) = -c - 12 + 0*c + 21. Let f be m(-8). Let i = 13 - f. Determine z(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 3, r: 4}. What is prob of sequence vcv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2. Let y(a) be the third derivative of -a**5\/60 + 5*a**2. Calculate z(y(w)).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11670 is divided by 1420.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -737*w**2 + 737*w**2 - 3*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 1580528*o\/3 - 624517189696\/3.\nAnswer: -(o - 790264)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*x**2 + 3*x - 3*x + 5*x + 52*x**2 + 15*x**2.\nAnswer: 154*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 921438 and 14115738.\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 199*y**2 - 22*y - 16. Let i(b) = 40*b**2 - 4*b - 3. Let p(l) = 11*i(l) - 2*n(l). Let u(o) = 8*o**2. Calculate u(p(z)).\nAnswer: 14112*z**4 - 672*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172883 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5286, 42236, 142516, 337788, 659714?\nAnswer: 1139956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*d - 728 = -5471. Let g(c) = c**2 - c. Let o be g(-2). What is the highest common factor of d and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7851, 15799, 23747, 31695, 39643, 47591?\nAnswer: 55539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -15942 and 15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + h - 11 = 0, 4*z - 5*h - 4 = -27 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -42 (b) -82 (c) 4 (d) 2 (e) 0.1 (f) -377\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038957 rounded to five dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a - 3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5152726 and -803.\nAnswer: -802.4847274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/15)*j**8)\/(j**(8\/3)\/j**3))\/(j**(-9)\/j*j*((j**(-1\/4)*j)\/j)\/j)**(1\/15) assuming j is positive.\nAnswer: j**(183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*t + 10 = 0, 5*k + 5*t = -32 - 3. Let q(v) = -v**3 - 4*v**2 + 2*v + 4. Let z be q(k). Put z, -2, -1 in descending order.\nAnswer: -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 6*v**2 - 4*v - 12. Let h be k(7). Suppose 0 = -2*f - h*f + 22. Sort 3, 4, f in increasing order.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 31*c + 73. Calculate q(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 - 413588*y\/5 - 3721968\/5.\nAnswer: -4*(y + 9)*(y + 103388)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9165, 9166, 9167, 9168?\n\"Answer: z + 9164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1232, -1436, -1626, -1796, -1940, -2052, -2126, -2156?\nAnswer: -2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1036 and -39\/10?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39418496 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 + 6*h. Let v(t) = -6*t**2 - 5*t. Suppose 20*a - 2*a = 4*a - 70. Calculate a*z(q) - 6*v(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbpeuruebue. Give prob of picking 2 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k - 4. Let v(a) = -18*a + 10. Let o(r) = -2*v(r) - 5*z(r). Suppose 5*p = 3*h + 9, 2*p + 0 + 4 = 5*h. Determine o(h).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 259\/2, -20, -1, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*k*s**4 + 3*k*s**3 + 2*k*s**2 + 77*k + 2*s**4 wrt s.\nAnswer: 240*k*s + 18*k + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5, 2\/9, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 7095948*q**2 + 42575742*q + 63863640.\nAnswer: -2*(q - 3547980)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*d - 30 = 0, -u = u - 5*d - 25. Let h = 10 - u. Let m(q) = -5 + 5*q - 4*q + 2. What is m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1c6582?\nAnswer: -1c657e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/9)\/((-6)\/(-45)). Is 5*9 - (5 - k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 1, s: 3, x: 5, n: 3, g: 3}. Give prob of picking 1 g and 1 n.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w - 4. Suppose -6*j + 141 = 3. Suppose -6*g + 5 = j. Let d(m) be the third derivative of -7*m**4\/12 - 11*m**3\/6 - m**2. Determine g*d(z) + 8*x(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14\/5)\/q)\/q*q**(-8\/5) assuming q is positive.\nAnswer: q**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 5. Let i = -6 + 11. Let j be (-475)\/570*(-3)\/10. What is the second biggest value in c, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 12:24 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1400189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2114322759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21 and 268049018.\nAnswer: 268049039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11200 (base 3) to base 2\nAnswer: -1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8369*c - 192478. Determine r(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 34 - 4*u)*(0*u - u**4 + 0*u) + 3*u**5 - 4*u**5 + 0*u**5.\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 17}. What is prob of sequence so?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59.2 - -59. Put -0.5, 0.08, -1, h in decreasing order.\nAnswer: 0.08, h, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67\/4 - 16. Suppose 5*v + 3 = -w, -v - 3*v - 6 = 2*w. What is the closest to -1\/2 in w, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55071644*k**2*r - 95*k**2 - 141006*k wrt r?\nAnswer: 55071644*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*m - 4815, 875 = l - 5*m - 3946. What is the greatest common divisor of 890 and l?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 27 = 42*v - 43*v, c - 3*v + 11 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 30*g + 91. Let a be d(-4). Suppose -6*o + 165 = -o. Let j = o + a. Put j, -2, 1\/4 in descending order.\nAnswer: j, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 543051167 to the nearest integer?\nAnswer: 23303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35.75 - -36. Let u = 0.25 - c. Does u = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1802390 by -901195.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.4 - 1.4. Let s = d + -2.2. Which is smaller: 7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlir when four letters picked without replacement from erzqleiiz.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 178 - 16*p**2 + 143.\nAnswer: -16*p**2 + 346","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216919 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74904 or -0.2?\nAnswer: -74904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1890 and 367794?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/19, 3\/5, -52 in ascending order.\nAnswer: -52, -3\/19, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321033973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -14*j**4 - 226*j**3\/3 + 67*j**2 + 4. What is the first derivative of n(w) wrt w?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 48 - 25*s)*(69*s**2 - 9*s**2 + 17*s**2) + s**2 + 2*s**3 - s**2 + (-3*s + 0*s + 4*s)*(0*s**2 + 3*s**2 - 2*s**2).\nAnswer: -1922*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17589*y = 16461*y + 25944 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925 + 626 + 927 - 2477 - 270*q.\nAnswer: -270*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3635 + 7267 - 3633)*(3*d**2 + 4*d**2 - 4*d**2) as w + f*d + v*d**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = l + 1805 + 1607, 0 = -5*i - 3*l - 3416. Let d = 5443\/8 + i. Which is greater: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(28\/8 - 3). Suppose -3*j - 230 = -5*j + 4*g, j - g - 117 = w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**3\/3 + 3550000*o**2 - 23*o. Let m be a(0). What is m rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (-12 - -10)*(-14)\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1177*v - 9344 + 97929 + 44416 = 0 for v.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsvvqdqqdqvdqdsdd. Give prob of sequence vdqs.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (191*j**2 - 200*j**2 + j - 10*j)*(j**2 - 4*j**2 + j**2) to w*j**4 + t*j**2 + u + a*j**3 + k*j and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.8241 litres in millilitres?\nAnswer: 127824.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1\/5*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.433? (a) -3 (b) 8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -250772593*z. Let c(u) = 3*u. What is c(x(w))?\nAnswer: -752317779*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*c - 75 = 3*f, 0 = 2*f - 3*c - 26. Suppose -5 - f = -3*n. Let r(x) = -12*x + 218. What is the remainder when r(15) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28040 and 20?\nAnswer: 28040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/5 - b**4\/6 - b**2\/2 + b. Let j(p) = p**3 + 2*p**2 - 5*p - 4. Let c be j(-3). Does 12 divide r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3360, 783, 12070, 34071, 70356?\nAnswer: 124495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 179, 241, 271, 257, 187, 49, -169?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o + 330. What is the common denominator of (-6)\/10 + 482\/(-30) and o\/24 - (-1 - 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 - (-3)\/((-18)\/(-212)). Let v = -33 + g. Suppose l + 95 = 2*z - 2*l, v*z - 90 = -2*l. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 55802 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from rrqhhrirqhrhhkh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2985\/8?\nAnswer: -2985\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x**2. Let c(d) = -d**3 - 2. Let q be c(0). Let k be o(q). Let l = -10 - -24. Calculate the highest common factor of l and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 30*w**2 + 3*w - 3. Let z be c(-15). Let o = 52 + z. Sort -4, o, -0.09, -2\/5 in decreasing order.\nAnswer: o, -0.09, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491723119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2228b43 - -b?\nAnswer: -2228b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000011010101010 - -10100111?\nAnswer: 11000011101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-780)\/25)*1*-2.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21922 + 3?\nAnswer: -2191c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 + 35*b**3 - 21*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.8188ug in nanograms?\nAnswer: 787818.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*x**2 - 2*x**2 + 4*x**2)*(-4*x**2 + 2*x**2 - x**2)*(4 - 3 - 2) as k*x**4 + j + g*x + h*x**3 + z*x**2 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1849784 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3000105 to the nearest integer?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124017 divided by 1851.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 180318165 to the power of 1\/2, to the nearest integer?\nAnswer: 13428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 9*l**2 + 27*l - 4. Let y be x(7). Let f be 0\/(-2 + 8) + 92. Let b = f - y. Solve -b = 3*k - o, 4*k - 9*k - 4*o - 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-12)\/6 + 6. Solve 36*x - 7*x + 29 = o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36016553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/17803 bigger than -2\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48949 + -28091. Let x be (2 - (-59990)\/(-66))*322\/(-168)*-12. Let z = p + x. Calculate the common denominator of z and 95\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 4*f**2 + 8*f - 4. Let q be k(2). Solve -q*d = -3*l + 3, -3*l = -3 - 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 2*w**4 - 4 - 48215*w**2 + w + 48215*w**2 as a*w + y*w**2 + z*w**3 + f + i*w**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23397 and 500.517997.\nAnswer: 23897.517997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -162, -909, -2240, -4155, -6654, -9737, -13404?\n\"Answer: -292*o**2 + 129*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2913, -2713, -2513, -2313, -2113?\n\"Answer: 200*i - 3113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*-0.043.\nAnswer: -3.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.9 - -0.9. Let y = j + 6.05. Let m = -0.048 + y. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23131.\nAnswer: 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(1053))**2 + (0 + sqrt(13))*-5 - (sqrt(208)*6*2)**2).\nAnswer: 20*sqrt(13) + 102960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/9 - 386*c**3\/9 + 7352*c**2\/3 - 317512*c\/9 + 295840\/9 = 0. Calculate c.\nAnswer: 1, 20, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63760 + 94068. Round w to the nearest one hundred.\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -41, -46, -49, -50?\n\"Answer: u**2 - 10*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2*o**3 + 12*n**2*o**2 - 2*n**2*o - n*o**3 - 18*o + 2 wrt o?\nAnswer: 6*n**2*o + 24*n**2 - 6*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -3020502?\nAnswer: -3020454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638098?\nAnswer: 2, 7, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/3 - 125*b - 380\/3.\nAnswer: 5*(b - 76)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -375*i**2 - 1096*i - 2263144 wrt i?\nAnswer: -750*i - 1096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Suppose -4*z + u + 2*u - 319994 = 0, -5*z + i*u - 399990 = 0. What is z rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282111*z**3 + 4*z - 4*z + 1191*z**3.\nAnswer: -280920*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1218371 and 77?\nAnswer: 1218371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*n - 21 = 154*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61.3 + 64. Let u = b - 1.7. Is u greater than 1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 z, and 1 x when four letters picked without replacement from {x: 2, w: 10, z: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23, 560, 1093, 1622, 2147, 2668?\n\"Answer: -2*n**2 + 543*n - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10407 and 3.\nAnswer: -31221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-7 + 2)) + 980. Let d = 7817\/8 - j. Calculate the common denominator of -3 + 0 - (-45)\/4 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 smaller than 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -111211031?\nAnswer: -111211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.621 + -14.371. What is the closest to -0.07 in 1, 3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/5)*v)**(-28) assuming v is positive.\nAnswer: v**(-224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59069437?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a decade in months?\nAnswer: 1470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6682*n**4 + 8*n**2 + 65*n + 9. Let t(c) = 6681*c**4 - 7*c**2 - 65*c - 7. Let u(j) = -7*a(j) - 8*t(j). Find the second derivative of u(s) wrt s.\nAnswer: -80088*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 23230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**6\/120 - 8*s**2. Factor b(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 18*s + 32. Let y be g(14). Let k = 108 + y. Is k less than -3\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21822, 21777, 21732, 21687, 21642, 21597?\nAnswer: 21552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -7*u**5\/60 + 7*u**3\/6 - 3*u**2 - 4. Let i(q) be the second derivative of y(q). What is the first derivative of i(r) wrt r?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/513 and 70\/969?\nAnswer: 8721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 35*c + 2725. Give f(-78).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 270*a**3 + 45*a**2 + 2430*a.\nAnswer: -5*a*(a - 3)*(a + 3)*(a + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 + 198. Calculate the greatest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -314.77 - -29.83. Let o = m - -293. Round o to 1 decimal place.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:54 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 23931212*m - 71587863473618.\nAnswer: -2*(m - 5982803)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)*z)\/z*z**(25\/4)*z**14\/(z\/((z*z**12)\/z)) assuming z is positive.\nAnswer: z**(1367\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 9. Suppose 4*w - 5 = k. List the prime factors of (w\/2)\/((-5)\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**17\/l**(-1\/16) assuming l is positive.\nAnswer: l**(273\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 575 = -6*v. Let g = -198 + v. Let d = -44 - g. Round d to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 7*s - 3. Let w be i(-8). Suppose -w*l + l + 4 = 0. Put 2, l, 4 in decreasing order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1300714, -1300701, -1300692, -1300687, -1300686?\nAnswer: -1300689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -773200 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, 4, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4977\/(-567) + (-27)\/(-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) 0.1 (b) 0.2 (c) 0 (d) -2 (e) -3\/22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*d + 81*d - 7*d - 52*d.\nAnswer: 151*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(sqrt(55)\/(sqrt(11)*-2))**2 + (1*(sqrt(500) + 2)*2)**2.\nAnswer: 160*sqrt(5) + 8055\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4170*i = -4167*i - 5*p - 50, 1 = -p for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 19*p + 1709. What is x(-70)?\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*65*77\/165. Calculate the highest common factor of s and 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-217)\/93 - 21\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 1, s: 4}. What is prob of picking 3 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1314508.9619531 - 1314510. Let w = 1.038 + f. Round w to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/6 + 1\/(-3))\/(314\/17283973) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 40 = 3*p, -5*p + 3*c + 44 = 7*c. What is the least common multiple of p and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45737.629 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1914, 1909, 1902, 1893?\n\"Answer: -h**2 - 2*h + 1917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000825 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776140671 is divided by 9344.\nAnswer: 9343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**2\/2 + g - 8. Let i(a) = -a - 5. Determine i(o) + 3*k(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u + 9*u + 1 + (3 - 3 - u)*(4 + 0 - 3))*(-26*u**4 + 34*u - 34*u).\nAnswer: -286*u**5 - 26*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -20 (c) 2.256994\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1060 = 46*f - 13*f + 20*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 177*u**3 + 4*u**4 - 6 + 171*u**3 - 4*u**2 + (-3*u**2 + 2*u**3 + 3*u**2)*(0*u - 2*u + 0*u) - 4*u**3 - u**4 + 4*u**3.\nAnswer: -u**4 - 6*u**3 - 4*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52\/10 + (-3)\/15. Suppose -a*c - 18 = -63. Calculate the least common multiple of (-2)\/(-3) - 275\/(-33) and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (52\/5)\/(6\/15). Let n = -70 + r. Let k = -28 - n. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8 + 7)*(0 + -1))\/(-3). Which is the nearest to 0? (a) v (b) 7 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 6*x. Let r be (1 + 0 - x)\/((-2)\/(-14)). Suppose 0 = -6*f + r*f - 46. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**7*i))\/i*i\/i**24)\/(i**11)**14 assuming i is positive.\nAnswer: i**(-186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 10*d + 15*d - 28*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2705.4 - -1978. Round y to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**5\/30 + 968*u**2. Let d(j) be the third derivative of -13\/24*j**4 + 0 + 3*j**2 + 0*j**3 + 0*j. Calculate d(v(b)).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 8:32 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 3*w + 2. Suppose -2*x + x = -2. Let b be 5\/x + 1\/(-2). What are the prime factors of r(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -101. Let f be (h\/12)\/(-11)*1*58. Let g(l) = -33*l**3 - 2*l**2 - 16*l - 27. Let w be g(-2). Calculate the highest common divisor of f and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/3 - 9069*b**2 - 27204*b = 0?\nAnswer: -27204, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4749439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -82*f - 426. What is the remainder when o(-15) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 210\/8311837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from doduuokoegodekd.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/2245 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -40?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(7\/224*8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - -17. What are the prime factors of u?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2. Let u(x) = 32271169*x**2. Determine u(j(d)).\nAnswer: 129084676*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -1.9, -5, 0.06358?\nAnswer: 0.06358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.86915 minutes to nanoseconds.\nAnswer: 3352149000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 + z**2 + 2*z. Let u(x) = -3*x**4 + 761*x**3 - 48374*x**2 + 93752*x. Let c(l) = m(l) - u(l). Find s, given that c(s) = 0.\nAnswer: 0, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 118*w**2 + 1088*w + 56. Calculate c(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 927 divide 90921767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 5*q + 19 = 8*s, -s - 3*q - 7 = 0. What is the greatest common divisor of 1514 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 10. Let a be r(-7). Suppose 2*u + l = 7*u - a, -4*u + 2*l = -10. Suppose 62 = u*j - 18. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 0*v**2 + 1 + 0*v**5 + 0*v**3 + 7\/3*v**6 + 221\/12*v**4 - 30*v. Find the third derivative of w(j) wrt j.\nAnswer: 1680*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23\/105 + 2\/105. Let s = 0.5175 + -0.4175. Sort 4, b, s in descending order.\nAnswer: 4, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11936 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*m**3 + 2378886*m**2*w - 100*m*w - 2*m - 26533*w - 1 wrt m?\nAnswer: 228*m + 4757772*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 4*h**2 + 6*h - 2. Is 8 a factor of k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/89)\/o)\/(o*o**13)*(o**(3\/13)*o)**(-28) assuming o is positive.\nAnswer: o**(-57253\/1157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j + 51442 = -23*j + 171562. Calculate the greatest common factor of j and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i + 1\/8*i**4 + 0 - 63*i**2 + 0*i**3 - 1\/24*i**6 + 1\/30*i**5. Factor p(o).\nAnswer: -o*(o - 1)*(5*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.2 + -8. Suppose -2*a = 3*a - 20. Let y = -22 - -25. What is the third smallest value in m, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498070 != 498070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 350566 = -350752 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1960)*-2 + sqrt(1960) - sqrt(1960)) + sqrt(40))\/sqrt(8) + -2*sqrt(125)*-1)**2 - (sqrt(20) + 4 + -1 + 5)*4.\nAnswer: -8*sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7*n = -3*n - 163436, 0 = -5*f + 4*n + 204250. Suppose v - f - 44946 = 0. Suppose -2*q = q + v. What is q rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12*y**2 - 5*y. Let d(c) = 7*c. Give q(d(h)).\nAnswer: -588*h**2 - 35*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1492\/(-1865))\/(((-68)\/10)\/(-1))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p + 2. Let z(n) = -2*n - 1. Let s(r) = -x(r) - 5*z(r). Let u(y) = y - 3. Let d be ((-2)\/(-6))\/((-4)\/(-60)). Determine d*u(m) + 6*s(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 10*i**2 + 11*i + 2. Let l be q(9). Let z = -9 + l. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -278, 0 in ascending order.\nAnswer: -278, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggs when three letters picked without replacement from sygg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = 0. Suppose 3*i + 0*i + 2*w + 3600002 = 0, l = -5*i + w - 5999999. What is i rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + l**2 - 5)*(2 - 2 + 3)*(17 + 9 + 24)*(6*l + 2*l**3 - 6*l).\nAnswer: 300*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r + 3*r**4 - 3*r**4 + r**4 + r**4 + (2*r**3 - 2*r**3 - 2*r**4)*(4 - 2 - 4) - 1 + 1 + 2*r**4 + (-3 + 1 + 1)*(-r**4 - 2*r**4 + 2*r**4).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x. Let s(z) = 5*z. Suppose 0 = 13*j - 17*j - 5*r + 32, 4*j = r + 8. Let b be (3 + -1)*j - (-192)\/24. Determine b*h(v) - 6*s(v).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2135 and -236649?\nAnswer: -50524.5615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.4697 rounded to one decimal place?\nAnswer: 250.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -702 + 1312. Let w = z + -306. What is the greatest common divisor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2301 = 4288*t - 4111*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17) + 4 + (sqrt(1700) - (-3 + sqrt(1700)))**2.\nAnswer: sqrt(17) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0626 + 1.0714. Let x = k - 1.12. What is x rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)\/d**5)\/(d**(-8)*d**(2\/11)\/d) assuming d is positive.\nAnswer: d**(179\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 16 + 12)*(2*k + 0*k + k)*(0*k - k + 3*k)*(-7 - 3 + 4)*(4 - 4 + 2*k).\nAnswer: -1944*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -10. What is the second derivative of 0*k - k**3 - 3*k + p*k wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -d - 5*o, d = 137*o - 139*o - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/1479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*r - 27774 + 28062. Let i(v) = -3*v + 2. Let h be i(-4). Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnyfnttnntfnktt. Give prob of picking 1 t, 1 y, and 2 f.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013174 is divided by 143792.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -163.6 * 36\nAnswer: -5889.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 3*q**2 + 6*q**2 + 1 + 3. Let l be 6*(1 + (-10)\/6). Let n(p) = -p**2 - 3. Calculate l*n(u) - 3*h(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t + 5*u, -5*t + 3*u + 26 + 31 = 0. Solve -9*k + 5*g - 39 = -5*k, 4*k + t = -5*g for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -331)*((-23)\/(-6) - (-20)\/120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73722 (base 12) to base 4\nAnswer: 210331022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*4\/8 + -2. Suppose q - 5*i + 1 = 0, g*i - 2 = -4*q + 90. Is 16 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(684) + -3 + 4.\nAnswer: -3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -29 + 7 - 3*r + 6*r - 18. Let c be o(20). Let y = c - 18. Solve 2*u = 3*n - 2, y*n + 2*u + 1 + 1 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 110*a + 232. Give v(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, -2\/7, 2\/13 in descending order.\nAnswer: 0.5, 2\/13, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21993838*t**2 - 849357*t - 7 wrt t?\nAnswer: -43987676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 7*y + 18. Give f(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 1083?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b9c8 (base 16) to base 3.\nAnswer: -2102020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 5*q + 1. Let p be f(6). Let c(z) = -z**2 - 5*z + 5. Let h be c(p). Solve -4*u + h*m = 22, 5*m = -u + 13 - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25327 = -324*u + 352243. What is the remainder when u is divided by 114?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 7280\/719?\nAnswer: 7280\/719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 5, d: 3, o: 5, z: 4, l: 1}. What is prob of picking 2 f?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-4 - 10)*6\/(-21). Let z = -15 + 18. Suppose z*y + 85 = 8*y. Sort g, y, -4, -1 in descending order.\nAnswer: y, g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120175940 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: Calculate prob of sequence pp when two letters picked without replacement from {p: 4, m: 9, j: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/11 (b) -187\/7 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-2) - (-77)\/1 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79273 and 554911.\nAnswer: 554911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 7, q: 2, k: 1}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -123, -24?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4 = -4*k - 4*x, -3 = -2*k - x. Suppose 5*s - 11 = k. Find the common denominator of -28\/3 and ((-54)\/24)\/(s\/(-26)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -115, -596, -1795, -4072, -7787, -13300, -20971, -31160?\n\"Answer: -60*k**3 + k**2 - 64*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 56477193?\nAnswer: 282385965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -9*y - 13\/2*y**2 + 1. Let v(t) = -6*t - 4. Give -4*c(w) + 9*v(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z + 521 - 512 = -1096 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1)\/q*q)**(-48)*(q\/(q\/(q\/(q**(2\/3)\/q)))*q)\/(q\/(q*q**(-2))) assuming q is positive.\nAnswer: q**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30995053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1518 + 252. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/240 and -77\/810.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.75 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -20*s**3 + 54*s**2 + 382*s + 5. What is the hundreds digit of m(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.277 and -2432.\nAnswer: 673.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 497, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 5*p - 32*p**3 + 47*p**3 + 131 - 126 in the form q*p**2 + b + x*p + v*p**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, 1 x, and 1 v when four letters picked without replacement from vvxmqbvvqqmbx?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-36))\/((-30)\/(-520))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11.5149um?\nAnswer: 0.00115149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2200, -2201, -2202?\nAnswer: -2203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 687*w**2 + 4*w + 2. Let n(p) = 2580374*p**2 + 15026*p + 7513. Let m(x) = -15026*j(x) + 4*n(x). Let b(k) = -k**2. Determine b(m(r)).\nAnswer: -1865956*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 0*j - j)*(4 - 12 - 24) to r + q*j and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -47*m - 238. Is o(-10) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 687 + -690. Let y(b) = -27*b + 1. Let f(x) = -55*x + 2. Let q(g) = -4*f(g) + 9*y(g). Let o be q(i). What is the greatest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 0.28. Let c = k - -0.64. Let t = c + 0.22. What is t rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - sqrt(204)*3*3 - (sqrt(204) + 6*sqrt(204)*-1))\/(((-1*sqrt(360))\/sqrt(10))\/(sqrt(30)\/(sqrt(90) - sqrt(10)))).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + 4000?\nAnswer: 4027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + 3*((-6*(sqrt(1573) + 0 + sqrt(1573)))**2 + sqrt(1573)))*1*-4.\nAnswer: -2718128 - 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*r - 0*m - 59, 3*m = 5*r - 101. Suppose -2*i - 2 = -5*c, 4*i = -c - i + r. Solve f + 2*t - 10 = -c, -3*f = -t + 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -26. Is 13\/3 + z\/(-12) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38088 divided by 18\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7036 less than 0.05?\nAnswer: 7036.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35789911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.45, -30, -0.17, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1730 - -1734. Solve 4*l + 18 = i, -m*i - 2*l = -5*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3007.2 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 34*c + 41*c + 34*c**3 + 35*c - 110*c.\nAnswer: 34*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 9*b + 10. Let v be 10\/1 + 2 + -2. Let r be l(v). Let f = -6\/5 - -9\/10. Is f smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57, -166, -389, -612, -835?\n\"Answer: -223*a + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:16 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wkwwkwkkwkwk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 452, 1080, 1960, 3092?\nAnswer: 4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 463666\/13 and 35668 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -570, -575, -592, -627, -686, -775, -900, -1067?\n\"Answer: -w**3 + 2*w - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/484 and 125\/528?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 2 + 2)*(-9 + 0 - 4)*(-17 - 5 + 10) to the form b + r*s and give r.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0 + 1. Suppose -2*s - w = -15. What is the third derivative of -2 - 5 + y**2 + s - 4*y**5 wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (-5 + sqrt(125)*5 + sqrt(125))**2*5).\nAnswer: -1500*sqrt(5) + 22627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16722105 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssssossssossss. What is prob of sequence soos?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3899*x**2 + x - 2 + 37359*x**2.\nAnswer: 33460*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 121*k + 425*k + 74*k - 1.\nAnswer: 378*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 1\/3, -0.28037, -3 in increasing order.\nAnswer: -3, -0.28037, 0.11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37327825 divided by 1475?\nAnswer: 25307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7281746151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {r: 3, b: 6, n: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102 + 0*x**4 + 0*x**2 - 3*x**4 + 101 - 3*x - x**3 - 2*x**2 to the form f + n*x**4 + s*x + y*x**3 + b*x**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1, 10, -2\/3, 6\/19, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 - 1. What is the units digit of w(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -0.6 (c) 5 (d) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -254, -463, -778, -1211?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-3)\/(-2)*4. Let t(a) = 7*a - 3*a + 4 + 4*a**2 - 4*a + a**3. Determine t(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(192) + sqrt(192))**2 + 3)*3.\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28357181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346430 - 58945 = 24338*u - 5363*u - 2397750 for u.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 412 by 4.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16*j + 181. Determine o(-17).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 + 838*u**2\/9 + 1658*u\/3 + 826.\nAnswer: 2*(u + 3)**2*(u + 413)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + -123. Which is bigger: 2\/9 or i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3327085, 3327088, 3327091?\nAnswer: 3327094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26582*a**4 - 5*a - 403397 wrt a?\nAnswer: 106328*a**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0*u + 1\/45*u**5 - 1\/60*u**6 + 0*u**3 + 0*u**4 + 5*u**2 + 0 + 1\/315*u**7. Factor f(g).\nAnswer: 2*g**2*(g - 2)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.52 times -89134\nAnswer: 135483.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 99.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135449?\nAnswer: 135449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381228 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 9 + 6 + -2 + (3 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v**3 - 4*v**2 - 28*v. Let u(g) = -g**3 - g**2. Give -q(c) + 6*u(c).\nAnswer: 3*c**3 - 2*c**2 + 28*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 5, 0.76, 1, 0.1 in decreasing order.\nAnswer: 5, 3, 2, 1, 0.76, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*u - 6*u - 53 = 0, -c + 27*u - 472 + 422 = 0 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 + -126. Let y(w) = w + 6. Give y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -11.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2278.03*-4.\nAnswer: -9112.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 20831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 2)\/5*(-2 - -3). Suppose 4*d + 2*m - 60 = 0, 30*d - 32*d = -m - 34. Which is the nearest to d? (a) -2 (b) v (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:45 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -12, -8, 0?\n\"Answer: 2*j**2 - 6*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32778.37 hours to milliseconds.\nAnswer: 118002132000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -17147?\nAnswer: -17136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/18 - (-98)\/(-132). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*g - 8 - 4, 3*o = -g + 6. Let f = -19 + 22. Let y be (o - f)*(-9)\/6. Solve 0 = -y*m + 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -697, -699, -701?\n\"Answer: -2*i - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482126980?\nAnswer: 2, 5, 751, 32099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 404 = -0*a. Suppose 5*n + 3*p = a, 2*p - p = -n + 80. Let u = n - -6. What is the highest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1889431193, -1889431191, -1889431189, -1889431187?\n\"Answer: 2*y - 1889431195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*b - 99 = -12, 1 = -b. Suppose 2*x - n = 3*m, m = 2*x + 6*m - 45. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/121 + 596\/22. Solve 4*b - 5*y = -10*y + s, 21 = 4*b + 3*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36328\/5 + 7266. Which is the closest to 0? (a) 0.3 (b) 2 (c) -10 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a - 24. Let p(r) = -5*r + 12. Let b(f) = -2*d(f) - 5*p(f). Let h be b(5). Find i such that -2*i + h + 1\/3*i**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 8 = 100*q - 98*q, 0 = -3*q + 5*b + 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((6 - -1) + ((-9)\/(-27) - 7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 8. Let k be s(11). Does 7 divide 0 - -29 - (k - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*x + 115*x + 610 = 0. Let d = x - -305. Solve d = -2*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(10\/4)*4482\/(-4). Suppose -p + 351 = -5*c. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 6*n + 13. Calculate the lowest common multiple of n and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8314139*q - 3867190?\nAnswer: -8314139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1300939155 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 + 10*d + d - 5*d - 3082 - 15*d**2 - 4*d + 17*d**2 as p*d**2 + g*d**3 + m*d + h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*k*r**5 - 9165466*k*r**2 - 4*k*r + 235769*r**6 wrt r.\nAnswer: -2040*k*r**2 + 28292280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 11*t**2 + 10*t + 9. Let i be y(10). Let k(d) = -d + 3*d**2 - 6*d**2 + 10*d**3 - i*d**3. Let x be k(2). Let h(r) = r**2 + 5*r - 8. Give h(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292509.\nAnswer: 3, 7, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0035 take away -23517593?\nAnswer: 23517599.0035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4\/5 + 676*g**3\/5 + 5522*g**2\/5 + 4844*g\/5 = 0.\nAnswer: -7, -1, 0, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.113129 kilograms?\nAnswer: 2113.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from {w: 6, g: 3, t: 8, h: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60267 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: What is the nearest to 145 in 2\/9, 0.3, -97, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 646 + -8412\/13. Let x = 67\/26 + j. Which is the biggest value? (a) -2\/5 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 95*p**2 - 6*p - 18. Let w be i(6). Suppose 21*l - 3*l = w. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358155 divided by -13265.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 3. Is 10 a factor of j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 78. Let p = h - 34. Calculate the least common multiple of 4\/p*(6 + (-1 - -7)) and 26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/14 and (-19)\/(-4) + 8 + -12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430904.3 decades in months?\nAnswer: 51708516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:12 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 647142.6 litres in millilitres?\nAnswer: 647142600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d - 1. Let y = -6 - -7. Let x(o) = o. Let r be x(y). Calculate u(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*j - 608*h + 612*h, 4*h = -24. Let u(a) = 5*a**2 + 4*a - 3. Give u(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8.86, -0.3, -0.4, -0.14 in ascending order.\nAnswer: -5, -0.4, -0.3, -0.14, 8.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 232 - -470. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) 5 (b) -4\/3 (c) 2423\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (909\/(-42723))\/(1\/(2*-1))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -812373.\nAnswer: 2\/812373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 18*n - 9. Let i(q) = -q + 1. Let r(y) = -9*i(y) - k(y). Let v be (-1 - 558\/15)\/(1\/(-5)). Let w(x) = -2*x**2 + 191*x - v*x + 3*x**2. Give r(w(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21301 is divided by 144.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -92166, -184339, -276512, -368685, -460858, -553031?\n\"Answer: -92173*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 5*y**2 + 42*y - 47. What are the prime factors of s(13)?\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11276020 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1540 - 1537. Solve -c*s + 0 = -15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 5*g - 4. Let n be h(4). Suppose 3*d - 125 = -110. Suppose 6 = w + d*o + 1, -4*o = 4*w - 4. Is w less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w + 36. Let r be u(-8). Suppose -2*h + r*y + 16 = 0, -h = -4*y - 15 + 1. Let z(l) = 3*l**2 - 28*l + 12. Let d be z(9). Solve h*x + d = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/2 - (-9)\/135*3. Which is the nearest to -2\/27? (a) m (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 + 12019915*l**4 - 2*l**3 + 1128878565*l**2.\nAnswer: 60*l**2 + 288477960*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - 0.95. Suppose 1 = 2*t - 3. Let d be 0\/(t + -4 - -1). What is the nearest to x in d, -3\/8, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 26)*(-19)\/(37 - 56). Put -1, 27, o in decreasing order.\nAnswer: 27, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 337, 576, 865, 1198, 1569?\nAnswer: 1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 2 - 14 = 0. Determine z so that -135*z**4 + 140*z**5 - 50*z**p - 46*z**2 - 7*z**3 - 8*z**3 + 106*z**2 = 0.\nAnswer: -2\/7, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -13*o + 15*o + 1560, -2*y = 4*o - 1584. Calculate the greatest common factor of y and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*l - 91 = -363*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4\/9 (b) 4 (c) -1\/3 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1466 - 2269 = 249*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(891) - (sqrt(275) + 2).\nAnswer: -14*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*q + 2*q, -4*y - 5*q = 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3506\/5 + -701. What is the closest to 5 in 2\/3, -0.5, -0.3, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 6*w**2 + 71*w - 2. What is the units digit of m(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g - 3*g + 8*g + (-1 + 1 + 2*g)*(4 - 6 + 0) - 7*g + 7*g + 7*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 minus -24291.4036?\nAnswer: 24688.4036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from ctv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -116321.49145 rounded to the nearest ten?\nAnswer: -116320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4209832\/7023081 + -602\/5809. Let j = 14\/47 - 1255\/4371. Let i = p + j. Calculate the common denominator of -27\/2 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*x = 9259 + 1355, x - 2124 = -w. Suppose -9*j = -w - 3279. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**3 - 4*m - 4*m - 2*m + 10*m.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 838*o + 814*o - 1656*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932573 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3755 or 52565\/14?\nAnswer: 3755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -10)*(-6)\/(-7). Let w be (14\/x)\/((-16)\/(-24)). Which is bigger: -5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, u: 1, m: 1, d: 1}. What is prob of sequence ky?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*l = -2*m + 20, -2*l + 4 = -2*m. Let i be (18\/16)\/(m + (-7)\/2). Let f = 695\/9 + -77. Sort i, -0.04, f in descending order.\nAnswer: f, -0.04, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/6 - 36541*v\/6 - 5364260\/3 = 0.\nAnswer: -36245, -296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 1, e: 7, z: 1, r: 6}. Give prob of picking 1 l and 1 e.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + (-3)\/(-3). What is the nearest to 0.1 in 2\/9, g, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/7 (c) 5 (d) 3\/4 (e) -6\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q - 18103 = -42171. Calculate the remainder when q is divided by 119.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 - 2 = 0. Let o = -1\/784 - -1593\/19600. Which is the closest to o? (a) r (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 123 (c) -2\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 73 + (3 - (-5 + 3)). Let m(y) = -90*y**2 - w*y**2 + 272*y**2 - 86*y**2. Let b(r) = 2*r**2 + r**2 - 2*r**2. Give m(b(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q)**(2\/11)*(q**(-16)*q)\/q**5 assuming q is positive.\nAnswer: q**(-222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/(q*q*q**(-3\/5)*q))**(-7\/5)\/((q**(-2)\/q*q\/(q\/((q*q\/q**(-2\/13))\/q)))\/(q**(-1))**(2\/23)) assuming q is positive.\nAnswer: q**(-45454\/7475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Suppose 0 = i + 3*q - 10 - 15, 3*i - 45 = -3*q. Solve -3*h = p*h - i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 4 + 6 + -7. Suppose -o - 3*o = 2*h + 26, -5*h + 2*o - 5 = 0. Put 0.21, u, h in descending order.\nAnswer: 0.21, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 104 + 109 + 0*x - x**2. What is l(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 - 74 - (-1 - 4) - -28.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 11 + (1 - 8). Which is bigger: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*z - 5, 3*z + 1 = -0*z - 16*n + 15*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 6758*s + 1164849. Give o(177).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001272 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q + 3*q. Let x = -0.8 + -7.2. Let p = -5 - x. Which is the third biggest value? (a) q (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3285 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 - u - 8. Give z(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*((-7)\/(-21))\/((-3)\/(-6)). Let t(n) = n**3 + 7*n**2 + 8*n + 2. Calculate the remainder when 104 is divided by t(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1574 by -248141.\nAnswer: -1574\/248141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8 - -11) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117830 is divided by 1859?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/21? (a) 0.06 (b) 12 (c) -0.03 (d) -2\/17 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 73870\/(-60)*-70 - 2\/3. Suppose -3*i = q - 17231, 6*q - q + 2*i = l. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1365 = 1359. Suppose 5*j + 2*w = 4*w + 40, w = 0. Let l = 14 + -8. Solve -4*c + j = -r*h, -5*c + 3*c = -2*h - l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80010, 159882, 239650, 319314, 398874, 478330, 557682?\nAnswer: 636930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1575*f. Let l(x) = 18*x**2 + x. Calculate l(a(q)).\nAnswer: 44651250*q**2 + 1575*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 59*w - 16*w + 0*w**2.\nAnswer: -5*w**2 + 43*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 834861 to the power of 1\/2, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -150890 divided by 5\nAnswer: -30178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8) - (-6)\/4. Suppose 7*l = 3*l + 28. Suppose -35*q + 517 = 12*q. Solve 4*h = -2*x - q - l, -5*h = s*x + 22 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -39677*p**2. Let c(d) = -1489*d. Calculate c(h(v)).\nAnswer: 59079053*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46153 - 3138345\/68. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3}. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3 - 2*t + 0*t + 5*t - 2*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s - 8. Let h(w) = -w + 1. Let l(z) = -c(z) - 6*h(z). Let v(d) = 1 + 5 - 7. Let j(x) = x**2 - 2*x - 2. Let k be j(3). Calculate k*l(b) + 3*v(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/18 + (-2)\/12. Let j = -23.1 - -22.1. Let m be (-1)\/(-2) - 13\/10. Put j, m, i in descending order.\nAnswer: m, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124920.0674 to the nearest one thousand.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - (-2 + 7) - (-5 + (8 - (-5 + 6))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 1. Let i(y) = -68*y**2 - 3*y + 13. Let o(a) = -i(a) - 3*j(a). What is the second derivative of o(n) wrt n?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 265*c + 23. Let u(l) = -l**2 - 794*l - 80. Determine -7*o(r) - 2*u(r).\nAnswer: 2*r**2 - 267*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 2. Let a be u(2). Suppose 3*v = v + a, v = 4*o - 27. Suppose 0*z - 16 = -4*z. Calculate the lowest common multiple of z and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30, 47, 50, 33, -10?\n\"Answer: -u**3 - u**2 + 27*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/4, 0.2, -0.01 in ascending order.\nAnswer: -2\/5, -1\/4, -0.01, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 6. Let q(l) = l + 1. Let j(d) = -k(d) + 6*q(d). Let w(s) = s**2. Calculate j(w(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 15, l: 3, m: 2}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 - 923*b**2 + 5349848*b\/5 - 58291244\/5.\nAnswer: (b - 2302)**2*(b - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715091958?\nAnswer: 2, 3, 7, 5675333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5 = -5*l + 27, 0 = -5*w + 2*l + 22 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 16. Suppose -4*q + 11 = -3*q - 3*u, 0 = -2*q + 4*u + 24. Suppose -8*h + q*h = 18. What is the nearest to d in h, 2\/7, 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531.454707 minutes to weeks.\nAnswer: 0.05272368125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 - u**4 + 3*u**4 - 55*u + 1 - 2*u**3 + 0 - 96*u + 25*u in the form r*u**2 + v*u**4 + q*u + k + s*u**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 946*n**3 - 264*n - 132. Let j(z) = -2*z - 1. Give -h(q) + 132*j(q).\nAnswer: -946*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 14*m + 22607 = 5*s, 4*s - 2*m = 18090. Calculate the least common multiple of 6460 and s.\nAnswer: 45220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k + 5. Let f be i(0). Suppose -8*d + f*d + 12 = 0. What is the smallest value in d, 0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, -2454, -10688, -27136, -54636?\nAnswer: -96026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*a - 3744 = -10*q + a - 3614, 0 = a - 75 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35148880?\nAnswer: 2, 5, 13, 33797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21159546081.52 - 0.1?\nAnswer: 21159546081.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 881100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*d + 1644 + 422, -3*j - 4*d = -3099. List the prime factors of j.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/60 - z**3\/6 + 2*z**2 + z. Let q(m) be the first derivative of r(m). Suppose q(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -5*i - 8*v + 7*v, 0 = 5*i + 5*v - 95. Let h = -22 + i. Which is smaller: 6\/143 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 58.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99274895 is divided by 2824.\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/68*(-9)\/(-54))\/((-1)\/(-12))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64750, -129491, -194232?\n\"Answer: -64741*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - -17. Let h(i) = u - 7 - 2*i - i**2 + 4*i - i. What is the remainder when h(0) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**2 - 3*w - 1. Let j be p(1). Suppose -2*t + 4*c = j*c - 69, -t = -4*c - 12. What is the smallest common multiple of t and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0691 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/6)\/(120\/150)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448\/(11 + -39) + -21.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-6))\/((-10)\/15). Let g be (-4)\/15*23\/(1840\/24). Let y = 2.1 + -2. Put g, y, f in increasing order.\nAnswer: g, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2472511959.5 - 19399.\nAnswer: -2472531358.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 v, and 1 q when four letters picked without replacement from {v: 1, i: 1, q: 1, r: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*m**2 + 2*m + 3*m + 59*m**2 + 3.\nAnswer: 122*m**2 + 5*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 22 = -4*z, -1 = z + 4*d - 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 3, 1203, -9\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182268745 rounded to 4 decimal places?\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -2677*n**5\/5 - n**4\/4 + 16*n**3\/3 - 44*n - 1256. Find the third derivative of m(v) wrt v.\nAnswer: -64248*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29290)\/1010 - (-28 - (-6 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.621 + -9702910231.\nAnswer: -9702910248.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486)*-1 - sqrt(486))\/(sqrt(9)\/(sqrt(12)\/sqrt(4))) + 0 + (-3*1*sqrt(242))**2.\nAnswer: -18*sqrt(2) + 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 58, 150, 296, 514?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -55*m - 128. Let l(g) = 7*g + 17. Give -6*a(s) - 41*l(s).\nAnswer: 43*s + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 269 = 3*i, -262 = i - 4*i - 5*b. What are the prime factors of i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h**2 - 12*h + 65. Let q be v(6). Calculate the greatest common divisor of q and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (500 - 500 + 25*b**3)*(-6*b**2 - 5*b**2 - 2*b**2) + (-2*b + b + 5*b)*(2*b**3 - 2*b**3 + b**4) + 2*b**5 - 5*b**4 + 5*b**4.\nAnswer: -319*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 187 + 194 + (-1 - 1 + 1)*(3 - 5 + 1) - 1 - 2 + 2)*(2*y - 10*y + 0*y).\nAnswer: -2752*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.8064031 milliseconds in days?\nAnswer: 0.00000017137040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q - 36. Does 5 divide m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 1. Suppose -3*i = 5*j + 21, 1 + 0 = 3*j - 5*i. Let u(q) = -3*q + 3. Let k(p) = j*u(p) - 6*c(p). What is the units digit of k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 minus 382?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 39438*s - 39436*s + 0*s**2 + 5*s**3.\nAnswer: 5*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or 0.011?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m - 243. Calculate x(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4145, 8299, 12451, 16601?\n\"Answer: -u**2 + 4157*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnvnvvvvnvvvvvvvv. What is prob of sequence vn?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3 + 1171017*h**2 - 31943103*h.\nAnswer: -6*h + 2342034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*d = 82*d + 2*k + 40758, d + 2*k = 40730. List the prime factors of d.\nAnswer: 2, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781*f = -5248*f + 205482 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1010010010010110 (base 2) to base 7\nAnswer: -233561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**2 + 5219*q - 5219*q.\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 3*f**2 - 56*f + 23 - f**3 - 65 + 3*f**3 + 13 as x*f**3 + l*f**2 + g*f + w and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20010341 (base 5) in base 2?\nAnswer: -100110010100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 2, 3, 6, -12, -11 in descending order.\nAnswer: 6, 3, 2, -11, -12, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -244 - -244. Let w = 1.95 - 2. Let x = w + -0.15. What is the closest to -0.2 in -0.5, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4297954 weeks to hours.\nAnswer: 72.2056272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 q when three letters picked without replacement from qtefkkf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2000890344?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-3)\/sqrt(4).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 728842 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4092.950070442 from 234.\nAnswer: 4326.950070442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**8\/3528 - 2*x**7\/2205 + x**5\/315 - x**4\/252 + 15*x**2 - 10. Let o(w) be the second derivative of i(w). Factor o(g).\nAnswer: 2*g*(g - 1)**3*(g + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**2 + 1511*v - 2790. Give f(187).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115828695.\nAnswer: 3, 5, 167, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*k + 502*k = -655*k + 133*k + 52839 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 = u. Let q be 4*(-2 + 13\/4). Suppose q*a + 50 = -5*s, 7*a + 5*s + 45 = 3*a. Sort u, a, 5 in descending order.\nAnswer: 5, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185245?\nAnswer: 5, 223, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 384805, 1539289, 3463447, 6157279, 9620785?\n\"Answer: 384837*t**2 - 27*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 20, 39, 56, 71, 84?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 + 0*d**2 - 3*d - 6*d**2)*(13196 + 14104 + 7568 + 3490 - 10163) to the form j + w*d + k*d**2 and give k.\nAnswer: -56390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 take away -957?\nAnswer: 957.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = r - 0*b + 2, 0 = -r + b - 2. Let m = 16 - 20. Put 0.2, m, r in increasing order.\nAnswer: m, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03033*0.3\nAnswer: -0.009099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 177. Let v(c) = 35*c - 37. Calculate o(v(q)).\nAnswer: 70*q + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/183961 and 103\/210?\nAnswer: 38631810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*x**2 + 3)*(3*x**2 - 2*x**2 + 0*x**2) + 3*x**4 + x**4 + 0*x**4 + 2 - 2 - x**4 to the form w*x**3 + k + t*x + h*x**4 + i*x**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 e, and 1 f when four letters picked without replacement from eecegiifeeffi.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -91, -90, -89, -88, -87, -86?\n\"Answer: p - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qec when three letters picked without replacement from {r: 4, q: 5, c: 1, e: 5}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b = 3*n - 45*b - 15, -4*b + 20 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:02 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 0*k**2 - k**2)*(-10 + 6 + k + 0 + ((-2 + 2 - 2)*(-3 - 1 + 6) + 4 + 6 - 3)*(2*k + 4*k - 5*k)).\nAnswer: -4*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171*c**4 - 2*c - 14755 with respect to c.\nAnswer: 684*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + -1 + 196 + -200.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 23, 3, 4.\nAnswer: -5, -2, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 15*d**2 + 15*d + 16. Let i be h(16). Solve i = -2*x + 7*x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14 = 3*f - 2*f, 5*f = -4*k + 28. Solve -n - 6 = -5*j + 4*j, -k*n = 2*j + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.07 + -8. Let s = -0.03 - b. What is the nearest to s in 4\/9, 1\/9, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3100*y = -1553*y - 1547*y + 2*p + 4, 4*y - 4*p = -112 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*q + 3756 - 3756)*(-11 + 3 - 2).\nAnswer: -580*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 3. Let d(o) be the first derivative of o**2\/2 - 20*o - 76. Let f be d(l). Sort -14, -3, f.\nAnswer: -14, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejge when four letters picked without replacement from {b: 2, e: 3, g: 1, z: 3, j: 2, v: 7}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 27*h + 63. Let j be g(-6). Solve -15*q = -j*q + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/4 - 1. Let a be 4\/10 - (-88)\/(-70). What is the closest to h in -1, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 5*f = y + 10, 3*y - f - 12 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {n: 1, w: 1, h: 2, m: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35530 - -35532. Let b(p) = -25*p + 46. Give b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 0 - (-2 + 9). Let h be ((1 + v)\/(-12))\/(20\/60). Suppose -3 = -d - 2. Which is bigger: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 + 123*h**4*m - 2*h*m + 3*h - 15*m wrt h.\nAnswer: 20*h**3 + 1476*h**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*o - 101. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -851 - -868.36. Let m = 0.36 - l. Let f = m + 24. What is the biggest value in f, 0, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**5 - m**5 - 5*m**5 + (-8*m**4 - 6*m**2 + 6*m**2)*(-2*m + 2 - 2) + 1197*m**3 - 278*m**5 - 1197*m**3.\nAnswer: -263*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 46.5, -0.1, -144\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 4 + 4*b)*(1085 - 2494 - 1722) as x + j*b and give j.\nAnswer: -12524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2294595 - 2294594.4651055. Let v = d - 0.535. What is v rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.5 less than or equal to -11422\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:23 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3 - 2*g + 2. Let m(v) = 41*v**3 - 17*v + 17. What is 51*b(l) - 6*m(l)?\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 694200.4 days?\nAnswer: 59978914560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -65, -59, -51, -41?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 15 - -10) + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-52))\/(((-18)\/(-16))\/((-33)\/44))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - 4*q**3 + 3*q**3 + (q**2 - 3*q**2 + 0*q**2)*(q - 3*q + 0*q) + 12*q**2 - 28*q**3 + 25*q**3 - 5*q**2.\nAnswer: 3*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/84 and 19\/12123.\nAnswer: 339444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + c + 2*c + 5 = 0, 0 = 2*c + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/26)\/(5\/(-3)*(-8)\/(25920\/729)).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*z = 1115*z + 407 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 9*h**2 - 19)*(2113*h - 2834*h + 1449*h) to the form m*h**3 + n*h + b + y*h**2 and give m.\nAnswer: -6552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 67.68 from -0.71354.\nAnswer: -68.39354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 + 2673705*y**2 + 357446952720*y + 3216806008020 = 0 for y.\nAnswer: -267366, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/435423 and 5\/21.\nAnswer: 3047961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 533710.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 71, 208, 471, 902, 1543, 2436?\nAnswer: 3623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, u: 1}. What is prob of picking 1 n and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58616 - 78361 = -3*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**5\/20 - 7*v**4\/12 + 3*v**2 + 2*v - 2. Calculate s(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 26859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 14*r - 42. Suppose -2*m - c - 23 = 0, 6*m + 5*c + 43 = 4*m. Let i be v(m). Solve 0 = 4*t + i + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -37392 (b) -0.9 (c) 0.4 (d) -3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 29. Suppose -4806 = -120*s + 123*s. Calculate the common denominator of (-1 - x\/42)\/(12\/s) and -121\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*b**3 + 139*b**3 - 197*b**3 + 55*b**3.\nAnswer: 118*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(7))*-5.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.64674394 - 0.4.\nAnswer: 14.24674394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 12 + 27 = -3*o + j, -31*o - 285*j - 123 = -281*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*a = q + 19, q + 5*a + 13 = 0. Let h = 7 + q. Solve -5*c + 32 = -5*z + z, -h*z - 24 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 439*w - 7. Let l(d) = -1315*d + 24. Calculate -2*l(f) - 7*z(f).\nAnswer: -443*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 12*f**2 - 45*f + 66. Let u be k(17). Let x = u + -737. Solve -2*q + 5*c + x = 0, -q - 5*c - 12 = -9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -56917183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:24 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 649711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a\/a**3)\/a)\/a))**(-29\/3) assuming a is positive.\nAnswer: a**(-145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**22)\/s)\/s**(-19) assuming s is positive.\nAnswer: s**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -340, -339, -338, -337?\n\"Answer: p - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.04 + -5. What is the second biggest value in -1, -3, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 11, -2, -1, 24 in decreasing order.\nAnswer: 24, 11, -1, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-32)\/(-6)) + 590\/(-80). Let f(x) = -x**2 - 7 - 2*x**2 + 0. Let u(p) = -p**2 - 3. Calculate r*u(a) + 3*f(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67616 and 17376.\nAnswer: 36715488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1609*g**3 + 5*g**2 + 817*g**3 + g + 0*g + 800*g**3 + 13*g**4 in the form i + a*g**3 + k*g**4 + o*g**2 + d*g and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65398703.\nAnswer: 19, 167, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavagag. Give prob of picking 2 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*v = -31 - 26, 0 = 5*s + 3*v - 87. What is the greatest common factor of 105 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010001000 (base 2) to base 12.\nAnswer: -b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 + 26 - 2\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-16) + 1547595\/136. What is the units digit of 2*b\/90 - 34\/(-255)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1614)\/4*(-28)\/42 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/10*(-84)\/132*6\/(-7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 325 - 66. Suppose c - 61 = -b. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 863758.4 nanoseconds?\nAnswer: 863.7584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6639.05 rounded to the nearest one hundred?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -680*j. Suppose 3*d - 2*o = -11, 4*o + 21 + 2 = -3*d. Let k be a(d). Round k to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -29*z**2 + 4438*z - 57. Calculate h(153).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = -0*u. Let d = u - -7. Calculate the remainder when (132\/(-20) - -7)*(-2 + 67) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26027 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.004 (b) -1 (c) 0.2 (d) 4 (e) -84\/25 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 1\/3, -4, 280?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1590440 by -2.\nAnswer: 795220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 328.028 + -0.028. Let z = o + -324. Which is the third biggest value? (a) z (b) -0.1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -168793, -168775, -168757?\n\"Answer: 18*t - 168811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 0, 19*f = 3*v + 23*f - 80. Let o(a) = v*a**2 + 274*a + 282*a - 556*a. Let w(p) = -5*p**2. Determine o(w(r)).\nAnswer: 700*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 18 = 5*d - 1, l = -4*d - 14. Let z = -29\/1171 - -66406\/80799. Let m = -3\/23 + z. Sort 2\/9, m, d.\nAnswer: d, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 17 = -c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.47 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 5*f**2 - 2*f + 1. Let w be 2\/(-5) + 13\/(-5). What is the tens digit of d(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = 135*m - 103*m. Let y = -1 - -1. Suppose 0 = -y*x - x + 75. What is the greatest common factor of x and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 0. Let b = 13 + j. Does 6 divide 6*-4*(-2)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*b - 15, 0*u - 12 = -4*u - 2*b. Solve u*l + 10 = v, -v = 3*v - 3*l - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 + 0.05. Let k = 283.8 - 359. Let j = k - -75. Which is the second biggest value? (a) f (b) 12 (c) j (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 2*b + b. Let u(d) = 17*d - 6. Let x(y) = -29*y + 10. Let t(p) = 10*u(p) + 6*x(p). Calculate a(t(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {w: 1, t: 2, h: 5, j: 11}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**(-2\/17)*f))\/f)\/f)\/(f\/(f*f*f*f\/f**(2\/7)*f)))\/(f**(-1\/2)\/((f\/f**(2\/13))\/f)) assuming f is positive.\nAnswer: f**(6739\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7 - 2*n + 2 - 2. Suppose -5*u = u - 42. Let r(f) = 0*f + u*f - 20 - f. Give 17*d(t) + 6*r(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 102962208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13304070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 4:52 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 2*h**3\/3 + 5*h**2\/2 + 4*h + 12. Let n be i(-2). Let 1\/2*a**3 + 0*a + 0 + a**n = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(sqrt(187)\/(-2*sqrt(11)) + sqrt(136)\/(sqrt(8)*2)))**2 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 11 = -9*f - 16*d, -4*f + 24 = -3*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 43 = -2*v. Suppose -2*a - v - 1 = 0. Let l be ((-10050)\/1)\/((-8)\/a). Round l to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 8*s + 3. Let w be 4\/(-18) - (6670\/45)\/(-1). Suppose 207 = 5*v - w. Calculate the remainder when v is divided by p(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 120*d + 8*d**2 + 124*d - 5 + 4*d**3.\nAnswer: 4*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2209 * 6\nAnswer: -1.3254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 14 = 2*g - 3*s, -5*g + 4*s = -23. Suppose -g*v + 0*t + 38 = -4*t, 3*t = 3*v - 39. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201156642 to the nearest integer?\nAnswer: 14183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/33*6\/4 + -3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -87.000004. Round q to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430 and 2021?\nAnswer: 20210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -44. Suppose -15*z + b*z = -25. Suppose -z = -2*r + r. Solve 0 = 2*a - r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6692837651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170 + 188 - 306)*(-5 - 5*u + 0*u + 4) - 2*u - 1 + 1 + (1 + 0 - 3)*(-u + 5*u - 2*u).\nAnswer: -266*u - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*h + 6, -2*g + 14 = -5*h - 1. Let t be (4\/(-7) - -1)\/h. Let c be 44\/(-330) + 1\/3. What is the fourth biggest value in 0.3, t, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.7 + 5. Let w = 0.29968 - x. Round w to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-258)\/(-9))\/(2\/3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332469 - 435.\nAnswer: -332904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1674, 2925, 4176, 5427, 6678, 7929?\n\"Answer: 1251*r + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose r*w = 3*w - 4. Suppose 0 = -w*z + 26 + 10. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 721 + -705. Calculate the highest common factor of 24 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100052781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 206*b + 28. Let g be 9 - (-30)\/(-5) - 1. List the prime factors of x(g).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 85.1. Let w = z + -86. Suppose -2*q = 3*q + 25. What is the nearest to 1 in q, -6\/7, w?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56977723 and 1137.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, 10, -11.4 in decreasing order.\nAnswer: 10, -2.3, -11.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5015556*v - 586101029 wrt v?\nAnswer: -5015556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((4 + sqrt(176))**2 - (2*sqrt(539) + sqrt(11)) - sqrt(22)\/(-3*-1*sqrt(2))) + 2.\nAnswer: 50*sqrt(11)\/3 + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1422 and 22?\nAnswer: 15642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 402*b + 233. Let a(o) = -401*o - 230. Let l(t) = -2*a(t) - 3*r(t). Is l(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 12, 0.321?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/(6\/36). Suppose 0 = 6*g - 16*g - 2660. Let h = g - -268. Solve 9 = -y*v - j, -3*j - h*j = 4*v + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-75))\/((-6)\/15) - (-806915)\/(-13638).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/596098187 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 404 + 388 = 4*k, 2*y - 2*k - 306 = 0. Let b = -19101\/20 + 960. What is the common denominator of (-285)\/y*6\/(-15) and b?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 5*b**2 - 4*b - 8. Let i be y(6). Suppose -4*f = i - 76. Suppose 2*q + 4*o = f, o = -2*q - 2*o + 20. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 23*q**2 + q - 5. Calculate u(-23).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 q, and 1 c when three letters picked without replacement from yqccqcqqqxn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmhm when four letters picked without replacement from {n: 2, m: 4, x: 3, p: 3, h: 2, r: 4}?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 11*g - 20. Suppose g*m - 21 = 4. Suppose 8*x = 9*x - m. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -292*m**3*n - 19*m**3 - 24*m**2 - 47275*m*n - 14*m wrt m.\nAnswer: -1752*m*n - 114*m - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26331 and 2211?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -2 (c) -2\/29 (d) -59 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164448770001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 452 + -437. Let t = 6 + 9. What is the remainder when v is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940178201 to the power of 1\/2, to the nearest integer?\nAnswer: 30662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 44872147 * -0.3\nAnswer: -13461644.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 4*a + 6, -2*s + 7 = -a. Put s, 4, -0.5, -2\/5 in ascending order.\nAnswer: -0.5, -2\/5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11746860 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -76*j**2 + 2*j - 2. Suppose 2*i - 2 = -y, 3*i - 2*y - 5 = -2*i. Let g be t(i). Let w = g + 87. What is the least common multiple of w and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068007 is divided by 569.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 34. Which is smaller: -1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 23. Let o be (-4)\/((-39 - 1)\/10). What is the remainder when o\/(-6) - (-21311)\/606 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7635293 grams to micrograms.\nAnswer: 763529.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -0.29, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1062003 + -1900189. Let f = 838186.0699958 + b. Let t = f + -0.07. Round t to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 161\/46 - (-1)\/2. Suppose 0 = v - 5*j + 164 - 728, r*v = 2*j + 2202. Calculate the highest common factor of 61 and v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/(-12 + 321545\/26796) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3304104041 (base 5) to base 8.\nAnswer: -33046064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 168477 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 3*c**2 - 3*c + 2. Let j be s(2). Let o be (-1)\/(-2 + 4 - 7). Let d = -2 + 3. What is the closest to d in -4, j, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1487264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15305?\nAnswer: 5, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/10)\/(10\/25). Suppose c - 10 - 1 = q*a, 3*a = 0. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5\/2 - 6*g**4 + 35*g**3\/2 - 10*g**2 - 18*g + 16 = 0.\nAnswer: -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 - 8112*n + 122130 = 0.\nAnswer: -4071, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 50\/2231 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -175*u**3 - 655290*u**2 - 467925*u + 187190 = 0. What is u?\nAnswer: -18719\/5, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/7 - (-1 + -2). Find the second derivative of -2*s + 9*s + 4*s**4 - 2*s**g - s**4 wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570 and 18705.\nAnswer: 710790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563 + 263 = 4*b - 232 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20057, -80211, -180461, -320801, -501225, -721727, -982301?\nAnswer: -1282941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from tttuduuwdeutdu.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 47\/(-7) + (-12)\/42. Let a = t + 12. Suppose -4*z + 25 = -3*d, -2*z - 3*z + 5 = a*d. Put z, -5, 3 in descending order.\nAnswer: z, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*8\/(-312)*(-4)\/10\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28553.32nm to centimeters.\nAnswer: 0.002855332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2420263 is divided by 403351.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110001011021 (base 3) to base 5.\nAnswer: 144042411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9649 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 v be ((-96)\/360)\/(28\/14) - 74\/(-105). Factor -8\/7*j + v*j**2 - 32\/7.\nAnswer: 4*(j - 4)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 2\/9, -0.0347694, -4, -1\/7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/3626 and -71\/48951.\nAnswer: 97902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109363*r**3*t**3 + 4007*r**3*t - r**2 + 366879*r*t + 34*t**3 wrt r.\nAnswer: 656178*t**3 + 24042*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, r: 1, s: 3}. Give prob of picking 2 s and 2 z.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c6 + 12100a?\nAnswer: 120414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 105?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*j - 208*j = -120*j - 500 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*m**3 + 11927 + 458*m**3 - 11927.\nAnswer: 595*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*z + 9, -3*z - z = 5*w - 7. Suppose -32 = -v - z*v. Let h(i) = -i**2 - 12*i - 10. What is the smallest common multiple of v and h(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*m + 16866 = -570*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (2 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4187.4 - -4188.38324. Let w = x + -1.0737. Let a = 0.09 + w. What is a rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6938\/58817?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.164 + -0.064. Let h = m - 2.1. Let b = 1\/23 + 18\/115. What is the closest to 1 in b, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4864593 days?\nAnswer: 700.501392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 222613480 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:36 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -485176 divided by -2?\nAnswer: 242588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27101496 a multiple of 1840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.025*0.064\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6106178285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/40*(-10)\/4. Find m such that m**3 - 3*m**2 - 3*m**2 - 4*m**q = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*a - 172, -3*w = -a + 6*a - 217. Let b = a + 104. Let g = b + 1. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -963?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005032 rounded to six decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 608 and 181?\nAnswer: 110048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11 = l - 6, 5*l - 40 = -5*w. Let j = -7 + w. Let v be (-2)\/6 + 10\/3. Sort j, v, 1 in decreasing order.\nAnswer: v, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 349.681 nanometers?\nAnswer: 0.000000000349681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -120*v**2 - 14*v - 3. Let n(t) = -147*t**2 - 16*t - 4. Let b(y) = 3*n(y) - 4*s(y). Factor b(m).\nAnswer: m*(39*m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346721, -346748, -346775, -346802, -346829, -346856?\nAnswer: -346883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 1 o when three letters picked without replacement from {c: 1, o: 1, i: 1, s: 2, l: 1, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 216 - 76 - 55*s - 68.\nAnswer: -55*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 + -544. Let h = -217 - u. Is h - (1 - 0)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let n(j) = 2 - j**3 + 0*j**3 - 3*j - j**3 + 4*j**2. Let x be n(2). Which is the closest to y? (a) -5 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 a factor of 20268226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-7)\/(42\/(-640)). Suppose 36 = 3*v + 4*q, -5*v - q + 48 = -46. What is the highest common factor of v and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408584 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 15 = -4*p, 63 = 5*p + 4*g + 21. Suppose -c + 16 = 2*i, 4*i - 48 = c - 4. Let h(f) = 14 - 6 - i + f. What is h(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96867414 divided by -1793841?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001278533 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6778.\nAnswer: 2, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*c - 80*c**3 + 320*c + 330*c - 990*c - c**2.\nAnswer: -80*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:30 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from agmpgmpppgmhhg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4da - 5?\nAnswer: 4d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 1. Let m = -46127\/61500 + 1\/30750. Which is the nearest to q? (a) -0.6 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 2:02 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 232 + -232. Suppose 5*g + 295 = 4*j, -5*j - 3*g = -m*j - 341. Is 70 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 582 and 10331470.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s + 5*y, -3*s - 5*y = 0. Suppose 2*k = -s*k. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15910 is divided by 153?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(325) + (1 + sqrt(325))**2)*2*3*5.\nAnswer: 1800*sqrt(13) + 39120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25729206 to the nearest integer?\nAnswer: 5072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -2*k**3\/3 - 51*k**2 + 4*k + 4918. Give v(-51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 - 8 = 0. Let d(k) = 2*k - 3. Let u be d(y). Solve 0 = 6*b - b - 2*h + 19, 0 = -u*b + h - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 54*l**2 + 2 + 0 - 27*l + 55*l**2 to j*l + s + m*l**2 and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 32295?\nAnswer: -581310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/16 and 27\/39924520.\nAnswer: 79849040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -5 - 2)*-1. Let r = m - -7. Suppose -r*w + 19 + 36 = 0. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - ((sqrt(102) - sqrt(102)*-1) + sqrt(102)))*-3*-1)\/(-1*sqrt(2352)\/sqrt(8)) + 1 + -1.\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -11, -34, -77, -146?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 9 + 7. Solve -f*u + 12 = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214026\/(-4)*(-90)\/135 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.24 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -0.8664?\nAnswer: 1.1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + -1*sqrt(175)*3 + -5)*-6)**2.\nAnswer: 3600*sqrt(7) + 26100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02020044 to 5 decimal places.\nAnswer: 0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 + 10*z + 3. Let b(l) = l**2 - l. What is -b(d) - h(d)?\nAnswer: 2*d**2 - 9*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssdf when four letters picked without replacement from {f: 1, e: 2, o: 1, s: 2, d: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + z + 39, 4*k = -3*z - 0*z + 65. Suppose -4*l + 3 = -0*l + 3*g, 2*l + 4*g = k. What is l rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/6 - 14*d**2 - d. Let i(b) = -21*b. Give i(q(x)).\nAnswer: -84*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 <= -15758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -4, 115, -5, 0, 2, 24 in descending order.\nAnswer: 115, 24, 2, 0, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/12 - 1 - (-957)\/7308?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4757.64 rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 11*m + 24. Let y = m + 30. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147773.2 rounded to the nearest 100?\nAnswer: -147800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2*b + 4*b)*(51*b**2 - 51*b**2 + 148*b**4 + (2*b - 2*b - b**3)*(-2*b + b - b)).\nAnswer: -150*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52 - -3*(-2)\/(-3). Let t be (-7 + 12 + -113)*(-6)\/8. Calculate the highest common divisor of t and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a**5 - 889*a**4\/3 - 1153*a**3 + 482*a**2\/3 + 4516*a + 12296\/3 = 0. Calculate a.\nAnswer: -2, -29\/18, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**7\/210 - 3*i**6\/40 + 13*i**5\/60 + 15*i**4\/8 - 25*i**3\/3 + 82*i**2. Suppose z(j) = 0. Calculate j.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(891) - -1*sqrt(891)) + -2 - sqrt(891))*-6*2 - (1 + sqrt(891) + sqrt(891) + 3 - sqrt(891) - (sqrt(891)*2 + 2)))**2.\nAnswer: -433180 + 17424*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 6 = 19*q - 13*q. Let z(d) = -18*d + 61. What is z(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**3 + 3*y**2 - 4*y + 2. Let x(j) = -6*j**3 - 2*j**2 + 3*j - 1. Let z(s) = -3*d(s) - 4*x(s). Is 14 a factor of z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -920 less than -929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3318 + -1220. Round t to the nearest 10.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81482 (base 13) to base 4.\nAnswer: 320200223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = 2*h - 3*h, 4*h - 5 = -3*s. Solve 3*o = -6 - s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -355. Suppose 5*s - 832 = d. What is the greatest common divisor of s and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/9, 1, -2, -2\/3, 5 in descending order.\nAnswer: 5, 1, -2\/3, -2, -20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 5*d + 12. Let p be (8 - (5 - 2))*-1. What are the prime factors of a(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**3 + 2*o. Let b = 328 + -332. Let v(j) = -j**3 - j - 1. What is b*v(w) - k(w)?\nAnswer: -2*w**3 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*f*u**3*x + 5*f*u**3 + f*u**2*x + 70*f*x + 2*u**3*x + u**3 + 3*u**2*x - u*x + 29*x wrt u?\nAnswer: 468*f*x + 30*f + 12*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 662, 1177, 1970, 3047, 4414, 6077?\n\"Answer: d**3 + 133*d**2 + 109*d + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 556 - 275 - 281 - 368*i**2 to r*i + l + v*i**2 and give v.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000090944 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14*u**2 + 6*u + 6. Let f(s) = s**2 + s + 1. What is 6*f(h) - g(h)?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211 and 8651.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + x + x. Let y(u) = 14*u**2 + 3*u - 3. Let k(t) = -15*t**2 - 4*t + 4. Let l(o) = 3*k(o) + 4*y(o). Give g(l(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:36 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 4. Let j be -1 - (0 + -1) - p. What is the third derivative of -2*g**2 + g**5 - g**5 + g**j wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opotllwg. What is prob of sequence pwl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30161844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 122423 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 20006*f + 339896. Give h(-17).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -123, -283, -507, -795?\n\"Answer: -32*p**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {x: 3, l: 4, j: 2, f: 6}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 19*n**2 + 4*n - 31. Let d be g(5). Solve 226*k**5 - d*k**5 - 20*k**2 + 75*k**4 - 60*k**3 + 218*k**5 = 0 for k.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49056825?\nAnswer: 3, 5, 107, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -82. Which is bigger: o or -71?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -5 - 111)*-1. Let v = h - 101. Calculate the highest common factor of v and 312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2*w + 8)*(-w**2 + 3*w**2 + 3*w**2).\nAnswer: -10*w**3 + 25*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180269 divided by -2539.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 16. Let j(o) = o + 5. Let q(k) = -2*f(k) - 7*j(k). Let x be q(4). Are 1 and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 9901812360.\nAnswer: -9901812363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3639504 divided by -6\nAnswer: 606584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19918067, 19918051, 19918035, 19918019, 19918003, 19917987?\nAnswer: 19917971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**2\/2 + 11*p - 572. Calculate z(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3402)\/1458)\/((-28)\/432)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let l = -12 + 16. Solve 0 + 12 = -l*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2*sqrt(1375) - sqrt(55) - sqrt(440)\/sqrt(32)))\/((5*2*sqrt(15))\/(-1*sqrt(27))))**2.\nAnswer: 52371\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence andd when four letters picked without replacement from {a: 5, n: 1, d: 7}?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -294 - -296.3. Let w = 6.7 + k. Suppose 0*y = y - 3*h - 2, -10 = -5*y + 4*h. What is the fourth biggest value in w, 0.5, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 + 2. Let k be (-2*(-6)\/10)\/((-52)\/(-130)). Sort r, -2.7, k in decreasing order.\nAnswer: k, r, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*t = 1075, 3*t - 4*t - 702 = -2*q. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = -12. Let x be 53\/2 + 3\/m. Suppose x = u - 56. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9656 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.13 (b) 53.3 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/12 + 12\/18. Let y(a) = 3*a - 14. Let k be y(6). Suppose -3*j = -k*j. Solve 2*d + z = -j*z + h, 3*d + 4*z = 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhffhf. What is prob of picking 3 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {y: 7, d: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkii when four letters picked without replacement from {x: 2, f: 5, i: 2, g: 6, n: 1, k: 3}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(7\/(-63))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/308 and -17\/1288?\nAnswer: 14168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -10) + 4 - (-81)\/(-6).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (6\/(-3) + -10). What is the tens digit of (705\/(-10))\/((-22)\/y + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1, 0.3, 13, 0.04, -215?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 50016?\nAnswer: 50015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004354536 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 9:11 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 28292056\nAnswer: -28292066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a week in minutes?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((-6)\/32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b + 146 = -88 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22.7 in 60, 4\/9, -0.5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - -2 - (86 + -85).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 - 2. Let a be c(0). Let x(n) = 4 - 4 - 5*n. Give x(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i)**(-8\/15)\/(((i**(-34)\/i)\/i)\/(i*i**(-10\/7)\/i)) assuming i is positive.\nAnswer: i**(718\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-10) - 4)*104\/(-936)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = 9*x - 104. Let t(w) = w**3 - 3*w**2 - 4*w + 21. Let n be t(4). Which is bigger: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.2. Let s = -29.4 + 12. Let l = -17 - s. Put 3, l, w in decreasing order.\nAnswer: 3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 4*s**2 - 4*s + 2. Let n be o(2). Let r be ((-1)\/n)\/((-1)\/8). Solve -q + r = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83807151.\nAnswer: 3, 53, 67, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -1319\/94?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60100 by -10.\nAnswer: -6010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*s - 287*s - 6851 = 76*s + 57505 for s.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3682178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2960, 5913, 8866, 11819?\nAnswer: 14772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 42 + 5 - (4 + -2 + 90)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.185*0.4\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 90405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 28*u + 104. Let z be d(4). Put z, -2, 6 in increasing order.\nAnswer: -2, 6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001001100110 (base 2) to base 11.\nAnswer: 976a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6426688.48 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86 and 48?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 2 - 1)*(0*k + k + 0*k)*((-1 + 2 - 3)*(2 - 2*k - 2) + (5 + 5 - 12)*(0*k - k + 0*k)).\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**7\/252 + w**5\/72 - 7*w**2\/2 - 13*w. Let a(n) be the first derivative of l(n). Let a(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*l - 2*l. Let c be 3\/2*(-8)\/l. Suppose -c*y - 15 = -3*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 7 (c) 3 (d) -0.4 (e) 1 (f) -13 (g) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/2 (b) 2\/7 (c) -1568 (d) 7 (e) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*c = 24, -19 = -f - 2*f + 2*c. Suppose -2*h - p + 29 = 0, -f*p - 9 + 0 = 0. Suppose s = -3*s + h, -3*m - 5*s + 20 = 0. Solve m = 4*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74226, 74260, 74294, 74328, 74362, 74396?\nAnswer: 74430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 187 - 4*b**2 + 174 + 3*b**2. List the prime factors of i(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16*i - 20*i + 8322180 = 0, 5*r - 20805505 = i. Round r to the nearest 10000.\nAnswer: 4160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 94. Let v(f) be the first derivative of 3\/4*f**2 - 1 + 0*f - 1\/2*f**d. Factor v(p).\nAnswer: -3*p*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214575974 a multiple of 2174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11487620 by -5743810.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -4) + 1810\/(-455). Let i = x - 4\/13. Let f be (-10)\/(-4)*24\/330. What is the nearest to 0.4 in f, i, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.45595mm to centimeters.\nAnswer: 4.145595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + -7.5. Let j = -11.3 + 1.3. Let b = g - j. What is the third biggest value in b, -3\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**3 - v. Suppose -4*n + 10 - 2 = 0. Let t = -1 + n. Let a be g(t). Calculate the greatest common divisor of a and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 72656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**5 + 60*d**4 + 70*d**3 - 10*d**2 - 100*d + 25. Let o(q) = -q**5 + q**4 + q**3 - 3*q**2 + q - 1. Let y(i) = -25*o(i) - u(i). Solve y(m) = 0.\nAnswer: -1, -3\/4, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2955522.\nAnswer: 2, 3, 492587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2299)*-2 + sqrt(2299) - (sqrt(2299) - -4*sqrt(2299)*-1)**2) + -6*((3*sqrt(1539) + -1)**2 + -4).\nAnswer: -103779 + 357*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = -256 + 388. Let h be (-594)\/(-21) - (-2)\/(-7). Suppose -k + c = -h. Calculate the remainder when k is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343436.\nAnswer: 2, 23, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-9) + (-3)\/9. Does 33 divide r\/(3\/111*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355.73 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15099655\/106 - -142448. Let b = -4\/53 - s. Let v = -4\/3 - -13\/12. Sort b, 0.3, v, 4\/11.\nAnswer: v, 0.3, 4\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 135? (a) -0.04 (b) -0.294 (c) -2\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from sffsfff.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyyy when four letters picked without replacement from {u: 1, y: 4, i: 6}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15233 - -15270. Solve f*j + 408 = -65*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x, -5*f + x - 2*x = -26. Suppose f*r = 2*r. Let c be (-1 - r) + 90\/63. What is the second biggest value in c, -2\/5, 4\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8144, 31698, 70950, 125900, 196548?\n\"Answer: 7849*w**2 + 7*w + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvtht. What is prob of sequence hvtv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -10. Let y be ((-35)\/(-4) - d)*4. Let w = y - 23. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9*m**2 + m. Let z be k(-1). Suppose -3*n = -z*n. Suppose 3*s - 9 = 0, 3*o - 7*o + 4*s = n. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -60*c**3 + c**2 + 2*c - 2. Let y(z) = 5*z**2 + 53*z + 73. Let l be y(-9). Calculate o(l).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**3 + 17*h**2 - 11. Let s(g) be the second derivative of -3*g**5\/20 + g**4\/2 - 2*g**2 - 45*g. Calculate -11*s(p) + 4*z(p).\nAnswer: p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2076, -8481, -19154, -34095, -53304, -76781, -104526?\n\"Answer: -2134*a**2 - 3*a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-84))\/((-230)\/(-138))*15.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/((-100)\/(-15))*2 - (-5)\/1. Let c(x) = -13*x + 3. Determine c(a).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -5.06. Suppose -2*d + 5*m = 17, 0*d + 3*m = 4*d - 1. Let i be -1 + (1 - d\/(-6)). What is the closest to i in x, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4245)\/(-170) + (-14)\/(126\/225).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(18)*-3 - sqrt(18))**2 + sqrt(2) + -3).\nAnswer: -570 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10263, -10266, -10269?\nAnswer: -10272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1288 - -54. List the prime factors of x.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*j + 1375 = 1340, -10*w - 16 = -j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 5. Let h(l) = -l + 1. Let k(y) = -5*h(y) - u(y). Let i(v) = -2*v**2. Calculate k(i(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/((-2)\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 8*q + 18. Determine c(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 1882075*b**2 - 7528360*b - 7528380.\nAnswer: 5*(b - 376419)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8854058, 8854063, 8854068, 8854073?\nAnswer: 8854078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/12528 + (-10689)\/324.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*t - 3*d - 1, -t = -d. Let v(h) = h**2 - 2. Give v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*((sqrt(162) + 0 - sqrt(162))*-4 + sqrt(162)))**2 - (-3 + 2 + (sqrt(100)\/sqrt(2) + -5)**2).\nAnswer: 50*sqrt(2) + 52414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 3:33 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3897 + 2524. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3064, -3065, -3066, -3067, -3068?\nAnswer: -3069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6*i - 3*i = 187, -4*l + i + 761 = 0. Let g be l - (2 - 3 - -5). Suppose -2*q + g = -36. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:53 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -213435108 divided by -345924\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 - 104 - 62*y**3 + 6397*y**3 + 171 as i*y**3 + z + m*y + x*y**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 105873*l**2 + 2*l**3 + l - 3*l - 105941*l**2 + 8 + 4*l as a + g*l**3 + n*l + t*l**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2*d**2 - 17\/3*d**6 - 10\/3*d**3 + 0*d**4 + 49 + 0*d + 0*d**5. What is the third derivative of w(v) wrt v?\nAnswer: -2040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.766 - 0.4?\nAnswer: -17.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489 - -193. Let z = -858 - p. Is z\/(-18) + (-6)\/27 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:37 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 8:18 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2084\/144 - 2\/9 and 23\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53120 + -53124. Let x(h) = -4*h - 3. Let d be x(-2). Sort p, d, -5, 10 in descending order.\nAnswer: 10, d, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 380*a + 9. Let j(g) = -188*g - 5. Let w(c) = 11*j(c) + 6*o(c). Let l(v) be the third derivative of -v**5\/30 - 48*v**2. Calculate l(w(d)).\nAnswer: -89888*d**2 + 848*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-42))\/(2\/(-28)*4)*(-3402)\/63?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/2? (a) 0.1 (b) -4 (c) -0.15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = 3*m, m + 3*m - 2 = 5*a. Suppose 648 = 2*f + a*f. Let x = -62 - -80. Calculate the highest common factor of f and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 15*p**2 + 12*p + 27. Let z be w(-16). Let d = z + -89. Solve -d*r = 3*j, -5*r + j - 13 = 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-270)\/36*4\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 - 4 = 0. Suppose -5124 = -t*z + 1876. Round z to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187668 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 27142374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*(-137)\/(8220\/9240)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 2, -4\/5, -1, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) + (-42)\/(-4). Calculate the lowest common multiple of 2826\/126 - (-6)\/(-14) and (-1)\/(1\/(-2))*c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2505.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 19. Suppose -5*k + 4*v + 25 = 0, 5*k + 2*v = -3*v - 20. What is the second smallest value in -0.1, k, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-1))\/252*(-15)\/180.\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 10, 1543590 in descending order.\nAnswer: 1543590, 10, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 8. Let f(o) be the third derivative of o**4\/6 + 115*o**2. Give t(f(q)).\nAnswer: -16*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 691072478022278 + 691072478022278.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-60)*5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a + 2. Suppose y = -4*d - 10, -5*d + y = 9 - 1. Give k(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 13*a - 9. Let h = 87 + -73. Let r be f(h). Find the second derivative of 18*c + 6*c - 4*c + 9*c**r wrt c.\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 6*r + 2*r - 9*r - 2*r + 6*r + (2 - 2 + r)*(4 - 4 + 2) - r + 3*r - 7*r to the form y*r + w and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from ttmttmtmttmtmttt.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.0488 - -0.0012. Let w = -12.1141 + y. Round w to 3 decimal places.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/2160*-5*21\/98?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - n + 8 - 33, -4 = -4*x + 4*n. Let v be (6\/(-10))\/(x\/(-120)*4). What is the units digit of (6 + -2)*3\/9*v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 14*d + 7. Let f(z) = -13*z - 6. Determine 7*f(v) + 6*y(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**4\/9 + 34*v**3\/3 + 62*v**2\/3 + 146*v\/9 + 14\/3.\nAnswer: 2*(v + 1)**3*(10*v + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 60001?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 0*r + 3*r - 5*r + 4*r + 3*r - r + 0*r + 3*r + (1 - 1 - 2*r)*(1 + 2 - 4) - 2*r + 3*r + 2*r - 2*r - 3*r + 3*r)*(-11*r**3 + 35*r + 44*r - 50*r).\nAnswer: -66*r**4 + 174*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - 0.1. Let x = -3608 + 3610. Which is the closest to 0? (a) x (b) n (c) -2\/143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + -8 + 4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19? (a) -1\/2 (b) 3 (c) 0.2 (d) 0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*u = 15*u + 54*u + 57*u + 18231 for u.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 0)*(-1 - 1 + 1) + 3 - 3 + 1 + 4 + 0 + 0 + 30 - 31 + 72)*(9*x + 2 - 2*x**2 - 5*x**2 + 9*x**2) to the form v*x + s + o*x**2 and give v.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 5*s**4\/4 + 10*s**3\/3 + 5*s**2\/2 - 12. Factor f(q).\nAnswer: 5*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*t + 109, 0 = -t - 2*j - 2*j + 32. Let x be 16\/t*5\/2. Solve -3 = 3*r + 3*s - 6, -2*r - 10 = -x*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 3*y - 2058, -2*y = -4*s + 8282. Suppose -q + 12 - 18 = 2*i, 0 = 4*q + 4*i + 8. Is s\/q*(-6 + 140\/21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 1:28 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s + 496. Suppose f - 5*f = s. Let g = f + 56. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:47 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 96655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iij when three letters picked without replacement from {i: 9, j: 5}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l - 12. Suppose l*d + 5 = 53. Suppose -15 = -3*b, 4*k - 73 = -4*b - 1. What is the remainder when k is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 208732777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556246 is divided by 10444.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -252*t**2 + 108*t + 253*t**3 - 363\/4*t**4 - 20. Factor u(b).\nAnswer: -3*(b - 1)*(11*b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*l - 30, 2*x + 4*l - 31 = -1. What is the remainder when (-2*43)\/(42\/(-21)) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674956.\nAnswer: 2, 19, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 2*a - 53, -3*a = 5*k + 203. Let u = k + 25. Does 25 divide (-3)\/u*3*62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b56293 (base 14) to base 16.\nAnswer: -5d7649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, e: 1, l: 1, b: 1}. What is prob of picking 1 b, 1 e, and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*j - 0 + 4, 6 = 3*f - 2*j. Suppose -o - 2 = -3, f*c + 4 = -4*o. Let y(q) = 2*q + 1. Let v(m) = -3*m - 2. Give c*y(a) - 3*v(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 185215 in descending order.\nAnswer: 185215, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 32 = -5*i, 0*j = -2*j + 4*i - 16. Let y be (-1)\/(1 - 3)*j. What is the common denominator of (-78)\/y*(-77)\/132 and 133\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9320718?\nAnswer: 2, 3, 11, 141223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 900?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23223050 and 1325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -48. What is the second biggest value in -5\/2, -0.4, 2\/5, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (459\/(-36) - -9)*378\/90*(-6 + 5)\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(5\/9))**11\/(((b\/b**(-1))\/b)\/b**(-34)) assuming b is positive.\nAnswer: b**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**3 + 0*o**2)*(13*o**2 - 7 + 7) - o**5 - o**5 + 0*o**5.\nAnswer: 11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(50) - 5*(sqrt(2) + (sqrt(6)\/sqrt(3))**2 + sqrt(2))).\nAnswer: -15*sqrt(2) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-6*(sqrt(70)*-3 + sqrt(70))*6)\/(sqrt(110)\/(sqrt(55)\/sqrt(5)) - -4*sqrt(90)))**2.\nAnswer: 1306368\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -1 + sqrt(180)*-2 - (5 + sqrt(180) + sqrt(180)*2 + 0)) + -2.\nAnswer: 23 + 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11068, 0, 5 in descending order.\nAnswer: 5, 0, -11068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 475*d - 2363. Determine x(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3553010 (base 6) to base 5.\nAnswer: -21422412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -53. Which is the nearest to f? (a) 0 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1521, -1512, -1503, -1494?\n\"Answer: 9*r - 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416629110.\nAnswer: 2, 3, 5, 113887637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 603, 905, 1207, 1509?\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 14 = -4*y, -3*z - 5*y + 27 = 42. Suppose 3*r - 5*f = 2*r - 7, 0 = -4*r + 3*f + 6. Put 1, z, r in decreasing order.\nAnswer: z, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1002 + -1002.0781. Round q to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 + -11.1. Let y = i - -7.3. What is y rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 714 + 70 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 112*c**2 + 822*c + 1305. What is p(119)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*c**4 + 3 - c + c - c**4 + (2*c**2 + c**3 - 2*c**2)*(0*c - c - c) + 0*c**2 + 2*c**4 + 0*c**2 + 16*c**4 + 17 - 34 + 16.\nAnswer: 13*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 677164394.\nAnswer: 4062986364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*f + 2*f - f)*(-2 + 0 + 3) + 4*f + 1 - 3*f + 1 - 2 - f + 2 + (-3 - 2 + 2)*(f + 3*f - 2*f))*(-1 - 13 - 11) to the form j + t*f and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/41 + 5617898\/(-216931) + 26?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 85 = 5*u, 2*u + 4 + 2 = 0. Let l be (35\/s + -2)\/2. Which is the closest to 2\/7? (a) l (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/18 - (-6)\/(-27). Let u(o) = 4*o - o - 4*o + 3*o**3. What is u(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 64?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(9)\/sqrt(3)) + 1)**2 + 3.\nAnswer: 2*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by 1\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 + 0?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -250, -13, 4, 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.33554 days to minutes.\nAnswer: 109923.1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*k + 10*k + 49*k**2 - 21*k)*(-5*k**2 + 5*k**2 - 2*k**2)*(0 + 5 - 3)*(-2 - 1 + 2).\nAnswer: 196*k**4 + 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 4*u**2 - u**2)*(2 - u - 2)*(-u + 0*u - 4*u).\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -4*y**2 + 1\/10*y**5 + 0*y**3 + 2*y + 1\/6*y**4 - 5. Differentiate t(l) with respect to l.\nAnswer: 6*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 7, q: 3}. What is prob of picking 1 a and 2 q?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 46*f + 7*f - 540 = -6*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5487 and 120.\nAnswer: 219480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53763343\/5 not equal to 10752669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617861 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5, 2.36, -5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlnleqqnnl. Give prob of picking 2 q and 2 l.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5087.4 + -6291. What is g rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 4, -49 in decreasing order.\nAnswer: 4, -1, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 h when four letters picked without replacement from {f: 7, h: 6}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8 + 3*b**2 - 3*b - 7*b - b**2. Let s be z(6). Let y = -11 - -19. Calculate the highest common divisor of s and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46396*c**2 + 92797*c**2 - 46400*c**2 - 2*c - 2413)*(0*c**2 - 3*c**2 + 0*c**2) to the form q + g*c**4 + i*c**2 + m*c**3 + h*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*t**5*y + 2023*t**4*y**2 - 219*t**2*y**2 + 3*t**2*y + 13*y**2 + y - 2 wrt t?\nAnswer: 840*t**2*y + 48552*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 122\/27*15\/(-2). Let h = 34 + w. Let r = -1439\/88 - -184\/11. Which is the nearest to -4? (a) r (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3540690512 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 5*w - 4. Let j be i(5). Let l be (-8)\/j - 1*-1. Suppose -63 = -l*t - 27. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*t - 19 = 0, 5*x + 216*t = 215*t + 36. Let m(i) = -3*i + 36. Let d(r) = r + 1. Let f(k) = 15*d(k) - m(k). What is the units digit of f(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/(-20)*-5*19*(-7)\/266.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 67. Let g(t) = -t**3 - 2*t**2 + 2*t + 1. Let x be g(j). Solve l + 3*l + 12 = x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqc when three letters picked without replacement from {c: 2, t: 2, q: 8, n: 7}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmzzzzzzmz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 806704*w + 126553932.\nAnswer: 4*(w + 157)*(w + 201519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, 2, -13 in descending order.\nAnswer: 2, -2, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 0) + 44 + (235 - 124) + -4.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 44 (b) 19 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.6414 and 4.\nAnswer: 14.5656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/4))**(-6\/7))**(12\/5) assuming n is positive.\nAnswer: n**(-18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 155, -1, 0.14 in increasing order.\nAnswer: -1, 1\/13, 0.14, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1200) + sqrt(96)\/sqrt(2)*-3)**2 + ((sqrt(300)*-2 + -4)**2 - (-2*sqrt(36)\/sqrt(3))\/sqrt(4)).\nAnswer: 178*sqrt(3) + 1409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 18*f + 23*f. Let q(y) = 51*y. Determine s(q(l)).\nAnswer: 153*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731148 and 4002.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2950585 and 482823.\nAnswer: 26555265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2. Let i(d) = -7783*d**2 + 2*d - 2. What is i(a(k))?\nAnswer: -7783*k**4 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 444444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 504 + -279. Suppose -4*l - 5*l = -y. Calculate the remainder when 249 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 7, v: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*i**4*v**3 - 30*i**3*j*v**2 + j*v**3 + 251*j*v - 3*j with respect to i.\nAnswer: 56*i**3*v**3 - 90*i**2*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/7 + 904*p**3\/7 + 3521356*p**2\/7 + 195145992*p + 4066398198\/7 = 0. What is p?\nAnswer: -629, -3, 1713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 64, 147, 230?\n\"Answer: 83*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**4 - 8*v**4 + 35*v**4)*(-2 + 3 - 4 + 4 - 3 + 1 + (1 - 2 + 0)*(4 - 7 + 2) - 3 + 3 - 1).\nAnswer: -35*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4181 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 3.3. Let v = l + 0. Suppose 7*o - 40 = -3*o. Which is the closest to 2? (a) v (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 c when four letters picked without replacement from {c: 11, z: 5}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 + -3.3666?\nAnswer: -345.3666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 5*s**2 + 2*s + 7. Let a be k(8). Let n = -55 + a. Calculate the highest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:35 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 30, 53, 84, 123, 170?\n\"Answer: 4*c**2 + 3*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (2 + sqrt(833) + 3)*-5 + 4 + 2 + (sqrt(833) - (sqrt(833) - (0 + sqrt(833)))))**2.\nAnswer: 2520*sqrt(17) + 40659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 18 = 3*k, -21*k - 5*i = -25*k - 29 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*n + 5*n - 20*n - 11*n + 5 - 7*n as m*n + x and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930242\/(-226128) + 26\/(-4)*-2?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3863294 is divided by 772657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5060\/(-345))\/((2\/10)\/(1*57\/95))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 0.5. What is the nearest to -2\/7 in 4\/9, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 11.5, 0.1, -2, 12, 8, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 17. Let z(b) = 3*b + 50. Let g(u) = 11*n(u) + 4*z(u). What are the prime factors of g(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j. Suppose -3*d + 3*t + 1343 + 556 = 0, -2*t - 4 = j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.058 and -0.044?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84664 and 88.\nAnswer: 931304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 0, -6, 5, 3.\nAnswer: -6, 0, 3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:10 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53143079 is divided by 17714357.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -173*p**3 + 17*p*w + 17865*w wrt p?\nAnswer: -519*p**2 + 17*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2015097 (base 10) to base 9.\nAnswer: -3711166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -42.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -2 + -37 + 49 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h. Let w(q) = -18*q**2 + 2110*q. Determine w(j(g)).\nAnswer: -882*g**2 - 14770*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/2*13\/(-10)*4. Let z = c - 1189\/60. Find the common denominator of (-95)\/(-30) - (0 - 2) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*n - 4*n = -1060, 0 = -5*t + 5*n + 1320. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381 (base 12) in base 15?\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*j**3 + 0*j - 2\/7*j**2 + 0 - 1\/7*j**4 = 0. Calculate j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 14?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4 + 4*b**3\/3 - 2*b**2 - 4*b + 10. Let q(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 20*x + 2*s - 8, -4*s = x + 2. Suppose 34*c = x*c + 1600. Is c less than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*x**2 - 5*x**2 + 16*x**3 - x**2 + 2*x**2 wrt x.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 158558, 9 in ascending order.\nAnswer: 9, 43, 158558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + -3 + 2*sqrt(176) + sqrt(176)) + (3*(sqrt(176) + 0 - sqrt(176)) + sqrt(176))*2 + -4)**2.\nAnswer: 960*sqrt(11) + 17744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.038 - 2.538. Let i = m - -2.5000099. Round i to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 1\/8 (b) 24\/7 (c) 0.37 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 - 0.29. Which is the second biggest value? (a) 0 (b) -10 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 9 = 5*n, -4*z = 63*n - 65*n - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*t - 12 = 0, 3*t - 262068 = -262062 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3230101 (base 4) to base 15\nAnswer: -4731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.11 (b) 0 (c) 2\/21 (d) -4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371777 and 921.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -85, -198, -357, -562, -813?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z + 7. Suppose -2*r + f + 63 = -r, -r + 67 = -z*f. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -112*q + 2128. Determine p(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/10)\/((-2124)\/27435))\/(2\/(-6))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/48 and -85\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 2*s - 2*s - 1 + 1 + 2*s + ((24 - 52 - 27)*(-1 - 2*s + 1) + 4*s - 6*s + 0*s + 4 - s - 4)*(1 + 3 - 3).\nAnswer: 107*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14244?\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 6, m: 1, i: 3, a: 1}. Give prob of picking 3 u and 1 i.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 671754.\nAnswer: 671754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2 - 460*f - 26628 wrt f.\nAnswer: 4*f - 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 4*i**2 - 3*i**2)*(-2*i**3 + 5*i**3 - i**3) + 4*i**5 - 4*i**5 + i**5 + 228*i**2 - 3*i**5 - 228*i**2 - 2.\nAnswer: -6*i**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7492 - 21.7492. Put -0.2, -7\/5, n in increasing order.\nAnswer: n, -7\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158737 is divided by 156945?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 572 and 205876.\nAnswer: 2676388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.4 (c) -1106 (d) 2\/3 (e) -27 (f) -0.07 (g) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -509?\nAnswer: 52b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g. Let f(j) = 8*j. What is 4*b(m) - 3*f(m)?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16053 (base 11) to base 16.\nAnswer: -589d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 2, k: 4}. What is prob of picking 3 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -17954, 23, 5 in descending order.\nAnswer: 23, 5, 4, 3, -17954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = 3*q, 2*f + 5*q = 15 - 27. What is the nearest to -65 in f, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 105786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 3864*t**2 + 160605*t.\nAnswer: 3*t*(t - 1245)*(t - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -39. Suppose 17*z - 16 = k*z. Suppose z*f + 2*d - 93 - 57 = 0, -3*d - 95 = -2*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*u - 13, -c + 40 = 4*u + 3*c. Find the common denominator of (-212)\/(-30) + (-35)\/u and 16\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -476022, -20, 0.22, 3\/4 in ascending order.\nAnswer: -476022, -20, 0.22, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqqqqqqqqiqiqqq.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4975304 is divided by 599?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229087.3 months in centuries?\nAnswer: 1857.57275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1908 times -0.049?\nAnswer: -0.0093492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 160180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -7368 (b) -0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/12)\/((-7)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -141, -245, -305, -327, -317, -281, -225?\n\"Answer: -c**3 + 28*c**2 - 181*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 1 - 1 + (1 + 1 + 1)*(2*r - 2 + 2) + 8625 + 14*r - 8625.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 61*h**6\/6 + h**2 - 18*h - 114. What is the second derivative of p(u) wrt u?\nAnswer: 1220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -52. Suppose 4*c - 14 - 6 = 0, 0 = 3*u + 3*c - 87. Calculate the remainder when u is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 10*v - 4. Let z be w(3). Let x = 78 + -542\/7. Is z equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -0*v + 5*u + 7, -3*v - 3*u - 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -3 (c) 16 (d) 2\/11 (e) 1399\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998 + 43*h - 97*h - 59*h.\nAnswer: -113*h - 998","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.759924ug to grams.\nAnswer: 0.000001759924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b - 31. Let l be m(-5). Factor 2\/3*a**2 - 1\/3 - 1\/3*a**l + 0*a**3 + 0*a.\nAnswer: -(a - 1)**2*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m = 4*i - 696, -3*i = 4*m - 557. Suppose -4*d = -s - 0*s + 50, -4*s + 4*d = -m. What is the greatest common factor of s and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11996*q + 14788*q + 4740*q + 6537*q to n + p*q and give p.\nAnswer: 14069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1253 - 10017?\nAnswer: -11272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = f - 4*h + 2*h, -2*f = 3*h + 15. Factor 0*o + f + 1\/4*o**3 + 0*o**2.\nAnswer: o**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 91 = 41 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/48760127 and -119\/5470.\nAnswer: 487601270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lliklkiqqklkkkqlbkl. What is prob of picking 1 b and 1 l?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 43. Solve 5 = -o*b - 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.294*-226.4047\nAnswer: -66.5629818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 6:59 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4 + 1428*v**3 - 1422*v**2 - 7132*v - 4281 = 0. Calculate v.\nAnswer: -1, 3, 1427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 2*t**3 + 3*t**2 - 8*t - 8. Let b be k(3). Calculate the highest common factor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18799863.\nAnswer: 3, 6266621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 655*b + 119848. Give q(-183).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 21 + (-22 - (27 + -42))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((1*sqrt(119) + sqrt(119) + sqrt(119) - sqrt(119) - sqrt(119) - sqrt(119))*-5 - sqrt(119)) + 4*sqrt(119)*-2)\/(2*(sqrt(7) + 4*sqrt(7)*2)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5258139, 5258145, 5258151, 5258157, 5258163, 5258169?\n\"Answer: 6*o + 5258133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 59*a. Let k(l) = -93*l. Let o(t) = 215*t. Let w(m) = -5*k(m) - 2*o(m). Determine g(w(p)).\nAnswer: 2065*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337385, -337381, -337377, -337373, -337369, -337365?\nAnswer: -337361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 21*t - 34 = 0. Let c = t + 30. Let a(u) = 3*u + 3. Calculate a(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/3)*z**(-24)*((z**7\/z)\/z)**(43\/5))**(-2\/5) assuming z is positive.\nAnswer: z**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/8, -58, 5, -2\/13, -3966?\nAnswer: -3966","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -6, 12, -1, 102.\nAnswer: -6, -2, -1, 2, 12, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82718\/11 at most as big as 7519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55*(-390)\/(-1320)*(-8)\/(-2)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 10*z + 26. Suppose -h - 1 = -d, 2*d + 2*h = 5*d - z. Calculate the least common multiple of d and 172\/14 - (-2)\/(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a82b4 (base 15) in base 11?\nAnswer: 335116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34a (base 15) to base 8.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3113\/4 + 788. Calculate the common denominator of t and -59\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fug when three letters picked without replacement from ugfgufugguuuuugudg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.52 + -3. Let p = -4.48 - o. Which is the second biggest value? (a) p (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -251101?\nAnswer: 251115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 0*y = -y. Suppose 4*b + y = 3*i - 23, -i - 9 = 2*b. Let t be 322\/i*(-2)\/((-4)\/(-1)). What is t rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7213, -15065, -22923, -30787, -38657, -46533?\nAnswer: -54415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23286 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 4. Let w = 12 + r. Let z be (27\/18)\/((-3)\/(-4)). Solve q = p - w, -z*q - q - 6 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 943 + -1000.1. Let z = 51.33 + j. Let a = z + 5.77293. What is a rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 p when four letters picked without replacement from {w: 15, l: 2, p: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18281 - 18284. Which is the closest to -0.1? (a) -5 (b) 0.06 (c) 14 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -36, -3 in ascending order.\nAnswer: -36, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/13)*d\/(d*d**4\/d))\/(d\/(d*d**(-1\/3)\/d))**0)**(17\/5) assuming d is positive.\nAnswer: d**(-697\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 + 2*t**3 + 5*t**3 + (-2*t**2 + 7*t**2 - t**2)*(4*t + 2*t - 1 + 3) as g*t**2 + h*t + m*t**3 + a and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -9\/285641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341 and 650163.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 347997.3 and -82.351.\nAnswer: 347914.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytyn when four letters picked without replacement from {n: 1, g: 1, e: 2, y: 2, t: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a\/a**(1\/9))\/a)\/a))\/a**(-17\/4))\/((a**(1\/2)*a*a)\/a)**(-2\/71) assuming a is positive.\nAnswer: a**(16367\/2556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-m**4 - 4*m**4 + 7*m**4) + (3*m + 4 - 4)*(6*m**3 - 3*m**3 - 2*m**3) + 0*m**4 + 3*m**4 - 4*m**4.\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-14))\/((-33)\/77)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l - 1. Let v be j(-3). Let t = v + -12. Suppose -t*c + 0*a = -a - 67, 0 = a + 2. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, h: 1, g: 1, r: 2, n: 3, k: 3}. What is prob of picking 1 k and 1 m?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19606, -19670, -19732, -19792?\n\"Answer: z**2 - 67*z - 19540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o*o**18))\/o*o)**(6\/23)\/((o*(o\/o**(-24))\/o*o)\/(o*o*o**(-35)*o)) assuming o is positive.\nAnswer: o**(-1454\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 5) in base 7?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 33. Suppose 10*b = t*b + 10716. Let y = b - 2011. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-1)\/(-12)*4). Suppose 0 = 4*x - 38 - b. Suppose -3*l = -190 + 58. Calculate the highest common divisor of x and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030113 rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52766\/4187 < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*m - 0*m + 3, -3*f + 5 = m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/((-56)\/140)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1\/6 (c) -1\/3 (d) -13 (e) -3\/2 (f) 45\/7 (g) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7652 (base 10) to base 9\nAnswer: 11442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 37 = -n, 3*w = 2*n + 37 - 13 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 4)*(0 + 6 + 6) - 2 + 1 + 3)*(-3 + 1 - v + 0*v).\nAnswer: 34*v + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 5\/6, 2\/9, -1, 0.3, 6\/13, 3\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 25 = 5*x, -45*x + 46*x - 5*t - 7 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*((-16)\/6 - -3). Let r = 2075 - 2075.05. What is the third biggest value in -1\/4, 0, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -150.1160094.\nAnswer: -150.3160094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inttiinn. What is prob of picking 1 n and 1 i?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + -5894.\nAnswer: -5893.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 + (10188810\/117 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 0*l + 0*l)*(-1 + 4 - 5)*(-1 + 0 + 3)*(2274 - 2274 - 116*l) to the form c*l**3 + a*l**2 + j + v*l and give c.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*u - 10460 = 1667. Calculate the remainder when 747 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50927 - -5194493\/102. What is the common denominator of -133\/54 and y?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-19))**(8\/11)\/(o**(1\/71)\/o**32))**5 assuming o is positive.\nAnswer: o**(70945\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 72, -4, 0, 11.\nAnswer: -4, -2, 0, 11, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 86733 (base 9) in base 5?\nAnswer: 3314314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**3 + 1. Suppose 5*i + 8 + 12 = 0, 4*a - 24 = 5*i. Let d be m(a). Solve -c = 3*u + 20, -3*c - d*u - 40 = -2*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 287.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 23 + 2 - -62.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, -1, 5\/4, 1\/4, -0.1.\nAnswer: -1, -0.1, 1\/4, 5\/4, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 8*v**2 + 4*v - 10. Let d(o) = 2*o**2 - 4*o + 1. Let x be d(3). Let j be k(x). Let a = 36 + j. Solve 2*q + 2 = -g + 10, 5*g = -3*q + a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2243, -2246, -2249, -2252?\nAnswer: -2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111122 - -11?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 192 = -189 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/(-21))\/(10\/(-6) + 1). Solve c*t = -0*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s**3 - 4*s**2 - 10*s - 6. What is the tens digit of b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x - 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227317734?\nAnswer: 2, 3, 7, 67, 26927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.47 + -0.42. Let q = -0.05 + g. Let k(r) = -5*r**3 + r**2 - r + 1. Let l be k(1). Sort l, -0.1, q in ascending order.\nAnswer: l, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.14 to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(12\/3)*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32557207 and 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -205070 - -1?\nAnswer: -20506a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*g + 5, 2*g - r = 13 - 6. What is the third biggest value in -5\/2, g, 1, -35.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) + 30\/(-63). Which is the second smallest value? (a) 4 (b) j (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -40*m - 2. Let i(p) = -20*p - 1. Let l be ((-108)\/(-216))\/(4\/(-24)). Determine l*t(q) + 5*i(q).\nAnswer: 20*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 9 - 9)*(-2*c + 4*c - 4*c) + (0*c**2 + 0*c**2 - 2*c**2)*(2 - 6 + 3) as d*c**2 + r + v*c and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14283.985 + 14252. Let v = l - -24. Let x = v - -8. What is x rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.1941 kilometers in centimeters?\nAnswer: 6219410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -596 - -656. Suppose g - 100 = -c. What is the highest common factor of c and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 385380, 385386, 385392, 385398, 385404?\n\"Answer: 6*j + 385374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307333 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 8:45 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747597.\nAnswer: 3, 249199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325916*f + 325885*f = -1364. Let d(p) = 11*p + 2. Let u be d(4). Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 225.2591t?\nAnswer: 225259100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 3\/2, 115\/6, -0.06 in decreasing order.\nAnswer: 115\/6, 3, 3\/2, -0.06, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(2\/5)*f)\/f)**(19\/4))**(1\/13)\/((f**(-2\/3)\/f)\/f**(-1)*(f\/(f\/f**1*f))**(-1\/24)) assuming f is positive.\nAnswer: f**(301\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3053343?\nAnswer: 1221337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/53 (b) -2510 (c) -1\/4 (d) 0.2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4014344003 (base 5) in base 10?\nAnswer: -7965503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 1 - 2 + 5*z - 3. Let x(w) = 64688*w + 6 - 32348*w - 32344*w. What is 7*u(v) + 5*x(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7))**(-2)\/(i\/(i*i*i\/i**(1\/14)))**(-2\/111) assuming i is positive.\nAnswer: i**(3617\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11479 - 11478.5. Put -2, k, 0.2947 in descending order.\nAnswer: k, 0.2947, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4695 and -4691 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 2. Let o(q) = 9*q - 3. Calculate 3*o(v) + 5*z(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u - 7. Let o(v) = 5*v - 6. Let p = -33 + 35. Let j(z) = p*o(z) - 3*w(z). Let s be j(7). Is s smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8092119 = -3*r. Let w = -13492119 - r. What is w rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + w + 3 = -16, 2*s - 22 = -4*w. Suppose 9*t = s*t + 16. Suppose -2*h = -t*h + 54. Solve 1 = -5*c + 2*m, -c + 7*m = 2*m - h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Let m = -1.6 - -1.96. Let p = m - 0.06. What is the second biggest value in w, 5, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 264, 396?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23465 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193*k - 83*k - 31*k)*(-k - 1 + 1)*(4*k**2 - 3*k**2 - 2*k**2 + (-2*k - 1 + 1)*(-5*k + k + 5*k) + k - k + k**2 + 4*k**2 - 3*k**2 - 2*k**2 - k + k**2 + k).\nAnswer: 158*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a + 2*o = 17594, 0 = 2*a - 2*o - 8788. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690218819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132.1*5.\nAnswer: -660.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3690, -7132, -10560, -13968, -17350?\n\"Answer: z**3 + z**2 - 3452*z - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/6)\/(48\/(-252)*-14).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21115, 21136, 21157?\nAnswer: 21178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 21*y - 14)*(3 + 6*y**3 - 4 - 3*y**3).\nAnswer: -63*y**4 + 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -21.089\nAnswer: 126.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 25\/8 of a microsecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 2, 126, 346?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*x - 100522 + 156892 = 0 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -831*q**4\/4 + 23688*q**3 + 93513*q**2\/4 - 1035*q\/2 = 0.\nAnswer: -1, 0, 6\/277, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27313 and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d**3 - 4*d**2 - 3*d - 1. Suppose -3*b + 0 = -3. Suppose 0*r + 2*r + 3*p + b = 0, -p + 9 = -4*r. Is 16 a factor of h(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -656639529, -656639531, -656639533, -656639535, -656639537?\n\"Answer: -2*m - 656639527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - w + 4*w - 2*w. Let n(l) = -5*l**2 - 5. Let x(i) = 0 + 5*i**2 + 3 + 4 - 3. Let q(g) = -4*n(g) - 5*x(g). Determine h(q(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/45)\/(78\/81*-3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024577097 rounded to 7 decimal places?\nAnswer: 0.0002458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2435, -5, 3, -11 in decreasing order.\nAnswer: 3, -5, -11, -2435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 14310\/437?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 98\nAnswer: 17\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/8)\/((-3)\/(-8)). Let l = -8 - k. Suppose -3*z + 217 = g + 231, -5*z - 4*g = 21. Put l, 1, z, 4 in descending order.\nAnswer: 4, 1, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4059322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + b**2 + b. Let r be m(-2). Let x = r - -9. Suppose 3*g - 2*g = 6. Solve -x*c + g = -6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/96)\/(1\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -13*k**4\/4 - 14*k - 10. What is the first derivative of n(o) wrt o?\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/182880 and -73\/57216.\nAnswer: 108996480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*s = 551*s - 4510 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191906.\nAnswer: 2, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(9\/(-28 + -8)) - -11)*1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 + 1 + g**2 + 6*g**2 - 7*g - 5. Let n be r(6). Let z = n - 21. Let a(k) = k**2 - 7*k + 5. Give a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*12*184\/32. Solve 10*h + n = 119 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12934618\/9 = 1437180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1124 and -7?\nAnswer: 0.7868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 57, 78, -19\/3 in ascending order.\nAnswer: -19\/3, 1, 57, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -65, 2, -27444 in descending order.\nAnswer: 9, 2, -65, -27444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*n - 19 = 3*n, 5*n = -25. Let z(r) = 4*r**2 + r**2 - 4*r**a. Let i(x) = x. What is i(z(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21120222122 (base 4) to base 9.\nAnswer: -4558822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15106893*a**2*p - 22*a*p + 3*a - 8082*p wrt a?\nAnswer: -30213786*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351428461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -698941135465.\nAnswer: -698941135470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 364523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 6*k**5 + 0*k + 0*k**2 + 0*k**4 + 13\/3*k**3 + 22. Find the third derivative of s(n) wrt n.\nAnswer: 720*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53c65 (base 13) in base 16?\nAnswer: -24fd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32800176 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 + k + 5. Let b be v(0). Suppose -b = -r - 0*r. Let d be (-4)\/14 - 430\/(-35). Solve 2*q + r = -3*f, -4*q = -5*f - d - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1 + 8 + 9*o + 4 - o**2 - 1. Let n be s(9). What is the remainder when 1\/((-3)\/3)*-7*n is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from rnrnrtrrtrnr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 21*a**2 - 24*a + 19. What is the lowest common multiple of s(-22) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.989 and -227933.0871.\nAnswer: -227932.0981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -14. Suppose 4*j = -3*n + 53, 3*j - 5*j - 2 = 0. What is the remainder when p is divided by n + -1 - (-40)\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/z)\/(z*z*z\/(z\/(z*(z\/(z*z**(-1\/3)))\/z)))*z**2\/(z**(3\/4)*z)*((z**1*z*z)\/z)**46\/(z\/z**0)**(7\/2) assuming z is positive.\nAnswer: z**(1061\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2061126047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 30.6. Put -0.1, 2\/3, w in ascending order.\nAnswer: w, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 542 + -541.6. Which is the second biggest value? (a) u (b) -5 (c) -1.8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 16*i**2 - 42*i - 7. Let a be l(-3). Let t be 18\/(-20)*(-10)\/12. What is m in 3\/4*m**3 + t*m**a + 0*m + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*-1*sqrt(99))\/sqrt(9) - sqrt(22)\/(sqrt(200)*-2)) + 4.\nAnswer: 41*sqrt(11)\/20 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6292*p**3 - 3*p**2 + 47*p + 91. List the prime factors of d(-2).\nAnswer: 50321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 152888220?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75\/125*(33\/(-6) - -3). Which is the closest to t? (a) 0 (b) -1\/6 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2478 = 277*v + 77*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5 - 53403*c**4 + 614353*c**3 - 1228791*c**2 + 187009*c + 480834 = 0. What is c?\nAnswer: -26713, -1\/2, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.4 plus 0.106?\nAnswer: 484.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - d - 19. Determine n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6826 (base 14) to base 3\nAnswer: 220210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -768004*c**6 - 3*c**2 + 43*c - 2881 wrt c.\nAnswer: -92160480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(-4))\/b))\/((b*b*b**(2\/19)*b*b)\/b) assuming b is positive.\nAnswer: b**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*6 + 9 + -6. Let h = v + 24. Let j = -4722 + 4791. What is the remainder when j is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 12*b**2 - 8*b - 26. Let h be 14 - 4 - (-1)\/1. What is the units digit of j(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -121 (b) -2 (c) -0.1 (d) 1\/6 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 3*d**2 - 2*d - 1\/2 - 1\/2*d**4.\nAnswer: -(d + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/12*1*-2. Let o = 1 - -12. Calculate the remainder when o is divided by 29\/l + 39\/52.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3130 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 18 = -15*m. Suppose h - 16 = -4*s + m*s, -59 = -4*s + h. Let k(d) = d - 13. Let q be k(s). Solve -l + 2 = -q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 7. Suppose 11*b + 36*b + 658 = 0. Let u(r) = -r**2 - 3. Let v(i) = b*u(i) - 6*n(i). Let y(z) = -372*z. Give v(y(q)).\nAnswer: 276768*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-12 - (27 + 0))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 4 in descending order.\nAnswer: 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 40*l + 1193. Calculate j(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2508*z + 6968. Calculate g(-3).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -50*(1 + 5 + -704006). What is z rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:59 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*b - 34*b + 77*b to l*b + s and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -63, -56, -35, 6, 73?\n\"Answer: v**3 + v**2 - 3*v - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*w - 5*z, -5*w = -858700*z + 858695*z + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (805*d + 589*d - 387*d)*(2*d - 2*d**3 - 2*d).\nAnswer: -2014*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123886*h + 153 - 3 + 123842*h.\nAnswer: -44*h + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*6\/9 - (0 + 2). Let i(j) be the second derivative of -1\/10*j**5 - 1\/12*j**4 - 3*j + 0*j**3 + 0 + 0*j**c. Find the third derivative of i(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(133)*3 + sqrt(133) + 3*sqrt(133)*-2)\/((2*sqrt(343)*6 - sqrt(343))*5))**2*-2.\nAnswer: -38\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9*(-32)\/144?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1747 + 2?\nAnswer: -1745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 16) to base 13.\nAnswer: c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (122\/3)\/((35432\/(-309))\/172)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 17*u - 33. Suppose 0 = -b + u*j + 125, -4*b + 511 = -0*b - 5*j. Is 43 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 0 (b) -4 (c) -40 (d) -7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + -0.2194.\nAnswer: -8.2194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - (-8 + 51)) + -9.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, j: 6, v: 1, w: 5, x: 4}. Give prob of sequence xs.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -470.85 + 10.85. Let u = k + 490. Which is the nearest to u? (a) 2\/11 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**4\/24 + v**3 - 25*v**2. What is z(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27301\/294 + 554\/49. Let h = t - 2773\/24. Find the common denominator of (-8)\/(-76) - (-712)\/(-266) and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3344 (base 5) to base 15\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6353093 times 3?\nAnswer: -1.9059279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22\/59225 - 2448923\/8054600. Let x = u + -6\/85. Sort 0.3, x, -1\/4, -1\/3.\nAnswer: x, -1\/3, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 2*p**4 - p**2 + (0*p - 4*p + 2*p)*(4*p**3 - 2*p**3 + 0*p**3) - 4*p**4 + 3*p**4 + 6*p**3 + 2*p**4 + p**4 + 16*p**4 - 6*p**4.\nAnswer: 6*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/603 and 59\/8442?\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8831? (a) -4\/7 (b) 6 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -5*t**4\/3 + 11*t**3\/6 - 903*t**2\/2 - 12*t + 1. What is the derivative of r(w) wrt w?\nAnswer: -40*w + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246057 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:46 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 13*l**2 - 7*l - 15. Give y(12).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 21685*b - 2949244. Give h(136).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = 0. Suppose x*o = 3*o - 12. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 554031 and 0.37?\nAnswer: 204991.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11\/11)\/(5*4\/10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - d**2 + 25*d - 18. Let p be q(4). Let u(j) be the third derivative of -1\/180*j**5 + 0 + 1\/36*j**4 - 1\/18*j**3 + 0*j + 5*j**p. Factor u(b).\nAnswer: -(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2479828.14 rounded to the nearest one thousand?\nAnswer: -2480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 5*i**2 + 8*i - 9. Suppose -u + 6*u = 5*p - 40, 0 = -4*p - 3*u + 18. Let q be 1 - (-1 - (p + 2)). Let g be (-80)\/(-14) + q\/35. What is j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56585 and 615.\nAnswer: 6959955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2)*((-10)\/(-24))\/(95\/76)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 208, 406, 604, 802, 1000?\n\"Answer: 198*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:47 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 89703275.2 + -0.04159\nAnswer: 89703275.15841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(3\/10)))\/((j*j**(-8))\/j) assuming j is positive.\nAnswer: j**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1338 and 24?\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkn. What is prob of picking 1 k and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -64.29?\nAnswer: -67.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 270 = -8*j. Is -3*28788\/j*(0 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Suppose -2*l + 5 = 4*a - 5*l, -5*l + 5 = 0. Let k(z) = 2*z**2. Suppose 3*g - 2*c = -5, g - 3*g + c - 4 = 0. Determine a*k(p) + g*r(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/4 - 7*u**3\/6 + 45*u**2\/2 - 12419*u. Let d(j) = -3*j**3 + 4*j - 22. Give -7*d(t) - 4*g(t).\nAnswer: t**3 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 + -7 + 7. Let s(i) = 6*i**2 + 74*i + 26. Let x be s(-12). Solve 5*t + x*f = 4*f - 5, n = -3*t - f - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.38 * -21586\nAnswer: 288820.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.225334301 rounded to 3 dps?\nAnswer: 0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.242567 to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -21.5. Let u = 317 + -315.59. Let n = 1.41 - u. Which is the closest to n? (a) z (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -5*t - 5\/8*t**3 + 0 + 3\/80*t**5 + 3\/4*t**2 - 1\/40*t**6 + 3\/16*t**4. Suppose j(w) = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -2bb078?\nAnswer: -2bb081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/4 + 5691*u**2\/2 - 101466*u.\nAnswer: -3*u*(u - 3758)*(u - 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.71 - 190758.\nAnswer: -190753.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 6. Let v be l(-5). Let f be (v\/2)\/((-5)\/10). Is (-89)\/(-6) + f\/54 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*u = u - 8, -c - u + 2 = 0. Let s = c - -2. Suppose -2 - 14 = -3*r + s*p, -5*r + 2*p = -24. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 + t + 2. Let v be m(0). Let g be (-1)\/v - (-173)\/(-2). Let x = -51 - g. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 1, u: 4, s: 2, i: 2, r: 4}. Give prob of sequence sr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*g**4 + 5830*g**3 + 258680*g**2 - 2640320*g + 1643520 = 0. Calculate g.\nAnswer: -48, 2\/3, 8, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153543 (base 8) to base 14.\nAnswer: -16147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**3 - 33*t**2\/2 - 22*t + 3. Suppose 0*k - 2*k = 12. Let f be d(k). Calculate the highest common factor of 15 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 409960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/((-3245)\/66)*20\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*r**3 - 17*r**3 + 55*r**3 + 235*r**3.\nAnswer: 392*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/4)*x*x)**(-16\/5)\/(x*x\/(x\/((x*x**(-5\/7))\/x))*x)**20)**(-3\/17) assuming x is positive.\nAnswer: x**(3456\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1073 - -1071. Which is the biggest value? (a) j (b) -3 (c) -0.3 (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12874\/6437*(-22)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-535)\/25 + (-2)\/(-5). Let c = u + 21. Factor -1\/2*l**4 + 0 + c*l + l**3 - 1\/2*l**2.\nAnswer: -l**2*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92966983 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.643563 weeks to nanoseconds.\nAnswer: 389226902400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 856 + -602. Let q = 253.6 - n. What is the closest to -0.2 in -3, 1\/10, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5248*h = -4678*h - 123690. Let o be (-61)\/(-3) + (-4)\/(-6). What is the greatest common factor of h and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1016 - -946. What is the nearest to 1 in -1\/5, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97590836677 - -27863932392. Let l = i - -69726904806.99999461. Let j = l - 522. Round j to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1851395ng in micrograms?\nAnswer: 0.0001851395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4 + 2*h**3 - 111*h**2 - 112*h + 3136 = 0.\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-28)\/(-16))\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2400679us to seconds.\nAnswer: 0.0000002400679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + 15. Let w(u) = -6*u - 2. Let y be w(3). Let x = z - y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 62*n**2 - 17*n + 4. Let b(l) = 61*l**2 - 16*l + 5. Let c(h) = 6*b(h) - 5*y(h). Suppose -2*m = 2*m + 12, -4*m - 27 = -3*t. Is c(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let d = 2183 - 2192. Which is the third smallest value? (a) u (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.9729613 rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let t(o) be the third derivative of o**5\/40 + o**3\/3 + 4*o**2. Let m(u) be the first derivative of t(u). Give i(m(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 195319*d - 276. Let u be g(4). What is u rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 618015553 and 824?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + -3 + (-10)\/(-2). Let p be 1\/((-2)\/(v\/2)). Let j(w) = -w**3 + 2*w**2 - 1. Give j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22.91248 and -0.5?\nAnswer: 22.41248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3312 and 13593.\nAnswer: 652464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18739 (base 11) to base 3.\nAnswer: 1022220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -7.8. Let q = -51.7 - -45. Let l = q + x. Round l to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 199120 and 15810128?\nAnswer: 79050640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-16)*(-380)\/57.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 3. Let z be 18*((-71)\/12 + 18\/(-24)). Let q = z + 115. What is a(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose 0 = t*f - 55 - 137. Suppose 4*q - 19 - 29 = 0. Calculate the highest common divisor of q and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a + 3 + 20 + 17. Let y be u(-12). Let s = -96 + y. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1782894 is divided by 445721?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b - 13. Calculate k(-21).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a + 47*a - 215*a + 24*a + 43*a + 48*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71569840 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1427037362?\nAnswer: 1427037367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let a(b) = -2. Let l(h) = -a(h) + 2*m(h). Let y be l(-3). Suppose -5*z = -4*z + s - y, 3*z = -4*s + 20. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/2 + 1141*n**4\/2 + 44658*n**3 - 234162*n**2 + 285120*n = 0 for n.\nAnswer: -1056, -90, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74663282 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 12*z + 7. Give g(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1032)\/(-1295) - 2\/2 - (-38)\/(-266) and 64\/425.\nAnswer: 15725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 497543.631 to the nearest one thousand.\nAnswer: 498000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 1\/30*l**6 - 1\/12*l**4 + 0 - 3\/20*l**5 + 0*l**2 + 1\/42*l**7 + 1\/3*l**3 - 22*l. Suppose n(a) = 0. What is a?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.1064 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87948 and 571662?\nAnswer: 1143324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387371*k + 387449*k = -2808 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39342930709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2774 and 304.\nAnswer: 22192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256 + -255.81. Let t = l - -0.01. What is the second biggest value in 2, -4, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/8 - 27*b**3\/8 - 575*b**2\/4.\nAnswer: b**2*(b - 50)*(b + 23)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 9. Let s be v(10). Let i(l) = 10*l**3 - 2*l**2 + 1. Let o be i(s). Suppose o*k = 7*k + 6. Solve -5*x - 4*p + 10 = -5*p, 0 = x - k*p - 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*x**3 - 9585*x**2 - 7632*x - 1524.\nAnswer: -3*(x + 127)*(5*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211217 + -211165.0049. Let d = b + -52. What is d rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/5)*q)\/q**(-12))\/((q*q*(q\/(((q**(-2\/13)\/q)\/q)\/q))\/q*q)\/q**(-19)))**(2\/11) assuming q is positive.\nAnswer: q**(-1476\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 + 6*z - 17. Let k be v(15). Let t = k + -3190. Let r = t - -24603\/16. Calculate the common denominator of 3\/22 and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = 2*b + 33. Let l = 320 + b. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 18*d - 5*d. What is the greatest common factor of d and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/45426720 and -161\/4219200.\nAnswer: 1362801600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2, 2*h - 563 + 58 = y. Let s = h + -251. Which is greater: s or 16\/15?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -592*l + 54 - 127 + 34 + 39 + (4 - 5 + 2)*(4*l - 7*l + 2*l).\nAnswer: -593*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -10) + 2 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + 5 + (2 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -5, -11, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 p, and 1 i when four letters picked without replacement from {k: 1, t: 1, p: 5, n: 3, i: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065978 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587786 is divided by 57?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-1 - (5 + -3)) + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from ygyygtyyyyyggyggyygg.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfr when three letters picked without replacement from twfxtwwwktfrfft?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-1 - -3) - -1. Let l = n + -22. Let c = l - -76\/3. Sort 3, 5, c in decreasing order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24982, -99882, -224686, -399376, -623934, -898342, -1222582, -1596636?\n\"Answer: 3*t**3 - 24970*t**2 - 11*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3.5. Let y be (-1 - -5)\/(238\/7). What is the nearest to -1\/4 in -0.3, y, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2880)\/(-100)*((-1 - -12) + 4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10255017*i**2 + 923325*i - 7 wrt i?\nAnswer: -20510034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 14*t - 2*t**4 - 99*t**3 + 99*t**3. Let m(a) = -4*a + 2. Let d(y) = 5*y - 3. Let l(b) = 2*d(b) + 3*m(b). Give l(n(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7804 rounded to two dps?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 175*f - 1049. Let j be s(6). Let x(a) = 7*a**2 - a + 7. Let i(r) = r**2 + 1. Give j*x(u) - 5*i(u).\nAnswer: 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*l + 170*l + 4*l)*((l - 4*l + 4*l)*(-1 - 2*l + 1) + (2 + l - 2)*(-4*l + 3*l + 2*l)).\nAnswer: -207*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i + 4. Let l(y) = 542*y**2 + 3*y - 12. Determine -l(j) - 3*p(j).\nAnswer: -545*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282438 and 4068?\nAnswer: 63830988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-3*5\/30*(-5)\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 760 - 415. Is -1*(-2)\/(6\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((((d*d**(-15)*d)\/d)\/d)\/d))**(2\/7) assuming d is positive.\nAnswer: d**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43671?\nAnswer: 3, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -18. Let z = d - -11. Solve 5*r + 3*w = -22, z*r + 5*w - 2 + 28 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v)**9)**(-4)*v**(1\/3)\/v**(-3\/2)*(v**(2\/5)\/v)**(1\/6) assuming v is positive.\nAnswer: v**(-1594\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 422 + 12 = 3*g + 65, 0 = g - 2*y + 191 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {r: 1, b: 5, o: 1, t: 13}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-2)\/(-4)*0. Let b be (55\/(-25) - -3)\/(6\/(-15)). Put b, a, -3 in descending order.\nAnswer: a, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x = -26 - 350 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105 - -85) + 7 + -3 + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27\/5420 - 722783\/2878020. Let p = -2\/59 - f. What is the nearest to 3\/5 in 3, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834 a factor of 3978936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1761088 and 4256?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-7 - (-3 + 0)). Which is the closest to w? (a) 2 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2827.84 and 0.08?\nAnswer: 2827.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1976 + 1976 + 34*v + (0 + 0 + v)*(2 - 5 - 3).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2270 - -13?\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 48*o + 1301. Let k be j(-27). Solve t - 4*y = -19, 5*t + 0*y + 35 = k*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864588116 to the power of 1\/3, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 10 - 10 + 6*q**2 - 3*q**2 - 2*q**2 + (-2*q + 0*q + 0*q)*(2*q - 5*q + q) + 0*q + q**2 + 0*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0 + 3*u**2 - 6 + 18*u + 28 - 82*u. What is h(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532.3077nm to kilometers.\nAnswer: 0.0000000005323077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 - 51*x + 2. Calculate u(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 941736 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 530 and 729280.\nAnswer: 729280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 8. Let w be 32\/6 + (-1)\/3. Let u = w + -5. Does 7 divide o(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 512242 + -330927. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 2*q**2 + 48*q + 6628*q**3 - 2*q**2 - 6632*q**3 = 0 for q.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)*i**(-5)\/i*i assuming i is positive.\nAnswer: i**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 9. Let z be i(-8). Let c = z - -3. Let n be (0 - (4 - c))\/(-2). Solve -3*h + 5 = -n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 12 = -0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzzzgszzszss. What is prob of sequence gsz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*r - 3*u, r - u - 1 = -5. Suppose -5*m = 4*n - 342 + 33, n - 1 = r. Suppose -188 = -3*s - c, -s + 0*c = 2*c - m. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 833180?\nAnswer: -833176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*sqrt(65) - sqrt(65)))\/(-1*sqrt(15)\/sqrt(3)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 + 2*x - 1. Let y be m(2). Let i(r) = -5*r**2 + r + 1. Let d be i(y). Put 3, 0, d in descending order.\nAnswer: 3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11936, 24073, 36204, 48329?\n\"Answer: -3*k**2 + 12146*k - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50230.\nAnswer: 2, 5, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 233, 17 in ascending order.\nAnswer: -5, -3, 17, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3 - 1. Suppose a*x = 3*g - 475, -g = -0*g - 3*x - 163. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5197 - 12*w - 5197.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 10:52 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.57 (c) 8\/7 (d) -1 (e) 492\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11*y + 0 - y**2 - 5*y**2 + 1 - 4. Let j(a) = a**2 + a + 1. Let m(b) = g(b) + 5*j(b). What is the units digit of m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195200 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 17 + 2. Suppose 2*r = q + 21. Suppose 4*m + 0*m - r = 0. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuvsuuusuuvuuu. What is prob of picking 2 s?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyww when four letters picked without replacement from iiiyiwwp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 1. Let t be g(7). Let m be t\/(-45) - 553\/(-3). Calculate the greatest common divisor of 46 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.690086 days in nanoseconds?\nAnswer: 578023430400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 (base 9) in base 2?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -17 (c) -242 (d) 1\/2 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27143245 is divided by 5959.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 41*m - 96 = 4*a, -m - a = -63. Let v = m - 46. Solve -v = -4*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2335, -3663, -5015, -6403, -7839?\nAnswer: -9335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l**3 + 2*l**2 - 3*l + 4. Give g(2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.468102368 to five decimal places.\nAnswer: -0.4681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15990, -15982, -15972, -15960, -15946, -15930, -15912?\nAnswer: -15892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -591 - -598. Suppose -2*a + 57 - y = 0. Calculate the remainder when 223 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 12. Let y be m(-10). Let w = -8 + -95. Let g = 102 + w. What is the nearest to 1\/3 in -0.4, y, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**3*i**3 - 2*h**3*i**2 - 2*h**3 - 170*h**2*i**3 + 143*h**2 wrt i.\nAnswer: -18*h**3 - 1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31858 + 14771 = -1045*z + 49656 + 14767 for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a week in hours?\nAnswer: 1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.5042 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 327682720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/8031 and 79\/795?\nAnswer: 2128215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.97, -1, -0.4.\nAnswer: -3.97, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 7.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 100882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 11*q**2 - 9*q + 3. Calculate g(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:12 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2. Let a(l) = 52623*l. What is a(z(j))?\nAnswer: 52623*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3613*y + 456 + 448 - 904 + 1196*y.\nAnswer: -2417*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/(-13))\/((-257796)\/(-2457) - 105)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 42. Let n be b(-23). Suppose 0 = 3*c + 4*s + 251 - 32, -3*c = -4*s + 243. Let h = c - n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**4 - 12*o**4 + 9*o**4)*(0 + 1 + 1)*(o - o - o).\nAnswer: 24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 - 42*u + 50. Give n(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p**3 + 7*p + 5\/12*p**4 - p**2 + 0 - 47\/60*p**5. What is the second derivative of x(c) wrt c?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 2:45 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-264 + 53 - 429)*(-1 + 1 - 2*w**3) as t + y*w + z*w**3 + k*w**2 and give z.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 8. Let r be u(7). Let o(i) = -3*i - 3 + i**3 - 2*i + 6*i + 6*i**2. Determine o(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1812093 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10561834?\nAnswer: 2, 19, 499, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -c - 3*v + 7, -4*v = -5*c + 34. Let b be 0\/(c\/(-9)*-3). Let a(f) = f + 10. What are the prime factors of a(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d**2 + 8*d**2 - 13*d**2. Let z(i) = -i**2. Give z(q(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 36*t - 69. Determine p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 27*z**2 - 26*z - 35. What is p(28)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -6*q. Suppose -3*p + 3 = 2*a - 3, -2*p - a + 5 = q. Calculate the highest common divisor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.598522 centuries in months?\nAnswer: 9118.2264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y\/(y**(1\/3)\/y)*y*y)\/y*y)\/(y\/y**(-4\/3))*y*y\/(y*y**(3\/10)\/y)*y*y**(2\/3))\/(((y**1*y*y)\/y)**(-22)\/(y**0\/y**7)) assuming y is positive.\nAnswer: y**(437\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -420422430?\nAnswer: 420422430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140403.3 litres to millilitres.\nAnswer: 140403300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(8\/7))**(-3\/16) assuming v is positive.\nAnswer: v**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/(-25))\/6)\/(4\/(-2))*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a - 1300?\nAnswer: -12c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 6*y**2 - 7*y - 1. Let j be i(7). Let k be ((-7098)\/4620 - (-6)\/4)\/((-2)\/10). Put -7, k, j in decreasing order.\nAnswer: k, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 - 2*z**2 + 31 + 43)*(1 - 5 + 5) in the form a*z**2 + s*z + l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 358 - -5853?\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3924, -7853, -11788, -15729?\n\"Answer: -3*c**2 - 3920*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2. Let h = -940 + 940. Let q(k) = 71 + h*k + 2 + k - 17 - 10. What is i(q(j))?\nAnswer: j**2 + 92*j + 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 23 - (-1 - -4)) + (9 - 2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 89681140 divided by -578588\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0614 + -0.0186. Is c at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*w - 15 = -5*w, 5 = -5*w. Suppose -2*j + 0*g + g = -o, -22 = -2*j - 2*g. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -671\/13 + 52. Is w < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11033516 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1708606358753 + -0.17\nAnswer: 1708606358752.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/20)\/((-21)\/(-10)). Let v be 14\/(-24) - 1\/(-4). What is the nearest to 0.1 in v, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5247 - 5229 - (43 - -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/10, 2\/13, -0.4, -2\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t - 3207 = -107. Calculate the highest common divisor of 527 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3 - 25*h**2\/2 + 18*h. Let y be z(-5). Suppose 0 = -o - 0*g - 2*g + 86, -y*g = o - 95. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57160.1 seconds in nanoseconds?\nAnswer: 57160100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.0498 - 19. Let q = -2.8398 + x. Let b = q + -1. Round b to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 6*k + 2 = 0. Find the third derivative of 188*a**k + 49*a**6 - 100*a**5 - 3*a**4 + 5*a**4 - 50*a**6 - 2*a**4 wrt a.\nAnswer: -120*a**3 - 6000*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 49*j - 23*j + 2 = 23*j, h + j = 0. Let y be -2 + 16 + -1 + 0. Which is bigger: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 3}. Give prob of picking 2 r and 1 n.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j + 2891 - 812 = -561 for j.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18898 is divided by 209?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -20, -13, -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s - 25, -151460 = -5*m + s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-27)\/c**(1\/2) assuming c is positive.\nAnswer: c**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c0b57 (base 13) in base 10?\nAnswer: -715956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from onoouunkkkdnouo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/333 or -6?\nAnswer: 7\/333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46102 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3861 + 1261. Round g to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*r**3 + 893*r**2 + 99716*r wrt r.\nAnswer: 114*r + 1786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4320642612 rounded to three decimal places?\nAnswer: 0.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 1 - 11, -v + 4*s + 21 = 0. Calculate the greatest common factor of v and 590.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -14*j + 19*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (11 - 9) + (-7 - -5 - 0) + -118?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5177, 41234, 139081, 329606, 643697, 1112242, 1766129?\nAnswer: 2636246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28 + (17 + -24 - 8). Solve -r*h + 25 = -27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1487, 1452, 1397, 1316, 1203, 1052, 857, 612?\n\"Answer: -o**3 - 4*o**2 - 16*o + 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.22 + -9.12. Let h = p + 5.34. Which is the nearest to -1\/5? (a) -3 (b) 9\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93\/2 + 45. Let r be ((-3)\/(-12))\/(1\/4). Suppose 2 + r = -u. What is the third smallest value in 3\/7, u, h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101001011110 (base 2) to base 15\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 83.\nAnswer: 82.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-15) - 10\/75*-93. Suppose 5*r = -3*m + 8 + w, 0 = -3*r - 6. Solve 2*i + 0 = m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 5*s - s. Let n(v) = 2*v. Suppose 2*o - 3*i + 23 = 0, 11 + 13 = -2*o + 2*i. Suppose 50 = 5*p - 5*a, -4*p - 4 + 8 = 5*a. Give o*n(g) + p*c(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2502*x - 1253*x - 1249*x - 21*x**2.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 != 1591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 - (-2)\/(-5). What is the units digit of (2 - p)*12 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**2 + o - 1. Let i be n(2). Let s = -103 - -85. Let x = i + s. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/670545 and -37\/51.\nAnswer: 11399265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 11679023*i + 19*i**2 + 11679026*i - 19.\nAnswer: 19*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58a + 0?\nAnswer: -58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 - 162*g - 272. Let o be b(34). Sort -71, o, -1, 1, -15 in increasing order.\nAnswer: -71, -15, -1, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s = 36*s + 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y**3 + 4*y**2 + 7*y + 6. Let u(f) be the first derivative of -2*f**4 - 5*f**3\/3 - 4*f**2 - 7*f - 1. Let k(l) = 7*m(l) + 6*u(l). Factor k(o).\nAnswer: o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 27. Let d = 18 + p. Calculate the greatest common factor of d and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4046 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 15 - 5. Calculate the lowest common multiple of 35*(-10)\/(-25) - 5 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 444390140*c**3 - 2*c**2 + 79*c + 7213445 wrt c.\nAnswer: 2666340840*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 733299931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 75. Calculate c(-43).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*f - 5*p - 5 = 0, 0 = -4*f + 5*p - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.4, 1\/2, 2.42617?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w. Let v(i) = 9*i - 5*i - 3*i + 0*i. Determine r(v(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*s + 724 = 0, 279*s - 278*s - 1 = 0. Calculate the greatest common divisor of q and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h + 40. Let p(z) = 3*z + 28. What is 5*c(g) - 7*p(g)?\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -8)*7\/14. Let j be (2\/a - 1)\/((-15)\/18). Solve 5*k + 4*q = -16, 0 = -2*k + 2*q + j*q - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-1*2*-1*3)\/(sqrt(693)\/(-3*sqrt(275))).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100101 (base 2) to base 6.\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 885 = -d - 200, -t = 3. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 49 - 17908*m**2 + 2*m + 124*m**3 + 17908*m**2 - 37.\nAnswer: 124*m**3 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*2*sqrt(76))\/(-1*1*sqrt(4) - sqrt(4)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/5, 727009 in descending order.\nAnswer: 727009, 0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 32, 30, 24, 14, 0?\n\"Answer: -2*i**2 + 8*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(4 - 16\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/19)\/(c*c**(2\/17))*(c**(-2\/15))**(-18\/5))**(-15) assuming c is positive.\nAnswer: c**(20547\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + -53 + -1 + (4 - (54 + -57)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 110 and 103 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 39160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244525 + -3?\nAnswer: -244530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156275.1422 + 155779.9. Let k = t + 510.242235. Let r = k - 15. Round r to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1331, -2733, -4187, -5693?\nAnswer: -7251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -23656, 1, 18 in decreasing order.\nAnswer: 18, 3, 1, -2, -23656","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 7515 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*j**2 - c*j - 4403110*c - 58373*j**2 - 2*j wrt j?\nAnswer: 4*c*j - c - 116746*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 44.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21002*f + 2305*f - 10284*f - 7136*f.\nAnswer: -36117*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 0*g**3 + 3*g**3 + (2*g - 6*g + 2*g)*(0*g**2 - 2*g**2 + g**2).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 + p + 1. Suppose 6 - 14 = 3*t + f, -2*t = 3*f + 10. What is g(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 3:45 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/4 - 11*r**2\/2 - 12*r = 0. Calculate r.\nAnswer: -2, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -74*i - 455. Let s be u(-8). Which is smaller: -10\/9 or s?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -2 (c) 78\/5 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -72368.27 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -4172416?\nAnswer: 4172420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*j - 30, 37*g + j - 8 = 35*g. Factor -91*v - 274 - 137*v + 5*v**g + 38*v + 79.\nAnswer: 5*(v - 39)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 39*t**3 - 6*t**2 + 17*t - 14. What are the prime factors of m(4)?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 27. Determine w(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3 - 21*y + 5*y**3 + 11*y**2 + 6 + 0*y - 2. Let z(p) = p**3 + 2*p**2 - 4*p. Determine -2*a(x) + 11*z(x).\nAnswer: x**3 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -15. Let t be 428\/24 - (-1)\/j. Let d be -2 + (t - 2) - 1\/(-1). What is the greatest common factor of 105 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16812)\/(-42030) - 2\/(-10)*43\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12 - -19 - (-2)\/1. Suppose -22*l + 23*l - 81 = 0. What is the greatest common divisor of l and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/7)\/u**4)**(-1\/21)\/((u*u\/u**6)\/(u**(-5)*u))**39 assuming u is positive.\nAnswer: u**(8\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j - 10 = 0, 5*b - 70 = -2*j. Let q(k) = -137*k - b + 32*k + 0 + 3. Is q(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -318*i - 886. Let n be v(-2). Put 3, -4, n, 8 in decreasing order.\nAnswer: 8, 3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 2*s**2 - 4. Suppose 5*y - 18 + 3 = 0. Suppose -2*d + 0*k - 6 = -3*k, 5*k + 9 = -y*d. Determine c(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 1730*l + 44278. Give p(-26).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 2:32 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:43 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:22 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231392314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 55. Give x(-65).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -184267 or -184258?\nAnswer: -184258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**3 + 2*b**2 - 10*b + 1. Let p be d(4). Suppose -103 - p = -5*u. Calculate the remainder when u is divided by (1 - -3)*11\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1778800 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -17. Let x(m) = -m + 1. Give x(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - 0)\/((-3)\/(-18)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 4. Let t = m + 6. Suppose 0*f - 4*f + 8 = t. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8769 + 8853. Suppose 0 = -v + 28 + 32. What is the highest common factor of g and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 99 = 4*d + h, -5*d + 5*h = -285. Suppose -g + 33 = -j + 3*j, 3*j + 2*g - d = 0. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -898, 5, -38, -3\/7, -4, 2\/35?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**3 - o**3 - 7*o**3)*(-3 - 1 - 6)*(1 + 2*o**2 - 1).\nAnswer: 260*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q, -3*t - 2*q + 222 - 86 = 0. What is the remainder when t is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22271.91 rounded to the nearest ten?\nAnswer: 22270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 + 6768*h\/7 + 5725728\/7.\nAnswer: 2*(h + 1692)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, 3\/5, -6, 0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -940 - 197?\nAnswer: -ad7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -v - 7, 3*f = 6*f + 3*v - 9. Suppose 2*i - 20 = -5*p + p, 0 = 5*i + 5*p - 25. What is the units digit of 7*(i\/3 + f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 54 + (0 - (-2 + -1 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -20 - 7 - 3*w - 1 - 2*w. What is the tens digit of b(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k + 5. Let l(u) = 1986*u**2 - 473*u - 55. Let r(p) = 22*d(p) + 2*l(p). Find the second derivative of r(f) wrt f.\nAnswer: 7944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3405*j - 4 - 11 + 2.\nAnswer: -3405*j - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39\/8, -5, -1.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/30 - 64*o**5\/15 - 1085*o**4\/6 - 3844*o**3\/3 - 5590*o**2. Factor c(r).\nAnswer: -4*(r + 2)*(r + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 186 (b) 3\/7 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 6*g - 62. Let p(u) = 3*u + 46 - g - 19. Let b(a) = -3*a. Determine 4*b(r) + 6*p(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 9*g**2 + 9*g + 10. Let i be x(-8). Suppose -2*y - 14 = -2*h, 4*y = i*h - 14 - 4. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 2*q + 39. Let k(p) = -12*p**2 + 7*p - 157. Let v(n) = 6*k(n) + 22*s(n). Differentiate v(t) with respect to t.\nAnswer: -12*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0.9. Let d be -2 - -4 - (-16)\/(-7). What is the biggest value in d, o, -0.05?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -n + 6*n. Let t = 873 + -872. Calculate the smallest common multiple of n and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-591*y + 552*y - 1825*y - 697*y - 801*y)*(1 + 3 - 2) to b + h*y and give h.\nAnswer: -6724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2647564*m**4 - m**3 - 495619 wrt m?\nAnswer: 10590256*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 3*w**3 + 21*w**2\/2 + 64*w - 4. Is z(-4) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -4 (c) -624680207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*(-12)\/9. Suppose o + 2 = 3*o, -i*b = o - 33. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -169 - -2?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1116*c**2 - 17*c**3 + 20 + 1116*c**2 + (0*c + 2*c - c)*(3*c**2 - 2*c**2 - 3*c**2) - 4*c + c**3 + 4*c.\nAnswer: -18*c**3 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -7*n**8\/960 - n**7\/20 - n**6\/12 - n**5\/15 - 5*n**4\/24 + 9*n**2. Let l(p) be the second derivative of t(p). Factor l(q).\nAnswer: -(q + 2)*(7*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 3. What is the remainder when 0 - (-86)\/4*2 is divided by -45*(4\/2)\/q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, 1, 0.158, -1.6.\nAnswer: -1.6, 0.158, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x**2 - 2*x - 2*x + x**3 - 1 + 14*x**2 in the form u*x**2 + n*x**3 + q*x + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 392853204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2551*x**2 + 19*x + 60. Let f be w(-4). Round f to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 - 4*n - 7. Suppose 0 = 6*z + 41 - 149. Let l = z + -11. Does 7 divide m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 3*s + 4. Let u be p(3). Let a = u + -2. Suppose 0 = -3*i + 5*m + 374, 0 = a*i - 4*m - 98 - 148. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 13. Let d(q) = -q**c + 8*q**2 - 4*q**2 - 9*q**2 + 0*q + 5 - q. Let p be d(-5). Solve -2*v - p = -7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68 + -b?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6492273.26 rounded to the nearest 100?\nAnswer: 6492300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46356 = 18*n - 7986. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/992 - 11889\/4960. Which is the closest to t? (a) -2\/3 (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -348, -2\/11, -1\/2?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 5*b = -221. Suppose 17 = -4*o + b. Is (-67968)\/(-27) + o\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12 = 4*r, -q + r + 1 = 0. Let y be (0 - -1)\/((-3 - 0)\/(-3)). Sort 3, q, 0, y in decreasing order.\nAnswer: 3, y, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let c(d) be the second derivative of -d**4\/12 - 7*d. Give c(r(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7359019 + 29759019. Suppose 6*p = -p - h. What is p rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 421*r**2 - 1 + 196*r**2 + r + 127*r**2 to j*r**2 + u + p*r and give j.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blul. What is prob of sequence bul?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbteejetetee. Give prob of sequence tb.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x. Let j(k) = 8*k**3 - 4*k. Suppose 0 = -26*p + 42 + 62. Determine p*y(z) + j(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15093*h**3*j*q - 139*h**2*j*q + h*j*q - 34972*h*j + 2*h*q - 3*h + 2*j*q - q wrt h.\nAnswer: 90558*h*j*q - 278*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + 1. Calculate i(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17628, 17613, 17586, 17541, 17472, 17373, 17238?\nAnswer: 17061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f**6 - 26*f**6 - 3*f**2 + 2*f**2 - 5*f**2 wrt f.\nAnswer: -1920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + 3)*(0 + 3 - 1) - 1 - 4 + 7)*(-4*v**4 + 2*v**4 - 3*v**2 + 4*v**2) as i*v**3 + g*v**4 + k*v + z*v**2 + u and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4883 * 23\nAnswer: 11.2309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4967391ns?\nAnswer: 0.000000000008278985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10024682 (base 9) to base 5\nAnswer: 2212041232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 109826116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094616287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -58\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -48. Let z(l) = -l**2 - l + 80. Let t be z(0). Suppose 0 = -5*x - 25, -5*n + 4*x = -0*n - t. Calculate the least common multiple of i and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 0.1067.\nAnswer: 5.1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -9) + (-5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1428553 and 644?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u - 20. Let y = -26610.7 - -24824. Let q = 1787 + y. Which is the second biggest value? (a) q (b) u (c) 0.03 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3608951, -7217904, -10826853, -14435798, -18044739, -21653676?\nAnswer: -25262609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*o, -4*o + 262117 + 1179871 = -2*a. What is a rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3092 + 15459\/5. Let q = 91 + -91. Let u = -86 - -169\/2. Which is the nearest to s? (a) q (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/6 + 79*w\/3 + 157\/6 = 0.\nAnswer: -157, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*a - 117*a - 2*v + 364, 0 = 5*a - 4*v - 570. Calculate the remainder when 999 is divided by a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173983169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -768*k**3*n**2 + 85*k**3*n + 3*k*n**2 + 2*k*n + n**2 wrt n.\nAnswer: -1536*k**3 + 6*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 + 832*u - 844*u - 2*u**2.\nAnswer: -14*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 395\/84 + -104\/21. Which is the biggest value? (a) t (b) 20 (c) -4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36.034 + 0.034. Let q = x - -23. Let u = q + 11.1. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 bigger than 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c**2 + 7*c + 7. Give z(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + 2*z)*(1 + 3 + 10274*z - 10266*z).\nAnswer: 32*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -1758?\nAnswer: -1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:54 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 - (-6 - -5). Let g(t) = -6 + 3*t**2 + 0*t + 4*t + z. Is g(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -19*p**5\/60 + 618*p**2. Let i(m) = 44*m + 1. Determine h(i(y)).\nAnswer: -36784*y**2 - 1672*y - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 686200.29 rounded to the nearest one thousand?\nAnswer: 686000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-5))\/((-9)\/12). Let u(i) be the first derivative of 0*i - n*i**3 + 3 - 3\/2*i**2 - 1\/4*i**4. Determine u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 280*b**3 - 8*b**2 + 18*b - 123. Is y(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 11. Sort -3\/8, 4, k in increasing order.\nAnswer: -3\/8, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 - 94\/(-4). Suppose g + 21 = 2*r. What is the least common multiple of 12 and r?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -115\/3*h**3 + 334*h + 0 + 0*h**2. Let a(s) = -3*s**2. Give a(l(p)).\nAnswer: -158700*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 401213 (base 6) in base 13?\nAnswer: 113a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avdadvdv. What is prob of picking 1 v, 1 d, and 1 a?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12362 + -12140. Solve -230*d + b*d = 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 7*a**3 + 7*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**6\/2 + 11*a**4 - 31*a**3\/3 - a**2\/2 - 51. What is the third derivative of y(m) wrt m?\nAnswer: 180*m**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1505, -1549, -1593, -1637, -1681?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 62?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -3.43944\nAnswer: -3.73944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 389 - 387. Which is the biggest value? (a) l (b) 0.8 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8156.1 - 8156. Put -3, b, 1\/11, -8, -4 in increasing order.\nAnswer: -8, -4, -3, 1\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = r - 5*r + 6 + 1 - 3, 0 = -2*r + 4*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*n + 6*n - 2, -2*c - 3 = -3*n. Let f be ((-96420)\/(-8) + n)*(-1 - -5). Let y = f - 2892539\/60. What is the common denominator of y and -33\/2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*k + 3 - k + 0*k + 3*k + (k + 6*k - 2*k)*(-1 + 4 - 1))*(0*k**2 + 3*k**2 + 0*k**2) to a*k**3 + o*k**2 + g*k + c and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1, 1\/3, 0.11, 1\/2, -321.\nAnswer: -321, -1, 0.11, 1\/3, 1\/2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064460 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 20*n**3 - 20*n**3)*(-5*n - 45*n + 3*n - 1).\nAnswer: 47*n**5 + n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 103. Which is the closest to w? (a) -2\/5 (b) 0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 - 3*y**2 + 173*y + 346. Let b be g(-2). Suppose -t = -6*t + 417360. Let o be (0 - 40)*(b + t). What is o rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453115121 (base 6) in base 11?\nAnswer: -4738119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43339988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51176, -51187, -51198?\nAnswer: -51209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*p**5*q - 1776*p**3*q + 54*p*q + 214 wrt p?\nAnswer: 380*p**3*q - 10656*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0*t + 0*t**4 + 0*t**3 - 26*t**2 - 1\/60*t**5 + 0. Let d(b) = 7*b**2. What is d(v(u))?\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 10:17 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -9. Let j(f) = -f**2 - 11. Let o(h) = -1. Let b(r) = 2. Let m(w) = 6*b(w) + 10*o(w). Let n be 375\/(-35) + (-4 - 52\/(-14)). Give i*j(d) + n*m(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/74784 and 81\/43624?\nAnswer: 523488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31609019 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaahuxhoxhhahahhuao. Give prob of sequence xx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3623600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6135 and -0.3.\nAnswer: -0.18405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 82*z**2 + 83*z + 5. Let q be b(7). Round q to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -66.530372\nAnswer: 56.530372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) -33 (b) 3.4 (c) -0.2 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 7*p**2 + 9*p - 6. Let f be j(8). Suppose -f*h - 2*h = -4. Let k(g) = -2 - h + 3*g - 1 - 2*g. Give k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6982684 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 9. Suppose z*s = 10 + 20. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1143, -1112, -985, -708, -227?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -84, -326, -728, -1290?\n\"Answer: -80*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15487413056 and 0.4?\nAnswer: 15487413056.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o**4 + 36*o**3 + 10*o**4 - 4*o**5 - 30*o**3 + (o**2 - 2*o**2 - o**2)*(o**3 - 3 + 3) + 2*o**4 - 2*o**4 + o**5.\nAnswer: -5*o**5 - 2*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**2\/2 - 130*f. Let c(p) = -2*p + 8. Let n be (-1)\/(-2 - (-3 + 0)). Give n*c(q) + 10*u(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 2566*v + 22350. Give h(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-294)*-7)\/(181\/(-9)). Let f = 964\/3801 - s. Calculate the common denominator of f and 67\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) - (-4*5*sqrt(147))**2.\nAnswer: -58800 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/4613 + -1388483\/23065. Let b = 60 + w. What is the nearest to b in -5, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.08, -1\/4, 323\/4 in decreasing order.\nAnswer: 323\/4, 0.08, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2089 + 12653\/6. Let k = 3\/880 - 3259\/880. Find the common denominator of n and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/5 - 84*x**2\/5 + 96*x - 80.\nAnswer: 4*(x - 10)**2*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01222 to 4 dps.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61541764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-3*20)\/(-4). Is -1 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(256)*1 - (3*sqrt(39)\/sqrt(3) - sqrt(130)\/(sqrt(10) + 1*sqrt(10))).\nAnswer: -19*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.04, 7, 259, 0.5, 5 in increasing order.\nAnswer: -13, -0.04, 0.5, 5, 7, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32632*l - 6 - 27174*l + 6.\nAnswer: 5458*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.662996m to millimeters.\nAnswer: 9662.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*v + 1 - 9, 2*m - 5*v - 10 = 0. Suppose y - 2*u = -754, y - 5*u + 150 = -607. Let d be y\/3546 - (-10)\/45. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56760544 is divided by 429?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7598, 7603, 7612, 7625, 7642, 7663, 7688?\nAnswer: 7717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 9*w**2 - 3*w - 8. What is q(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113*n**5 - 2*n**3 + 2043 - 2043 + 2*n**5 + n**4 - n**4 + (-2*n**3 + 2*n**3 - n**4)*(0*n - 4*n + 2*n) + n**4 + n**5 - n**4.\nAnswer: 118*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -6*a + 0 - 1\/20*a**5 - 1\/3*a**3 + 1\/6*a**4 - 1\/2*a**2. Let g be z(2). Let m(d) = d**2 + 7*d + 3. Give m(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/28 + 274*i**3\/21 + 9246*i**2\/7 - 38088*i\/7 - 1896. Factor v(m).\nAnswer: (m - 2)*(m + 138)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3685 = 802*i + 3782 + 11131 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -1\/30*c**5 - 10*c**2 + 0*c**6 + 0*c + 0*c**7 + 1\/24*c**8 + 0*c**3 + 0*c**4 + 0. What is the third derivative of o(z) wrt z?\nAnswer: 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60193431 take away 1086313?\nAnswer: 59107118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -318, -18\/83, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1555979 + 778006 - 16*c + 777973.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 6*m**2 + 19*m - 181. Calculate x(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 23*w - 122*w**2 + 121*w**2 - 12*w + 4. Determine o(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -32*j + 80. Let n be 4*(j\/40 - 146\/(-8)). Is 75 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316 and 4187?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + l + l**3 - 7*l**3 + 15*l**3 + l**2 to d*l**2 + v*l + z*l**3 + j and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126320408, -5, 0.3 in descending order.\nAnswer: 126320408, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/14 - 11\/(-6). Factor 2*b + 2\/3*b**2 + h.\nAnswer: 2*(b + 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 23*y - 133. Let x be i(6). Suppose -f + 10 = f + x*q, -q - 22 = -2*f. Which is smaller: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-236)\/649)\/((-208)\/(-88)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3\/7 - 73*l**2\/7 - 310565*l\/7 + 74773989\/7 = 0.\nAnswer: -621, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -604976 by -224.\nAnswer: 37811\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (5 + -17)) + -18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 3 + 1*sqrt(162) - sqrt(162)) + sqrt(162))**2.\nAnswer: 108*sqrt(2) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, -2, 0.099, -0.1599, 3?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1001 divide 560156597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 28. Solve t + 4 = 0, p = -x - 5*t + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 3136.\nAnswer: 28224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -39\/71?\nAnswer: -39\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/120 - 2*w**5\/15 - 3*w**4\/8 + 5*w**3\/3 - 2*w**2 - 5*w. Does 8 divide b(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169526156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 6) + 1 - 2. Let v be (-2 + (-26)\/(-6))*3. Let a = w + v. Solve x = a*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/462 and -95\/693.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d = -5*i + 1018, -3*i + 2*d + 603 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:38 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 47 = -h, 0*o - 85 = -4*o + h. Let x be 1060\/o + ((-36)\/(-33))\/(-6). Calculate the greatest common divisor of 48 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -761*u**2 - 21*u. Let a(j) = -12*j. What is a(t(f))?\nAnswer: 9132*f**2 + 252*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35937?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by -84.\nAnswer: 71\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 138, 141, 144?\n\"Answer: 3*l + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)\/r)**(-34)\/(((r*r\/(r*r**3))\/r)\/(r**(-1\/2)*r)) assuming r is positive.\nAnswer: r**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -11*w + 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 5 + 9 - 3. Let s be m(7). Let d be s\/(-4) - (-24)\/16. Solve 12 = d*c + c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c. Let p be c*(-3 - (-5)\/2). Solve 0 = -p*h - 2*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78.7 + -78.6. Let u = -0.2 + -0.8. Which is the nearest to 2? (a) u (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*b - 5*b - 3*b)*(-3*b + 20*b + 28*b - 8*b) as y*b**2 + z*b + a and give y.\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-18))\/((-17)\/153)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 5:04 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - -90. What is g rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2*g**2 - 4 + 117*g - 121*g + 7*g**2. List the prime factors of z(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624658.4 rounded to the nearest 1000?\nAnswer: 1625000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p)**(-49)*(p**(-5))**(-4\/9) assuming p is positive.\nAnswer: p**(-421\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -367, -1262, -3005, -5878, -10163, -16142?\nAnswer: -24097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uumuuuuu?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwe when three letters picked without replacement from {p: 2, z: 1, n: 4, e: 3, w: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/12 - m**3\/2 + 2*m**2 - 6*m. Let z be f(-3). Suppose 0 = z*g - g - 1800000. What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2354*b + 572 = -2376*b for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, a: 9}. What is prob of sequence oa?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281*s - 284*s - 443*s.\nAnswer: -2008*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p - 12 = 46*p. Calculate the common denominator of 89\/12 and 895\/(-50) + 3 + p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/7 + 5512*c**2\/7 - 7153325*c\/7 - 176569558.\nAnswer: -(c - 2833)**2*(c + 154)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/60 and 59\/660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(2\/3))\/((-1)\/2). Let u(p) = -3*p**3 + 2*p**2 + 3*p - 1. Let q(y) = 2*y**3 - 3*y**2 - 4*y + 2. Determine r*u(k) - 2*q(k).\nAnswer: 5*k**3 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/9 - 993442*d\/9 + 2980488 = 0.\nAnswer: -496748, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.2 - 30. What is the second biggest value in 4, s, -1\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 43, 85, 151, 247, 379, 553, 775?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 6*t + 1. Suppose -4*z = -4, -49 = 5*a - 2*z + 153. Let h = a - -45. Determine i(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/60 + (-19)\/(-5). Suppose 2*i - 3*u = 157, 0 = 4*i - w*u - 244 - 67. Is -1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -217787, -217894, -218003, -218114, -218227?\n\"Answer: -q**2 - 104*q - 217682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*h = -4*h + 25 + 23, -78 = -d - 4*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 150, 306, 462, 618, 774?\n\"Answer: 156*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1\/9 + 4984\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 5 = 5*i + y, 3*i + 5*y = 37. Suppose 4 = -i*l, -32 - 25 = -4*g + l. What is the smallest common multiple of 22 and g?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i + 4. Let t be 0\/(-2 - -1) - i. Suppose 0*s - t*s = -153. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g**2 - 6*g + 2. Let i be x(6). Suppose -i*s = -5*z + 35, 2*z + 10 = -0*s - 4*s. Suppose -2*y + z*y = 6. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783 divided by 87.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**2 + 2*u + 16. Let r(i) = -i**2 + i + 4. Let o(m) = 2*l(m) - 9*r(m). Let k be o(-2). Solve -5*q = k*q - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = 3*s. Let l = 1 + 4. Calculate the remainder when (-4)\/s + (-58)\/(-6) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.014 - -17.214. Let h = k + -20. Let t = h - 2.2. Put t, -1\/4, 13 in ascending order.\nAnswer: t, -1\/4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 313*j**4 + 1258*j**3 + 963*j**2 + 18*j.\nAnswer: j*(j + 1)*(j + 3)*(313*j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72.9 + 63. Round o to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1590 - 168. Suppose 0 = 24*q - 6*q - o. What are the prime factors of q?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -17*t - 26. Let r(u) = -3*u - 5. Let w(o) = 11*r(o) - 2*x(o). Calculate w(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.14357 plus -0.2?\nAnswer: -87.34357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30473 less than -4866360.94?\nAnswer: -4896833.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0846 (b) -0.2 (c) 5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 172 = -3*k. Calculate the remainder when k is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 373.557 + -205.5436. Let z = x + -168. What is z rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - -0.48. Let s = -10 + 4. Let k = -3 - s. Sort 0.5, k, q in increasing order.\nAnswer: q, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -827*o**2 - o - 64. Let i(u) = -831*u**2 - 3*u - 63. Let f(l) = 2*i(l) - 3*p(l). Find the second derivative of f(g) wrt g.\nAnswer: 1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2641 + -29014\/11. Calculate the common denominator of (24\/50)\/(6\/(-45)) and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*v. Let h be 6 + (-1 + v)*1. Sort 2, h, -5.\nAnswer: -5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3322 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -0.05, 2\/7, -94 in ascending order.\nAnswer: -94, -18, -1, -0.05, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 91840, 91858, 91892, 91948, 92032, 92150, 92308, 92512?\n\"Answer: h**3 + 2*h**2 + 5*h + 91832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87503 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {w: 4, b: 2, s: 3, a: 6, n: 1, q: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48777.\nAnswer: 3, 71, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 120200032323301?\nAnswer: -120200032323233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -56938932870172.\nAnswer: -56938932870172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d + 73. Let z(u) = 2*u. Calculate f(x) + 4*z(x).\nAnswer: -2*x + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - f**2 + 3*f + 2. Let v be s(-2). Let n(m) = m - 1. Let a be n(v). Let x(p) = -8081*p**2 - 8060*p**2 - 1 + 16152*p**2. Calculate x(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/276 and 6\/36*-11*(-10)\/4?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 58 = 4*d, 0 = d - z - 22 + 38. Suppose -g + 22 = 5*k, 8*g + 25 = 2*k + 3*g. Sort k, 4, d.\nAnswer: d, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71 - -3?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/6, -2, -19, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 22. Solve 0 = 2*v + 2*v - s, -2*v - d*s + 18 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3979\/2 + 1989. What is the smallest value in -0.4, k, 0, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01642 times 0.2?\nAnswer: -0.003284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-38)\/300) + (-11 - -3).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-28)*56*-283. Suppose 0 = -2*k - 4*a - 7928, -4*a + d = -2*k - 6*a. What is k rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5474 + 8858. List the prime factors of m.\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(3 + 16\/(-12)). Let r = -0.8 - -0.9. Which is the third smallest value? (a) x (b) 5 (c) r (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 40. Let z(x) = x**3 - 9*x**2 + 8*x - 9. Let m be z(t). Let i = -7 - m. Solve 4*q - 4*w - 4 = 0, -q - i*w + 9 = -w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**4\/24 + 5*k**3\/6 + 2*k**2. Suppose -2*w = -j - 3*j, -j = -2*w. Let y(p) = p**2 + p + 3. Let r be y(w). Calculate d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1967 divide 293507181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174293 or -174291?\nAnswer: -174293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-42)\/18)\/(2\/6). Let s(k) = k + 7. Let j be s(a). Suppose 4*c - 6 = i - 14, -4*i - 2*c + 50 = j. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, z: 3, b: 2, e: 2}. What is prob of sequence kbze?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(1 - 2 + 2)*(-3*h**2 + 2*h**2 - h**2) + (0*h + h + h)*(12*h + 4*h - 4*h).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 3 = -7*c. Suppose -c*y - 5*l + 21 = -5*y, 11 = -2*y + 3*l. Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 13*z**4\/12 - 5*z**3\/3 - 8*z**2. Let k(c) = 1. Let r(y) = -12*k(y) + s(y). Differentiate r(v) with respect to v.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 7*m - 2*m)*(-1698*m**2 - 17234 + 17234)*(-2*m + m - m).\nAnswer: 16980*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.4 - -1.4. Let y = z + 10. Let l = 481\/1948 + 3\/974. Which is the third biggest value? (a) y (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5692 + 5701. Put p, -0.4, 0.4, -6\/13, -1 in decreasing order.\nAnswer: p, 0.4, -0.4, -6\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.195 + 4194833?\nAnswer: 4194832.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-5)\/(-10))\/((-25)\/10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 4, f: 6, a: 1, h: 1, p: 3}. Give prob of sequence qaq.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/1071)\/(680\/204)?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/7)*h**4)\/(h\/(h*h*h\/((h*h\/h**(3\/4))\/h)))**(-1\/27))**(-14) assuming h is positive.\nAnswer: h**(-3299\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1024192\/71 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2104 and 1\/2619460?\nAnswer: 1377835960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1854 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:52 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2273548?\nAnswer: 2, 568387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80.4 - -82.435. Let s = -2.92 + h. Let r = s - 0.115. Put 4, -0.4, -5, r in descending order.\nAnswer: 4, -0.4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23649637 and 5608.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2. Let s(f) = -109186804*f**2. What is y(s(a))?\nAnswer: -11921758167734416*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077604484 rounded to three dps?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1570*t**3 + 7. Let k(z) = -697866*z**3 - 3112. Give 3112*d(n) + 7*k(n).\nAnswer: 778*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 3*5\/(-15) + 2742. Suppose -3*i - 3*r = -4083, r = 3*i - i - u. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**3*i**2*k**3 + 9*g**3*i**2 - 2*g**3*i*k**2 + g**3*i + 13*g**2*i*k**2 - g*i**2 - 324*i**2*k**4 wrt k.\nAnswer: 24*g**3*i**2 - 7776*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + l)*(199*l - 314 + 216*l - 420*l).\nAnswer: -10*l**2 - 628*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 51 = -5*k, 950*w - 479*w - 475*w = -k + 39 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10) + (4*sqrt(640) - sqrt(10))) + -3 - (sqrt(15)\/(sqrt(15)\/sqrt(3)) + sqrt(3) + (sqrt(3) + -4)*-2))**2.\nAnswer: -11*sqrt(3)\/16 + 123907\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -83, -86, -75, -44, 13, 102, 229?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (53 - (16 + -17))) + 13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k = 4 + 188 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 5.9. Let l = j - 1.1. Let k be ((-6)\/4)\/((-1)\/2). What is the second biggest value in k, l, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 2759?\nAnswer: 11036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-6))\/((-120)\/(-4)). Let c be (36\/(-15) - -2)*5. Let a = c - -2. Is a not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyyq when four letters picked without replacement from yyyryqycrorppyp.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(4\/11)\/t*t)\/t)*t**8)\/(t*t**(-3\/8)*t*t\/(t\/(t*t**(-16\/5)))*t) assuming t is positive.\nAnswer: t**(4053\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -70, -61, -52, -43, -34?\n\"Answer: 9*s - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n - 6*n**4)*(7*n + 4*n + 12*n).\nAnswer: -138*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y + 8 = 0, 4*o - 8 = 4*y. Suppose o = 85*x - 86*x + 379. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1768\/10 + (-1)\/(-5). Suppose -3*c - 2*c = 15, 5*x - 4*c = r. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwawwwxawawx. What is prob of sequence xwww?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1382842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1 + 10755\/(-19359)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = m + 4. Let v = -319823.95 + 319824. Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17952988, 2, -5.\nAnswer: -17952988, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000350675741 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (25 - (52 + -11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 + 3*d. Let t be p(-2). Suppose t = g + g. Suppose 0 = g*w - 0*w - 20. Solve -a - 3 = c + 3, 3*a = w*c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/6*(-2)\/3. Suppose 0*o - o = -2*x + 1, 0 = -x - o - 1. Solve x*t + 15 = q*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74574597 rounded to 3 decimal places?\nAnswer: 0.746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffff. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 354 = -339. Calculate the remainder when 369 is divided by f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2 + 1509177*p - 46787370 = 0. What is p?\nAnswer: -503090, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 4) + (0 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -173*v**4 + 81*v**4 + 41*v**2 + 71*v**4 + 4*v**5 + (-2*v**4 + 0*v**4 + 3*v**4)*(-3*v - v + 3*v).\nAnswer: 3*v**5 - 21*v**4 + 41*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*(-141 + 13*r + 85 + 71)*(0 + 1 + 0) in the form b + q*r and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11789.2802 rounded to the nearest one hundred?\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t**3 - 2 + 22*t**2 - 22*t**2 in the form k*t**2 + j*t + a*t**3 + m and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 250348b?\nAnswer: 2503486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2051798 by -5.\nAnswer: 2051798\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v**5\/9 + 86*v**4\/9 - 88*v**3\/3 + 320*v**2\/9 - 64*v\/9 - 32\/3 = 0.\nAnswer: -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 12 - 5 = -3*w, 3*w = -4*b + 1. Suppose 2*g - 70 = -w*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*w**4 - 23*w**3 + 850*w wrt w.\nAnswer: 540*w**2 - 138*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 10*s**2 + 5*s**3 - 4*s**2 in the form a + m*s**2 + k*s + w*s**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4147 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -4088.\nAnswer: 3\/4088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 3*f + 2*f)*(4*f - 6*f**2 - 4*f)*(0 - 4 - 2) as n*f + q + t*f**3 + u*f**2 and give t.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -67, -3, -2, 2, 3, -19 in ascending order.\nAnswer: -67, -19, -3, -2, 2, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m + 5. Let i(n) = -23*n + 21. What is 9*a(x) - 2*i(x)?\nAnswer: -8*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = 15*z - 12*z. Let a = z + 121. Suppose a*n - 48 = -v + 43, 16 = n - 2*v. Calculate the least common multiple of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + 6*(sqrt(208))**2*4 + 0)*5 + 4.\nAnswer: 24944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 8:37 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 1\/5 (c) 4 (d) -9.52 (e) -1 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2832 is divided by 135.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 + 64 - (-7 + 0) - 19) + 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + 2.6. What is the second smallest value in -3, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 15) in base 3?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1068, -0.3, 36, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**3 + 15605*w**2 - 4941380*w + 141980800 = 0?\nAnswer: -3413, 32, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108342 divided by -463?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 807\/14 + -57. Let b = v + -5\/14. Which is smaller: 10 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.3, 4, -3.2, -0.2 in descending order.\nAnswer: 6.3, 4, -0.2, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 - 4*l - 5. Suppose 5 = 2*r + 3*r. Suppose -2*k - 10 = u + r, -3*k + 4*u = 0. List the prime factors of q(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5 - 20*b**4 + 196*b**3 + 736*b**2 - 5810*b + 4900 = 0.\nAnswer: -14, -7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 172 = 5*x, 4*n = 22 - 6. Let s be 22\/(-24) + 9\/x. Which is the third smallest value? (a) s (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -316 - -696. Let h = z - 380. Solve 12 = -h*m - 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-76)\/(-16) + (-3)\/(-12). Let x be 3\/15 - (-1)\/(-5). Solve -k*p + x*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:31 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 15. What is the second smallest value in -2, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3313 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -627327*d**2*o**3 + 335*d**2*o**2 - 72*d**2*o - 4*d**2 wrt o?\nAnswer: -3763962*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.023 + 0.023. What is the nearest to x in -0.3, -15, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*r**2 + 192 - 2*r + 9*r**2 - 190 to the form g + y*r**2 + o*r and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 970711277 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) -0.4 (b) -2 (c) 6.227 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -0.3, -1\/8, 206, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -9\/18909856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -0.3, -2, 12\/5, 164?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 13. Let q(n) = n - 6. Let b(o) = -13*q(o) + 6*x(o). Suppose -3*l - 2*l + 10 = 0. Let h(w) = w - w + l*w. Calculate h(b(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**2 + 21*y - 50. Let o(x) = x**2 - 4*x + 10. Calculate 22*o(a) + 4*p(a).\nAnswer: -2*a**2 - 4*a + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.06, 0.8, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 36796948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/6 + -2\/3. Let i(c) be the third derivative of 0*c**4 - y*c**3 + 0*c + 1\/60*c**5 - c**2 + 0. Differentiate i(z) with respect to z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/(-3) + 13\/(234\/27150)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2 - 19*p - 22. Let k be h(-8). Sort -4, k, -15, 3.\nAnswer: -15, -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108129 + 165616. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1698094 in -2, 5\/6, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 26*z - 272. Let c(q) = -59*q + 545. Let m(d) = -4*c(d) - 9*r(d). Let k(b) = -2*b. Give m(k(s)).\nAnswer: -4*s + 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9815*k**4 - 3*k**3 - k**2 + 2*k + 389404 wrt k?\nAnswer: 39260*k**3 - 9*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 120?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/5)\/(2\/(-5)). Calculate the highest common factor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9601752 is divided by 1031.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 29, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.99999874 - 21. What is i rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3510 + 2320. Let x = 1767 - h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.8, 2\/15, -303, -0.2, -3 in increasing order.\nAnswer: -303, -3.8, -3, -0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 + 4*g + 4. Let x(y) = -7*y**2 + 9*y + 9. Let o be (-1 + (3 - 24\/4))*1. What is o*x(h) + 9*m(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*w - 2497049*a**2*w*z**2 - 104*a*w*z**2 + 122*a*z + 38*z**2 wrt a?\nAnswer: 12*a*w - 4994098*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117502726?\nAnswer: 2, 11, 19, 47, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17*f**3 - 956*f**2 + 853*f + 76. Let h(t) = -50*t**3 + 2866*t**2 - 2558*t - 226. Let b(a) = -5*h(a) - 16*o(a). Factor b(g).\nAnswer: -2*(g - 43)*(g - 1)*(11*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 25*t**2 + 201*t + 78. Let k be w(-18). What is the closest to -1 in -0.1, -8, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 31. What is the remainder when 43 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 10*z**2 + z + 1. Let a be m(-10). Let i = a - -11. Suppose i*h = 4*h - 20. Calculate the smallest common multiple of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*y - 2088*y = 14595 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7874 to 2 dps.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0, -22, -24 in descending order.\nAnswer: 0, -1, -2, -22, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*h + 58 = 0, 3*h - 6*h = 3*i - 102. Let t = i + -38. What are the prime factors of (t\/((-6)\/4))\/((-5)\/765)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 235, 355, 475?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15248 + 15247. Put b, 2, 4, -983, 3 in descending order.\nAnswer: 4, 3, 2, b, -983","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.06, -0.3, -21, 0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 23 = -l - 2*l, -m = 4*l. Calculate the remainder when (6*(-3)\/(-30) + 7\/(-5))*-30 is divided by 2 - 6*(2 + m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 > 331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1340 is divided by 171.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chac when four letters picked without replacement from wxxxwawwxwhccc.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/1260 - w**5\/60 + w**4\/8 + 4*w**2. Let r(n) be the second derivative of p(n). Differentiate r(d) with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3\/4 + 3581643*w**2 + 14326575*w\/4 = 0?\nAnswer: -1, 0, 4775525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 455072 to the power of 1\/2, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6546*x**2 + 13248*x**2 + 8*x - 6571*x**2 in the form k*x**2 + a*x + i and give k.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 179400.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315785 and 588689.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8400828 and 10.\nAnswer: 42004140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:45 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -16. Let y = x + -7. Let a = 8 - y. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15352 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 4, 2712, 1 in descending order.\nAnswer: 2712, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3 + 778455*v**2 - 3113856*v + 3113868 = 0. What is v?\nAnswer: -259489, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 7. Let u be ((-20)\/(-8))\/((-1)\/(-2)). Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-3 + -34 - -27)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*c - 4*i + 12, -4*c = 3*i - 9. Let d be 3 - (c + -2 + -1). Suppose -2*m + d*m - 204 = 0. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48672 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 857820 or 857822?\nAnswer: 857820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**4\/48 + 223*v**3\/6 + 893*v**2\/8 + 519*v. What is n in w(n) = 0?\nAnswer: -1, 893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 3*l**2 + l + 1. Let d be (-3)\/9*-2*-3. Let z be q(d). Solve -4*n - 4 = 0, z*n = 3*i - n + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 4*x - 10 = 0, w - 285 = -2*x - 297 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + 0 + 0)*(4 - 5 + 2) - 54*g - 127*g + 43*g)*(-1610 + 17*g + 1610).\nAnswer: -2329*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20711908 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-170)\/200)\/1 - (-3 + 0)\/12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t + 20. Let c be s(5). Suppose c*l - 236 = -4*l. List the prime factors of l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 - a**2 - 1. Let s be 6*5\/(-100)*-10. Let y(i) = -14*i**3 + 2*i**2 + 3. Give s*y(f) + 8*o(f).\nAnswer: -2*f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-3) - 0)\/1. Let k(p) = -2*p + l - 4 + 0*p. Determine k(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 28*m + o - 27 = 0, -3*m = 3*o - 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98906 and 3910.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7729878\/5 or -1545977?\nAnswer: -1545977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/15)*f**(2\/5)*((f**(2\/5)\/f)\/f)**47)\/((f**(-1))**(2\/73)*f**2*f*f\/(f**(6\/11)*f)) assuming f is positive.\nAnswer: f**(-931807\/12045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3672\/7 or 5?\nAnswer: 3672\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:48 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + bb16cb?\nAnswer: bb16d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -19*i + 187. Let r(n) = -6*n + 58. Let c(t) = -8*f(t) + 26*r(t). Calculate c(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 6. Let h = -11074 - -11006.93. Let q = h + 67. Which is greater: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-196)\/(-147))\/(36105\/(-36117) + 1)?\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0*z + 0*z + 1373*z**2 + 2 - 1285*z**2. Let f(x) = x**2. What is k(f(n))?\nAnswer: 88*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4854, 19508, 43924, 78096, 122018?\n\"Answer: -f**3 + 4887*f**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -21, 1\/14 in decreasing order.\nAnswer: 0.3, 1\/14, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 1. Let i be n(-5). Calculate the greatest common divisor of i and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13453969 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 52*n**2 + 273*n - 137. Let v be z(-46). Which is the nearest to 51? (a) v (b) 7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -130103?\nAnswer: 130100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-2)\/9*(-54333)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-227 - 34 - 189)*(17*z - 2*z - 5*z) to b + c*z and give c.\nAnswer: -4500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from vuvuuuuunuuvuvuvu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35618010 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 4*s - 2. Let k be (1 - 1)\/(-3) - -1. Let j(v) be the third derivative of -v**5\/60 - v**4\/12 + v**3\/6 - v**2. Let z be j(k). Calculate h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 - 25*q**3 + 15*q**2 + 65*q - 50.\nAnswer: -5*(q - 1)**2*(q + 2)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 1 - 3. Let u be (10\/35)\/(h\/3). What is the third smallest value in u, -4, -5\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*r - 3*r - 7*r to p + i*r and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + 653 - 4*u + 2*u - 654 as w + i*u**2 + c*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 57*(-2)\/24 - (-50)\/10. Which is the second biggest value? (a) 0.1 (b) -2 (c) -7.4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15*n - 11. Let b be (6\/(-4))\/(27\/72). Let q be u(b). Factor -2*p**5 + 7*p**5 + q*p - 49*p + 5*p**4.\nAnswer: 5*p**4*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.257648l to millilitres.\nAnswer: 257.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -15. Put 1, j, -3 in descending order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(594\/12))\/((-22)\/54*3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 152 = 4*s. Suppose 5*x + s = 3*b, 2*x = -0*x - 8. Let j(v) = -v**3 - 5*v**2 - 11*v - 5. What is the remainder when b is divided by j(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -244.3 and -0.0094.\nAnswer: 2.29642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 + 2840*r**3 + 18360095*r**2 - 478758410*r + 3114906600 = 0.\nAnswer: -1668, 13, 2210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 29 = 4*n - 5*j, 0 = -2*n + 5*j + 7. Let d(a) be the second derivative of -7\/6*a**3 + 0 + 7\/12*a**4 + 0*a**2 - 1\/20*a**5 + 2*a. Calculate d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12304*j**3*n**3 - 1329*j**3*n**2 + 5*j**3 wrt n?\nAnswer: 73824*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/((-6)\/(-96)*46). Let d be ((-1740)\/207)\/(-5) + 0. Let o = d - w. Which is the smallest value? (a) 1\/4 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666548 is divided by 1495.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*u = 173 + 1325. Let k(w) = w**2 - 10*w - 1. Determine k(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 13*h**4\/6 - 14*h**2 - 9*h. Differentiate s(d) with respect to d.\nAnswer: 52*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109225 and 605?\nAnswer: 13216225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*x)*(972 - 972 - 35*x**3) + (-2*x**2 + 5*x**2 - x**2)*(-3*x**2 + 3*x**2 + 2*x**2 + 11) + 4 + 4*x**4 - 4.\nAnswer: 78*x**4 + 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 6*k**2 - 6*k - 6. Let s(g) = -g**3 + g**2 - g - 1. Let x = 61 + -67. Give x*s(f) + j(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 1472969 - 1472966 - 5*z**2 + 13*z**3 + 3*z + z**2. Let f(r) = 13*r**3 - 2*r**2 + 4*r + 4. What is -4*c(u) + 3*f(u)?\nAnswer: -13*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 34\/3 (b) 40 (c) -4 (d) -3 (e) -1\/4 (f) 298 (g) -1\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = -4*q - 400, -3*q - 12 = 0. Suppose -3*b = 2*p - 0 + 3, -3*p - 32 = -b. What is the tens digit of t\/p*-1*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -0.027?\nAnswer: -0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 3*w)*(43*w + 70 - 44*w + 2)*(1 - 1 - 2*w**2).\nAnswer: 4*w**4 - 288*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let l be w(-2). Let z(j) = -6*j**3 + 6*j**2 + 3*j + 7. What is the tens digit of z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -0.44, 58, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/4 + 3*k**2. Let n(q) = 6*q + 2*q - q - 2*q. Let x(j) = -4*g(j) + 3*n(j). Let c(s) = -2*s**2. What is c(x(w))?\nAnswer: -162*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -5 + -1 - -7. Solve -2*w - 16 = -n*h - 0, w = -5*h + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409813?\nAnswer: 409813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -23*z + 45*z - 20*z. Let i(d) be the first derivative of 170*d**3\/3 - 105. Calculate i(j(x)).\nAnswer: 680*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i\/(i**9\/i)*(i\/i**3)**10)**(-18) assuming i is positive.\nAnswer: i**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415.37 rounded to the nearest ten?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6*w = 8*w + 6, 0 = -4*y - w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-2)\/(-2))*1. Suppose b*n - 3*n = -3*x + 11, -4*n - x = 0. Is -0.1 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let t(v) = -3*v - 14. Let n(d) = -6*f(d) - t(d). Let m(g) = -7*g + 29. Let r(s) = -2*m(s) + 5*n(s). Does 5 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35670 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*z - 3*c, -3*c = -3*z + 8 + 16. Let f = -1 + z. Solve f + 2 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 580?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -12*p + 45. What is x(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(2\/7))*(r\/(r**2*r))\/r)**42 assuming r is positive.\nAnswer: r**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7 - 7 - g**3 + 2*g**3 + 8*g**2 - 20 - 13*g. Calculate b(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 5 = -p. Which is smaller: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbq when three letters picked without replacement from {q: 3, b: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:28 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 278258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 2*f**3\/3 - f. Let m(u) = 10*u**2 - 12*u + 3. Let v(c) = 68*c**2 - 80*c + 20. Let g(s) = 20*m(s) - 3*v(s). What is k(g(x))?\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-27)\/(3 - 0). Let j(h) = -h**2 - 25*h - 57. Let u be j(-21). Let r = u - q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 2426116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258697 by 236.\nAnswer: 258697\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(192) + sqrt(192) + 1.\nAnswer: -2 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12*u**3 + 115*u**2 - 39*u + 13. Determine m(-10).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, x: 2, y: 1, n: 1, z: 1, l: 1}. What is prob of picking 1 l, 1 v, 1 z, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 14. Let a be h(6). Let s(r) be the first derivative of r**2 + 5 - 4*r**4 + 5*r**4 - a*r**3 + 6*r**3 + 0*r**2. Factor s(c).\nAnswer: 2*c*(c + 1)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, j: 4, c: 5, e: 6}. What is prob of picking 2 c and 1 e?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18798 + 8782. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g - 1. Let n(i) be the second derivative of -i**3\/6 - 4*i. Let a(k) = -5*n(k) + o(k). What is the remainder when 30 is divided by a(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(-1*sqrt(1008)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*r + 10461728*k**3 - 252*k**2*r + 2240*k**2 - k*r wrt k?\nAnswer: -6*r + 62770368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1047 divided by 1712\nAnswer: -1047\/1712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 4*n - 6. Let f = 7 + -13. Let d be p(f). Find the third derivative of q**6 + 0*q**6 + 0*q**6 - q**2 - 3*q**d wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 9 + 3, 2*h = 3*s - 3692. Let u = 1516 - h. Suppose 4*k - x - u = 0, 0*x - 3356 = -4*k - 5*x. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3421312365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekke when four letters picked without replacement from ekeekee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/2)\/(y\/y**(-6))*y*y**(2\/3)*y*y*y*(y**5\/y)\/y*(y\/(y*y\/y**(-2\/15)))\/(((y**4\/y)\/y)\/y)*(y\/(y*y**(1\/3)))**(-33) assuming y is positive.\nAnswer: y**(241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18636557437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v + 2976 = 0. Let w be (5000\/(-3))\/(4\/v). Suppose 0 = 4*d + 3*z + 1240000, -3*z + 2*z = d + w. What is d rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(16\/(-10) - -2). Let n be (-6)\/4 + 3\/6. Let f be -5*(3\/n)\/15. Is k >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 67 = v, s - v = 17. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24364 is divided by 117.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 5059*r + 1 + 0 - 10122*r + 5064*r - r**3 - 19*r**4 + r**2 as u*r**4 + q*r + g + v*r**2 + i*r**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*x - 5111326 = -5114726 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (2 - 0 - -8). Suppose 4*n = -5*a - 740, -5*a - 705 = 2*n - 5*n. Let s be (32\/a)\/(4\/(-18)). Calculate the greatest common factor of x and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*b**2*r**4 - 7*b**2*r**2 - 51*b**2*r + 2*r**5 + 3*r**3 - 2*r**2 wrt r?\nAnswer: -1368*b**2*r + 120*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 151*t**2 + 235*t - 304. Calculate c(77).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*y + y. Let m(s) = y*s - s + s. Let b(i) = -3*i**2 + 3*i + 3. Let l(p) = p + 1. Let v(d) = -b(d) + 3*l(d). Determine v(m(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) 0.207 (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*4*(14\/(-8))\/(-7)*-3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/58735512 and -50\/63?\nAnswer: 411148584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/182)\/(2\/(-14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*r + o, -3*r - 2*o - 10 = 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3846086 milliseconds in microseconds?\nAnswer: 384.6086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1079c?\nAnswer: 1079c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00179343288 rounded to six dps?\nAnswer: -0.001793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*j**2*w**3 - 1120*w**3 wrt j?\nAnswer: 146*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-2)\/2 - 0). Let p be 22 + 5 - (-4 - -1). Suppose l*u - p = 2*u - 4*q, -4*q + 41 = 3*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/30 - q**4\/3 - q**3 + 4*q**2. Let c be h(5). Suppose 0 = -2*y - 4, 3*f = -y - c*y + 29. Is f > 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35275 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: Let c be ((-12)\/(-15))\/(19\/((-760)\/(-144))). What is the second smallest value in c, -400, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5402*p**2 + 6*p + 37 wrt p.\nAnswer: 10804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2667\/(-1143) - 56\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwz. What is prob of picking 1 d and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 8) in base 15?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 - (-4902)\/21. Let w = m - 236. Let a = 0.2642 - 4.2642. Sort a, w, 5.\nAnswer: a, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqnk. What is prob of sequence qn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -73. Solve 0 = 2*n - w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*m + 229 - 706 + 230 - 2*m**2 + 232 in the form v + p*m**2 + k*m and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.5. Let a = g - 0.3. Let m = -54 - -54.5. Put a, -0.1, m in descending order.\nAnswer: m, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 265106121.582?\nAnswer: -265106121.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 48286.73 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26 + 25)*1\/((-1)\/3). Let z be ((-5)\/q - 1\/3)\/(-8). Let 1\/8*b**2 + 0 + 1\/8*b**4 + z*b**3 + 0*b = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*2 + 0. Let n be (0 - (0 - 1)) + -1. Let c = j - n. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2. Let z(j) = -189*j - 56. Let i(n) = 7*n + 6. Let t(m) = m - 1. Let x(f) = i(f) + 3*t(f). Let v(w) = 56*x(w) + 3*z(w). Calculate v(y(b)).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 11. Let p be q(-15). Let f(s) = -6*s + 4. Let o be f(p). Let w = o + 17. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -25*z**4\/12 + 2*z**3 + 11*z**2. Find the first derivative of w(c) wrt c.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6765*k**5 + 18*k**3 - k**2 - 42525*k - 185 wrt k.\nAnswer: 135300*k**3 + 108*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0092 in 0.113, -0.6, -1\/4, 2?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1720 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/32 and 1649 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 25*m - 4. Let g(s) = 235*s**2. What is u(g(z))?\nAnswer: 5875*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32822, 47863, 62904, 77945?\nAnswer: 92986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 4969 in decreasing order.\nAnswer: 4969, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459 by 879.\nAnswer: -153\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4 - 7*h)*(-1 + 1 - 1)*(-7 - 3 + 2)*(-2 + 1 + 3)*(-3*h + h + 4*h).\nAnswer: -224*h**2 + 32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 0)\/((-111)\/22792). What is the highest common divisor of q and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3339\/83 - 1152744\/913. Let b = -1305 - t. What is the common denominator of 54\/13 and b?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 64430878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 0*t + 4*t)*(-1 + 2*t + 1) - t - 3*t**2 + t + (3 + 3 + 5)*(2 - 2*t**2 - 2).\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umuvuggguggd. What is prob of picking 2 g?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = -5*u + 464. Let n(v) = -2*v**2 - v**2 + 4*v**2. Let t be n(0). Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 107\/7 + ((-357)\/49 - -7). Solve u = -4*u + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-48) + 38\/12. Let v(t) be the second derivative of -4*t + 0 + 1\/24*t**l + 0*t**4 - 1\/80*t**5 + 0*t**2. Factor v(x).\nAnswer: -x*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -836 and -837 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10101101100 (base 2) to base 6\nAnswer: 10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most -134\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.627009474 + 7.627. What is h rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-16 + 6) - -56.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -37*f + 817. Calculate the remainder when h(18) is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294961585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 7*x - 686. Let p be v(-30). Let m(i) = -i**3 - 3*i**2 + 2*i + 3. Let u be m(-2). Put p, u, -2, -20 in decreasing order.\nAnswer: p, -2, u, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 + 0.91. Let y = s - 0.24. Let x = y - 0.892. Round x to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-3) - (-1)\/(-3). Let f = -11 + 28. Suppose j*t = 3 + f. What is the remainder when 12 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*p + 8 = 0, 0 = 4*h - 9*h - 2*p - 34. Suppose -3*x + 256 = 4*a, -2*a - x - x = -128. Is 2\/h - a\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -30. Suppose -6*p + 126 = l - 3*p, l - 112 = v*p. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(91))\/(6*-1*sqrt(7)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3, 2, -2\/213, 0.4?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 591 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppu when three letters picked without replacement from ppppppppppppppu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 49, 49, 51, 55, 61?\n\"Answer: r**2 - 5*r + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26737, 27624, 30037, 34738, 42489, 54052, 70189?\n\"Answer: 127*h**3 + h**2 - 5*h + 26614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*2*sqrt(1664)*-1)\/(sqrt(16)\/(sqrt(16)\/sqrt(2))*3*-6*-2).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 43*x**2 + 2*x - 122. Determine l(43).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1121? (a) -5 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1436, 1385, 1312, 1211, 1076, 901, 680, 407?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 - -89. Let x*a + 26*a - 64*a - 3*a**2 - a**2 = 0. What is a?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*p - 5, -4*p = -5*q - 6*p + 1. Let b be 140\/4 + (-9)\/(3\/q). Suppose 3 = b*z - 31*z. Solve 0 = z*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -22*k - 70. Determine d(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -11, 6, 49, 124, 237, 394, 601?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 21 = -5*u. Let m(b) = 0*b - 2*b + u*b. Let i(j) = 9*j**2 + 4. Let c(h) = -28*h**2 - 11. Let p(k) = 4*c(k) + 11*i(k). Give m(p(v)).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-10))\/t**(-2\/23))**(-46) assuming t is positive.\nAnswer: t**410","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*b + 26*b - 168*b)*(0 - 6 + 0).\nAnswer: 1716*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 2 + 1\/(-1). Suppose 5 = i + 5*p + 2, -4*i + 4*p + 12 = 0. Find the second derivative of -4*a - 3*a**3 + c*a**i + 10*a + 3*a**5 wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*r + 16, -11*p - 6 = -10*p - 2*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.4, -0.2, 0.5, -3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 24 = -20. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 191*u - 72 = 189*u, 88 = -2*x + 2*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 576\/(-22) - ((-32)\/88)\/2. What are the prime factors of y\/(-143) + (-3672)\/(-11)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74797528 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-1\/3))\/i)**(4\/5)*i**(-2\/11)\/((i*i**6)\/i)*i**5\/((i**(-6)\/i)\/i)*(i\/i**(2\/7)*i)**(-5) assuming i is positive.\nAnswer: i**(-793\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -70*p + 37*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 943198.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 + 21*n**3 - 13 + 13.\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 11 + ((-125856)\/(-252))\/(-46)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 1.1. Let q = 2\/31 - 97\/62. Suppose -14*w - 24 = -52. Which is the fourth biggest value? (a) f (b) -0.5 (c) w (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -233.45 - -1.45. Let w = 231.9989 + o. Round w to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 141*c**2 - 14 - 421*c**2 - c + 10*c - c**3 + 141*c**2 + 142*c**2. Determine g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 5*b**2 - b + 2. Let d be v(-5). Let r = d + -1. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + ((-1006)\/(-1003) - -1). Let o = c - 26099\/7021. Calculate the common denominator of 43\/3*6\/8 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -814*q - 212.\nAnswer: -814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 22, 250, -2\/3, 5\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10204324244 (base 5) to base 6.\nAnswer: -1015345154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**8 assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(2691\/6)\/3. Let h = y + -3885\/13. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14305 divided by -2861\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 - 79*a. Let c(w) = w**2 + 20*w. Determine -9*c(f) - 2*t(f).\nAnswer: f**2 - 22*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 14. Suppose 4*j**4 + j**z + 4*j**3 - 6*j**2 - 4*j + j**2 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399\/47 - (1832\/(-7786))\/(282\/(-51))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/480 and -52\/4139865.\nAnswer: 132475680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*n - 2 = -18, -5*f + 14 = -3*n. Factor -73*d**2 + 20*d + 12*d**f - 55*d**3 + 20 + 28*d**2 + 15*d**5 - 7*d**4.\nAnswer: 5*(d - 2)*(d + 1)**3*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20357 + x + 3931 + 10989 - 3621 as l*x + u and give u.\nAnswer: 31656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/4 - 2*a**3\/3 - 5*a**2\/2 + 5*a + 4. List the prime factors of i(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 - 22*y - 83*y**2 - 6*y**2 + 24*y in the form c*y**2 + f + n*y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.79, -4\/3, 2\/13, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1167 + -1165. Solve 5*n = p + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29, -59, -109, -191, -317?\n\"Answer: -2*n**3 + 2*n**2 - 22*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/2363 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 23. Let m be u(5). What is the greatest common factor of 6 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.477 plus 2?\nAnswer: 3.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 plus 1.81?\nAnswer: 2019.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7397207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*f - 4*y + y, -3*f + 24 = y. Let a(k) = 5*k + 3. Let h be a(4). Suppose 2*g - f = h. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3\/2 - 1551*v**2\/2 - 43368*v - 576966 = 0.\nAnswer: -26, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**7)\/m)*m*m**(1\/6)*m)\/(m**3\/(m*m*m**(-3\/2)))*m**(-2\/3)*m*m*m**(-1\/4)*(m**(-1\/2))**(-2\/9) assuming m is positive.\nAnswer: m**(-185\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 11 = 1. Let d be ((-10)\/3)\/(-5)*c. Solve 3*i - 4 - 5 = 3*n, i + d*n + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l + 2 - 2)*(0 - 1 + 3) - 2*l - 2*l + 3*l)*(1905 - 114*l - 1905) + (-3 + 5 - 3)*(2*l**2 - l**2 + l**2).\nAnswer: 568*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + -45. Let p(r) = -r**3 + 13*r**2 - 17*r + 14. Does 23 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/21*2653\/1516\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2) + 559\/26. Suppose -c - 21 = -h. Let j(q) = q**3 + 1. Let s(n) = -n**3 - 2*n**2 - 2. What is c*j(m) + s(m)?\nAnswer: m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825 - 98*q**2 + 80*q**2 + 0*q - q - 640 + 771.\nAnswer: -18*q**2 - q + 956","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/2 of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179136.103 - -178953. Let p = m - -183. Let a = -0.219 - p. What is a rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 3*l + 165. Let o be (22\/l)\/((-1)\/905). Let q(w) = -o*w + 362*w + 6*w**2. Let j(f) = 2*f. Give j(q(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -278517.9 to the nearest 1000.\nAnswer: -279000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {p: 6, r: 3, c: 1, h: 4, w: 4, q: 1}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22348, 22370, 22400, 22444, 22508, 22598?\nAnswer: 22720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3721.\nAnswer: 5\/3721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3444870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p + 288. Let h be k(-15). Suppose -3*q + 17 + h = 2*w, 0 = 5*q + w - 195. Does 40 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1976*t + 3931*t - 1953*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*l - 18 = 0, 2*f + 0 - 10 = 2*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 29539392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 480\nAnswer: -12000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let p(j) = -2*j + 2. Let o be p(-5). Suppose -3*u = -o - 33. Let z be u\/6*2 - -1. Give m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237 (base 9) to base 6\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehph when four letters picked without replacement from hhhfhhfhplee?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -3*w**2 + 2*w + 1\/4*w**4 + 6 + 5\/3*w**3. Let c be b(-6). Solve -c*m = -0*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -3. Let d(i) = 23*i - 10*i - 13*i + x*i**2. Let g be d(-1). Solve -2*f = 2*n + 14, -g*f = -n + 7 - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10764151 or -10764149?\nAnswer: -10764151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + 0. Which is the closest to 1? (a) q (b) -1\/5 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 13) + -2 + -6827 + 6810?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 4 + 5*m)*(-m**2 + 2*m**2 + 2*m**2) + 0*m**3 - 2*m**3 + m**3)*(2 - 5 - 2)*(-1 - 2 + 8) to g*m**2 + y*m**3 + p*m + k and give y.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Let u(v) = 19*v**2 - 5. Let z(k) = k**2 + k. Let l(h) = -14*h**2 - 5*h + 2. Let s(p) = -l(p) - 5*z(p). Let c(g) = 5*s(g) - 2*u(g). Give c(w(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -265*h - 302*h - 1027*h - 255*h + 340*h. Let k(c) = 10*c**2. Determine k(r(o)).\nAnswer: 22770810*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**31*i*i*i**49)\/(i**41\/(i*i**(-17\/2))) assuming i is positive.\nAnswer: i**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, s: 3}. Give prob of picking 1 s and 2 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 19*i + 9. Solve 3*o - i = m, -m = -3*m - o - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:29 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 2*n + 6. Let r be s(0). Let b(k) = -5*k + 42. What is b(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -364099957*t**5 + 351691862*t**2?\nAnswer: -21845997420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30388177245379 - -90944004733868230669\/2992743. Let q = z - -3\/25579. Calculate the common denominator of -121\/6 and q.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, -1\/10, 13.88?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 50*f - 86. Calculate the remainder when 4744 is divided by i(-13).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {k: 1, q: 1, w: 1, e: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*l + 5*l + 141, 5*l - 67 = v. Do v and -105\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6609*s**4 + 2*s**3 + 2*s**2 - 49292*s + 1?\nAnswer: 79308*s**2 + 12*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + -26541?\nAnswer: -26516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.282 - 5.4. Round m to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 594 + 278. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/23, 36720, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*y = 4*y + 15, -2*k - 5*y = -11. Let h be (-38)\/6 - 1\/(-3). Let r = k - h. Put r, -2, 3 in decreasing order.\nAnswer: 3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 935356270 and 2621.\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*(z*z**10*z)\/z)*z**(18\/5)*(z**(-9))**17 assuming z is positive.\nAnswer: z**(-802\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 75 = -27*m, 0 = d + 4*m - 17 + 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (14 - -6)) + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjbj when four letters picked without replacement from bjjbbjb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8846 is divided by (-27)\/(-1) - (88 + -77).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*o**3 + 11*o + 3*o**2 + 5*o**3 - o**3 - 9*o**3 - 8*o**3 as q + x*o**2 + n*o + c*o**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10365 and 24174635?\nAnswer: 3455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = -9*x. Let l = x + 7. Suppose 0*j + 75 = 4*y - 3*j, 0 = -3*y + l*j + 65. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987894.6nm to kilometers.\nAnswer: 0.0000009878946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (18\/(-225))\/(4\/(-515)) and -35\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 370.000123 - 370. Round n to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1383785 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63927 is divided by 1252?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835*h + 9286 = -138*h + 15049 + 19329 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012976 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 356 + 171 = z - 181, -13*f = -z - 10*f - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -45696600 to the nearest one hundred thousand.\nAnswer: -45700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 2\/7 (c) 301 (d) -3\/8 (e) -2\/7 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -2 (c) -46 (d) 1\/4 (e) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17338003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 139?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 821491 and 99.\nAnswer: 7393419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 u when three letters picked without replacement from uupppkppuupkuuuuup.\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*f**2*q**3 - 184*f**2 - 991*q**4 - 498*q**2 wrt q?\nAnswer: -282*f**2 - 23784*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 3.05. Let t = h - 2.8. Let w be (-2)\/(-1) - (-135 + 142 + (-46)\/10). Which is the closest to w? (a) t (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-2218)\/(-2216) - 1). What is the units digit of m\/10 + 8\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Which is the nearest to 0.1? (a) -5 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/21))**(-3)*u**(1\/17)\/(u*u**30) assuming u is positive.\nAnswer: u**(-3716\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2353, 2376, 2415, 2470, 2541?\nAnswer: 2628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1cc (base 16) to base 10\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*g - 58, -1 - 9 = h - 5*g. What is the units digit of (h\/(-30))\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 9 = 11. Suppose -s = 5*a - 126, 130 = -a + 6*a + 5*s. Suppose u = a - d. Solve -5*b + 21 = 4*f, 5*f + 2*b - 7 - u = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 154\/(-30) - (-6)\/(-9). Let r = n + -271\/30. Let x = 2444\/7 + -27206\/77. Calculate the common denominator of x and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2092 divide 951726112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -149*o**3 - 11*o**2 - 11*o. Let s(x) be the second derivative of -5*x**5\/2 - x**4\/3 - 2*x**3\/3 - x - 251. Calculate 11*s(y) - 4*u(y).\nAnswer: 46*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4950 is divided by 110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 14 = -3*z, -2623 = 4*i + z - 2665 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + sqrt(228))\/sqrt(3))**2 - (sqrt(190)\/(sqrt(40) - sqrt(10)))**2.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 39*m**3 - 7*m - 47*m**3 + 106*m**3.\nAnswer: 98*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 5*z - 117, 5*p = 2*z + 159. Suppose -h = -3, -2*x + 0*h = 3*h + 31. Let j = p + x. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1081 + 711. What is the hundreds digit of (b\/(-20))\/(4\/80)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8*(-1879696)\/(-39) + (-5)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12652, 25301, 37950?\nAnswer: 50599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + g = -0*g - 22, 137 = 5*j + 4*g. Let r(y) = -17*y + 5. Calculate the remainder when r(-4) is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 2164529*b + 118 - 2164531*b.\nAnswer: -2*b + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/27*(-4)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f - 4*f**3 + 3*f**3 + 5*f**3 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i**2 + 3*i + 4. Let k(r) = r + 11. Let q be k(-8). Is s(q) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-75)\/135*((-7)\/95)\/(-7)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-32))\/(8\/(-32))*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -246 + 264. What is the common denominator of 52\/87 and 128\/p + 2 - 2?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**6\/18 - 4*c**5\/15 + c**4\/2 + 4*c**3 + 9*c**2\/2 + 426. What is w in m(w) = 0?\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -10 + 4 + 14 + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-102)*-1*30\/(-20)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 12, s: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(2\/9)*q*q))**(1\/5)\/(q*q*q*q*q\/q**(-2\/17)*q**(-4)))\/((((q*q\/(q\/(q*q\/(q**(3\/2)*q)))*q)\/q)\/q)\/q**1*q**(1\/6)\/q**(1\/2)) assuming q is positive.\nAnswer: q**(721\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -6, 34, 134, 318, 610?\n\"Answer: 4*l**3 - 6*l**2 - 6*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3 + 168*j - 60*j + 40*j. Let w be i(5). Suppose -1852 = -5*z + 3*n, 3*z = z - n + w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1 = -2*q, -5*p - 3*q = -17. Suppose r + 2 = p. Suppose 3*d - r*d - t = 9, 0 = 5*d + 4*t - 90. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203032121 + 3?\nAnswer: -203032112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(-1 + (-3 + sqrt(14)\/(sqrt(28)\/sqrt(4)) - (sqrt(800) + 3))))**2.\nAnswer: 17024*sqrt(2) + 49344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.547 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 124.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**3 - 4*d**2 - 3*d - 1. Let q(o) = -11*o**3 - 6*o**2 - 5*o - 2. Let r(i) = 5*q(i) - 8*y(i). Factor r(m).\nAnswer: (m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1581, 5562, 12183, 21444, 33345, 47886?\n\"Answer: 1320*j**2 + 21*j + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 24 - 6 = 0. Let a(j) = 5*j**5 - 5*j. Let l(w) = 5*w**5 - 6*w. Let f(z) = k*l(z) + 7*a(z). What is the second derivative of f(o) wrt o?\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4409 - 19165 = 476*a for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17 + -20 - (0 - -6)*-1. Suppose -b*o = 2*x - 28, 2*o + 38 = -2*x + 4*x. Let f(c) = c + 13. What is the remainder when x is divided by f(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dndddnddnodqn. What is prob of sequence no?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9861531.8 * 0.1\nAnswer: -986153.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 - 29 = -5*d + 5*c, 0 = -d - 5*c + 111. What is the remainder when d is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**4 - 40020*u**3 - 23572374*u**2 + 47264796*u - 23652405 = 0?\nAnswer: -567, 1, 13905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 9. Suppose 0 = 4*w - w + m - 107, -2*w = -m - 78. Calculate the remainder when w is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - 68827?\nAnswer: -68827.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/((-3)\/12). Let z = 4 + q. Let c be (z + -4)*(-2)\/6. Does c = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/26 (b) 0 (c) 0.03 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/127 (b) -2.9 (c) 233\/48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*w - 19268, -54*w + 77063 = 4*g - 55*w. Is g a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156\/5 - 31. Let r be 40\/(-288) + (-54)\/72 - 64\/(-72). Sort r, 0.11, j in increasing order.\nAnswer: r, 0.11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 1365?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in -0.7, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 8:14 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 25 - 1*(-2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4 + 1 + 1 + 3*y**2 + y. What is the units digit of t(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3407, -6758, -10055, -13298, -16487?\nAnswer: -19622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 14*i**3 + 0*i**3 - 12*i**3.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 divided by -2033.\nAnswer: 177\/2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 + 18*h - 5. Let x be z(-4). Suppose 1 = n - 2*k + 3*k, -3*k - 32 = -4*n. Solve -u = o + 4, x*u - n*o - 12 = -0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)*(0 + 1). Let z = 8.04 - 8. Let t = 0.46 + z. What is the second smallest value in -2, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + m + 5. Let x = -52 + 49. Calculate q(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3300 - 1125.\nAnswer: -4425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1*2 + 12\/4. Solve -2*q + w*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 130.1 (b) -7 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 21. Let c(q) = -251 + 106 - q + 150. Suppose 2*a - 2*g = 0, -5*a = 3*g + 11 + 5. Calculate a*f(s) + 9*c(s).\nAnswer: -3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4*-1.6.\nAnswer: -7.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80, 123, 92, -103, -552?\n\"Answer: -15*b**3 + 53*b**2 - 11*b + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24472\/(-552) + ((-110)\/3)\/(-5)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30132031331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 7. Let l be c(2). Let u = 20 + -22. What is the third smallest value in 1\/2, -0.1, u, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282460640 divided by -127120\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 482*f*i**3 + 4*f*i**2 - 82*f - 98526*i**3 - 11*i**2 + 63*i - 3 wrt i.\nAnswer: 2892*f - 591156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1052 and 3456.\nAnswer: 908928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + -12120200112?\nAnswer: -12120122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 828036 and 44280.\nAnswer: 8280360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 947076 = -4*y, -20*y = 3*d - 18*y - 710317. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7743 - 0.3743. Sort -1, -28, 4, 5, v in increasing order.\nAnswer: -28, -1, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose 0 = -3*h + 12 - 0. Let t(b) = -4 + b - 2 + h. Calculate t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = 4*t. Let i be (3 - 0) + (-6)\/t. Suppose -2 = -5*w + 8. What is the highest common divisor of i and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -22. Suppose 2*q + t*h - 28 = 0, -3*q + 68 = 2*h + 26. Calculate the highest common divisor of q and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190.4215 + 190.6114837. Let q = 0.19 - r. Round q to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -557, -634, -763, -944?\n\"Answer: -26*j**2 + j - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 - 1180294*q\/5 - 348273481609\/5.\nAnswer: -(q + 590147)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1 + 216 + 30*f - 220. What is i(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 + 6*k - 29. Let i(f) = 2*f**2 - 5*f + 29. Let z(h) = -6*i(h) - 5*p(h). What is the tens digit of z(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0438567 rounded to 4 dps?\nAnswer: 0.0439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 0, g - 5*g = -3*w + 32. Which is the nearest to w? (a) 5 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*j + 327*j + 18*j + 257*j - 62*j)*(-6*j + 25*j - j) to the form q + x*j + d*j**2 and give d.\nAnswer: 10170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/11 - 62\/(-22). Which is the third biggest value? (a) n (b) -5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(4\/5)\/u*u)\/u**1)**(-12)\/(u\/(u**(-7\/5)*u*u)*u**(-2\/3)*(u**(1\/5))**(4\/11)) assuming u is positive.\nAnswer: u**(-1552\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((5 + sqrt(468) + -2)*-2 + 4 + (sqrt(468) - (0 + sqrt(468) + sqrt(468) + -5)))*-2 + -3)**2.\nAnswer: -360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 - 3*w**2 - 13*w - 43. Let q be b(-6). Suppose 9*s - 640 = q. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -0.03, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -398 in -4, 3, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let v(j) be the third derivative of j**5\/5 + 7*j**2. Determine v(r(f)).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 441546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 6:31 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4269*p + 4323*p - 8593*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 28*i + 45. Is 51 a factor of p(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204 or -170059?\nAnswer: -170059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423011 + 12?\nAnswer: -422444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -4. Suppose i*z = 3*z + 6. Solve -3*u + 2*u = z*b + 16, 4*u = -4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 - 219*c**4 - 5415*c**3 - 47661*c**2 - 342*c + 1169640 = 0. What is c?\nAnswer: -30, -19, -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 193024400 rounded to the nearest 100000?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*f - 28*f + 0 + 0 - 591*f + 2*f**2.\nAnswer: 2*f**2 - 526*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 707210 - -2?\nAnswer: 707212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**3 - 2*d**2 + d + 1. Let a(j) = -94*j**4 + 7*j**3 + 7*j**2 + 47*j - 3. Let h(i) = a(i) + 3*u(i). Find the third derivative of h(p) wrt p.\nAnswer: -2256*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 88. Let c be (1\/u)\/(6\/(-24)). Put 3, c, -0.1 in decreasing order.\nAnswer: 3, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-1))\/(56\/(-16)). Suppose 2\/7*s**2 + u*s - 6\/7 = 0. Calculate s.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110993380 by -4.\nAnswer: 27748345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*f = 939*f - 5824 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-4 - m + 4) + 1 - 1 - 2*m + 9 - 11 - 2*m - 11.\nAnswer: -6*m - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.1 - -51.8. Let t = -3.5 - v. Put 0.4, 2\/9, t in decreasing order.\nAnswer: 0.4, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.357000646 - 3.357. What is x rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/104 + (-525)\/546?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 15\/9)*3. Let t be (1\/w)\/(2\/4). Let s be 70\/(-32) + (3 + -3 - -2). Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 36*n**3 - 106*n**2 + 2*n - 2. Let q(i) = 20*i**3 - 53*i**2 + i - 1. Give 6*k(l) - 11*q(l).\nAnswer: -4*l**3 - 53*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 57*g**3 + 730*g**2 - 5*g - 5. Let u(y) = 57*y**3 + 730*y**2 - 6*y - 6. Let h(k) = 5*u(k) - 6*w(k). Find the third derivative of h(i) wrt i.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10377 divided by -58?\nAnswer: -10377\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in -10\/9, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 4:12 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(304))*1.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/22 and 105*4\/528 - -1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -723*u**3 + 135 wrt u.\nAnswer: -2169*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:57 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4578770609+-2.246\nAnswer: 4578770606.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/33 - 17\/1122*-1866. What is the greatest common divisor of 72 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from zzsziiszzzsziiss?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -126*s + 2144. Let v be f(17). Factor 2\/3*d**v + 0*d - 2\/3.\nAnswer: 2*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose 0 = 2*b + h*j - 18, 3*b + 2*j - 23 = -0*j. Suppose 2*a = -2*q + 22, -2 = 5*a - b*q - 7. Calculate the highest common factor of a and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46618?\nAnswer: 2, 11, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 113749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5975 - -5975.00005771. What is q rounded to 6 decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuiu when four letters picked without replacement from {u: 4, r: 4, i: 2, j: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 411. Let c(n) = -14035*n**2. Give a(c(b)).\nAnswer: -393962450*b**4 + 411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o - 3*u = -15, -3*o - 4*u = 84. Let i = -15 - o. Factor -15*t**2 + 6*t**3 - 3*t**3 + i*t**2 + 0*t**3.\nAnswer: 3*t**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -196*a**3 + 1766072*a**2 - 3980094960*a + 7953127200 = 0.\nAnswer: 2, 31530\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = -244\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/60 + c**4\/3 - c**3 + 2*c**2 - 95. What is s(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -834123 - 54?\nAnswer: -834177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -335229660787\nAnswer: 335229660787.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 78\/28 - (-27)\/(-144)*(-264136)\/5061.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43152056?\nAnswer: 2, 103, 52369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r**2 + 16*r**2 - 31*r**2. Let m(y) = 6*y. Let d(l) = -l. Let h(f) = -14*d(f) - 3*m(f). Give h(i(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154267 - -326414. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(475) + 2 - -1*-1*sqrt(475) - 6*-2*sqrt(475)*1) + 3)**2.\nAnswer: 120*sqrt(19) + 68401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**29\/j*j*j*j)\/j**(-29) assuming j is positive.\nAnswer: j**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 6. Let g = 13 + -21. Let x be u(g). Solve -5*k + 35 = -5*j, 3*k - 9 = -2*j + x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10248359?\nAnswer: 11, 59, 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x = -12*x - 10192. Let k(p) = -p**2 + 2*p**2 + 10*p + x - 196. Calculate k(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104905126 to the nearest integer?\nAnswer: 10242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*11\/66 - (-11)\/3. Solve 4*p + 28 = 3*n, s*n = 4*p - n + 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 + o - 1. Let l(p) = 3*p - 27. Let g be l(19). Let t(j) = 24*j**3 - 30*j**2 + 30*j - 30. Give g*u(z) - t(z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 12*l - 213. What is the remainder when 508 is divided by x(-14)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 191*y - 67. Let j(x) = -96*x + 34. Let p(m) = -6*h(m) - 11*j(m). Is p(-4) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - r = -7, 3*r = 45*s - 47*s + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1431498.418639 and 0.3.\nAnswer: -1431498.118639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1340 + 0?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13d3 (base 16) to base 6.\nAnswer: 35255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145139356 by 368374.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-2035)\/244200)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -1246\nAnswer: 4\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 - 7155*z\/7 + 714528\/7.\nAnswer: -3*(z - 96)*(z + 2481)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -3305?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (12\/9)\/((-12)\/(-9)). Suppose m*t - 11 = 29. Suppose d = -4*f - 6 - 9, f = -5. Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/3 - 17144*c**2\/3 + 4534180*c\/3 - 103251424.\nAnswer: 4*(c - 4008)*(c - 139)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to 284246\/6117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3563 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -5*a - m - 121, 0 = -4*a - 2*m - 218. Suppose 4*v = 7*v + 99. Let z = v - a. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-603)\/(-3) - (0 + 0). Find the common denominator of (6\/(-4))\/(11\/(-6)) and a\/(-4)*(-1)\/6.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from llaaaelellele?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 558\/23 (b) 7\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43145362 + 2?\nAnswer: -43145360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*452\/(-7). Let l = 32 - o. Suppose -r = -0*r - 3. Which is bigger: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-2)\/(2*sqrt(11)*2).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + c)*(-c**3 + 2*c**2 - 2*c**2) + 1908*c**4 + 1238*c**3 - 1238*c**3.\nAnswer: 1906*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + (-104 - -55) + (-1 - 39).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -8. Let x = z - -2. Let k = 11914\/64759 + 20\/2089. Is k at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26133 - 5?\nAnswer: 26128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663017.5ml to litres.\nAnswer: 663.0175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 62293 = -127445. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 9:34 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 c when three letters picked without replacement from {c: 4, n: 1, k: 1, s: 1, f: 2, t: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.9 - 9. Let z be -3*(-2)\/6*(427 - 18). Let t = z - 410. Put 1, 2\/9, b, t in decreasing order.\nAnswer: 1, 2\/9, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*s - 220 + 10. Suppose 2*y + 16 = 3*t, 3*t - 1 = 2*y - 3*y. Solve -r + 2*w = s, 4*w = 5*r + t*w + 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*w + 3, -w + 3*w - 2 = -3*p. Suppose p = -5*b + 7*b + 882. Let g = 848 + b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -512.57, 0.3, 0, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 3. Let p be d(3). Let s(t) = 14*t - 3 + 4 + 4 - t**2 - 10*t. Let q be s(5). Solve p = -q*h + h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/98*(-2)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 1016640.\nAnswer: 1016640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**3. Let r(k) = 15*k**3 + k**2. Let z(p) = -5*q(p) + 3*r(p). Let c(w) = w**3 + w**2. Determine -3*c(x) + z(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-24)\/(-3))\/2)\/2. Differentiate -6 - a*v + 2 + 2 + 4 wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 9. Let z(j) = -6*j**3 - 21*j**2 - 62*j - 66. Let m(u) = u**3 + 4*u**2 + 12*u + 13. Let g(n) = 11*m(n) + 2*z(n). Is g(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbzbbbbbbb.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -17*c**3 - 5*c**2 + 2*c + 1. Let u(k) = 17*k**3 + 4*k**2 - k. Let z(i) = -5*u(i) - 4*w(i). List the prime factors of z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfpffpfppppfpfppfp. Give prob of sequence pff.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2919? (a) 2\/17 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwwkwkws. Give prob of sequence kww.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -11 - 1 - 9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-12)*(-3)\/(-7))\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1132 + 0.6.\nAnswer: 1132.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.86 - -0.14. Which is the smallest value? (a) -3 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110314 is divided by 3244?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 344 + 88. Let k be (-2)\/(-4)*(66 + -2). Calculate the highest common factor of k and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (118*o**4 + 113*o**4 + 71*o**4 + 55*o**4)*(-2 - 5 + 5) to i*o + z*o**2 + q + t*o**4 + x*o**3 and give t.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/((i**(-3)*i)\/i)))\/(i\/i**(5\/6)))\/(i**0)**25 assuming i is positive.\nAnswer: i**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 27. Let o be p(9). Solve -3*u + 9 = o, 3 = 4*t - 5*u - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - 5*u. Let s(w) = -w + 7*w - 4*w**2 - 3*w**2. Suppose 12*n - 14*n - 4*m - 8 = 0, 0 = 4*m. Give n*s(p) - 5*o(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 8802?\nAnswer: 17604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 161 = 35*g - 36*g, -2*g + 292 = 2*z. Solve -144*m = -g*m + 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1324, -1, -0.2, 76?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1946*l + 1036 = 1953*l. Which is smaller: l or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 7*s**2 + 0*s**2. Let k(n) be the second derivative of 1\/12*n**4 + 5*n + 0*n**2 + 0*n**3 + 0. What is o(k(v))?\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - 1 - (28 + -4 - 12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b - 365 + 302 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 225.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 6*z**2 - 3*z + 2. Let s(i) = i**3 + i**2. Let v(h) = m(h) - 3*s(h). Let g be v(2). Solve -2*b + 7 = 3*t, 0 = -g*t + 4*t - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 20*d - 7. Let f be i(15). Let c be ((-5)\/(25\/f))\/(2\/(-25)). Let a be (-10)\/2*c\/(-25). Calculate the greatest common divisor of a and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 0.5, -25, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 123*g + g**2 + 123*g - 1244.\nAnswer: 2*g**3 + g**2 - 1244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 1 + 9 + -2. Let q(i) = i**2 - 7*i + 3. Let r be q(p). Calculate the remainder when (0\/r - -2) + 7 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)*s\/(s*s*(s\/(s*s\/s**6*s))\/s))\/((s\/(s\/((s\/s**(-1\/2))\/s))*s)\/s**(-1\/16)))**(5\/13) assuming s is positive.\nAnswer: s**(-925\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-19)\/(741\/338))\/((-1)\/(-3)*74)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 312, 405, 496, 585, 672, 757, 840?\n\"Answer: -b**2 + 96*b + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1761, 12803, 42777, 101151, 197393, 340971, 541353?\nAnswer: 808007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let b(p) = -216410*p. Give m(b(w)).\nAnswer: -46833288100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18 and -65658.31596.\nAnswer: -65640.31596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*l + 61*l + 1071 = 0. List the prime factors of l.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - 15)\/(-1 + 2). Solve -2*q = -i*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**6\/165 + 18*i**5\/55 + 13*i**4\/3 - 228*i**3\/11 + 361*i**2\/11 - 3732*i. Factor v(y).\nAnswer: 2*(y - 1)**2*(y + 19)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/7)*v*v*v*v*(v\/v**(-2)*v*v)\/v)\/(v**1)**(-16))\/((v\/((v\/v**(-1\/2))\/v))**(5\/2)\/((((v*v**(1\/2))\/v)\/v)\/(v**(-1)*v))) assuming v is positive.\nAnswer: v**(659\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzxxzzxbz. Give prob of sequence bx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-10*j + 2 + j + 16*j).\nAnswer: 14*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 327295 = 4*i - 16*i. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1. Let h(j) = 20*j + 2. Let l be h(-3). Let r = l + 55. Let z(v) = v**2 + v + 3. Suppose -14 = -i - 3*o, 2*o - 14 + 4 = 0. Give i*z(b) + r*q(b).\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {g: 1, y: 1, o: 1, a: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.067238611.\nAnswer: 0.336193055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r - 17 = 4*l + 53*r, -5 = -5*l + 4*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 3254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1305*a**2 + 54*a - 47. Is 125 a factor of m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08631683 - 5259641.\nAnswer: -5259640.91368317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:46 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 310? (a) -3 (b) 0.4 (c) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*p - 10 = 78*p - 0, 212*d = 208*d - 5*p - 23 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - f + 7, 29*f = 34*f + 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 57. Let s(q) = 8*q**2. Give m(s(j)).\nAnswer: 16*j**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 19*v + 37\/2.\nAnswer: (v + 1)*(v + 37)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4585, -9473, -14667, -20173, -25997, -32145?\n\"Answer: -h**3 - 147*h**2 - 4440*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -10. Suppose 56 = j + k. Suppose 0 = -3*t - b + 250, 1 + 4 = -b. Calculate the highest common factor of j and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d87b (base 16) in base 2?\nAnswer: -1101100001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187\/76 + -26\/57. What is the common denominator of -97\/10 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4359*z - 2368 + 0*z**2 + z**2 - 4359*z.\nAnswer: z**2 - 2368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633892 at most as big as 3633892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + ((-2)\/52 - -1). Let o = -4\/65 + g. Let b(p) = p**2 - 3*p - 4. Let j be b(4). Is o at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14*l + 99 = 0. Put 2, -3, -2, l in increasing order.\nAnswer: l, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 b when four letters picked without replacement from {b: 7, z: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8724467 to the nearest integer?\nAnswer: 2954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Suppose w = -4*d - 5 + 13. Suppose -d = -3*v + 3*z - 5*z, -3*v - 2 = 4*z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2090 + -2085.914. Let n = 0.086 - j. Let y = 2.5 + -2. Put n, 7, y in decreasing order.\nAnswer: 7, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -92. Let h(y) = -y. Let k be h(-5). Suppose 4 = k*z - 6. Solve 5*u - z*c = r, -2 + 18 = 4*u + 4*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)\/(((b*b*b\/((b**6*b)\/b))\/b)\/b))\/((b*b*b**3*b)\/b*b*b**(-3)) assuming b is positive.\nAnswer: sqrt(b)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**8*l)\/(l\/l**(-10)))\/(l**12*l*l\/(l**(-11)\/l)*l))**(2\/57) assuming l is positive.\nAnswer: l**(-88\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.19 (b) -2\/5 (c) 3\/7 (d) -3.1 (e) 2\/5 (f) -67\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) + 1)**2 + 0 + ((sqrt(128) + 1)*5)**2)*-4 - ((-2*sqrt(128))**2 + -2 - (sqrt(128) + 1 + -3)))*-1.\nAnswer: 1656*sqrt(2) + 13928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582511.\nAnswer: 582511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 3*c - 9, 2*l = -2*l + 5*c - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248062 + 0.7.\nAnswer: 248062.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 + 14*b**2 - 12*b - 40. Let i(p) = -5*p**3 + 13*p**2 - 11*p - 40. Let j(v) = -7*i(v) + 6*l(v). Let f be j(-7). Solve f*z = 9*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 7*l + 8. Let b be k(6). Let v = b + -2. Let z be v*(6\/4 - 1). Solve 3*j + z = 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 3*r - r**2 - 2 - 1. Suppose 3*u = -6, 2*i - 7 = -3*i - 4*u. Does 8 divide q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4055161 times 9?\nAnswer: -36496449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 313230 (base 4) to base 16\nAnswer: dec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 198 and 12742.455021.\nAnswer: 12940.455021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25312 and 565904?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -21, -32278 in decreasing order.\nAnswer: 1, -1, -21, -32278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 24*n + 267, -4*n - 3*m = 3624 - 3417 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/6)\/i*i)\/i**(-5\/2))**(-4\/13)*(i**(-4)\/(i\/((i\/((i\/i**(-1\/13))\/i))\/i)))**(14\/11) assuming i is positive.\nAnswer: i**(-280\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 23 = -5*v, 0 = -2*v + 3*y + 5 + 2. Suppose -v*u - 22466 = -2541. Is (u\/(-20))\/(5\/20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2829*l + 107508. Determine m(-38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 77478302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-26))\/(-3)*21*18\/(-11466). Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -5*k - 4*b - 3116, -b = 4*k - 6187. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 + 84. Let u(n) = -1. Let y(i) = i + 6. Determine d*u(h) - y(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 5*j**4 - 5*j**3 + 25*j**2 + 40*j + 16.\nAnswer: (j - 4)**2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2068?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666.8252ms in minutes?\nAnswer: 0.02778042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(17) - (sqrt(17) - (sqrt(51)\/sqrt(3) + sqrt(17))*-4))*6 + -2)**2.\nAnswer: -96*sqrt(17) + 39169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + 4*b + 0*b - 4*b + 3*b + (b - b + 2*b)*(0 + 1 + 0) + 0*b + b - 2*b + 2*b + 2 - 2)*(-35*b**3 + 6*b**3 - 32*b**3) + 0*b**2 - b**4 + 0*b**2.\nAnswer: -245*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + b**2 - 6*b + 5. What is c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/80 and 59\/32128?\nAnswer: 160640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 4*f + 2. Give y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 * -0.2\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 638 and 3608?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) - (sqrt(3) - (sqrt(3) + (sqrt(192)\/sqrt(4))**2)).\nAnswer: 6*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 116228 - 63\nAnswer: 116165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32898353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 3*s - s**2)*(-10062*s**2 - 10156*s**2 + 19381*s**2) to the form p + r*s**2 + z*s**3 + a*s + o*s**4 and give o.\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 5 - d**3 + 4 + 5. What is the lowest common multiple of 20 and f(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 1134?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p + 12. Let h(m) = -m**2 - 5*m + 11. Let k be 4 + 2*(-7 - -2). Let r be h(k). What is the tens digit of n(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/32 of a kilometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269098 and 36424.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/8162 and -25\/4664.\nAnswer: 32648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k + 3*k - 20*k + 7*k. Determine v(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 5*k - 16, 58 = 3*u + 49. Let z(i) = -i**3 + i**2 - i + 3. Let q be z(0). Which is the closest to k? (a) q (b) -2 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3306 * -0.4015.\nAnswer: -1327.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from fannfanf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 3 - 7*-1. Suppose q - d - 20 = -a*d, -5*d + 20 = -3*q. Solve -2 = -q*r - r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-5 - (2 + -3)). Suppose -2*n + 5 = -u, 2*n - 7 = -u - 0*n. Let f(d) = -2*d**3 + u - 3*d**r + 2*d**2 + d + d**3. What is f(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - -2)\/((-22 + 2)*-1). Let h(s) be the second derivative of 12*s + 0 + 1\/20*s**4 - 6\/5*s**2 + a*s**3. Factor h(j).\nAnswer: 3*(j - 1)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(31616\/192)\/(-26)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23071 (base 13) to base 5.\nAnswer: 4020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 6*o - 2 = 0, -3*a - 2*o = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 67 = 5*l, -2*l + 3*l = 4*n + 10. Let z = 86 - 59. Calculate the remainder when z is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/30)\/(b*b*b**(3\/13)\/b*b))\/(b*b*b**(2\/5)\/b*b*b**(-1\/2)\/b) assuming b is positive.\nAnswer: b**(-617\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(318\/(-36) - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1135, 9889, 33663, 79969, 156319?\n\"Answer: 1252*s**3 - 2*s**2 - 4*s - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Let l = k + -1. What is the second derivative of 7*x**3 - 8*x**3 - x**l - x + x**2 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18011330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 3. Let x(k) = -3*k + 5. Let n(w) = -5*l(w) + 3*x(w). Let q(i) = -4*i + 2*i + 4*i. Calculate n(q(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403630 is divided by 144?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y = 510 - 184 + 346 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -572 - -430. Let d = 142 + z. Solve n - 5*w = -10, d = 4*n + 2*w - 0*w - 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)\/((k\/k**6*k*k)\/k*k))\/(k*((k**(2\/45)\/k)\/k*k)\/k*k\/((k\/k**(-3))\/k)))**(-1\/4) assuming k is positive.\nAnswer: k**(23\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k**5 + 10977*k**4\/2 - 27370*k**3 + 66957*k**2\/2 - 1161*k = 0.\nAnswer: 0, 1\/28, 2, 3, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 3*h + 0*h + (-2*h - 2*h + 2*h)*(-1 + 1 - 2) - h + 3*h + h + h + 3*h + 0*h + (-2 - 1 + 5)*(h + 0*h + h).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0833, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -27*h. Let f(d) = -22*d. Give f(p(g)).\nAnswer: 594*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*u - 74, -5*u + 3*d = -u - 89. Let y be ((-3)\/(-6))\/(4\/16). What is the units digit of u\/2*y*(2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22218 + -22214. Put -5, p, 2\/17, 1, 6 in ascending order.\nAnswer: -5, 2\/17, 1, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 388*v**7\/21 + 139*v**4\/2 - 254*v + 1. What is the third derivative of x(m) wrt m?\nAnswer: 46560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 39, 9, 1\/6, 4, -0.3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14450 divided by -702.\nAnswer: 7225\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 316 and 3318?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let g(w) = -8*w + 2. Give g(x) - 6*j(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from kggo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 405.\nAnswer: -1\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -43*f**9\/504 + 7*f**7\/30 - 1129*f**5\/30 + f**2 - 389. Find the third derivative of c(d) wrt d.\nAnswer: -5160*d**3 + 1176*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -44. Let h(c) = 2*c**2 - 8*c - 5. Let o be h(q). Suppose 1693 = o*b + 3*z, 2*b + 5*z = -b + 1003. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3 (b) -8 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1078, -1\/5, 2?\nAnswer: 1078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27, 5, -0.2, -1.5.\nAnswer: -1.5, -0.27, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 5, -4, 40, 1 in decreasing order.\nAnswer: 40, 5, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*p - 15*p + 26*p + 8 + (-3*p + p + 4*p)*(0 + 0 - 2) in the form a + z*p and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a2348 - -9?\nAnswer: -2a233c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*w + 2*c, c + 505 = 4*w - 0*c + 487 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-269)\/(-2) - 9\/(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -3 (c) 704 (d) -0.4 (e) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 930650244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 16 - 7) + -3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((sqrt(588) - -2*sqrt(588)) + sqrt(588)) + sqrt(875)\/sqrt(5) + 4.\nAnswer: 4 + 141*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 9*y + 42. Let w be 61 - 3\/(y - -4). Let t = w + -53. Solve 36 = -t*v + v + 4*i, i - 14 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1861480, -3723172, -5584864?\n\"Answer: -1861692*q + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 5*h + 3*f, -5*f = 2*h - 3*h - 9. Let x(d) = -d**2 + 12*d. What is the smallest common multiple of x(h) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**2 - 106955*x = 0?\nAnswer: -21391, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4616685 months?\nAnswer: 0.000038472375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkrsghhrhrrhg. What is prob of sequence kh?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3861, 3862, 3863, 3864, 3865?\nAnswer: 3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8698.81 less than 7?\nAnswer: 8705.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 5\/2 (b) -5 (c) 0.4 (d) -0.05 (e) 5\/86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/56 + 9\/7. Let b = -1 + a. Solve -15 = -b*g + 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {a: 1, r: 2, o: 3, s: 5, n: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 7*k**2 + 5*k - 1. Calculate the lowest common multiple of 8 and c(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 13*p**2 - 13*p + 2. Let c be g(12). Let n = c + 10. Suppose n = 2*l - 161 - 47. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1701 = 14*t. What is t rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -11. Let u be (-1)\/3*(1 - -28). Let s = u + i. What is the closest to s in 2\/5, 4, 3\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, i: 3, f: 4, q: 1, c: 2}. What is prob of picking 3 u and 1 c?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 16*t - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 56. Let q = -540.5 - -540. Which is the fourth biggest value? (a) -10 (b) q (c) t (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.7, 28, 20, -1.9, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.7 minus 238332?\nAnswer: -238301.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54759*r**3*s**2 - r**3*s + r**3 - 2493*r**2*s**2 - 481*r wrt r.\nAnswer: -328554*s**2 - 6*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -37. Let g = 67 + -66.8. Which is the fourth biggest value? (a) o (b) -2 (c) g (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (428\/50)\/(-10 + 464\/40) and (93\/10 - -2) + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/325 or -2?\nAnswer: 11\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 2, -3, -2 in decreasing order.\nAnswer: 2, -2, -3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 110\/38 - (-9)\/72*-24. Sort 0, 131, -5, k, 5 in decreasing order.\nAnswer: 131, 5, 0, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/9)\/(4\/6) - 0. What is the nearest to 0 in 0.2, s, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + (-4 - -6) - 10) + -3 + -15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q = 10*q + 169. Let x = q - 9. Solve 3*b = 3*l - 9, -5*b - 9 = -x*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 20 = -5*r + 5*t, -2*r + 12 = -3*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6575 - -6574.98. Sort -4, -88, -1, b in ascending order.\nAnswer: -88, -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 211*g + 25954. Let x be p(-123). Let i = 2.05 - 0.35. Let a = i + -2. Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + (-4)\/6. Let a = 0.094 + -0.094. Let y = -0.06 + 3.06. Sort j, a, y in descending order.\nAnswer: y, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -526151, -1052314, -1578481, -2104652, -2630827, -3157006?\nAnswer: -3683189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -12118*m - 669. Is s(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 3*c**2 - 5*c - 4. Let f be z(5). Let u be (3\/9)\/(1\/f). Let b(p) = 127 - u*p**2 - 144 - p**2. Let x(k) = k**2 + 2. Determine -6*b(i) - 51*x(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2542 or 2483?\nAnswer: 2483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3425*i**2*t**5 + 4*i**2*t**3 - 17*i**2*t - 180*t wrt t?\nAnswer: 68500*i**2*t**3 + 24*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 3.93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:43 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 101 = 4*h. Solve 3*a - 2*v + h + 5 = 0, 2*a - 23 = -5*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*c**2 + 287*c**2 - 69*c**2 - 17*c - 3*c**3 - 72*c**2 - 74*c**2 + 97 to the form f*c**2 + g + o*c + v*c**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02825530134 to 6 dps.\nAnswer: -0.028255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t - 2 + 4 - 1 + 119*t**2 + 4. Is w(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let p be o\/((10\/12)\/(-5)). Let q = p - -20. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m - 14*m**3 - 10*m**2 - m - 2*m.\nAnswer: -2*m*(m + 1)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.52 - 0.62. What is the nearest to 0.1 in -1\/7, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.667*5.\nAnswer: -3.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -885, -4567, -10681, -19227, -30205, -43615?\n\"Answer: -1216*n**2 - 34*n + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:21 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 14*r**2 + 12*r - 2. Let n be g(-13). Solve -n = 2*i - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (113\/70399*42\/(-12))\/(2\/4)?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52429907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:39 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:10 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*j + 2, -3 = 5*c - 2*c - 3*j. Suppose 3*a = c, 6*a - 3*a + 1479 = 3*o. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddj when three letters picked without replacement from {d: 7, y: 3, j: 8}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjmrrjnarnnqmrn. What is prob of picking 2 m and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**4 - 4*i**3 - 5*i**2 + 4. Let s(k) = -k**4 + 5*k**3 + 5*k**2 - 5. Let p(m) = -5*b(m) - 4*s(m). What is the third derivative of p(z) wrt z?\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*r + 33*r - 338*r.\nAnswer: -256*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/77)\/((-11)\/(-1078)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*o = 0, -3*z - 2*o + 6*o = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*y - 7. Suppose v + 11 = 5*g, y*g - v - 5 = 3*g. What is the second derivative of -k + g*k**5 - 4*k**5 + 4*k**5 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 11*z + 127*z**2 - 129*z**2)*(3*z + 2*z - 4*z) as p + a*z**3 + f*z + i*z**2 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxotm. Give prob of sequence tv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-146)\/16 + (-27)\/40\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 6. Suppose -3*h = 2*h. Let s be x(h). Let g be ((-8)\/s)\/(4\/(-330)). Calculate the greatest common factor of 22 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**1)\/g**0*g\/g**(-4)*((g\/((g*g\/g**(-6))\/g)*g*g)\/g)\/g)**(-20) assuming g is positive.\nAnswer: g**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let q(c) be the second derivative of c**4\/2 + 32*c**3\/3 - 66*c + 3. Determine l(q(d)).\nAnswer: -6*d**2 - 64*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/60 and 233\/763980?\nAnswer: 763980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1 + 65 + 77 + 14 + (0 + 2 + 0)*(1 - 1 + 1) + 4 + 0 - 2)*(-r**2 - 2 + 2).\nAnswer: -159*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -3 - (-2 - 43). Let k(c) = 2*c + 25*c**2 + 1 + 19*c**2 - x*c**2. Let i = -5 + 3. What is k(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 7*b**2 + 9*b - 2. Let n be v(8). Suppose -5*y = 3*o - 24, n = 3*y - 3. Let t = -111 - -116. Calculate the remainder when t is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -22194261 and -35552.\nAnswer: -22229813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 328609.1 litres in millilitres?\nAnswer: 328609100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51\/2 + 25. Let r = 0.7 + -1.1. Which is the nearest to -2? (a) s (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2.99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 1. Suppose 9 = 2*o + 7. Let w be x(o). Suppose -4 - w = -5*v. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4213648m to micrometers.\nAnswer: 421364.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let v = -59718 + 59718.1. Let f = 0.23 - 0.23. What is the nearest to f in v, n, 0.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 6604?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 14*u - 74. What is the units digit of w(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57156734243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10775 - -10779. Suppose 5*d + 5 = 30. Suppose -2*i - 5*s + 31 = 0, -4*i + d*s = -0*i + 13. Solve i*a - 4*l = -2*a - 25, 0 = c*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708851 is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6*-3)\/((2848\/832)\/89).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-931)\/38)\/((-3)\/6). Let i = -29 + 58. Let l = c - i. Calculate the remainder when 37 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1264508848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 8, r: 2, u: 4}. Give prob of sequence knrn.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 - -101. Let u = -67 + z. Let k = 145 + u. Calculate the highest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdcdddnddnwdcdcznd. What is prob of picking 1 n, 1 w, and 1 c?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s - 4*s)*(459 + 186*s - 459).\nAnswer: -930*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -43, 5, -5 in decreasing order.\nAnswer: 5, 4, -1, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*g + 1\/4*g**2.\nAnswer: g*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 5*u - 2. Let s be (-3)\/(6\/8) + 1. Let j be r(s). Let c(l) be the second derivative of l**3\/6 - l**2\/2 + 34*l + 2. Determine c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t**3 + t**2. Let w(r) = r**3. Calculate g(m) + 2*w(m).\nAnswer: -10*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12514 + -1655. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -164906 + 10*p + 82457 - 2*p**2 + 82449. Determine f(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 22. Let s(k) = -26*k**2. What is n(s(r))?\nAnswer: 52*r**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 12550. Let p = 1298 + m. Does 6 divide 2\/(-9) + p\/(-108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one fifths of a century?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 3, a: 4}. What is prob of picking 1 e and 1 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -64*g**2 + 52*g + 6. Let p(b) = 62*b**2 - 51*b - 5. Let k = -23 - -28. Let i(x) = k*a(x) + 6*p(x). Find the second derivative of i(m) wrt m.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269 + 269 + 19*t)*(2*t**3 + 4 - 4 + (t**2 + 0*t**2 + 0*t**2)*(2*t + 0 + 0) + 7*t**3 - 2*t**3 - 3*t**3).\nAnswer: 114*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2912 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -911*k**4\/12 + 727*k**3\/2 + 309*k - 1. What is the second derivative of m(u) wrt u?\nAnswer: -1822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2 and 93\/30626.\nAnswer: 30626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 + (0 + -5 - -9) + 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -0.4 (c) -0.3 (d) -0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*v + 40*v = -15, 3*n - 1815 = 3*v. Calculate the greatest common factor of 1539 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.727567 micrometers?\nAnswer: 9727.567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 180 = -5*z, 4*v + z = -45 - 93. Is v at most -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215420 is divided by 792.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Divide 5198670 by -94.\nAnswer: -55305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11110111111101110111?\nAnswer: -11110111111101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 488 = -3*d, 3*d = 2*f - 1415 + 436. Let a = -247 + f. What is the remainder when a is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24473757577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50776639.\nAnswer: 59, 101, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002131125 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7482 and 69152385?\nAnswer: 3741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2749 - -3?\nAnswer: -2746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 8*r**2 + 3*r + 12. Let t be j(-8). Let y be ((-4)\/t)\/((-2)\/354). Let b = y - -64. What is the smallest value in 0.5, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -78*q + 93. Let i be x(-7). What is the highest common divisor of i and 994?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (558\/(-36))\/(1 - -16) and 101\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/((-15)\/25)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 4736872*p**2 + 1402372271524*p.\nAnswer: 4*p*(p + 592109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -23. Suppose -i*w + 280 = 44. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u. Let y = u + 5. Suppose -y*v - 2*t + 5*t + 150 = 0, 2*v - 4*t - 60 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 - -19112.298.\nAnswer: 19250.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/8 and -67\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.08279, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 2*p + 4 + p**3 - 4*p**2 + 7*p**2. Let l be -1*(2 + -6 + 7). Give g(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 = 4. Which is the second smallest value? (a) -2\/11 (b) x (c) 4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 47 = -5*q. Let t(s) = s**2 - s + 11. What is the remainder when t(0) is divided by (q + 0)*(0 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 71\/5 of a millennium?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 22.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c + 5*c)*(-3*c - c - c)*(-4*c**2 + 4*c**2 + 3*c**2).\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -758 and -701 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s**2 - 5*s - 1. List the prime factors of u(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2327*h + 8. Let i be z(-3). Let v = 4793 + i. What is v rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 3. Let a = -2.2 + 1.2. Let i = -111.02 + 111. What is the nearest to i in 0.2, u, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105567460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1592.069 - -2.069. Let g = -1563.56 - k. Let b = -26 + g. What is b rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5 - 14. Let q be 28\/(-6)*-1 - c. Let i = 0 - -4. What is the smallest value in -5, i, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 75. Suppose -q - 1 = -2*w. Let b(j) = 5*j**3 - 6*j**2 - 8*j - 8. Let c(z) = -3*z**3 + 4*z**2 + 5*z + 5. What is w*c(r) + 5*b(r)?\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/4 - 19*f**2\/4 + 19*f\/2 + 130 = 0.\nAnswer: -4, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7+1598.95\nAnswer: 1591.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6436256 divided by 1112\nAnswer: -5788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 120, 163, 218, 279, 340?\n\"Answer: -w**3 + 12*w**2 + 14*w + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 38*j + 270. Let g(z) = -z**3 - 6*z**2 + 738*z + 5820. Let t be g(-8). What is m(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**6 + f**3\/3 - f**2\/2 - 30. What is the third derivative of q(g) wrt g?\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389109 is divided by 78?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (8 + 11 - 16)) + (-2 - 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 less than or equal to 711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k - 50*k + 7848 = 342*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844 is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/19406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143.650808 - 0.0117?\nAnswer: -1143.662508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 809*n - 804. Give l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o + 8 - 3 - 5.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 6102*b = -3047*b - 3051*b + 19, -4*k - 6*b + 82 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 1. Let c be m(-6). Let g = 6 + -5. What is the nearest to -1 in g, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e1e - -21ec?\nAnswer: 900a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.863305mg in nanograms?\nAnswer: 2863305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 2\/15 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411828.\nAnswer: 2, 3, 34319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.8294 rounded to 1 dp?\nAnswer: 98.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 + (-4)\/2)\/(16\/16). Suppose j - n = w, -j + 27 = 5*n + 8. What is the remainder when 4\/(-14) + 970\/14 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a10064 - -4?\nAnswer: -1a10060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -20, -1\/3, 14, -2, 2\/21 in descending order.\nAnswer: 14, 2\/21, -0.01, -1\/3, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 560 - 562. Which is the closest to -3\/11? (a) s (b) -2\/25 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314618?\nAnswer: 2, 3, 219103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17500 divided by 14.\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90828169, 90828168, 90828167, 90828166, 90828165, 90828164?\nAnswer: 90828163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 3. Let z be f(0). Is 0\/(z + -1) + 83 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149955281.\nAnswer: 7, 179, 119677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3652317, -7304634, -10956951, -14609268?\n\"Answer: -3652317*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507182 is divided by 2294?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/12 and 11\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 22. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2.2, -0.2, 0.7, -2\/63?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 5*h**2 + 7*h - 5. Let z be g(6). Does 15 divide -6 - 873\/(z + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 5. Let n be a(2). Let q be (21 + n)*2\/2. Calculate the greatest common factor of q and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.925 - 37.925. Let n = 0 + -0.5. What is the nearest to y in -14, 4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:29 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*y = -10, -8*j - 8 = -12*j + y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -7, 0.22, -1, 8?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377 = 17*t + 268 - 316 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 323555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*p - 21\/2 + 3\/2*p**2.\nAnswer: 3*(p - 7)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 + 3 = 0. Let p(w) = 12*w - 2. Let z be p(s). Suppose -z = -k - k. Solve -r - 3*v = -2*r - 11, -3*r - k = 5*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -1\/6*l**4 + 0*l**2 + 0 + 1\/3*l**3 + l. What is the second derivative of h(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 2, -3 in increasing order.\nAnswer: -7, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 452025756 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039389 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1517*l**2 - 2*l - 2553 wrt l.\nAnswer: 3034*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 + 339*b\/2 + 963.\nAnswer: 3*(b + 6)*(b + 107)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, m: 2, a: 1, b: 2, l: 2}. What is prob of picking 1 s and 1 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -5 (c) 22 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -4036\nAnswer: 20180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1287*p - 18. Determine j(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*s - 8, 0 = 4*z - 3*s - 12 - 0. Suppose 0 = 3*k - 0*k - 15. Suppose 0 = -k*x + 3*x - 3*a + 10, -4*x = -a + 8. Sort x, z, 5.\nAnswer: x, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6*w - 17 + 93 = 0, 5*w = 2*f + 67. Suppose -5*i + 4*k = 234, -225 = 5*i - 0*k + 5*k. Let m = f - i. Do m and -4\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.54146 litres to millilitres.\nAnswer: 66541.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1036 divided by -7016\nAnswer: -259\/1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1296.\nAnswer: 1\/432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/1025345 and 121\/6152070.\nAnswer: 6152070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (62272\/84)\/((-3)\/2). Let j = p + 494. Sort 5, j, 2\/5, 32 in increasing order.\nAnswer: j, 2\/5, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 4, h: 6}. What is prob of sequence huxh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 3. Let v be y(-7). Let o be 21 + ((-16)\/4 - -1). Let z = v - o. Solve -q + 5*q = z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26860, -41816, -56772, -71728, -86684?\nAnswer: -101640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 29. Suppose 3*n - 2*n + 2*m - 16 = 0, 3*m = 4*n - 31. Suppose -4*a = -6*a + n. Put 3, f, a in decreasing order.\nAnswer: a, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(3*(-2)\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1655\/92 + 211\/12. Find the common denominator of g and 8113\/210 + (-399 - -358).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 2*r**3 - 5*r**3)*(r + 0 + 0 + (-6*r + r + 8*r)*(-2 + 3 + 0)).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2360 - 10?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2704, 10803, 24302, 43201?\n\"Answer: 2700*a**2 - a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16 + -8 - 7)\/(((-20)\/(-15))\/(-4)). Sort -1, b, -5, 219.\nAnswer: -5, b, -1, 219","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/34073223?\nAnswer: 5\/34073223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 145\/(-25)*(-35)\/7. What is the highest common factor of 493 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-4 - -4) + 2\/(-25084))?\nAnswer: 2, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/64 + ((-260)\/(-56))\/(44\/154)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < -61\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 7*z**6\/66 - z**5\/110 - 35*z**4\/44 + 38*z**3\/33 - 2*z**2\/11 - 2736*z. Solve l(p) = 0.\nAnswer: -2, 2\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2198144 + 1013\nAnswer: -2197131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 9, 0, 0.05636, -5, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -80.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + (-55 + -6 + 29 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2\/9, -3.\nAnswer: -7, -3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55f (base 16) to base 2.\nAnswer: -10101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 81*y**2 - 3*y + 2. Let u = 15 + -10. Suppose u = 7*q - 2*q. What is the tens digit of f(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -3) + 281 + 0. Suppose -3*k = -5*w + 267, -5*k = -5*w - 17 + t. Calculate the remainder when w is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.66174 nanometers in kilometers?\nAnswer: 0.00000000007566174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Let t = u - -1. Let w = -9\/22 + -1\/11. Which is the smallest value? (a) t (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*r + 219 = 2587. Solve 0 = -r*b - 19*b + 42*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1351 + 1945. Suppose h*w - 588*w = 18. Solve 0 = 8*z + w - 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2280?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - s + 4. Let p = -55 + 57. Let q be d(p). Suppose 0 = -4*h + 330 + q. List the prime factors of h.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8054 = 4*w - 26438, 4*k + 4615 = w. Suppose -25*c - w = -34*c. What are the prime factors of c?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15370 or 15372?\nAnswer: 15372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose -15 = 5*l, 5*m + l - i*l - 29 = 0. Sort 1, -5, m in increasing order.\nAnswer: -5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-4))\/((-1)\/(-4)). Let g = -4.6 - -5. Let h = g + -0.1. What is the second smallest value in -0.5, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*i**2*o**5 - 3581*i**2*o**2 + 93*i**2*o + 3*o**2 - 684*o wrt o?\nAnswer: 340*i**2*o**3 - 7162*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -30*n - 1. Let l(z) = -33*z**2 + 7687*z. Calculate l(i(v)).\nAnswer: -29700*v**2 - 232590*v - 7720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-18)*r)\/(r**12\/r))\/(r**(-1\/11)\/(r\/(r*((((r\/(((((r*r**(-2\/23))\/r)\/r)\/r)\/r))\/r)\/r)\/r)\/r))))**(-15) assuming r is positive.\nAnswer: r**(106245\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 + 10*v - 7. Let a(m) = -m**2 + m. Let j(u) = 3*a(u) - q(u). Let g be j(5). Does 17 divide ((-3)\/6)\/(g\/324)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -60, -67, -74, -81, -88?\n\"Answer: -7*y - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -16*x**3 - 9*x**2 - 2*x + 16. Suppose -13*z + 2*z - 55 = 0. Is u(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/3, 8, -0.399 in decreasing order.\nAnswer: 8, 2\/3, 0.3, -0.399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 772422640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o = -23*o + 4704. Let y(w) = 2*w + 3. Suppose 3*n - 2*h - 29 = 0, n + 2*h = -0*h - 1. Calculate the remainder when o is divided by y(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**5\/20 - f**4 - f**2 - 3*f - 106. What is h(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) -0.11 (c) -0.03 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12 (b) 11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-25))**(2\/55) assuming o is positive.\nAnswer: o**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 42. Let g be c(13). Calculate the remainder when 107 is divided by g - (-11)\/(-4) - 107\/(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*h + 11. Suppose 0 = -4*k + 2*x - 68, k + 62 = -2*k - h*x. Let b = 14 - k. What is the remainder when b is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*q + 3*u, -2*q - 21 = -3*q - 4*u. Let f = 98 + -95.9. Let s = -1.1 + f. What is the closest to s in q, 4, 1\/10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. What is the nearest to -2\/3 in d, -0.1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*f - 35 + 773 = 0. Let s(n) = n**2 - 4*n - 14. Give s(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-1)*3)\/1. Let z be ((-5)\/(-3))\/(1\/v). Let d be z + (-1 + -1 - -2). Calculate the highest common divisor of d and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 5:40 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -1570174546576.6.\nAnswer: -1570174546573.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 112. Let j = u + -44. Suppose 0 = -j*m + 4*r + 6673, -3*m + 9653 - 3008 = 3*r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1357 - -1367.71. Let o = 0.29 + l. Let a = 11.0036 - o. What is a rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9987 - 4622. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3985.\nAnswer: -4\/3985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1552, -3094, -4606, -6076, -7492, -8842, -10114, -11296?\n\"Answer: 2*v**3 + 3*v**2 - 1565*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396125 and 237675?\nAnswer: 1188375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = -22*z + 4*j, 1015*z - 1016*z = 10*j + 43 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -205, -345, -487, -631, -777, -925, -1075?\n\"Answer: -l**2 - 137*l - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.1, -8494270?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1989.6 + -1990. What is the nearest to -2\/7 in -5, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/13))\/(n**(-4)*n) assuming n is positive.\nAnswer: n**(55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 14 = -5*i. Suppose -2*y - 6 = -8*y. Sort -2, i, y in descending order.\nAnswer: y, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p**2 - 2*p - 1. Let t be a(-1). Let h = t + 14. Let m = h + 17. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, n: 1, a: 5}. Give prob of picking 2 k, 1 a, and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)\/u**16)**(1\/29) assuming u is positive.\nAnswer: u**(-25\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*k = -14, -3*n + 14 = -5*k - 15. Determine y so that -16*y + 324*y**3 - 304*y**n + 3*y**5 - 7*y**5 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11628 and 1824.\nAnswer: 93024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*u - 17 = -n, 2*u - 28 = -4*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104994244 + -104994338.999797. Let d = -95 - t. What is d rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 695 - 488. Let g be s\/198 - (1 + 0). Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 0*n + 2*h - 8, -3*n = 3*h - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d - 3*d**2 + (6*d - 3*d - d)*(0 - 2*d + 0) + (3*d + 2*d - 3*d)*(-7621 + 7621 + 96*d))*(-d - d + 3*d).\nAnswer: 185*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (0 - (-21 + -22 + 33))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2922.53 times 0.3?\nAnswer: -876.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*(t**(-13)\/t*t)\/t))\/t)\/t)\/t*t\/(t\/(t*t\/t**12))*t**(5\/4)*t**12 assuming t is positive.\nAnswer: t**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.52605\nAnswer: 0.263025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*v - 325*v + 4*d = -164, -3*v - 4*d + 236 = 0. What is the highest common divisor of v and 1360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -185 - -94. Let p be (z\/2)\/((-2)\/(-4)*1). Let h = 155 + p. What is the remainder when h is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 2049. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(7)*1 + (sqrt(84) + -3*sqrt(84) + sqrt(84))\/sqrt(12) + sqrt(567)\/(sqrt(90)\/sqrt(250)).\nAnswer: 1 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.76 - 1.06. Let n = 163\/305 + 4\/61. Sort -2\/5, -1\/6, n, o in ascending order.\nAnswer: -2\/5, o, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1893*d**4 - 6*d**3 - 601*d**2 + 5*d. Let y(b) = b**3 + 3*b**2 - b. Let c(q) = 6*y(q) + z(q). Find the third derivative of c(u) wrt u.\nAnswer: 45432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 12:46 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6896 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 140260198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 764*t*w - 2473228*t + 10088*w wrt w?\nAnswer: 764*t + 10088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c - 7. Let w(g) = -2*g + 3. Let a(k) = -3*h(k) - 7*w(k). Let q(j) = j + 7. Calculate a(q(l)).\nAnswer: -l - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2 - 6. Let u = b - -1. Let q(r) = u*r**2 - 2 - 6*r**2 + 8 + 2*r**2. What is q(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhm when three letters picked without replacement from cgcmghmh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 8*m**2 - 4*m + 42. Let p be a(7). Is -34 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771891848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 89.1694 weeks?\nAnswer: 14980.4592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*c - 2725 + 2725)*(3*c - 1 + 1).\nAnswer: -132*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 29*r**3 + 0 + 18*r**3.\nAnswer: 47*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -38*l**2 + 239*l + 4. Determine g(7).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, p: 2, y: 1, q: 4, o: 7, v: 1}. Give prob of picking 1 y and 1 v.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 6*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + -5 - -7 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (-1*sqrt(1100)*-5*6)**2 + (-3 + -1*(sqrt(1100) + -1 + 3))**2.\nAnswer: 100*sqrt(11) + 991130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.00974*3\nAnswer: -0.02922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*d = -0*d + 138, 137 = 4*r - d. Let l be (r\/51)\/((-14)\/3). Let c = 1\/3 - 0. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*sqrt(204)\/sqrt(6) + sqrt(34))\/sqrt(2))*-5.\nAnswer: 5 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1644 + 1160. Let n = q + 499. Calculate the highest common divisor of 105 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -31*y - 749. Calculate the remainder when u(-27) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -233, -26 in decreasing order.\nAnswer: 3, -26, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**16\/d)\/(d*d**(-11))*(d*d**(-20)*d)\/((d**21\/d)\/d) assuming d is positive.\nAnswer: d**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58313919?\nAnswer: 3, 67, 290119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -1\/24*n**4 + n**2 + 0*n - 1\/6*n**3 + 0. Let o = -124288 + 124293. Calculate k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -59. Let z(i) = 4*i**2 - 3. Suppose 2*l + 6 = 3*l. Let s(y) = y**2 - 1. Let f(r) = c*z(r) + l*s(r). Let n(w) = -w. Determine f(n(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h**(-18)*h))\/h**(-4))\/(((h*h*h*h*h\/h**(-5))\/h)\/h**(2\/3)))**(-8\/11) assuming h is positive.\nAnswer: h**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -10*g + 14*g. Suppose 17*q = g*q. Solve 5*y = -q*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/75 + -673\/150. Let l = w + 5. What is the second biggest value in 5, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1088) - (-3 + -3*sqrt(1088))) + (sqrt(17)*-2 + 3)*6)*5)**2.\nAnswer: 23000*sqrt(17) + 183225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110232 + 322?\nAnswer: -103310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 46 in decreasing order.\nAnswer: 46, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 7 - (6 - 4). Sort h, -5, -3, -1.\nAnswer: -5, -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265149060 divided by 1518?\nAnswer: 174670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 1, g: 1, k: 8, j: 4}. What is prob of sequence kgy?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -53*x + 90, 3*s + 4 = -3*x + 5*x - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -6609.5142.\nAnswer: 1982.85426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 (base 10) in base 12?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -508510, -507957, -507404?\n\"Answer: 553*x - 509063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i - 18 = -4*x, 12 = 2*i - 3*x. Let a(s) = 2*s**2 + 12*s + 11. Let l(c) = c**2 + 8*c + 6. Let t(h) = 4*a(h) - 7*l(h). Give t(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 9. Let t = -768 + 751. Let v(s) = s + 3. Calculate t*v(d) + 6*a(d).\nAnswer: -5*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b = 6. Let s = b + 8. Differentiate x + 2*x - s - x with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**24\/o)\/o)\/o**(3\/25) assuming o is positive.\nAnswer: o**(547\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12 = -5*j + 65, -j = c - 7. Let q(x) = x - 9. Let p be q(j). Suppose 3*d - 8*d + 30 = p. Let m(l) = -l**2 + 5*l. What is m(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12112211 - -121120?\nAnswer: -11221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8198099cm?\nAnswer: 8198099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*t + 147*t + 105*t + 35*t.\nAnswer: 415*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16894592 and 1319890.\nAnswer: 84472960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 307074.0014 rounded to the nearest ten?\nAnswer: 307070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170810, -341274, -511396, -681176, -850614, -1019710?\nAnswer: -1188464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1.633, 1.3, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, 0.1, -4, -3 in descending order.\nAnswer: 4\/11, 0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - sqrt(24)\/sqrt(4))*5)\/(sqrt(6)\/sqrt(18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 + g**2 - 3*g + 2. Let t be d(2). Suppose 9*q + 15*q - 192 = 0. Suppose 0 = q*b - 9*b + t. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1849.3167 months?\nAnswer: 154.109725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 - 5) + -2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 74 - 34)*(2 + 7 - 2)*(-j + 0*j - 2*j).\nAnswer: 2016*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4288 + -4288.5. Which is the second smallest value? (a) 0.02 (b) m (c) 2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 18. Let j be r(6). Suppose j = 3*a + 2*k - 565, a = -0*k - 4*k + 195. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -295 + 299. Factor -17 + 16*r + 58 - k*r**2 + 7.\nAnswer: -4*(r - 6)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 1180*r + 69620.\nAnswer: 5*(r - 118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 11. Suppose 79 = k + n*r + r, -k + 71 = -4*r. Does 14 divide k*((-4)\/3 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 259651448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-69)\/15 - -5)*20\/28. Let -4\/7*c**2 + 4\/7*c**4 - o*c + 0*c**3 + 0 + 2\/7*c**5 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3*d + 2*d)*(-110*d + 15*d - 100*d).\nAnswer: -195*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822355 is divided by 1085.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*a + 6*j - 5*j, 5*a + 4*j = 33. Sort 1, a, -12, -5 in decreasing order.\nAnswer: a, 1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y**3 + 4*y**2 + 812*y + 9. Let t(v) = -31*v**3 + 15*v**2 + 3260*v + 35. Give 23*h(l) - 6*t(l).\nAnswer: 2*l**3 + 2*l**2 - 884*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262 + 191. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, 7, 56, 105, 154?\n\"Answer: 49*z - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 30 + 15 = 0. Suppose -4*h - o - 2*o + 35 = 0, -o = -2*h + u. Solve 0 = f + 3*f + 12, 4*x - 3 = h*f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -28, 58 in ascending order.\nAnswer: -28, -4\/5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 236, 231, 214, 179, 120, 31, -94, -261?\n\"Answer: -f**3 + 2*f + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 5*b + 5. What is the remainder when g(-4) is divided by 3 + -7 - (-1*26 - 3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3692447495 + 163?\nAnswer: 3692447658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f251b2 + -4?\nAnswer: 1f251ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snisnnjhsi. Give prob of sequence jn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 49063236?\nAnswer: 49063236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -n + 13, 2*n + 4 = -0*i + 4*i. Suppose -2*g = 2*k - 14 - 64, n*g - 153 = -k. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (90\/(-105))\/((-16)\/98)*(-42)\/(-9) and 149\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4730 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 2*y**5 + 29*y**4\/12 + 20*y + 57. Let p(f) be the first derivative of r(f). Find the third derivative of p(m) wrt m.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2. Suppose -31 + 226 = -3*x. Let s = -34 - x. Suppose -6*o = -125 - s. Let j(v) = -4*v**2. What is o*a(n) + 6*j(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2162984187?\nAnswer: 3, 7, 13, 19, 32077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Suppose -2*b = z*l - 3*b, -5*b + 23 = 3*l. Let p be ((-3)\/(-49))\/((-9)\/(-6)). Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5241 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 + -141)*2\/4. Which is smaller: -73 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1089*i**2 + 5444*i + 3. What is b(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 86440*m - 518651. What is n(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5589344 is divided by 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 472.1419?\nAnswer: -472.3419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 144. Suppose o = 4*o + x. Let n = -5 - o. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 0)\/(-4*(-2)\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/19)*v)\/v)\/v*v**(-2\/9)*v*v**(-6\/7)*v**(-3\/5) assuming v is positive.\nAnswer: v**(-4696\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 33012223?\nAnswer: 33012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-8 - 2) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 p when three letters picked without replacement from {p: 4, h: 6, c: 10}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -938519670*v + 525825613 with respect to v.\nAnswer: -938519670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*f - 630, 0 = -3*l + f + 1351 + 534. Let b = 803 + l. What are the prime factors of b?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 174*i - 4002. Let j be x(23). Which is the nearest to -0.436? (a) j (b) 3\/7 (c) -0.3 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 47.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8360.233 hours in nanoseconds?\nAnswer: 30096838800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7942, 7945, 7950, 7957, 7966, 7977?\nAnswer: 7990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 14*s**3 - s**3 - s**2 + s**3 as j*s + q*s**3 + f*s**2 + r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316496 is divided by 12659.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 29988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262 - 38. Suppose t = -45*d + 52*d. Is d less than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 665, 1017, 1389, 1787, 2217?\nAnswer: 2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*d - 39*d + 2*x + 16, x = 2 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2*o**3 - 19434830*i**2*o - 114293*i*o + 167*o**3 wrt i?\nAnswer: -6*o**3 - 38869660*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264286 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = 6. Let d be (9 + (-4)\/i)*3. Let l(t) = -11*t - 165. Let j be l(-16). What is the greatest common divisor of j and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3931 is divided by 197?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7057\/16 or 440?\nAnswer: 7057\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 4*o**2 + 2*o + 8. Give v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -160*u**3 + 2*u**2 - 4*u + 2. Let q be v(1). Let n = 484\/3 + q. Factor 0*p**2 - 2*p + 2\/3*p**3 - n.\nAnswer: 2*(p - 2)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1392*0.1.\nAnswer: -139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227271 is divided by 461.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 - 276840*l**2 - 4772535552*l + 605742592896 = 0 for l.\nAnswer: -34668, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 108*c - 334*c + 30675 = -23*c for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -222468214 - -3?\nAnswer: -222468211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/35 - (-174)\/10)*(-16)\/(464\/(-29))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -11*u**3\/3 - u**2\/2 + 31*u. Is 5 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45435*a + 45427*a - 6*a**3 - 90862*a.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12) - (230\/8)\/(-5). Suppose -n*c = -98 + 86. Determine m, given that 14\/3*m**3 - 16\/9*m**c - 14\/9*m**5 - 4\/9*m**4 + 0 - 8\/9*m = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16898 is divided by 3888.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*f + 224*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 1. Let i(p) = -10*p + 103. Let z(h) = -51*h + 540. Let q(a) = 21*i(a) - 4*z(a). Give -7*d(o) + 2*q(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 - 216*x**4 - 6752*x**3 - 49908*x**2 + 200290*x - 143412 = 0. What is x?\nAnswer: -57, -37, -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*c**5 - 19*c**4 + 6*c**3.\nAnswer: -c**3*(c + 3)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17290641 to the nearest integer?\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 32. Let t be c(-5). Let m = 52 - 89. Are m and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 z when three letters picked without replacement from gdgzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*m, 4*m - 4*n = 2*m - 12. Put -3, 2\/7, 12, m in decreasing order.\nAnswer: 12, m, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - 5*u - 4. Let r(n) = -5*n**2 + 5*n + 4. Let s(h) = 4*o(h) + 5*r(h). Let z be s(6). Let m = 10 - z. Solve -6*a = -2*a + m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 75515891?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 31*n - 138 = -4*a, -n + a = -123. Calculate the greatest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985203 is divided by 3126?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**42)**(20\/3) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2030 + 2025. Let q(n) = -n**3 - n**2 + 2*n. Let t(h) be the first derivative of -h**4\/4 - h**3 + 5*h**2\/2 - h + 1. Give s*q(b) + 2*t(b).\nAnswer: 3*b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 + 3*k**2 - 5*k - 5. Let i(n) = -3*n + 48. Let m be i(16). Let o(u) = u**2 - 1 - u**3 + 68*u + m - 69*u. What is 3*o(p) - q(p)?\nAnswer: -p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -174547917?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*o - 4. Suppose 5*j + 993*v = 996*v + 42, 2*j - 33 = 3*v. Solve 2*w - o = 4*w - 5*c, w - j*c = -16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvmm when four letters picked without replacement from vuvvumvuvmvvlu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - 0.3. Let w = 841 - 841.2. What is the third biggest value in w, b, 0.2, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860.59 nanometers to millimeters.\nAnswer: 0.00086059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -1\/10683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -g + 17, -5*h - 61*g + 66*g + 40 = 0. Solve -f = 4*f + h*y - 45, y = -2*f + 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/d**(-2\/3))\/((((d*d\/d**0*d)\/d)\/d)\/(d\/(d**6*d))) assuming d is positive.\nAnswer: d**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -795 * 7.4483\nAnswer: -5921.3985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h - 2*g - 25 = 49*h, -g - 5 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -1\/2*h**2 + 0*h + 1. Let p(t) = -9*t**2. Determine c(p(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, 2\/15, -0.4, -9, 0.7, 6\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 6*d + 3. Let y be w(6). Let f be (-2)\/y + 1\/(-3). Let x = 1 - f. Solve -7*r - q - 8 = -x*r, 0 = -3*r - 3*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*q + 127*q = -264*q + 1296. Solve -g - 14*h = -12*h - 1, -2*h = -q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10592*c**4 + c**2 - 11226*c**4 + c**2 + (3*c - 4*c + 2*c)*(-2*c**3 + c**3 - c**3) to the form f*c**3 + d + z*c**4 + m*c**2 + i*c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**8\/168 - 2*u**7\/35 - 17*u**6\/30 - 28*u**5\/15 - 13*u**4\/4 - 10*u**3\/3 - 26*u**2 - 2. Factor v(y).\nAnswer: 2*(y - 10)*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2590 and 1813?\nAnswer: 18130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**7\/147 - 11*q**6\/35 - 184*q**5\/35 - 248*q**4\/7 - 384*q**3\/7 - 2*q - 323. What is x in z(x) = 0?\nAnswer: -12, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -z + 5*y, 2 = -z - 2*y - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Factor 16*k**o - 13*k**3 - 9*k + 0*k - 6.\nAnswer: 3*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - -3) + 2 - 0. Calculate the remainder when 70 is divided by (-2 - -2) + (11 - g).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 + 6)\/(1\/5). Let k be (8\/10)\/((-3)\/s). Suppose k*u - 3*u = 3. Solve l - 20 = -u*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11912075 + 11912074.90758951. Let x = k + 0.0924. What is x rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003510401 to five decimal places.\nAnswer: -0.00351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3 = 3*w, 3*h = -w - 7 - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -210721*s + 6321632. Calculate m(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 11:34 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2484.838074 to one dp.\nAnswer: 2484.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*f = -14*f + 40*f + 1287 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v = 27*v + 426 - 30 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3313, -3358, -3419, -3502, -3613, -3758, -3943?\nAnswer: -4174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2881*i + 343*i**2 - 182*i**2 - 126*i**2.\nAnswer: 35*i**2 - 2881*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-14))\/(-5) + (-4080)\/1785?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9685 and -0.007.\nAnswer: -67.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 680*m. Let f(k) = k**2. Calculate s(f(y)).\nAnswer: 680*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 + 3 = 0. Solve -3*j + l*j = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 43 = -67 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -109968, -219932, -329896, -439860?\n\"Answer: -109964*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 285*v**2 + 4600*v + 16500.\nAnswer: 5*(v + 5)*(v + 22)*(v + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -13*n**7\/105 - 3*n**5\/10 + 11*n**2. Find the third derivative of l(h) wrt h.\nAnswer: -624*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 8779\nAnswer: -8779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*g + 17 = -2*g, j = 4*g + 8. Suppose 2 - j = -b. Sort -4, b, 0.\nAnswer: -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/(4\/(-52)). Let h = 15 + p. Suppose 2*i - 4*i - 3*a = 2, -i - h*a = 2. Sort -3, i, 2\/3.\nAnswer: -3, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 299*a + 1194. Calculate g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-3)\/(-76)*(-4)\/(-5). Do 1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 151*f**2 - 3558*f - 238. Calculate s(24).\nAnswer: 1346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25436 - 10293. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6596517 minutes to microseconds.\nAnswer: 39579102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/14)\/((-19)\/16 - -1). Calculate the greatest common divisor of l and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 66*z**2 - 56*z + 863. What is s(-67)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 347 (base 10) to base 11\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 144 = -4*b - 803, 2*b = c - 663. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (82 - (63 + -107))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1567616 and 30452.\nAnswer: 36055168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:41 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 5*y + 5. Let i(b) = -b**3 - 13*b**2 - 12*b + 3. Let m be i(-12). Suppose 2*u + 2*s + 16 = -m*u, -5*u = -s + 22. Calculate a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 5a?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -626662, -626645, -626630, -626617?\n\"Answer: -q**2 + 20*q - 626681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {e: 8, g: 1, u: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(40 + 2366*t - 1109*t - 42).\nAnswer: -5028*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, n: 6, g: 2, i: 3, x: 5, p: 2}. What is prob of sequence npn?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/290500 and -97\/250992?\nAnswer: 31374000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 1. Let s = -16 - -22. Let z be r(s). Let w be (-357)\/33 + (-4)\/22. Is w equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -20*(35\/(-20))\/7 - -2. Let i(o) = o + 22. Let m(l) = l + 11. Calculate k*m(y) - 4*i(y).\nAnswer: 3*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(3528\/(-465)) - (75\/(-4))\/(-25)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*o + 34320 = 81*o. Suppose -1365 = -13*j + o. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpbd when four letters picked without replacement from {v: 6, b: 2, n: 1, p: 1, d: 5}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -2 (b) -5 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 - 1785*v**2 + 17625*v - 43875 = 0. Calculate v.\nAnswer: 5, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1350 divided by 15.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 466.1, -193, 10\/7?\nAnswer: 466.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 482\/2277 - 849941\/2277. Let i = d - -373. Find the common denominator of (-70)\/(-24) + 1\/1 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 - 2*r**2 + 1. Suppose 3 - 6 = 3*c. Let g(x) be the third derivative of -x**6\/120 - x**5\/60 + x**3\/6 - x**2. Give c*y(z) + 2*g(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13375 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 407 (base 8) to base 11\nAnswer: 21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 3*n**2 + n. Let x be g(-3). Let a(v) be the third derivative of -v**4\/8 - 2*v**3\/3 - v**2. Calculate a(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -920, -1159, -1432, -1739, -2080, -2455, -2864?\nAnswer: -3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 114 in descending order.\nAnswer: 114, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 10245 = -16*d. Suppose -p + 1629 = 7*i - 3*i, -3*p = -5*i + d. Is i a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -101177009, -101177010, -101177011, -101177012?\n\"Answer: -f - 101177008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 403956.482 - -367684.51. Let j = 771632.99199998 - z. Let b = -8 - j. Round b to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*l + 20*l**3 - 12*l + l**2 + 11*l + 8 - 10 wrt l?\nAnswer: 120*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**2 - 4*x + 4. What is f(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/11 (b) -1\/16 (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -734.23 + 738. Let o = w + -3.8. What is the fourth biggest value in 0.2, o, 3, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7879 = -3*n, 9*n - 5*n - 10496 = -2*i. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 2 - (8 - 1))\/(-1). Suppose 0 = -5*r + 4*y + 48, -3*r - o*y + 24 = r. Let k be (-2)\/r*2*0\/9. Solve k = -0*g + g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from nloplleoplp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = 8*f + 347. Determine x so that -4*x**3 + 8\/3 + 26\/3*x**2 - 8*x + 2\/3*x**f = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(2*(sqrt(9) + sqrt(144)))*6 + 4 + -5)**2.\nAnswer: -6*sqrt(13)\/5 + 142\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4)\/((-3)\/6). Factor -q + 1\/2*v**2 + 0*v.\nAnswer: (v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**7\/105 + y**5\/30 + y**4\/12 - 25*y**2. Let u(h) be the second derivative of f(h). Find the first derivative of u(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 (base 7) in base 4?\nAnswer: 22213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 274 = j - 124, 3*j - 46 = -s. Solve s*q - 45*q = -28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45\/7*t**2 + 0 + 6\/7*t = 0.\nAnswer: -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -a4b?\nAnswer: a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**3\/11 - 4541684*n**2\/11 + 109001280*n\/11 - 654009408\/11 = 0.\nAnswer: -2270866, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -23*u**2 + 3 + 2*u - 4 - 1. Let w be l(1). Let y = w - -27. Solve 4*q - 3*d = -31, -2*q = -y*d + 6*d - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 - 211 - (-1 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11960542 and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 219752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -25.\nAnswer: 9\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(528))\/sqrt(11))\/(sqrt(200)*1 + sqrt(200)))\/((sqrt(288)\/(sqrt(24)\/sqrt(2)))\/(sqrt(14)\/sqrt(63) + sqrt(2))).\nAnswer: -2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 62.4. Let j = 4.1 + l. Let r be -8*1\/(-4)*-2. Which is the smallest value? (a) 0.1 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3, 63, -31 in increasing order.\nAnswer: -31, 2, 3, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -112, -349, -798, -1501, -2500, -3837, -5554?\n\"Answer: -7*b**3 - 64*b**2 + 4*b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, w: 8}. Give prob of picking 2 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b7 (base 12) to base 6.\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443808 is divided by 24656.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*c**3*n - 2*a**3*c*o + 2*a**3*c + 43*a**2*c*o - 3*a*c**3*o + 3*a*c**3 + 734*c*n*o wrt n?\nAnswer: a**3*c**3 + 734*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*n + 0*n**3 - n**3 - 707*n + 1845*n - 584*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.2, -2, 1.3 in decreasing order.\nAnswer: 1.3, 0.2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33112 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5695 - -21911. Suppose 4476 = 6*d - u. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3314474 = 24*d - 1797526. Round d to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 764*b**3 + b**2 - 2*b - 2. Suppose -8*u = 4 + 4. Let r be l(u). Let q = r - -4559\/6. Calculate the common denominator of q and -33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-10 - ((-28 - -5 - -3) + 11)) - -8\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1589896000 by 2.\nAnswer: 794948000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9484 rounded to 1 decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 845600 divided by 175.\nAnswer: 4832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o, 5*o - o + 12 = -3*n. Let g(i) be the third derivative of i**4\/24 - i**3\/2 + 5*i**2 + 4*i. Let w(v) = -4*v + 10. Calculate n*w(l) - 14*g(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1700) + 0 + 4 + sqrt(1700)*-1*-3)**2.\nAnswer: 320*sqrt(17) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c - 2*c - 2*c - 2*c - c + 2*c + (3 + 2 - 4)*(-c - c + c) - 4 - 2*c + 4 + 9*c + 12 - 8*c - 7 + (3 + 1 - 2)*(5*c - 5*c - 2*c).\nAnswer: -5*c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyoyyyyobyboy. Give prob of picking 1 b and 2 y.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44140, -44146, -44138, -44110, -44056, -43970, -43846?\n\"Answer: g**3 + g**2 - 16*g - 44126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 962185987 by -7.\nAnswer: -137455141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2708505221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.244 and 1251.\nAnswer: 1242.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 3, 1\/4, 402?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-49) + 8 + -13.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212131 (base 4) in base 3?\nAnswer: 22222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - p**2 + 9*p**2 - 7*p**2 to the form h*p**2 + o*p + v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 7.7. Let s = -165011 + 165013. What is the closest to d in s, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0 (c) 857\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-12 - 7 - -9) - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2452 - 2451.7. Which is the closest to 9? (a) 2 (b) q (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 776 + 1092. Let i = 3209 - z. Suppose 0*a - 9*a + i = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8893044?\nAnswer: 2, 3, 67, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20965, 40770, 60575, 80380?\n\"Answer: 19805*y + 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12726*a - 12814*a = 4136 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -126 (c) 1\/2 (d) -3 (e) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66607 + 6885?\nAnswer: -58612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 28, -4, 14, -3 in ascending order.\nAnswer: -86, -4, -3, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + j = -4*j - 23111, -5*z - j = -28896. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 18}. What is prob of sequence sr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2461190205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -23. Suppose 0*x - 3*x = -3*d - b, 3*x + 4*d + 7 = 0. Suppose 4*n - x*n = 4*n. Solve -2*w + 0*a - a + 5 = n, -30 = -w + 5*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30341968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*s**2 - 87*s**2 + 43*s**2)*(99*s - 64*s - 50*s) in the form o*s**2 + l*s + i + v*s**3 and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-325)*(((-48)\/(-20))\/(-4))\/(105\/(-125))\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1763160 divided by 4.\nAnswer: 440790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.781985 plus -36?\nAnswer: -35.218015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 22 + 2 = 0. Suppose 0 = 4*f - 20, 0 = 2*t - 0*t + 2*f. Sort t, -1, b.\nAnswer: t, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8855\/13 + -681. Which is the nearest to 1\/6? (a) 0 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -24815.\nAnswer: -3\/24815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 8, 40 = d - g + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10\/3 - 79\/21. Let p = -150 + 155. Which is greater: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2538 = 4*q - 3*f - 10813, -5*q + f + 16675 = 0. Calculate the lowest common multiple of 16 and q.\nAnswer: 26672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 6*p**2 + p - 4. Suppose 2*v + 5 - 8 = -j, -5*v + 7 = 2*j. Let m be v*-5*(-8)\/(-10). What is the tens digit of z(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnnr when four letters picked without replacement from uujnrununurrur.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 58432 + 245811 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzyyyyzyzaayzyyyzy. What is prob of picking 2 a and 1 z?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggcgcggggggccgggcg. What is prob of picking 3 c and 1 g?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:54 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 3\/17 (c) -1\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 6:03 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 592?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230076000 rounded to the nearest one million?\nAnswer: -2230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5243691+1\nAnswer: 5243692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 23*x - 90 = 0. Let w be x\/((-35)\/(-52)) - 7. Suppose w*a**3 + 3\/7*a**2 + 0 + 0*a = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 4*z)*(14 - 6 - 5)*(-9 + 11 - 1).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47177401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3)*h**(-2\/23))**(-7) assuming h is positive.\nAnswer: h**(336\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.0316, 3.12 in increasing order.\nAnswer: -4\/5, -0.0316, 3.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68869074*p**3 - 61452143?\nAnswer: -206607222*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.48 not equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(117)*-3*6 + ((sqrt(117) + 2 + sqrt(117) + 1)*1)**2).\nAnswer: -72*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0*v**3 - 4*v**2 + 0*v**4 - 1\/15*v**5 + 0*v + 0. Let w(p) = -7*p - 3 + 16*p + 3. Give w(u(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 2*k**2 + 11. Let x(h) = 2*h**3 + 5*h**2 - 22. Give 5*w(m) + 2*x(m).\nAnswer: -m**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in -0.3, -25, 3\/7, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqp when three letters picked without replacement from {p: 11, q: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*k**4 - 2823*g*k**3 - 27*g*k**2 + g*k + 174*k**3 + 5*k**2 - 9085*k - 5 wrt k.\nAnswer: 72*g*k - 16938*g + 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 889\/24 + -36. Find the common denominator of 7\/30 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*x**3 + 2*x**3 + 9*x**3 + 11*x**3 + 23*x**2 - 108*x**2 to the form q*x + b*x**3 + h + i*x**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**4*o\/(o*o**(2\/13))*(o*o*o\/(o*o\/(o**6\/o)))\/o**(7\/5) assuming o is positive.\nAnswer: o**(159\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -115973 and 0.22.\nAnswer: -115972.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 10*g + 15. Let w be (-1 - -13)\/(1 + 0). Let l = -22 + w. What is the tens digit of z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55\/4 of a kilogram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186\/5 + -37. Let w = 2211\/2 + -1104. Which is the nearest to -0.4? (a) s (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**10)**(3\/8) assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*1*(40\/8 - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(165)\/sqrt(5))\/(sqrt(66)\/(-1*sqrt(6))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -4. Let w(g) = g**2 + g. Let m(i) = 152*i + 148*i - 457*i + 155*i. Calculate h*w(k) - 2*m(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 34*k + 74. What is the units digit of q(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 1. Suppose 0 = 8*x + 44 - 76. Calculate v(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59390, -0.34, 3, 0.1 in increasing order.\nAnswer: -59390, -0.34, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-4)\/o*(o*(o\/(o*o\/(o*o**(-3\/5)))*o)\/o*o*o)\/o)**(9\/4)\/((o\/(o*o*o*o*o*(o**(2\/5)\/o*o)\/o*o))\/(o\/(o\/(o**(-3\/2)*o))))**(4\/7) assuming o is positive.\nAnswer: o**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -3*o - 2*s, -1384*o - 130 = -1389*o - 6*s + s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 377 = 3*y, 4*y + 2*a + 505 = 5*a. Let r = -104 - y. Calculate the remainder when 39 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 289*y - 1716.\nAnswer: -(y + 6)*(y + 572)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u + 35171 = 11651. Let n = u + -562. Which is smaller: -9\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4909, 9767, 14615, 19453, 24281, 29099, 33907?\nAnswer: 38705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7263312 and 2576?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r**3 + 2*r**2 - 8*r + 13. Determine t(2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v - 20. Suppose -4*z = n + 195, -3*z + v*n = z + 180. Let g be (-4)\/5 + (-249)\/1245. Which is bigger: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 553 = 6*l. Let u = l + 106. What is the highest common divisor of 175 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3353748998.85 and 0.09.\nAnswer: 3353748998.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**2 + 4*q**2 - 10*q**2 - 2557*q - 1 + 2555*q - 65*q**3 to t*q + i*q**3 + d + r*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 63 - 24 = 40*t - 35*t, -165 = 5*t - 10*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6185881*s**6 - 55*s**2 - 61408*s wrt s.\nAnswer: 742305720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-4))\/((-66)\/(-11) - 11)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65811 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132432302 (base 5) in base 6?\nAnswer: 22214132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -1.74?\nAnswer: -29.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*q + 2 = -5*q, 24 = 5*u - 2*q. Suppose 0*b + 5*b + u*y = -5, -y = 5. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -2 - (-33 - (30 + -38)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 150\/(-35) + 4\/14. Is 3951\/15 - q\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t*t\/(t\/t**(-7)))\/t))\/t**(2\/15))**(-29) assuming t is positive.\nAnswer: t**(-2987\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246216849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41323\/8 + -5172. Let p = 16585 - 232299\/14. Calculate the common denominator of p and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 126 + 644 = 0. What is the remainder when 1096 is divided by b?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**4\/24 - 11*z**3\/6 + 29*z**2 - 43*z. Let r(y) be the first derivative of f(y). Let v(a) = -6. What is 3*r(h) - 5*v(h)?\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 6*n + 2. Let r be h(-6). Let g(z) = z**2 - 2*z**r + 0*z**2. Let m(q) = 2*q + 0*q - 4*q. Give g(m(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 divided by -4303.\nAnswer: -111\/4303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234\/5*h + 18\/5*h**3 - 4\/5*h**4 + 16 + 28*h**2 = 0. Calculate h.\nAnswer: -5, 1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 5, e: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 + -154.02. What is the third smallest value in x, -2\/15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(245) + (sqrt(245) + 2)**2 + -2 + 0)*-4 + -4 + 5.\nAnswer: -986 - 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrtrrrrrt?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2328*t**2 + 2951*t**2 - 1261*t**2.\nAnswer: 4018*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2579521 and 81577?\nAnswer: 2813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 47036*r + 2714632.\nAnswer: 4*(r - 11701)*(r - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*f + 2*g + 3 = -594*f, -9*f - 47 = -2*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4561 - -18245\/4. Which is the third smallest value? (a) s (b) 0.4 (c) 2 (d) 6 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73.5 + 51. Let r = -22 - s. Let w be (-1 - 6)\/(-1) + (-5)\/1. Sort w, -0.1, r, 12 in descending order.\nAnswer: 12, w, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/15184000 and 69\/1460000?\nAnswer: 75920000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20 + 1 + (-1 - -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.5403 years in centuries?\nAnswer: 5.975403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7.82 * 374\nAnswer: 2924.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**4 + 30*v**3 - 415*v**2 + 600*v + 1040 = 0.\nAnswer: -13, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from xykyyxyyxxy.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 7 + -8 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w - 14. Let j be 6\/8*-4 - 32808\/(-8). Suppose -7*g = -w*g - j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -16. Calculate the smallest common multiple of 6 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1732558555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 570369 - 0.6.\nAnswer: 570368.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112112011 + -1?\nAnswer: -112112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsjs when four letters picked without replacement from jzssjdsjujussbu.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8652 - 0.1348. Let z = -4.7 + -0.3. Which is the closest to 0? (a) -1 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349863313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10076 + 11212. What is the highest common factor of 32 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - ((-319)\/9)\/11) + 47\/(-9). Let h(o) = -2*o + 4. Let b(k) = 4*k - 9. Suppose 2 - 10 = t. Let w be (-9)\/(-6)*t\/6. Give s*h(y) + w*b(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**26)\/(r\/r**(-1\/12)) assuming r is positive.\nAnswer: r**(311\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-1) - 4) + -2. Let p = l + 4. Let v(a) = -a**2 + a + 7. Is 5 a factor of v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-152)*(-44)\/440.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {c: 3, k: 7, j: 1, x: 6}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5\/89 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 10 + 5. Let q be 5 + 1 + m + 127. Suppose q = -17*w + 22*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2144307*x + 0 - 2143620*x - 2 in the form i + u*x and give u.\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2040\/(-90))\/(24\/(-162)) is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {a: 2, b: 1, o: 2, s: 1, r: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4608577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2187 = -611*p + 2701 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040 = 227*q - 211*q. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/6 + 20*j**3\/3 + 133*j**2\/3 + 68*j - 1920. Suppose w(s) = 0. Calculate s.\nAnswer: -3, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24820927 and 604?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51\/(-12) - 90\/120. Which is the third smallest value? (a) j (b) -13 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 7*y**2 + 6*y.\nAnswer: -y*(y - 2)*(5*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 93.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 363792\nAnswer: -2\/22737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 60*k**3 - 2*k + k + 1897 - 61*k**3.\nAnswer: -k**3 - k + 1897","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8340110 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 97.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = -3*v - 4*r, v + 3*v + r + 433 = 0. Let p = v - -159. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 55*i - 1554 + 414 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {u: 12, i: 2, n: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40039.2 - 40040. Let r = 0.3 + -0.1. Which is the nearest to 0? (a) 4 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-181)\/(-18))\/((-3)\/(-30)). Let b = -101 + o. Let r = -192\/67 + 5614\/603. What is the common denominator of b and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**5*v - 2*a**4 - 11*a**3*v + 81*a**2*v + 2*v wrt a.\nAnswer: -420*a**2*v - 48*a - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/35*-14*(-2)\/(-104). Which is smaller: -10 or x?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 1. Let r(c) = -4*c**3 + 2*c - 3. Determine -4*d(k) + r(k).\nAnswer: -8*k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2732 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*(-5)\/(125\/(-20)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 8. Let j be a(-6). Solve -j + 0 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, q: 4, s: 3}. What is prob of sequence sv?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34054.9m to nanometers.\nAnswer: 34054900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p + p. Let w = -9 + 7. Let r = w + 10. Calculate the smallest common multiple of r and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 + (261\/145)\/(4\/((-120)\/(-9))). What is the third smallest value in 14, n, 1\/3, -5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547 greater than or equal to 889045\/349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k**2 + 6*k**2 + 0*k**2)*(2 + 1 + 0).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 1, k: 1, b: 1, i: 2, y: 2}. What is prob of picking 1 i and 1 b?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**3 + 5*u**2 - 3*u. Let y(v) = -4*v**2 + 4634 + 3*v - 4634 + 6*v**3. What is -4*g(q) - 5*y(q)?\nAnswer: -2*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2) + 2 - (-2188 + 2123)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*v + 21 = 87, 0 = -b - 4*v + 37. Let z = -18 + b. What is the remainder when 21 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5083573 millennia?\nAnswer: 508.3573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*w - 449 = 0, -429 = x + x - w. Let k = x + 370. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -234, -2067, 4 in descending order.\nAnswer: 4, -234, -2067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.4, -1\/3, -4.4, -0.2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1168650 - 1168650 + 10957*o in the form n*o + l and give n.\nAnswer: 10957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21977 + -22014. Which is the nearest to -3? (a) g (b) 1 (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 21. What is t(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(304) - (sqrt(304) + -1)*-4)**2 - sqrt(304)) + 0).\nAnswer: -7616 + 164*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-17)*i*i)\/i)\/i)\/i*i**(3\/14)*i*i assuming i is positive.\nAnswer: i**(-207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3, 3*n = -2*u - u + 6. Suppose -3*s + 11 + u = 0. Let 0 + 1\/5*o**s + 0*o**3 - 1\/5*o**2 + 0*o = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Let r = c - -12. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 351971131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -19*u**8\/56 - 11*u**4\/12 - 26*u. What is the third derivative of y(l) wrt l?\nAnswer: -2280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109028?\nAnswer: 2, 97, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 12. Let l be 0 - 0\/(-1) - -8. Let q = l + c. Solve -x = -u + q*x, -2*x = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3388 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r - 10, -3*h = -3*r - 42. Let y = -3 + 6. Suppose -3*a + 3*x + 6 = 0, -y*x - h - 1 = -4*a. What is the remainder when 20 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (49\/21 - -6)\/(2\/6) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800)*-3 - sqrt(1800)) + sqrt(144)\/(sqrt(8) + (sqrt(80)\/sqrt(10) - sqrt(8))))\/((sqrt(648)*-2)\/sqrt(800)).\nAnswer: 65*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p - 4. Calculate the least common multiple of (18\/(-8))\/(p\/8) and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -q, -5*q = 2*t - 272 - 146. What is the lowest common multiple of 1176 and t?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 2)*(-5*x + 4*x - 3*x)*(5 - 3 - 1) as b*x + k and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(2 + 7 - 4)*(-2 + 2 - u)*(5 + 14 - 3).\nAnswer: 160*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + ((-2)\/1 - -1). Suppose -v*s - s = 0. Let r be (-42)\/(-11) + 4\/22. Solve -2*p + 4*p - 18 = 4*m, 4*m + r*p + 24 = s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ab8494 (base 12) to base 2.\nAnswer: -100001001100101110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -857 + 856. Let q = -0.2 - -0.2. Put q, w, -4 in ascending order.\nAnswer: -4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k**3 - 420*k**3 + 366*k**3.\nAnswer: -27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -89920.\nAnswer: -89920, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**42*p))\/(p*(p\/(p*p\/(p**(-6\/11)\/p)))\/p*p*p)*(p\/((p*p**(-25)\/p)\/p))\/(p**36*p*p) assuming p is positive.\nAnswer: p**(-588\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 8*z - 11. Let m be g(5). Let y = -63573 - -445014\/7. Factor 3\/7*s**m + 0 + y*s**5 - 3\/7*s**3 - 3\/7*s**2 + 0*s.\nAnswer: 3*s**2*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.4, -5, -9, -0.01.\nAnswer: -9, -5, -4, -0.01, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - x - 248. Let h = -46 + x. Let g = h - 52. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 c when four letters picked without replacement from ppxivcvc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 285\/(-76)*(-384)\/(-72).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4008522507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2279 or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -799480981, -799480982, -799480983?\nAnswer: -799480984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 4 (c) 0.6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 31817 = 4*l, -5*l - 10*a + 39731 = -12*a. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:58 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = k + 407, -5*w + 217 = -3*w - 5*k. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/30 in -0.0002, -0.4, -69?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 4*m**2 - 2. Let y(u) = -u + 1. Let c(s) = b(s) + 4*y(s). Give c(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**4\/2 + 219630*r**3 - 16078233753*r**2\/2 - 32159322756*r - 24119986248 = 0?\nAnswer: -3, -1, 73212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24497\/549 - 431\/61. Solve -2\/9*f**3 + 50\/9*f**2 - h - 286\/9*f = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58821342857129791 + 58821346059529527.9999909. Let b = y + -3202399541. Let s = 196 - b. Round s to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -36*r**3 - 21*r. Let p(u) = 7*u**3 + 4*u. Suppose 171 = 10*m - 11*m. Let n = -175 - m. Determine n*y(b) - 21*p(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674620840.\nAnswer: 2, 5, 41865521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*o + 10, -4*h - 10 = -o - h. Suppose 6 + 10 = o*w. Solve 6*l - w*l + 2*j = -18, 8 = -2*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t**2 - 8*t - 6. Let k(n) = 13*n**2 - 8*n - 5. Let a(p) = -6*k(p) + 5*q(p). What is the second derivative of a(m) wrt m?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 5*z - 3. Let y be w(5). Let f be ((-21)\/236677)\/(y\/2). Let j = 3482553\/338110 - f. What is the common denominator of 89\/12 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 21 - -7 - (2 + -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70271715*n - 70271723*n = -280 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:25 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - 25*d**3 + 48*d**3 - 26*d**3 + 178*d**2 + (-d + 4 - 4)*(-3*d**3 - d**3 + 3*d**3).\nAnswer: 3*d**4 - 3*d**3 + 178*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 9*o - 85. Does 9 divide 2\/6 + -7 + 325\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6754.095 * -4.\nAnswer: 27016.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = v + 27. Let s = 106 + v. What is the greatest common divisor of s and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 2*r**3 - 7*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjpqqqpcqdp. Give prob of picking 1 q, 1 d, and 1 j.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 + 220 = 13*x. What is the greatest common factor of x and 2150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243775048 divided by 44?\nAnswer: -5540342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + 11 - 7 - 44420*i + 44406*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*0\/(-6)*(-1)\/2. Solve 0 = -2*x - r*c - 4*c + 10, -3*x - 2*c - 1 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43012132 (base 5) to base 7.\nAnswer: 3030262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 1420*r - 457*r - 963*r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 12. Let u(y) = -y - 6. Let n(t) = -5*u(t) - 2*v(t). Find the first derivative of n(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/((1\/2)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 15*h**2 - 15*h - 8. Give q(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.1 - 8. Suppose 4*f - 4 = 8. Suppose 5*g - f*g = -8. What is the nearest to k in 4, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -15. Let b be (-4 - 56\/(-12))\/(4\/(-18)). What is the smallest value in 4, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85428 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -38) + -18 + -12 + 15.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.075782105 + -73.924236395. Let z = -74 - p. Round z to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*u + 3385 + 1236 - 197 = 25*u for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.469 - 6?\nAnswer: -27.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhh when three letters picked without replacement from xxhxhhhhhxxxxxhhxhxx.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*p**2 - 12*p + 12*p + 31*p**2 in the form l + o*p + j*p**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*m - 61, -5*c - 58 = -m + 5*m. Let x be (-5 + (-14)\/(-4))*52\/6. Is x greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(3*j**5 + 4*j**5 - 3*j**5) + (-3*j**4 + 6*j**4 + 2*j**4)*(4*j - 2*j - 3*j).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.6846 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/3)\/(-14)*36\/16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 4*p**3 - p**2 + 0*p**2 + 6*p**3 - 1. Let o be s(1). Solve -o*t + 6 = 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17804919*w + 37827060.\nAnswer: -17804919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 12 = 5*f, 95*f + 2*u = 98*f - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**2 - 4*d - 9. Let j(s) = 9*s**2 - 6*s - 14. Calculate -5*j(z) + 8*m(z).\nAnswer: 3*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -383*b + 402*b. Solve -5*i + 27*j - 20 = 25*j, i - j + b = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 3*o + 1. Let d be w(-4). Suppose g + 2*g + 66 = 0. Let l be (-6)\/2 - g - 3. Solve 5*f - l = 4*k, -4*k - d = -2*f - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17721402*v**3 - 14*v**2 - 4039916*v + 1 wrt v.\nAnswer: 106328412*v - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50\/37 - 2601\/74. Let k be 2\/(-5) + (-66)\/(-15). What is the common denominator of r and k\/(56\/(-37)) + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215983174 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q - 39*q - 299 = -4*t, 5*q + 2*t - 517 = 0. Let r be 882\/q - ((-8)\/(-5))\/4. Solve 40 = -0*y - r*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/85 and -107\/940.\nAnswer: 15980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*m**2 - 88*m**2 - 82*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:13 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + -5. Let l(i) = -i**2 - 6*i - 7. Let a be l(-5). Let q be 8*3\/y*a. Solve -2*g - q*g - 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -12 - 60. Let k be ((-30)\/8 + 4)\/(27\/i). Which is the smallest value? (a) 0.1 (b) 2 (c) -4\/9 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -20)\/((-1)\/2). Suppose -q = -2*g - l, -g = 5*q - 2*g - 133. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + -1.2. Which is the closest to g? (a) 0.3 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-3 + 6 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11713617?\nAnswer: 3, 509, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48602*l - 48602*l - 40820*l**2 to the form h + t*l**2 + u*l and give t.\nAnswer: -40820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59 (b) 7 (c) 5356\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -77 (b) 156 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2 (c) 5\/3 (d) 0.1303029 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 7 = -o - 2*y, 2*o - 2*y - 88 = 0. Suppose r = -2*r + o. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13857 (base 9) to base 4\nAnswer: -2103220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 838831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 12. Let i be z(-5). Let d be (8 - (2 + i)) + 6. Round d to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51815 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:56 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 12) to base 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 49251.357 minutes?\nAnswer: 34.20233125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 5, 132?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 17*w - 4*w**2 + 0*w**2 + 2*w**2 - 28. Let h be b(15). Solve 3*q - 3 = 2*x + 5, x + 5 = h*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2896 and 8869?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686*s - 41 = -727*s. Which is the fourth biggest value? (a) s (b) -3\/5 (c) 7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8055 and 119035.\nAnswer: 1071315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 5*v - 10. Let t be m(-7). Let o(d) be the first derivative of -1 + 8\/15*d**3 + 8\/25*d**5 - 1\/15*d**6 - 1\/5*d**2 - 3\/5*d**t + 0*d. Factor o(b).\nAnswer: -2*b*(b - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 646\/7 or 81813?\nAnswer: 646\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -186 + -1 + (-1884 - -1946)\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -355, -363, -373, -385, -399, -415, -433?\n\"Answer: -o**2 - 5*o - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2239*h**3*p**2 + 2*h**2*p**2 + 925*h**2*p - h*p**2 wrt h?\nAnswer: 13434*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2646, -2 in decreasing order.\nAnswer: 2646, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 15.14. Let u = -4 + 3.96. Let t = p - u. Which is the second biggest value? (a) 0.2 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34368 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1523431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z - z - 24*z. What is the remainder when f(-1) is divided by 9\/3 - (-4 - 1)*3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 b, and 1 d when four letters picked without replacement from {a: 4, d: 7, b: 5}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**2\/2 - h - 1. Let p be v(-2). Solve 2*x + 2*s - p = -3, -2*x = s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + 116. What is the greatest common factor of q and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 40500?\nAnswer: 40503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/99, -0.5, -35, 0 in decreasing order.\nAnswer: 3, 2\/99, 0, -0.5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85142, -170280, -255418, -340556, -425694?\nAnswer: -510832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160.8 + 156.618. Let u = -4.08 - x. Round u to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816034*o - 217470 = 819329*o for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*w - 40 = 0, y + 84 - 79 = -2*w. Let d(z) = -z**3 - 8*z**2 - 9*z + 9. Give d(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(28\/(-6) + 2). Let s be (-23 + -1)\/(4\/n). Suppose u + u = 0, -2*z + 4*u = -s. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 4. Let j be d(4). Solve -2*z + 3*f - 1 = 0, -4*z + 3 = f - j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {f: 3, v: 4, j: 5, m: 1}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 11 + -2)\/(1\/(-3)). Let y(k) = -87*k + 35. Is y(o) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u + 1295 = -i, -2*i + 2325*u + 54 = 2330*u - 130 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-1)*(-2)\/(-4). Factor 2*p**3 + o*p**2 + 2*p - 2 - 5*p**3 + p**3.\nAnswer: -2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10246 + 553307\/54. What is the common denominator of 29\/108 and x?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 830*r**2 + 411*r**2 - 10 + 252*r**2 to the form d*r + y + a*r**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 0, 0 = w + 2*o + 14 + 772. Let t = w - -1141. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(165\/44))\/(((-8)\/36)\/1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 61*r - 17. Let p(a) = 15*a - 4. Give 9*p(y) - 2*u(y).\nAnswer: 13*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:02 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 + 111*i**2\/5 + 159*i - 903\/5.\nAnswer: -3*(i - 43)*(i - 1)*(i + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -276*t**2*x + 15*t**2 + 3*t*x + 94*t - 19128*x + 18376 with respect to t.\nAnswer: -552*t*x + 30*t + 3*x + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - b = 4*b + 10, -5*b - 30 = -y. Suppose 2*v = -3*v - 150. Let o = 55 + v. Calculate the greatest common factor of o and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 7*x + 9. Let r be i(6). Calculate the lowest common multiple of 6\/11 + 246\/33 and r*((-15)\/(-9) - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163997 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*u - s - 2 = 2, -s = 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Suppose 2*x = 4*o + 16 + 6, -5*o = -d*x + 25. Sort -5, x, -1 in increasing order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g**4 - 363687 + 363685 - 4*g - 4*g**2 + 15*g**2 to the form s*g**2 + i*g**3 + r*g**4 + z + q*g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 3:09 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -11*w + 27 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**4 - 2414*h**3 + 76292*h**2.\nAnswer: -192*h - 14484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -21*g**2 - 371*g - 20. What is l(-19)?\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -84*b**2 + 2*b. Let f(r) = -2*r. What is f(g(i))?\nAnswer: 168*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18795 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -480. Suppose b = -5*j + f + 13, -4*b - 22 = -j. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = g - 19, -82*g + 81*g + 3*a + 15 = 0. Sort 0, 19, g.\nAnswer: 0, g, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from erjnrnenejjrorp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6364904 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 13 - 32)*(0*o - o + 2*o).\nAnswer: -102*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-40)*-4 + 0)*(88\/4 + 44)\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2. Let g(a) = 541351*a. Determine g(r(t)).\nAnswer: 1624053*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -400*j**2 - 108*j**2 + 9 + 2 - 6 - 1352*j**2 - 40*j wrt j?\nAnswer: -3720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) - (1*(sqrt(96)*3 - sqrt(96)) + sqrt(96)) - -3*(-3*sqrt(96) - sqrt(96)))\/((sqrt(972) - sqrt(972)*-1*5)*-4).\nAnswer: 7*sqrt(2)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = 2*s + 6, 5*o - 856 + 850 = 2*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 28204 = -5*t + 3*t, 5*t - 3*g + 70497 = 0. What is t rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 3. Let q(x) = 4*x - 3. Let c be q(2). Suppose 3*l - 12 = 3, c*l = -3*k + 37. Suppose -2 + 1 = o + k*v, -2*v = 5*o - 13. Calculate r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 6*q**2 - 8*q - 2. What is r(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -0.3, 3, -6, 9, 20\/7, 2 in descending order.\nAnswer: 33, 9, 3, 20\/7, 2, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (10 + -10 - (53 + (-12 - -9))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/19382301?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -30*j - 9. Let l(n) = -15*n - 5. Give 5*l(q) - 3*z(q).\nAnswer: 15*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 4*u + 6. Solve u*s + 4*n = 18, -3*s = 5*n - 13 - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 9.5. Let v = o + -14. Which is the second smallest value? (a) v (b) -1\/6 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2 + 73050*j - 6753 - 36596*j - 36544*j wrt j?\nAnswer: -2*j - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54316, -1, 47, 2 in decreasing order.\nAnswer: 54316, 47, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 8*b = 61248. Suppose -2*f = -5*i - b, 5*f - f - 11152 = 2*i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*n - 51*n - 20. Solve -w + 9 = 2*h, -3*h + n - 6 = w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*x + 95 = -3*x, n - 5 = 5*x. Suppose -3*d + 0*d + n = 0. Calculate the common denominator of 31\/8 and 11\/d - 4\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*l = -0*j + 4, j - 2*l - 12 = 0. Solve j*z + 45 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-2)*(10 - 2). Let c = o - -68. Suppose -2*q = -2*s - 26, 0 = -q - 0*s - s + 11. What is the greatest common factor of q and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 26*h. Suppose -3*b - 14 = -5*s, 0 = 3*s - b - 10 - 0. Let v(g) = 4*g + 2*g - 6*g - s*g**2. Give v(o(a)).\nAnswer: -2704*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41807 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + h)*(-13*h + 7*h + 35*h)*(0*h**3 - 4*h**3 + 3*h**3).\nAnswer: -29*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29129490 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 1\/4, 1, -2\/19, -0.5, -14.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -o, 5*z + 4*o = 2*o + 37. Let k = 4 - -5. Calculate the greatest common factor of z and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000000201861 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - m**3 + 3)*(-2 - 16 + 2)*(-38 - 36 + 65).\nAnswer: -144*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnngabaaaaa. What is prob of picking 2 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1640 and 115\/2296.\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1584) + (0 + sqrt(1584))*-3 + 4.\nAnswer: -24*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 204, 14, -332, -840, -1516, -2366, -3396?\n\"Answer: -n**3 - 72*n**2 + 33*n + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 118, 250, 382, 514?\n\"Answer: 132*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**3 - 3*s**2 + 2. Determine c(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*a**2 - 294 + 149 + 145.\nAnswer: -187*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a + 2. Let y(h) = -441*h - 81. Let x(t) = -81*v(t) - 2*y(t). Let n(u) = -4*u**2. What is n(x(d))?\nAnswer: -324*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 115655726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9402567386789 and 0.4.\nAnswer: -9402567386788.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.07371?\nAnswer: 0.29484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) - 2\/(-72). Suppose 7*s - 100 = 12. Let f be ((-364)\/65 - -6)\/(s\/(-10)). What is the closest to -2 in f, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 12:37 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.1 + 44.104. Let h = 0.004 - q. Which is the nearest to h? (a) 1\/2 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 3*v - 2. Let n be b(2). Suppose 2*y + 5 - 19 = n. Suppose 18 = 3*p - 45. Calculate the highest common divisor of y and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 7\/(-1) + 6. Let h = t - 0. What is the second derivative of -3 + 16*p - 13*p**h - 12*p + 3 wrt p?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -1. Suppose 3 = u - s + 6, -o*u + 3*s = 5. Let y(z) be the first derivative of -z**2 - 5*z + 1. What is y(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z**4 - 37280*z**3 - 2822586*z**2\/7 - 2275596*z\/7 - 477360\/7 = 0 for z.\nAnswer: -2652, -10, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5795411, -11590820, -17386229, -23181638?\n\"Answer: -5795409*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 379727367 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 150991, 301978, 452965, 603952, 754939?\n\"Answer: 150987*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(29\/4)\/((k**(-1)\/k)\/k)**(-11\/3) assuming k is positive.\nAnswer: k**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 87 = 3*z, -51 - 3 = -2*z + 3*c. Suppose -2*n = -n - 4*k - 94, -5*n - 4*k = -494. What is the remainder when n is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 97*i. Let u(r) = r. Give u(o(y)).\nAnswer: 97*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 11508, 36.1, 2\/13?\nAnswer: 11508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 2*f**2 - 2*f - 3. Let m(q) be the third derivative of q**6\/120 + q**5\/20 + q**4\/8 + q**3\/3 + q**2 - 741*q. What is 2*m(b) + 3*v(b)?\nAnswer: -b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2132 + -3926. What is the hundreds digit of -5 + 1 - (m - -15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o + 13. Let f(b) = 15*b + 24. Let p(q) = 4*f(q) - 7*y(q). Let h be 2\/5 + 39\/15. What is the remainder when 65 is divided by p(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 + (-8 - -1) + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -39. Suppose -2*x + 3*x + v*i + 12 = 0, -3*x + i = -16. What is the units digit of (5 - (-16)\/(-4))*x*22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 8*p - 2*p. Suppose p = 3*z + 2*z. Let j(r) = -r**3 + 6*r**2 + 6*r - 1. Calculate j(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 1128 - 372 = 0. What is the hundreds digit of 1422 + (540\/g - 4\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4262 (base 8) to base 5\nAnswer: -32401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11010010011100101111011 (base 2) to base 10\nAnswer: 6895995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + -0.41. What is the closest to 2\/13 in -3, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 - 9)*(-5 + 3 + 1)*(10*q - 62 + 62)*(1 - 4 + 5).\nAnswer: 380*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 82 + 1\/(2\/(-2)). Let u be 12\/(-16)*m*-8. Let d = u + -232. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.924073812 to 3 decimal places.\nAnswer: 1.924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 61*m**5\/90 - 185*m**4\/54 - 238*m**3\/27 + 8*m**2\/9 + 14*m - 73. Factor d(p).\nAnswer: 2*(p - 4)*(p + 1)*(61*p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -9. Suppose g - 2 - 3 = 0. Let f be (-5)\/2*g\/(-10). Sort f, 0.1, o in increasing order.\nAnswer: 0.1, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -b + 28, 3*b + 2*u + 380 = 399 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0287 - 2419.659854\nAnswer: -2419.688554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 28. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4422?\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 48. Give h(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 - 4*r**2 + 12*r + 8. Let i(w) = 4*w**3 + 3*w**2 - 11*w - 10. Let x(v) = 4*i(v) + 5*o(v). Solve x(q) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5 + 172005*k**4 - 1479715935*k**3 + 7394795995*k**2 - 4435020240*k - 13309704180 = 0. Calculate k.\nAnswer: -1, 3, 17198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 + 34*x**2 - 4*x. Let t(s) = -2*s**3 - 34*s**2 + 3*s. What is 4*t(a) + 3*v(a)?\nAnswer: -2*a**3 - 34*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 225 = 0. What is the least common multiple of j and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -151\nAnswer: -45.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007553969 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66.16 - 0.16. Let o = k - 66.0134. Round o to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/((-2)\/291). Suppose 5*v + x - 17 = 0. Let w be (-66)\/(-14) - v\/56. Solve t = w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366111.\nAnswer: 3, 19, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7714.957 - -7702. Let m = -72 + 84.9. Let k = r + m. Round k to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -1.2 (b) -2\/7 (c) 0.4 (d) 3\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/8)\/((-12)\/16). Let l be (1 - -1)*(-1)\/j. Suppose l = -2*m - 5. Which is the nearest to -1? (a) -4 (b) -2\/17 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40531691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/4))**(-24)\/(b\/b**(-2\/3))**(2\/63))**(7\/9) assuming b is positive.\nAnswer: b**(-3412\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 4:29 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226847, 907375, 2041593, 3629501, 5671099, 8166387?\nAnswer: 11115365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*a + 561*a - 100*a - 151*a.\nAnswer: 158*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115.26 + -115. Let m = 0.37 - u. What is the third smallest value in -3, -1\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. What is the remainder when 14 is divided by 2 + 5 + 3\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -863833*c**3*k**2 + 2*c**3*k + 849472*c**2*k - 2*k**2 wrt k.\nAnswer: -1727666*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 218928847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*y)*(4*y + 0*y - 5*y) + (6*y + 0*y - 4*y)*(-1 + 4*y + 1).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 + -1.2. What is the nearest to 1\/3 in 5\/4, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4013225 (base 6) to base 8\nAnswer: 560361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204252416, -204252414, -204252412, -204252410, -204252408, -204252406?\nAnswer: -204252404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92 - 44*p + 3*p**2 - 62 + 64*p - 4*p**2 - 31*p to f*p + c*p**2 + j and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621327 (base 11) in base 13?\nAnswer: c2c861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 306*v + 347. What is the remainder when 1679 is divided by p(-1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -252, -273, -312, -375?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 4. Suppose 7*k + 35 = 7. Let i(a) = -a**2 + 4. What is k*x(g) - 5*i(g)?\nAnswer: g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6640 = 7*w - 24105. Suppose -n = 0, f - 3*n + 178 - w = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448599817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15))**43\/(o**(3\/2))**(1\/3) assuming o is positive.\nAnswer: o**(-1291\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16751 (base 9) in base 11?\nAnswer: -8749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fiifiifiiiiiiiii.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 601, 949, 1299?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 36 = -5*x, x + 12 = -5*w - 0. Let q(v) = -37*v + 378. Let h be q(10). What is the highest common factor of h and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.3 and 4288418605.\nAnswer: 4288418607.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/6 - 49*j**2 + 6725*j\/6.\nAnswer: j*(j - 269)*(j - 25)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2821330981?\nAnswer: 7, 313, 1287691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5871*y + 11538*y - 4 - 6101*y.\nAnswer: -434*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2786683 is divided by 917?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4686 and 18176.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5\/5 + 168979*l**4\/5 + 34879222*l**3\/5 + 57775296*l**2\/5 + 23065056*l\/5 = 0.\nAnswer: -204, -1, -2\/3, 0, 56532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 y when three letters picked without replacement from {y: 10, t: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 - 53*z**3\/3 - 406*z**2 - 4460*z\/3 + 14200\/3.\nAnswer: (z - 71)*(z - 2)*(z + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -252157800 rounded to the nearest one hundred thousand?\nAnswer: -252200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3488.535 - -3479. Let y = -10.2 - h. What is y rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.1 + -9.516. Let o = j - -0.182. Round o to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k**2 + 17*k - 17*k + 55*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1911206, 1911196, 1911186, 1911176, 1911166, 1911156?\n\"Answer: -10*n + 1911216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + -120?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79\/7 + 11. Let r = -0.1 + -0.9. Let s be (2\/(-28))\/((-2)\/4). What is the closest to y in r, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 5 + 1 - 4*i**2 - 5*i**2 + 2*i**2 + i**2 + (-3 + 3 + i)*(i + 0*i - 2*i).\nAnswer: -7*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0 - 5 + 0 - v. Let h be o(-7). Let x(f) = -h + 2 + f. Let z(g) = -g. What is z(x(s))?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 - 75. Let g(j) = -j**3 + 19*j**2 - 16*j - 21. Let s be g(18). Calculate the highest common divisor of s and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 0 + 6)*(0 + 2 + 1)*(-9*g**3 + 2*g**3 + g**3).\nAnswer: -684*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-10))\/(7\/(-35)). Let d be ((-2)\/(-3))\/(g\/(-3)). Suppose 2*n - 1 = n. Sort 3, n, d in descending order.\nAnswer: 3, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3142*q - 83138 = 1611*q - 2248*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(150\/18) + (-2)\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 2 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62374492.\nAnswer: 2, 19, 97, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 795 = -6*c. Suppose 27 + c = 3*u. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 295.0674ng?\nAnswer: 0.0000002950674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8806.\nAnswer: 2, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*(((-24)\/21)\/2)\/(-12*23\/322).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2 - 35*o - 200 = 0?\nAnswer: -5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -3173.\nAnswer: 6\/3173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 824178898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/15*2\/(-6)*-3*310\/(-12710)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 86*l = 83. Let a = 7 + -2. Let w = a - 10. What is the biggest value in l, w, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p - 7. What is the units digit of r(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584250 and 533.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(g**2 - 3*g**2 + g**2) + (2*g**2 + 0*g**2 - 3*g**2)*(2 - 5 + 5).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 - 7 = a, 27 = -3*a - 3*q. Let y be ((-132)\/(-55))\/((-6)\/a). Solve 0 = s - 4*d - 5, y*s - 2*s = -2*d + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:07 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/i**32)\/i)*i)\/(i*i*i**14*i)*(((i\/(i*i**2*i))\/i)\/i)\/(i\/(i**(1\/9)*i)) assuming i is positive.\nAnswer: i**(109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b + 30. Suppose -4*u + u + b = 0. Suppose 0*p + 64 = u*p. Calculate the highest common divisor of p and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52485, -52488, -52491, -52494, -52497, -52500?\n\"Answer: -3*w - 52482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 29. Suppose 3*j - w*j + 28 = 0. Suppose -j*t = -4*q - 180, 2*q = t + 4*q - 54. Calculate the greatest common divisor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/33072 and -71\/60632.\nAnswer: 363792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3247 - 72\nAnswer: -71.6753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -138001*b*i**2*z + 5*b*i*z - 6*b*i + 28*i**2 + 20*i*z - 244*i + 3 wrt b?\nAnswer: -138001*i**2*z + 5*i*z - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 5:21 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614822 is divided by 111?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2*x + 18, x = d + 3*x - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*v + 6673 + 13927 = -5*v. Which is bigger: 21 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/4 + 5*g**3\/3 - 17*g**2\/2 - 3538*g. Give v(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/162)\/(38\/798).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 4*k - 12 - 28 + 7 - 6*k.\nAnswer: -5*k**2 - 2*k - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1382 - 6234*p**3 - 3*p**2 + 3*p**2 + 6235*p**3.\nAnswer: p**3 - 1382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 102446096 >= 102446091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*q = 97, 2*q + 2 = -8. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.3, -15.5, -0.3, -274, -2\/13, -12?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83057, 332532, 748411, 1330688, 2079357?\nAnswer: 2994412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-483)\/(-115)*7\/(378\/30))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/60 - r**4\/4 + 2*r**2. What is the second derivative of u(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*s**2\/19 + 919046*s\/19 + 19217888\/19.\nAnswer: 2*(s + 35327)*(13*s + 272)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5474\/49 - (-2)\/7. Let j = c - 77. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -73. Suppose -2*a = -3*t + w, t = a + 2 - 0. Solve 0 = -a*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 11*o**2 + 27*o - 6. Let i be 1*5 - (32 - 30). Let d be q(i). Solve -3*r - 5 = -5*l, d*l + 1 = 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5885 = -x, -2*x - x + 5*j - 17695 = 0. Let n = x + 82403\/14. Calculate the common denominator of n and 23\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 14*k**2 + 32*k + 13. Let i be a(16). Suppose -14*x - 100 = -i*x. Let r = -86 - x. Calculate the highest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.80957 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 9, w + 2*c + 31 = 82. Let j = 0 - -2. Suppose 0 = 7*q - j*q - w. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 1:33 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p**3 + 347*p**2 - 54*p - 5. What is the units digit of h(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328871?\nAnswer: 19, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65717600 divided by -29536.\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9. Suppose 3*f + 14 = g, q = g + g - 3*f - 43. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5*h = 25, r = -0*h + h + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 15 = -i - 6*f, -3*f = 2*i + 5 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 26*q - 45 = 0. Let v be 10\/q - (-16)\/12. Suppose 2*y = -2*s + 5 + 13, 4*s - v*y = 24. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b*f**2 + b*f + 494*f**3 - 3346*f wrt f?\nAnswer: -8*b + 2964*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 194678439, 389356873, 584035307, 778713741, 973392175?\n\"Answer: 194678434*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*(-4)\/(-5))\/(4\/(-50)). Solve 0 + y = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 w when three letters picked without replacement from wwswiiwiswwi?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494.1555ng to tonnes.\nAnswer: 0.0000000000004941555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a + 377. Let u be q(44). Solve -y + 2*f + 3*f + u = 0, -5*f - 25 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35410327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 + 164. Let o = r + -20. What is the smallest common multiple of o and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-32 + (-2035)\/(-74))*((-16)\/(-3))\/(-2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1446 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 8 = 3*v - 117. Solve -v = 5*w - 58 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = q - 5*x, 4*q + 264*x = 263*x + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7770 and 13542.\nAnswer: 473970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -1*(0 + 1). Let q(l) = l + 1. Let m(o) = 5*o. Let u(d) = 4*d + 1. Let b(n) = 3*m(n) - 4*u(n). Determine i*b(h) + 3*q(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b - 28. Suppose -3*g = 7 - 175. Calculate the greatest common factor of b and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23677 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2507?\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 369080\/65 - 2 - (-14)\/(-91). What is the common denominator of -83\/18 and a\/(-952) - (-3 - (-3 + 6))?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 165 + 21 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/3 - 2502*z**4 + 14122364*z**3\/3 - 139724440*z**2\/3 - 470748800*z + 14047504000\/3 = 0.\nAnswer: -10, 10, 3748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22848 is divided by 90.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 14*o + 9*o. Let u(l) = -2*l**2 + 5*l + 5. Let p(s) = s + 1. Let k(n) = 5*p(n) - u(n). Calculate v(k(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * 0.13\nAnswer: 0.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, -2, 3, 1, 22 in decreasing order.\nAnswer: 191, 22, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 15*j + 2. Let h(c) = 28*c + 4. Let r(u) = -11*g(u) + 6*h(u). Give r(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18452732366 - 0.5?\nAnswer: -18452732366.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 53614707.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/8 and 7\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) - ((sqrt(76) - (sqrt(76) + sqrt(76) + sqrt(76)*-3 - sqrt(76))) + sqrt(76)))*3)\/(sqrt(44)\/(-1*sqrt(11)) - sqrt(4)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1851200 divided by -400.\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -115948279?\nAnswer: 4\/115948279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/24*4*0\/1. Which is greater: -41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/765 and -8\/117045.\nAnswer: 117045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*d - 4*d - 13*d)*(12*d - 4*d + 3*d).\nAnswer: 132*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*1 + 2 + sqrt(275) + 2 - (0 + (1*sqrt(1100))**2 + (sqrt(1100) - (sqrt(1100)*3)**2)*6).\nAnswer: -52*sqrt(11) + 58304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 2*c**2 + c - 10. Determine m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/(a\/((a\/(a**(1\/5)*a))\/a)))**24 assuming a is positive.\nAnswer: a**(-384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**6\/150 + 5*o**5\/4 - 861*o**4\/10 + 11466*o**3\/5 + 37044*o**2\/5 - 170*o. Solve u(j) = 0.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 greater than or equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/3245 - -2\/55. Suppose -3 = 2*x - x. What is the nearest to 1 in x, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 2520?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a**3 - 1\/112*a**8 + 3\/20*a**5 + 0*a + 1\/8*a**6 + 1\/70*a**7 + 0*a**4 + a**2 - 109. Suppose j(x) = 0. What is x?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287015802?\nAnswer: 2, 3, 2267, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 80 = 2*r. Let v(t) = -t**3 + 36*t**2 + 43*t - 68. What is the remainder when v(37) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1097, 2197, 3307, 4433, 5581, 6757?\n\"Answer: j**3 - j**2 + 1096*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -464849 + 462657.57. Round z to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 4030 - 698 = 0. Let u = l - 194. Let 1\/2*z**3 + 0 + 0*z**u - 1\/2*z = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**2)\/(q*((q**(1\/13)\/q)\/q)\/q))**46)**(-9\/5) assuming q is positive.\nAnswer: q**(-26496\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1 - 1 - 1 + 0. Let k(m) = -3*m - 8. Let b(d) = -d - 3. Let f(y) = 7*b(y) - 2*k(y). Let p be f(-4). Let a(s) = -s**2 - 6. Calculate p*a(z) + 5*n(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.062 + 0.05634. What is z rounded to 4 decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -7 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + (4 - -5) + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.81 + -2. Let b = 0.01 - n. What is the nearest to 1 in -1\/4, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (4*sqrt(40))\/sqrt(2) + -2).\nAnswer: -40*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/7 + (-203)\/(-29) + (-69)\/(-7). Let f(x) = 13*x**2 + 2*x - 5. Let v be f(-5). Calculate the highest common divisor of i and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, -2, -1201784, -2\/3, 3, -1\/10, -14?\nAnswer: -1201784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/24)\/((-4)\/(-16)). Let x = 6 + -6.2. Let n = 0.3 + x. Are r and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(5*4\/40). Does 4 divide 50\/13 - z\/(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208693540 plus 10?\nAnswer: -208693530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 118, 234, 350, 466?\n\"Answer: 116*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 y when three letters picked without replacement from {f: 5, b: 9, y: 3, o: 2}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634042112.\nAnswer: 2, 11, 225157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/15)\/(j*j*j**(-1)*j)*(j\/j**(2\/11))**(-46) assuming j is positive.\nAnswer: j**(-6562\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 - 51 = 0. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t - 1. Let h(m) = -5*m**3 + 2*m**2 + 13*m - 22. Let o(i) = -h(i) - 4*j(i). What is the remainder when 54 is divided by o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 19*k**2 - 11*k - 15. Let u(h) = -9*h**2 + 6*h + 7. Give 6*o(z) + 13*u(z).\nAnswer: -3*z**2 + 12*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8458*f + 5*j + 11 = 8455*f, -3*f + 5*j - 31 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110\/7 - 1664\/105. Let v = 0.08 + -0.46. Let r = 0.12 - v. Which is the third smallest value? (a) l (b) -1\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 117741276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - 2\/((-2)\/5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, u: 4, j: 6}. What is prob of picking 3 u?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0*j**4 - 2\/315*j**7 + 5*j**2 + 0*j**3 + 1\/504*j**8 + 0*j**5 + 0*j + 0 + 1\/180*j**6. Determine b so that c(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424737 to the power of 1\/2, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 9*j = -88 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnn. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (0 - 66\/(-2))*1 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32541533.\nAnswer: 1783, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5917, -12029, -18171, -24343, -30545, -36777, -43039?\n\"Answer: -15*i**2 - 6067*i + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12332101 + -44334?\nAnswer: -12431440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Suppose 4*g + 8 = w*g. Put g, -1, 0.1, -8 in increasing order.\nAnswer: -8, g, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 - f + f**5 - 2*f**3 + 0*f + (2*f - 3*f - f)*(-f**4 + 3*f**4 - f**4).\nAnswer: -4*f**5 - 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-3 + (2 - 3))) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - s - 75217 = 0, -4*g - 18817 = -5*g - 4*s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (72\/6)\/((-3)\/2). Is 11 a factor of (1 - 4)*(k - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4424*r + 8727*r - 4302*r + 464)*(1 + 0 + 0).\nAnswer: r + 464","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 367*t - 100509. Determine y(274).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - m)*(-m - 2*m + 4*m) + (-11*m + 2*m + 5*m + 1)*(2 - 2*m - 2).\nAnswer: 7*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-155)\/45)\/1. Let f = -732\/11 - -1877\/33. Let x = f + q. Is 2\/5 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 4. Let d be v(3). Let j be -2 + 0 + 8 + d. Let p = j + -1. Solve 0 = 4*t - 2*a + a + p, -24 = 2*t + 5*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/3, -4, 2936, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 1248*b + 389376.\nAnswer: (b - 624)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85774342?\nAnswer: 2, 47, 151, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + k**2 + 2*k + 1. Let h be u(-1). Let m(i) = 2*i - 9. Let j be m(6). Find the first derivative of y**2 + 2 + j*y**2 - 5*y**h wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 1)\/((-1)\/(-4)). Let i = b + -13. Let z(p) = -64*p - 511. Let v be z(-8). Sort v, i, -1 in ascending order.\nAnswer: i, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000041562 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 341737 and 26406950?\nAnswer: 290476450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48815456 is divided by 1013?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*b - 400*b + b**3 + 3*b**3 + 798*b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/9 + 4\/18. Let d be p + (2 - 3) + 3. Solve 0 = -2*h - 0*h + 5*m - 19, d*h = -m - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 1*(5 - 16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*b + 24. Suppose -3*z = -b - 0. Solve 2*k = 11 - z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 18550, 2, -4 in decreasing order.\nAnswer: 18550, 166, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -317, -491, -675, -869, -1073?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.0118 - 0.0118. Let z = -5.554245 - -41.554342. Let y = q - z. What is y rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 + -74. Let w = 259 + q. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**2\/2 + h + 35. Let n(s) = -3*s - 5. Let c(m) = -4*n(m) - 11*x(m). What is c(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6736)\/(-842))\/(16\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 1 + 23*s**3 - 21*s**3 - 5 - s - s in the form k + c*s**3 + d*s**2 + x*s and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/14 - ((-141)\/(-21) - 7). Suppose 3*a + c*x - 4 = 2*x, a + x = 2. Solve -a*o - 3*m = -8*m + 30, m - 2 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than -4178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**41*j**(-3)*j**3)\/(j**3\/j**(-2\/15)*(j**(-5)\/j)\/j**5) assuming j is positive.\nAnswer: j**(-497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(2) - sqrt(50))) - (2 + (sqrt(162) + -2 + sqrt(162) + sqrt(162) - sqrt(162))).\nAnswer: -26*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2195930672.\nAnswer: 2, 13, 10557359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -d106d (base 14) in base 5?\nAnswer: -112032444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 13 = 4*h, j + 10 = -j + 2*h. Let w be (-3 + 0 + 2)\/j. What is the third biggest value in 4\/5, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-four fifths of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5552 + 5532 + 2*i**2 - 11099. Let u(v) = -70*v. Give r(u(k)).\nAnswer: 9800*k**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/181 and 1760574 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2, -2*c - 3*g = c. Let u(l) = 26*l**2 + 2*l + 1. Let r be u(c). Suppose 5*b = -d + 129, 4*b + r + 56 = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/8 - 2\/2. Let d = -26 - -21. Let k = d + 2. What is the closest to -1 in g, k, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:26 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*t - 5*n, -31 = 4150*t - 4149*t + 5*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 3:43 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 0.2, 5\/277, 34, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019037 rounded to 7 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 187.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 + 43*d**2 - 3*d - 86*d**2 + 45*d**2 - 3*d**3 to the form z*d**4 + t + h*d**2 + p*d**3 + y*d and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/4)\/w*w\/w**3*(w\/(w\/w**0)*w)**(-47) assuming w is positive.\nAnswer: w**(-197\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/546)\/((-1)\/2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 + -2.1. Put 2\/5, 12, u, -5 in increasing order.\nAnswer: -5, u, 2\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(2\/3)*z)\/z)**(-2\/3))**(1\/6))**(-9\/2) assuming z is positive.\nAnswer: z**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2063 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 302 + 74. Let t = p + -91. Solve i + 4*i = v - 20, -6 = -3*i - t*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*f**2 + 67*f**2 - 49*f**2)*(0*f + 0*f + f**2).\nAnswer: -87*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021614856 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*u + 2*m, 7 = -4*m - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 2\/3, 0.3, 148\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*h - 324*h + w = -0*w + 17575, 0 = w. Calculate the greatest common divisor of 190 and h.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68825*p**4 - 68*p**3 + 24266*p**2 + 120*p wrt p.\nAnswer: 1651800*p - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7414.581 to the nearest ten.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3 - 7*a**2 - 8 + 42*a**2 - 4*a + 34*a**2. Let b be c(5). What is b rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {b: 14, x: 1, r: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -901, -421, -5 in ascending order.\nAnswer: -901, -421, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6434*s + 32166. What is c(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 723*d**4 - 221.\nAnswer: 2892*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -49246.\nAnswer: -9849.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Let n(v) = 196*v. Calculate g(n(j)).\nAnswer: -196*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -123. Let j = -50.9999967 - z. What is j rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009896 to seven decimal places.\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15 - 0.05. Let z = -2 - -2.5. What is the closest to a in z, -1, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -9. Let g = -0.5 + -0.5. Which is the third biggest value? (a) g (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 8*k**2 - 2*k + 6. Let z be 104\/(-16) + 3\/(-2). Is 11 a factor of o(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*y - 11 - 4 = 0, 4*n - 12 = 2*y. Let u be (-2 - -2) + n + 0. Put -3, u, 2 in decreasing order.\nAnswer: u, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {z: 3, a: 8}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 - -48. Let w = 161 + j. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/3 - 1685*x**4 + 2126890*x**3 + 19172350*x**2\/3 + 6394155*x + 2131947 = 0 for x.\nAnswer: -1, 2529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4343 to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5202 divided by -6?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1250 and 72090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 7:22 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/3)\/(2\/(-12)). Suppose q = -25 + o. Let j be q\/(-90) - (-3)\/5. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 - 2*q**2 + q + 1. What is the tens digit of d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) - sqrt(1620)*1)\/((sqrt(32)\/sqrt(4))\/sqrt(2)) - -3*(sqrt(15)\/(sqrt(24)\/sqrt(8) + sqrt(3)))**2*2.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1508 and 1885.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 2*u - 5. Let c = -316 - -320. Let s(g) = -2*g + 0*g + 6*g**2 + c - 7*g**2 + 2*g**2. Determine -5*f(i) - 6*s(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1080*r - 355*r + 64704 = -1297*r for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1\/7, 21314, -259 in ascending order.\nAnswer: -259, -2\/7, 1\/7, 21314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 + -309. Let v be 0 + 2\/(-7) + (-1452)\/14. Let j = z - v. What is the smallest common multiple of 9 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 617056*t - 4448. Let w be b(-17). What is w rounded to the nearest one hundred thousand?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 4 - 10) + (-32 - -27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 12506*q - 25013\/2.\nAnswer: (q - 1)*(q + 25013)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddududud. Give prob of picking 3 u and 1 d.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2390 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 511.845407 - 0.074407. Let d = -512 + v. Let h = d - -0.228508. Round h to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {c: 2, s: 3, e: 2, o: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x - 62. Let s(z) = 5*z**3 - 6*z - 10. Let l be s(-2). Is r(l) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 77\/5 of a hour?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12950 + -207131\/16. Let m be (-10)\/4*(-12)\/6. What is the common denominator of (m\/2)\/((-30)\/(-125)) and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x**3 + x**2 + 4*x + 2. Let l be q(-1). What is the highest common divisor of 25 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*p**2 + 429 - 212 - 215 as a*p + o + m*p**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2394 = -114*m + 3*z - z, m + 3*m - 3*z + 84 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 668030927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -11.2. Which is the second smallest value? (a) 0.2 (b) -4 (c) 0.5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -72\/4235 and -49\/7018?\nAnswer: 245630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2536\/(-1902)*(-24)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 2988*z**2 + 254079*z + 257070.\nAnswer: 3*(z - 902)*(z - 95)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13)*-2*-3 - -1*((-1*sqrt(13))**2 + sqrt(13))*-2.\nAnswer: -26 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1133 + -20123?\nAnswer: -13440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13332454427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5 - 4 + 3*w + 2*w - w**2. Let g be a(5). Let r be ((0\/(-3))\/g)\/(-1). Solve -t + 1 = 5*j - r*t, -5*j + 3 = 3*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 171?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54384 and 4944?\nAnswer: 54384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104195549953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784569 is divided by 261426?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/3 and -33\/11927050.\nAnswer: 35781150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 26*x. Let m(d) = -d**2. Calculate u(m(w)).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -18 - 21 + 54 - 21 + 3*t. Let o be g(7). Let i(w) = -w**3 + 16*w**2 - 7*w + 14. What are the prime factors of i(o)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406 - -101. Let q = 305 + x. What is the closest to -9 in 3, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 271281\/4 - 220551175\/3252. Calculate the common denominator of 17\/2439 and c.\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 7 + 5 - 5 + 0. Suppose -4*w + 3 = 2*r + r, 0 = 2*r + 5*w + 5. Determine u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -235, -0.02, -6\/11, 26?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00925049 rounded to 5 decimal places?\nAnswer: -0.00925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 89 and 27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 191f + 11?\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 205966 + 20.\nAnswer: 205986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 v when three letters picked without replacement from qvokkaakkqio?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Let i be (-1)\/30*(-20)\/8. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-2) + (0 - -4). Which is the third biggest value? (a) j (b) -2\/15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788234 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 56 = 9*c - 24*c, -5*x - 3*c + 7*c - 11 = -0*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -642 - -1030. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1100.198 + -1103. Let s = 1.516 + j. What is s rounded to two decimal places?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*i + 3 = 9, 8 = 5*d - 4*i. Suppose -4*v + 1696 + 88 = d. Round v to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -27*g**2 - 10*g + 24. Let w be c(3). Let q = w - -349. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805154117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1569 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1787\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.34 + -1.7. Let y = x + -0.6462. What is y rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/15)\/(-2))\/(((-36)\/6)\/((-30)\/3))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280) + sqrt(1280) + sqrt(1280)*-2)\/(sqrt(4) + sqrt(36)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1173*a*f**4 + 406*a*f - 21*a - 2318 wrt f?\nAnswer: 4692*a*f**3 + 406*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3280 + 12190. Calculate the highest common divisor of q and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2302 - -4302004?\nAnswer: 4244202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 3*o**8\/8 - 5*o**4\/6 + 5*o. Find the third derivative of z(q) wrt q.\nAnswer: 2520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)*p**5)\/((p*p\/(p\/p**1)*p)\/(p*p*p\/(p*p**(2\/5)))))**(-1\/24) assuming p is positive.\nAnswer: p**(-8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -1417746?\nAnswer: 1417744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2522 and 10954.\nAnswer: 8432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9655 and 28364459.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 5, 0.1, -28 in decreasing order.\nAnswer: 5, 0.1, -1\/3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.360801122 rounded to four dps?\nAnswer: -7.3608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggcggccgggggggcggg. What is prob of picking 2 g?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 383 times -0.893\nAnswer: -342.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, 77, 5 in descending order.\nAnswer: 77, 5, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 42 = -5*l - 209, 65 = g - 2*l. Let i(k) = g - 9 - 3 - 45 + 2*k. Suppose 13 + 3 = 4*o. Determine i(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2762 + -1808. What are the prime factors of b?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 - 3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1582 and 9944?\nAnswer: 69608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 2, d: 1, h: 6, l: 3, x: 2}. Give prob of picking 3 h.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 242078\/14 + -7 + 1034\/154 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -623 (base 8) in base 7?\nAnswer: -1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*s**4 - 39*s**2 + 5*s**4 + 14883 - 14881 - 414*s wrt s.\nAnswer: -108*s**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 38?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.7\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 9*s + 33 = 0. Suppose -s*n + 276 = l + 4*l, n + 5*l = 102. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 74*n**2 + n + 0*n - 12*n**3 - 11*n**2 - 2*n - 45 - 5*n = 0.\nAnswer: -3\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/3 + -3 + 6. Put 2, 0, x in increasing order.\nAnswer: 0, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/8 + 2*k**3\/3 + 46*k**2. Let v be 6\/(-10) - (-120)\/(-50). Let n(h) = 3*h + 3. Calculate v*t(s) + 4*n(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 + 16*g**3 - 5*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -101110011110 (base 2) to base 8\nAnswer: -5636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 16 = 7*q, -q = -3*f + 5548 - 5580 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6560 is divided by 1222.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*j + 47*j - 84*j - 81*j + 46*j.\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*u - 4*u = -4, -u = -4. Suppose -r + 4 = -d*r. What is h in -17*h**r - 2 - 20*h + 8*h**2 + 9*h**4 + 4*h**5 + 16*h**3 + 10 - 8*h**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from {j: 1, z: 2, p: 2, m: 1, u: 1, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 151, 265, 415, 607, 847, 1141, 1495?\nAnswer: 1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -h + 7. Solve -3*x = -h*x - s + 8, -x + 2*s = 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 19*h - 40. Calculate the remainder when w(-16) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-20)\/92) - (-4)\/10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 120741364?\nAnswer: 120741367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 3*h + 2*h)*(-4*h - 11*h + 4*h**3 + 22*h) to o*h + r*h**2 + d + t*h**3 + k*h**4 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/135)\/((-794)\/35730)*21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -162\/17 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1001202?\nAnswer: 1001203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 217 - 217.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2886, -3481, -4074, -4665?\n\"Answer: u**2 - 598*u - 2289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1248 and 350871300?\nAnswer: 2806970400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 5*h + 25, -5704*o + 3*h + 53 = -5697*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 114. Let r(q) = -q - 7. Let f be r(-7). Suppose 4*y + 4*l + 20 = f, 3*y - 4*l = -l + 15. Put u, y, -4 in ascending order.\nAnswer: u, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116787 + 53834. Let r = -62977.0095 - j. Let n = r + 24. What is n rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 8931 + 8931 - 1423*v**2 + 3*v to the form c*v**2 + f*v + l and give c.\nAnswer: -1423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3686 is divided by 729?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 25 - 35. Suppose -12 = 3*u + 3*n - a, 3*n + 8 = u. Let q = -13 + u. What is the lowest common multiple of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.3593 and -0.3?\nAnswer: -2.20779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204 - 228. Suppose t + 1 = 3. What is the tens digit of (-324)\/s + t\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 40 = -10*a. Suppose -h + a - 2 = 0. What is the units digit of 0 + h + 3\/(-12)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4194145 divided by 838829?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5580 divided by -45.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61172?\nAnswer: 2, 41, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 45 = -5*n. Suppose 4*r - n = r. Suppose -12 - 15 = -a + r*h, 5*a - 75 = -5*h. What is the greatest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8689 >= -8701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106008 and 966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 0 + -2 + 2. Suppose 0 = p - 18 + m. Solve 3*j - 8*j = p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010 a factor of 1622060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 116*f - 121*f = 45, -4*y - f - 9 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1569359776 and 11584?\nAnswer: 5792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133270.\nAnswer: 2, 5, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-3 + 0 + sqrt(325) + 2*sqrt(325)*4 - (-5*1*sqrt(325) - 5*(sqrt(325) - 1*sqrt(325))))**2 + -3.\nAnswer: 39322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 12*h - 19. Let p be o(-2). Is p greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:47 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 2:24 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 6:32 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*u**3*x**5 + 70*u**3*x**2 + 4*u**3 + 5*x**5 + x**2 wrt x?\nAnswer: -5520*u**3*x**2 + 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2507.043 millimeters to meters.\nAnswer: 2.507043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1467 and 3248753?\nAnswer: 29238777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3505933*z**4 - 11*z**2 - 334861487*z?\nAnswer: -42071196*z**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 10*z + 2. Calculate n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6460 - 20915 = 1825*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + (-12)\/3)\/((-2)\/(-102)). Suppose q + 3*q + 3*w - 39 = 0, -4*q + j = -w. Calculate the greatest common divisor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, -1, 5\/28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 9. Let l be 4\/t - 2900\/(-30). Suppose 0 = 4*n + 5*k - k - 72, -5*n + l = -k. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -223, -5, 5 in ascending order.\nAnswer: -223, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 65058*j**2 + 31*j - 33. What is the ten thousands digit of u(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 13) to base 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**6\/180 - 2*n**3\/3 + 29*n**2 + 3. Let u(x) be the third derivative of y(x). Let b(m) = -29*m**2 + 2. Determine u(b(c)).\nAnswer: -1682*c**4 + 232*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/21 (b) 131 (c) 35 (d) -7 (e) 0.5 (f) 7\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -33. Let u be 2\/(v\/(-15) + 0). Is 7 a factor of ((-2)\/u)\/(9\/(-567))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/109 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -841, 2, 3.\nAnswer: -841, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 + 118.9. What is the smallest value in 5, 0.2, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -21*z - 4. Let l(t) = -125*t - 25. Let x(m) = -4*l(m) + 25*n(m). Let p be (-1 + 0)*(1 - 0). Is x(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*k + 10 - 39*k - 20 + 5 to the form b + l*k and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - y - 2*y. Let t be j(-2). Is 2\/(3\/((-195)\/t)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2428*y**2 + 12*y + 20. Let l(k) = 487*k**2 - 2*k - 4. Calculate 11*l(u) + 2*n(u).\nAnswer: 501*u**2 + 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 676719859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8 + 18\/56. Suppose 8*g = -3*g + 12*g. Which is the nearest to g? (a) -12 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2811 (b) -2 (c) -0.3 (d) 0.009 (e) -1 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 5*b - 1. Let v be f(-6). Let l = 9245\/4 - 2333. What is the common denominator of l and v\/(2 - (-20)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*a**4 + 74*a**2*q + 3*a - 8490*q with respect to a.\nAnswer: 64*a**3 + 148*a*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 692, 1385, 2078, 2771, 3464, 4157?\nAnswer: 4850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -170878.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 2. Let c be (-4 - -32)\/14 + 2. Determine b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/6 of a millennium?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 12:00 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 6*u**2 + 5*u)*(-4*u**3 + 2*u**3 + 5*u**3).\nAnswer: -18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + (sqrt(208) + 0 + 2 - sqrt(208)))**2 + 2*(-1*(sqrt(156)*-1 + sqrt(156) + sqrt(156) + sqrt(156)))\/((sqrt(12) - sqrt(108))*-3).\nAnswer: -2*sqrt(13)\/3 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/16*56\/420*(-14740)\/(-268).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*q - 4*w, 33*q + 68 = 37*q + 4*w. Is 8\/(q\/10) - -7458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8489335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. What is the remainder when 15 is divided by 12*3*r\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4881 = 49*g + 422. Let p = 25572\/5 - 5206. Let h = p + g. Put -1, 0.5, h in increasing order.\nAnswer: -1, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (100\/(-3))\/(18\/(-297)). Suppose -4*d - x = -t, 7*d = 3*d - 3*x + 546. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(5 + sqrt(11)*2 + -2) - (0 + (sqrt(121)\/(5*-2*sqrt(11)))**2)).\nAnswer: -6*sqrt(11) - 1011\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/9)\/(1\/(-45)*-5). Suppose -2*j = j + y*j. Solve 1 = -j*x + x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/7 + 3530*u + 98808\/7 = 0. Calculate u.\nAnswer: -12351, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1 - 7*j + 8*j**2 + 4 + 3*j. Let f be v(1). Calculate the greatest common factor of f and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 12944*x**4 + 10484632*x**3 + 20930448*x**2 + 10458756*x.\nAnswer: 4*x*(x + 1)**2*(x + 1617)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*k**4 - 86*k**4 + 93*k**4)*(0 + 4 + 1).\nAnswer: -475*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1146 + 1145.99999133. What is v rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -564 - -563.996921. Round k to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1298556 and 921.\nAnswer: 398656692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01157 - -0.014403. What is z rounded to five dps?\nAnswer: 0.00283","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3)*1*1)*3 + -5)**2.\nAnswer: -30*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -18*u - 11. Let k(i) = -13104*i**2 + 3 + 13102*i**2 - 4 + 1. Calculate g(k(q)).\nAnswer: 36*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 2*v**4 - 4 + 4*v**2 - 3*v**2 + 4*v**2 to z*v**4 + t*v**3 + w + s*v**2 + x*v and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -62 + 70 - (-18 - -1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 217 = -5*o. What is the smallest common multiple of o and 22?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*q + 396 = 542*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.7 and -5.1.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 15*q - 7. Let y = -14 + 16. Let o(b) = -b + 0*b - 2*b - b + b**2 - y. Give -22*o(a) + 6*s(a).\nAnswer: 2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(198\/(-1815))\/((-6)\/10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 3. Let n be l(7). Let v(d) = 2 - 8*d + 0 + n. Let i be v(4). Let c(j) = -9*j + 13. Let q(y) = 2*y - 3. Give i*q(s) - 6*c(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 30*k**2 - 12*k + 81. Is g(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**2\/2 + 3*c + 28. What is q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 12*u**2 + 36*u + 49. Is j(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1102 and 343708?\nAnswer: 6530452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((110\/(-5))\/66)\/(10\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0160955143 to five decimal places.\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o - 48. Let z be j(10). Let c(m) = -m - 18. Let g be c(z). Solve -2*b + b - 1 = g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -4 (b) 53 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 272 = 208. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1)\/n)**(-2\/83)\/((n**(-1)*n)\/((n\/(n*n**7))\/n))*(n**(-2\/7)\/n)\/((n\/((n\/n**2)\/n))\/n)*n**(2\/9)*n*n\/(n**(-8)\/n) assuming n is positive.\nAnswer: n**(-206\/5229)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2074, -4166, -6278, -8416, -10586, -12794, -15046, -17348?\n\"Answer: -h**3 - 4*h**2 - 2073*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 335 * -6140\nAnswer: -2056900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.4 + -8. Which is the nearest to 0? (a) 0.5 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -932, -897, -846, -785, -720, -657, -602?\n\"Answer: -w**3 + 14*w**2 - 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4535451 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 368439 + -121?\nAnswer: 368318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/(-56))\/(20*(-3)\/240).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-735)\/(-253) - 0 - 2. Let s = b + -9\/11. Let k = -1 - -2. Which is greater: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1584) + (sqrt(1584) + 3)**2 + 0) + (sqrt(44)*2*5 - ((sqrt(44) + 2)*5)**2).\nAnswer: 156*sqrt(11) + 5172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -6*sqrt(52) - (sqrt(208)\/sqrt(4))\/sqrt(4).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560980342?\nAnswer: 2, 13, 1483, 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from zzmmmmz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 13\/(78\/72). Let h be (12 - -3)\/((t\/42)\/(-4)). What is the highest common factor of 126 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1447.\nAnswer: 3\/1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (2 + -9 - (-2 - (-13 - -13))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4 - (3 + -3) - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 g when four letters picked without replacement from xddddmmdgdgxmmx?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) 1\/3 (c) 0.5 (d) -1\/2 (e) 4\/7 (f) -2\/441 (g) -145\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 7. Let x be l(5). Let i(m) = m**2 + 6*m**2 - 9*m**x. Let z(r) = 2*r**2 + 4 - 4. Calculate i(z(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6476 at most as big as 148926\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2964 and 2885340.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096 a factor of 116304336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(16\/373))\/(2\/8). Suppose 19*r = 20*r - h. What are the prime factors of r?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106338997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/2223252 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -22*c - 1102. Let p be i(-52). Calculate the highest common factor of p and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)\/(5\/5). Let g(d) = 4*d - 5*d**2 + 2*d**3 - d**3 + 1 + x*d**2. Suppose -1 = -4*l + 15. Calculate g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Calculate the greatest common divisor of 16 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5))**(3\/4))**(3\/8))**29 assuming c is positive.\nAnswer: c**(-1305\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1559144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*w**3 + 7\/9*w**2 - 64 - 20*w.\nAnswer: (w - 12)*(w + 3)*(w + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**3 - 8*m**2 - 8*m - 23. Let q(o) = 6*o**2 - 8 + 0*o**2 - 2*o**3 + 3*o - 9*o**2 - 6*o. What is 3*d(y) - 8*q(y)?\nAnswer: y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptq when three letters picked without replacement from bqtcqcppcq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92121 + 47902973\/520. What is the common denominator of 13\/16 and a?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:31 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:43 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -669634451 - -669634447.10000023. Let f = 3.9 + k. Round f to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 1\/18 (c) 0 (d) 0.3 (e) -0.3 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t. Let z(f) = -55326*f. What is n(z(g))?\nAnswer: -995868*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let y(i) be the third derivative of 0*i - i**2 - 13\/24*i**4 + 0*i**3 + 17. Calculate n(y(o)).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 39712120.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42878 in 2, 3\/2, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, c: 2, y: 2, j: 4, l: 5}. Give prob of sequence yjyl.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -10) + (8 - (-12 + 18) - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5034 + -4950. What is the remainder when 1425 is divided by f?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 3. Let u be w(4). Let s be (-8 + 2)\/(-3) + -1. Let y be ((-84)\/70)\/(s - 5). Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**3 - 74*d**2 - 12*d + 138. Give u(-18).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2031?\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 25746?\nAnswer: -25745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqys when four letters picked without replacement from asqacqeccysqs.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203574812.\nAnswer: 2, 3, 11, 1279, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 44.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*l - 168 = -33*l + 315 + 539 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100046 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: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7060078 divided by 10.\nAnswer: 3530039\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 11*x - 7. Suppose 147 = -6*a + 75. Determine d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27114771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 6*u**2 + 6*u. Let j be b(-4). Suppose 5*w = 2 + j. Let t(g) = 10*g**2 + 0*g**2 - 4*g**w. Let m(s) = 2*s**2. What is m(t(v))?\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-130)\/15 - -4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s - 20*s + 60 = 0. Sort s, 4, 2371 in decreasing order.\nAnswer: 2371, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {o: 7, f: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43177285?\nAnswer: 5, 257, 33601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124724*o**2 + 30*o - 2452?\nAnswer: 249448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 92. Suppose m + 14 = 5*b. Suppose 2*k - b = -q - 3*q, 2*q + 4 = 4*k. Solve -2*h + 2*z = 6*z + 18, -3*h + k*z = -5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = 1. Calculate the remainder when 7 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 6\/41 (b) -1277 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6023924 is divided by 108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11303322 (base 5) in base 8?\nAnswer: 312243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 898323660 divided by -69101820.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qggqqqqqqqgggqqggqq. What is prob of picking 2 q?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4205332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 62, 5, -0.4, -4\/7, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-1 - 2 - (8 + -14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j**3 - j)*(-1 + 0 + 3).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 436016668 and 1814?\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*y - 4490 + 1564. List the prime factors of y\/(-2079) + 83750\/54.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -3*b**5\/20 - 9*b**4\/32 + 3*b**2\/16 + 876. Factor m(a).\nAnswer: -3*a*(a + 1)**2*(2*a - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g - 2*y, -g = -3*y - 4 - 1. Let c be (-1)\/1 + 8\/(-2). Put -4, c, g in ascending order.\nAnswer: c, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0.2, 0.0061 in descending order.\nAnswer: 26, 0.2, 0.0061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnhyqnj. What is prob of picking 1 h and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -372, -839, -1494, -2337, -3368?\n\"Answer: -94*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*u, 0 = -o + 5*u - 1 + 23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 197638.\nAnswer: 1185828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w - 9*w - 2574 - w**3 - 4*w + 30*w - w**2 - 5*w as s*w**2 + g + a*w**3 + j*w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, p: 2}. Give prob of picking 2 o.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49366409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 5. Suppose -4*q + 4 = 4*l, -3*q + 3 = 2*l + 3*l. Let x = 31.6 - 32. Which is the nearest to l? (a) x (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 22. Suppose 0 = -5*d - 3*o - 0*o + 6, -2*o + 4 = -3*d. Determine r(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51566 = -24*n + n. What is the remainder when n is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 - 5*j**2 + j**5 + (-3*j - 2*j**2 + 3*j)*(-258 + 258 - 37*j**2)*(4*j + 2*j - 4*j).\nAnswer: 149*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**7\/2520 + i**6\/240 - i**5\/120 - i**4\/4 + 5*i**2. Let t(w) be the second derivative of n(w). Calculate t(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 362*c + 302*c - 664*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 + -2 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n*n*n\/(n\/(n*n\/n**(-3\/10)))))\/n**(1\/3))\/(((n\/(n\/(n**(2\/3)*n)))\/n)\/(n\/n**(-5))))**(-3))**19 assuming n is positive.\nAnswer: n**(-969\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 3495704?\nAnswer: 17478520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 4*n - 1. Let j be r(7). Calculate the highest common factor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2 - 6) + -12 - -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuuc when four letters picked without replacement from {c: 7, u: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-273)\/9)\/(3 + (-48)\/18). Let a = -13 - k. Calculate the least common multiple of 20 and a.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 1:44 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4283201*s**3*w**2 - s**2*w**2 - 6*s*w - 409*w - 6 wrt s.\nAnswer: 25699206*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - -0.9. Round x to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 295 and 129.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19176883463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 6:23 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 48867.\nAnswer: 733005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2*603\/(-3752))\/(9\/(-2))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - i + 6 = -3*d, -2*d - 2*i + 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:43 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 13*p + 5. Let o(n) = -n**2 - 4*n + 5. Let k be o(-5). Factor k*t - 2\/5*t**p + 2\/5.\nAnswer: -2*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 2736*h**3 - 10*h**2 - 1412*h**3 - 1322*h**3 as x*h + o + w*h**2 + u*h**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -97*u + 91*u. Calculate the lowest common multiple of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 87885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 1716. Let o(s) = -6*s + 5161. Determine 7*j(n) - 2*o(n).\nAnswer: -2*n + 1690","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + (49 - 98) + -40?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 1:45 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 plus -336745862?\nAnswer: -336746010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1 + 5 + ((sqrt(720) + 1 - sqrt(720))*-6 - sqrt(720)) - -5*(-1 + 3*sqrt(720)))**2.\nAnswer: -1872*sqrt(5) + 121716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-60))\/((-3)\/(-30)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1329, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -124, -253, -422, -625, -856?\n\"Answer: h**3 - 29*h**2 - 3*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-10)\/(f**23\/f*f) assuming f is positive.\nAnswer: f**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppggysgpgpghpx. Give prob of sequence xh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(6\/8). Let g = 1.81 + 19.39. Let d = 20.9 - g. What is the fourth smallest value in z, 2\/7, 0.02, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (832\/(-260))\/(6\/(-10))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imi when three letters picked without replacement from {i: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**12)\/(p*p**8\/p*p))\/(p**(4\/13)*(p\/(p**(-3\/5)\/p*p))\/p))**36)**(16\/9) assuming p is positive.\nAnswer: p**(12864\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-900)\/40*2\/(-3)*(-50)\/(-125).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + (7 + 8 - (27 - -55))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1400652*u**2 + 1400661*u**2 + 3 + 0.\nAnswer: 9*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*k - 3*p, k + 4*p = -2*k - 2. What is the second derivative of -k - 8*a**2 - 24*a + 13*a + 6 wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/52)\/(((-2)\/16)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a + 17*a + 10*a)*(-10 + a**3 - 22*a**2 + 10).\nAnswer: 18*a**4 - 396*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(-405)\/270.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 0*m**3 + 3*m**3)*(0 + 4 - 6) + 4*m**3 - 2*m**3 - 3*m**3 + (0*m**2 - 2*m**2 + 6 + 4*m**2)*(4*m - m - 2*m).\nAnswer: -m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13497.08 times 64?\nAnswer: 863813.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:52 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 219618 = -4*o - 219623, -5*q = 4*o + 105 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 16, 43, 84, 139?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -48. Let n be (-2*1)\/(-48) - (-3 + y). What is the second smallest value in -0.1, n, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22782445301434 from -2.\nAnswer: 22782445301432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3*x**2*y**3 - 2269*m**3*x**2*y - 20*m**2*x**2 - 3*m**2*x*y**2 + 3*m**2*x*y - x**2*y**3 - 8*y**2 wrt m.\nAnswer: 12*x**2*y**3 - 13614*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 347363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2311907110?\nAnswer: 2, 5, 231190711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {t: 4, w: 3, u: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 28 = -2*a, i + 2*i = -4*a + 51. Let v = -5 + a. Solve 0 = -4*w - v - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*b - 0*k + k, 2*b - 27 = -k. Suppose 0 = j - 5 + 1, 192 = 4*f - 4*j. Calculate the highest common divisor of f and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233402 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 23*a**2 + 36*a - 96. What is the thousands digit of b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y + 12 - 3 + 0. Let t be m(-11). Suppose -2*i + 112 = -w, -i - i = w - t. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + 533?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 5*r**3\/3 + 11*r**2 - 14*r + 43. List the prime factors of x(-10).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 551, -1, -10, 63, -2, 7 in ascending order.\nAnswer: -10, -2, -1, 7, 63, 551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*p = 732 - 4722 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 5*t + 12. Calculate the remainder when 21 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 2\/13, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -120 - 2?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*80\/15*(-20)\/(-520).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 580\/3 - 6374\/33. What is the second smallest value in -21, -1, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 31*t**2 - 241*t - 708. Let n be m(-3). What is the highest common factor of 4263 and n?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-6*sqrt(425)*1 + 5) - (5*-5*(sqrt(425) - (2*sqrt(425) - sqrt(425))) + 0)) + -1)**2.\nAnswer: -1080*sqrt(17) + 61281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 2. Let d be o(6). Find the common denominator of ((-1)\/9)\/(d\/(-218)) and -4 + (2\/(-230))\/(8*2\/(-7624)).\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5 + 4. What is the smallest common multiple of 3 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlcv. Give prob of picking 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*h + 627*h + 2*h + 683*h - 137*h + 435*h.\nAnswer: 1496*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8021461.\nAnswer: 8021461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 30*o. Let v(i) = -15*i. Let y(d) = -6*r(d) - 13*v(d). What is the tens digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23411 or -25816?\nAnswer: -25816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.34 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.4, -0.1, 1.27?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 3:07 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -466.\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 20*f**4 + 10*f**3 - 25*f**2 - 5*f. Let j(m) = 21*m**4 + 10*m**3 - 25*m**2 - 6*m. Let z(h) = -4*i(h) + 5*j(h). Solve z(x) = 0 for x.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccddcxcxed. Give prob of picking 2 d and 1 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12078 and -66.52?\nAnswer: -803428.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (6\/(-11) - (-43)\/(15136\/2304))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.153838588 to five decimal places.\nAnswer: -0.15384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 0 - sqrt(19)) + (sqrt(684)*2)**2 - 1*((sqrt(19) - (3 + sqrt(19)))*4 - sqrt(19)).\nAnswer: 12*sqrt(19) + 2748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**6\/10 + 3*u**5\/20 + 3*u**4\/4 - 5*u**3\/2 + 3*u**2 - 12*u. Factor x(k).\nAnswer: -3*(k - 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2175 is divided by (-1085)\/(-341) - (2 - -1) - (-5142)\/33.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + b + 79, t + 37 = b + 4. Let a be (-49)\/t*4\/14. Factor -k**3 + 0 - a*k**2 + 3\/2*k**4 + 0*k.\nAnswer: k**2*(k - 1)*(3*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, and 1 j when three letters picked without replacement from rjrrjrjjjvrrvrrr.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 15*g**2 + 21*g + 21. Let v = -5 + 2. Let o = -7 - v. Let a(i) = -3*i**2 - 4*i - 4. Let b(d) = o*m(d) - 21*a(d). Let k(j) = 2*j**2. Give b(k(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.32 and 7.39.\nAnswer: -54.0948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + 10 + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 5*b**2 - 5*b - 4. Let z(f) = 2*f**2 - 3*f + 4. Let g be z(2). Determine i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = -0. Let c(p) = -p + 0*p + 2*p**2 - 4*p**2 + 8*p**3. What is c(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12693881.\nAnswer: 19, 359, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-16) - -3) + -3. Let z = 950.1 + -872. Let g = z - 78. What is the smallest value in 5, t, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814348 is divided by 10825.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1928205*n**2 - 6675750*n - 5778125.\nAnswer: -5*(621*n + 1075)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 20*a**2 + 11*a + 19. Let k be j(-9). Suppose 10*y + k = 12. Let h(o) = -4*o + 5. Let b(p) = 5*p - 5. What is y*h(s) - 6*b(s)?\nAnswer: -2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.467846 kilometers to nanometers.\nAnswer: 3467846000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 23*t**8\/336 + 23*t**5\/60 - 14*t**2. Find the third derivative of w(p) wrt p.\nAnswer: 1380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8390, -8388, -8382, -8372, -8358, -8340?\nAnswer: -8318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:23 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54754 = -8*p - 7442. Let b be p*10\/(-6) + (-3)\/9. Let t = b + 138105\/14. Find the common denominator of t and 1\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-140)*(33 + 34658\/(-1032)).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/120*-20)\/((-1120)\/(-360)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -150606278 + 557473356. Let i be (179043\/(-2))\/(6 - (-46477)\/(-7746)). Suppose 0 = -7*o + x - i. What is o rounded to the nearest one million?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahhshlsheeak. Give prob of picking 1 h, 2 a, and 1 e.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -13*m**2 - 35*m + 38. Let f(q) = -3*q**2 - 8*q + 10. Let l(s) = 9*f(s) - 2*k(s). Determine l(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 - 11 = -3*h, 5*h - 5 = 0. Suppose -u*r + 18 = -18. Solve 0*m = -4*m - r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -35, -52 in decreasing order.\nAnswer: -35, -50, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*i - 72 = 0, 4*i + 127 + 1 = 3*k. Calculate the lowest common multiple of k and 950.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 n when four letters picked without replacement from {n: 3, z: 1, s: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 300322 or 300324?\nAnswer: 300322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 311\/2 - 158. Which is the nearest to -5? (a) 1\/2 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**4 + z**3 + z + 1. Let n(g) = 117*g**6 - 4*g**4 - 5*g**3 + g**2 + 141*g - 5. Let b(o) = n(o) + 5*t(o). What is the third derivative of b(f) wrt f?\nAnswer: 14040*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 24*o + 155 = 20. Solve -o*w + 2360 = 2360 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -1\/306 (c) -1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5487, 43696, 147371, 349236, 682015, 1178432, 1871211?\n\"Answer: 5454*u**3 + 9*u**2 + 4*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, -2\/81, 2, 30, 2.06?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrnnnv. What is prob of sequence vn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -10. Does 24 divide 292\/6 - 4\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/5? (a) -4 (b) 1\/7 (c) 1 (d) -0.91 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*z**2 - 23.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120697 and 1781?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o - 24. Let s be b(9). Let c = 14 - s. Suppose -c = -2*r, 2*p + 0*r + 3 = 3*r. Solve -5*z + p*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 75 = -2*c. Suppose -z + 4*z = -c. Let x be (-52)\/z - (-2)\/(-5). Calculate the highest common factor of x and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2644636 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**4\/7 - 16*a**3 + 72*a**2\/7.\nAnswer: 2*a**2*(a - 18)*(3*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*w - 44, -4*o + 31 + 80 = 5*w. Let y = 2 + w. Solve 2*l = -3*l + y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 + 2*s**3 + 0*s**3 + s**3 - 9 + 3*s**3.\nAnswer: s**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681276, -2725059, -6131366, -10900197, -17031552, -24525431?\nAnswer: -33381834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51743177?\nAnswer: 59, 877003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/70 - (-1)\/(-4)*(-720)\/(-450)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 1. Let y(a) = 5*a - 3. Let z be (-70)\/(-9) + ((-136)\/36 - -4). Suppose -g = -z + 65. Let q = g + 58. Determine q*y(p) - 4*o(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5\/9 - 240*o**4 + 31048*o**3\/3 + 6476*o**2\/9 - 30570*o - 20700 = 0?\nAnswer: -1, 2, 45, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 23\/706, -5, 0.5 in ascending order.\nAnswer: -5, -3, 23\/706, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020021021112 (base 3) to base 7.\nAnswer: -5365112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*p*s*y + 6*p*s + 216*p*y + 219*p - 231*s*y + 2*y with respect to s.\nAnswer: -6*p*y + 6*p - 231*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -91274\/373, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 6*z**2 + 6*z - 1. Let c be t(5). Suppose -c*o + 26 = 2*y - 20, -o + 5*y + 6 = 0. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -2*(sqrt(17) + -4 + sqrt(17)) + sqrt(17) - (sqrt(17) + sqrt(102)\/(sqrt(60)\/sqrt(10))))**2 - ((sqrt(833) - (sqrt(833)*1 + -2))**2 + 4).\nAnswer: -64*sqrt(17) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 497*y + 5801. Let h be f(12). Round h to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 7, m: 1, b: 9}. Give prob of picking 1 m and 3 b.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 3\/4)*(-16)\/(-120). Sort 3, -0.02, 4, m.\nAnswer: m, -0.02, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*c + 19*c + 7*c + (4 - 3 + 0)*(-3*c + 2*c + 3*c).\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13213 + 2?\nAnswer: 13221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 37 = 3*p - 0*y, -2*p + 3*y = 36. Is (149\/(-5))\/(3\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 3 - (5\/(-2) - (-24565)\/(-10)). Calculate the greatest common divisor of 672 and q.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 14899320*u**2 + 27748672359786*u - 166492570534668.\nAnswer: 2*(u - 6)*(u + 3724833)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 1362260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-61 - -28) - 12?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 68. Let k(f) = -95. Let j(o) = 5*k(o) + 7*n(o). Let a(q) = 16*q**2 + 2. Calculate -a(y) + 2*j(y).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 150*i + 615. Is 15 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 + -95.4. Let n = -20.6 + b. Let p be (-2 + 18\/8)*5. What is the biggest value in 16, n, p?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26\/9 + 79\/18. What is the common denominator of s and 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -11 + 5. Let v(f) = -f**3 + 3*f**2 + f + 4. Let z be v(c). Find the second derivative of 0*m**4 - 2*m**4 + 9*m**4 + z*m + 5*m**4 wrt m.\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 11:14 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/2 - 2403043*w\/2 + 4806078 = 0. Calculate w.\nAnswer: 4, 2403039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 122. Let c = -57 + a. Solve l + 3*l + 5 = -m, -4*m - 20 = -c*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1674142945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 15. Let w(v) = -12*v + 60. Give 9*r(z) + 2*w(z).\nAnswer: 3*z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505017543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a - 9. Let m(l) be the first derivative of -l**2 - 4*l + 15. What is -3*c(v) + 7*m(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - f - 18. Calculate v(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11271 - 11196. What is the remainder when 504 is divided by u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 8*q**2 - 10*q - 8. Let m be j(-9). Let a be (-1)\/(m*(-1 - 0)). Is ((-6)\/2 + a)\/(4\/(-3086)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 a, and 1 d when three letters picked without replacement from aedvda?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2222823161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + sqrt(396)*-1 - (0 + sqrt(396) + -4 - sqrt(396)) - ((sqrt(396) - (sqrt(396) + 1*sqrt(396))) + -2 + 2 + sqrt(396) + -1)))**2.\nAnswer: -2400*sqrt(11) + 11500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -255 + 998. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 + 6*j**2 + 2*j**2 + (5 - 5 + 3*j)*(-680 + 224*j + 680).\nAnswer: 675*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from {a: 5, x: 7, c: 7}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*((-12)\/8)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 2*c - c)*(61 - 56*c - 61)*(-3 + 1 + 0) - 9*c**2 + 2*c**2 - 10*c**2 + (0 + 0 + 2*c**2)*(-1 + 3 + 1) as o + d*c**2 + k*c and give d.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(80\/6))\/(((-21)\/24)\/7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135.5 + -14.5. Let t = -11713045 + 11712924.00174. Let b = i + t. Round b to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-136)\/14)\/((-185)\/35 - -5). Suppose 46 = 4*m + z. Let t = -1.95 - -2. What is the second biggest value in -4, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1204*102.\nAnswer: -122808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 3*d**3 + 3*d**3 + (-3*d**2 - 2*d + 2*d)*(-4*d - 2*d + 3*d))*(4 - 5 + 3).\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25162 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22975192477.1 and 103?\nAnswer: 22975192374.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 417519568 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 22. Suppose -3*y + z*y - 48 = 0. Let j = -13 + y. Solve 5*v - 20 = 0, -v - j = -3*l - 0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**4\/2 + 310*t**3\/3 + 296. Factor s(k).\nAnswer: 2*k**2*(k + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 288 - 66. Let o = g - -130. Let v(j) = -j + 22. Let w be v(o). Solve w*p = 9, -7*q + 2*q - 3*p + 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 30 = 3*n. Let u = -32.4 + 1.4. Let a = 32 + u. Is n at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -0.2, -70 in decreasing order.\nAnswer: 2, -0.2, -8, -70","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + 128\/(-24))\/((-2)\/(-738)). Suppose 2*v + j + 1886 = 5*s, 0 = -4*s + 4*v + 2284. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.04 and -0.4405.\nAnswer: -0.89862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(252)*3 + sqrt(252)*-3 + -3)**2 + ((sqrt(252) + (sqrt(252) - (sqrt(252) + -2)) - sqrt(252)) + -2 - (0 + sqrt(252) + 0))**2.\nAnswer: -216*sqrt(7) + 9333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1315 - 1312 + 2*k**3 - 3*k**2 - k - k**3. Let r be m(3). Suppose -3*p = 15, r*x = -4*x - 2*p + 2. Solve -x*o + 4 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*x + 7*x - x)*(-2*x**3 + 34*x**2 - 34*x**2).\nAnswer: -68*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654030821 to the power of 1\/3, to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0167 + 2.0167. Let w be ((-681)\/(-15))\/(4\/5). Let q = w + -57. Which is the closest to 4? (a) q (b) m (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 89. Put 0.02, 4, b, -0.2 in decreasing order.\nAnswer: 4, 0.02, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 + 1.76. Let y = r - 2.027. Round y to three decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chkk when four letters picked without replacement from {c: 1, b: 4, t: 2, k: 4, r: 2, h: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.466262 litres to millilitres.\nAnswer: 4466.262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/5 (b) -0.09 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -14, -130, 0 in ascending order.\nAnswer: -130, -14, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/25))**(-35) assuming z is positive.\nAnswer: z**(-161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 150073569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 3. Let b = t - 10.6. Let m = -5 - -8. What is the second biggest value in m, b, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -12. Suppose k = -8*c + 7*c. Let z(s) = 319*s - 3831. Let a be z(12). Sort a, c, 3, -2.\nAnswer: a, -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 21044675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -82. Let m = o + -2. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1294117*h**2 - 1657. Let w(x) = 1563*x**2 + 2. What is -4*n(o) - 3314*w(o)?\nAnswer: -3314*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 5*c**4\/4 + c**2 + 3. What is the second derivative of g(p) wrt p?\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-342)\/(-18))\/((-20)\/(-250)*425\/34).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u - 6. Let k(g) = -19*g + 11. What is 6*k(s) + 11*q(s)?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-5))\/(-18)*75\/(-2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 7*j. Let q(t) be the first derivative of t**2\/2 - 42. Let o = 0 + -1. Let s be (3\/(-6))\/((-2)\/20). Calculate o*b(x) + s*q(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*l - 241. Let m = 238 + l. Calculate the highest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - 3*n**5 - n**5 - 2*n**5 + 2*n**5 - n**5 + (-4 + 1 + 2)*(-12*n**5 - 93*n**5 - 3*n**5).\nAnswer: 105*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -8*n + 2. Let q(t) = 13*t**2 - 9*t - 5. Calculate the remainder when q(n) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s**2 + 11*s - 1. What is the remainder when a(6) is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 3*r - 6. Let q be j(6). Suppose -18 = -3*n + 4*n + 2*y, 3*n + 4*y = -q. Let g be 6\/(-4)*16\/n. Solve 0 = -o - g - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzzpztpzzptcz. What is prob of sequence tt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -0.3, -2, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Sort 6, -0.3, b in increasing order.\nAnswer: -0.3, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5194.385 milligrams in nanograms?\nAnswer: 5194385000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*o**2 - 11*o**2 + 12*o**2)*((-3*o + 3*o + 2*o)*(2 - 1 - 3) - 3*o + 3*o - 8*o) + (-2*o**2 + 2*o - 2*o)*(2*o - o - 3*o).\nAnswer: -344*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d7094 (base 16) to base 8.\nAnswer: -3270224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/27 - 1124\/(-36). Is 32 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = -3940. Let s = w + -201. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-34 - -33) + 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -0.04. Let z = -0.5 - -0.6. Which is the closest to 2? (a) 0.5 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1*(2243 - 0). What is the units digit of l\/9 - -6*(-4)\/108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6962 is divided by 3472.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/((-4)\/6*((-42)\/(-91))\/2). Which is greater: k or -0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -1*sqrt(272)*2 + 2)**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1499826 + -3487095523\/2325. Find the common denominator of 87\/40 and f.\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 8 + 4. Let f(l) = -l**3 + 2*l**2 + 4*l - 2. Let u be f(3). Put -5, y, u in increasing order.\nAnswer: -5, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 14*s - 11 = -11*s, -5*j - 4*s - 21 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 k when four letters picked without replacement from kkkkkaakkkakkkkkkakk.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215 - -638\/3. Calculate the common denominator of l and 37\/19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84744051 to the nearest integer?\nAnswer: 9206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1886 or 1885?\nAnswer: 1886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 8*t - 12. Let z be j(8). Let d be 2\/(-6) + (-28)\/z. What is the second derivative of -5*k - d*k + 0*k**4 + 4*k**4 + 2*k**4 wrt k?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 3*j - 2. Let z be b(3). Suppose -4*h + 2*n = -2*n + z, 0 = 5*n. Let k = -3 - h. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 2)*3 - 6*(0 + sqrt(288)))**2.\nAnswer: -432*sqrt(2) + 2628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 101100001000111100010 (base 2) to base 3\nAnswer: 2201111001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6256*g**3 + 10*g**2 + 12*g + 5. Let t(o) = 9384*o**3 - 14*o**2 - 17*o - 7. Determine -5*t(x) - 7*u(x).\nAnswer: -3128*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4491 (base 14) to base 4.\nAnswer: 2321233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 2, 3, 45\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2157*z + 7*z**2 - 10*z**2 + 2032*z + 180 + 5*z**2 - 19 with respect to z.\nAnswer: 4*z - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41, 83, 125, 167, 209, 251?\n\"Answer: 42*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 3, y: 1, b: 1, k: 1}. What is prob of picking 1 p and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -1538, -3126, -5244?\nAnswer: -7892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9364)\/(-6) + (-7)\/(-21). Suppose 10*p - 12*p + 625 = h, -2*h = 5*p - w. List the prime factors of p.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 3*t + 35, 0 = g - 4*t + 53 - 69 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -19. Determine m, given that 2*m**5 + m**4 - 2*m**3 - m**5 - 3*m**4 + x*m**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 7*h + 2. Let u be l(-4). Suppose -2*f + u = -4. What is the third derivative of -f*o**3 - 27*o + 14*o**2 + 27*o wrt o?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 16 = -2*a + 3*a, c = -4*a + 43. Suppose 2*f - a = b + 12, -2*b = 4*f - 34. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**2*v**3 - m**2*v + 2*m*v**4 - 6*m*v**2 - 37*v**3 + 3*v wrt v?\nAnswer: -12*m**2 + 48*m*v - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21*(27\/7 - (9 + -6)). Suppose k*h = 15*h + 36. Is 2020\/h - -2 - (-4)\/(-12) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1051, -27626, -105477, -257090, -507053, -879954, -1400381, -2092922?\n\"Answer: -4098*r**3 + r**2 + 6*r + 5142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/20 - g**4\/3 + g**3\/6 - 8*g**2 + 74*g. Give o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-92)\/230 + 82\/5. Suppose p - 3*f = 202, 2*p + 202 = 3*p + 3*f. Suppose -u*r + 18*r = p. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 5.7. Let h = 10 + -13. Put 2\/5, h, u in ascending order.\nAnswer: h, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 5*w**2 + 7*w - 1. Let c be a(6). Let n = -3 + c. Solve f + n*f - 9 = 4*x, 0 = x - 3*f + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38139195 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6121163\/328 - -18662. What is the common denominator of -3\/451 and q?\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**5 + 874*o**4 + 3*o**2 + 4*o - 4463 wrt o.\nAnswer: 20*o**3 + 10488*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65.9 + 66. Let z be (1\/5)\/((-10)\/30). Let i = 947\/7 - 135. Which is the closest to w? (a) i (b) z (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7519559, -7519553, -7519547, -7519541, -7519535, -7519529?\nAnswer: -7519523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 6, -2\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -2)*((-966)\/(-24))\/7*-2. Solve b + 19 = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r = -12*d - 63, -72*r + 5*d = -69*r + 12 - 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxll when four letters picked without replacement from wllxlxnln.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - l**4 - 24345*l**2 + 12169*l**2 + 12168*l**2 + 0*l**4 - 71*l**3 as x*l + z + k*l**2 + n*l**4 + a*l**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**4\/12 - r**3\/6 - r**2 - 8*r. Let u be b(3). Solve l + u - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39140925\/(-45)*(-3)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*b = 1 - 5, 0 = -4*b - 4. Suppose s = 15*t - 348 + 348. Sort t, -2, -1, 3.\nAnswer: -2, -1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(3) + sqrt(20))\/sqrt(10) + (sqrt(200) + (sqrt(200) + sqrt(200) + 2)**2 + sqrt(200) - (-4 + -1*sqrt(2))))*2.\nAnswer: 208*sqrt(2) + 1616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904251748?\nAnswer: 2, 89, 2540033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 6*s + 4. Suppose -38*k + s*k - 765 = 0. Are k and -48 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 5*c + 4. Let f be s(6). Let t(d) = f*d + 8 + 6 - 8*d - 5. Calculate the remainder when 3 is divided by t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 193 = -2*s, 65 = -3*s + d + 357. Let v = s - 140. Let i = -24 - v. Is i 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 3335?\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 232*j + 0 - 565*j + 629*j to the form l*j + s and give l.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + 7. Calculate the least common multiple of m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-4 - -9)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4889031104?\nAnswer: 2, 3697, 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i*i\/(i\/i**(-5))))))**(-8\/17) assuming i is positive.\nAnswer: i**(-40\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1168)\/(-1022)*(-35)\/(-2). Solve 4*u + b = 0, 4*u + 35 = 3*j - 6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - -1) + -6 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1 + 4*a + 2*a - 4 - 4*a. Let p be n(5). Suppose 3*i - 138 = -4*x + p*i, 4*x = -i + 141. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 + 751*k**2 + 992*k - 633. Calculate w(-249).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110002111 (base 3) to base 12.\nAnswer: 145aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (245\/(-42))\/((-600)\/7200)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2976, 5943, 8908, 11871, 14832?\n\"Answer: -h**2 + 2970*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 4*n - 1154. Let o be f(34). Suppose -4*b = b - 230. What is the greatest common divisor of o and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7897013?\nAnswer: 7897013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*k - 11, 0 = -k - 2*k + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 6, -5, -7, -14, 3.\nAnswer: -15, -14, -7, -5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 617\/5. Let p = -11.7 + 0.7. Let x = 11.2 + p. Sort 4, x, j.\nAnswer: j, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 - (2 + 2 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4484413 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-78)\/90 + (-1)\/(-5). Let z = 1.98 + 0.02. What is the third biggest value in z, t, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -32*q**2 - q + 1. Let v = -12 + 13. Let k be w(v). Let h = 48 + k. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 22*f**3 + 9*f**2 - 11*f + 91. Let o(p) = 11*p**3 + 5*p**2 - 6*p + 46. Let j(l) = -6*n(l) + 11*o(l). What is the derivative of j(k) wrt k?\nAnswer: -33*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**0*c*c**8 assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15282 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 3*j**2 - 5*j + 1. Let b(c) = -c**3 - 2*c**2 + 3*c - 1. What is 5*b(p) + 3*t(p)?\nAnswer: -2*p**3 - p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3544 and 4430.\nAnswer: 17720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1946.23923 - 1944.91. Let h = 93.67 - 95. Let r = h + n. What is r rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20571*t = 20576*t - 3*x - 43, 0 = -3*t + 6*x + 51 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 + -121. Let c be (4\/(-2))\/p - (-144 + -10). What is the greatest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**7\/(c**(-7)*(c\/c**(1\/7))\/c*c) assuming c is positive.\nAnswer: c**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Solve -d*u + 4 = 3*r + 25, 2*u = -3*r - 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132a75 (base 11) to base 4\nAnswer: -303000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10416303?\nAnswer: 3, 317, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -10. Let n = v + -6.98. Let d = 0.42 - n. What is the closest to -0.1 in 0, d, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -97?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 + 32?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3 - 407028*d**2 - d - 191464?\nAnswer: -12*d - 814056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 117 = -6*a. Suppose 95*b + 3013 = 14128. What is the greatest common factor of b and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72\/30 - 4\/10. Suppose -4*w + 2 = -t. Let r be w + 4\/5 + -1. Which is the closest to 0? (a) r (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976021661?\nAnswer: 976021661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3972 - 3971.970008. Let k = r + -0.03. Round k to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6647 is divided by 3196?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 0.6 (c) -11114 (d) -0.5 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 4*h - 3 = 0. Let b be (3 - (-2 + -1))*h. Is (40\/b)\/(2\/(-3)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-438 - -435) + (1 + -3)\/((-2)\/38737).\nAnswer: 2, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37627.82 decades?\nAnswer: 3762.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116 + -114. What is the second derivative of g*h + 2*h**3 + 2*h**2 + 5*h**2 - 4*h wrt h?\nAnswer: 12*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 7 + 16\/(-4). Let a be (-9)\/(-2)*(-8)\/(-6). Let v be (15\/a - f)*-2. Is v less than or equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmimiaffmifbib. What is prob of picking 2 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)\/(((h*h\/(h**(4\/3)\/h*h))\/h)\/h))\/(h**(1\/8)*h**(-4\/11)) assuming h is positive.\nAnswer: h**(109\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -23*k**2 - 183*k - 395. Calculate h(-6).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -32. Let f = s + -9. Let v be -1 - ((-14)\/(-10) - 2). Which is the closest to f? (a) -3 (b) v (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20629*g - 1221 = 41309*g - 20643*g for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216716 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/6)\/(4*(-14)\/(-168))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 7*b - 3. Let c be q(-7). Let k be 12750\/17*25*c. Round k to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.606236 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5797089 divided by 1.\nAnswer: -5797089","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlyyk. What is prob of picking 1 l and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002722 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11454798 to the nearest integer?\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k - 34*k - 52392 = -146*k. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.3, 2492, 6?\nAnswer: 2492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04138, 29626, -2?\nAnswer: -0.04138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 115.2. Let j = -10.767 - l. Round j to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100101111111001110001100 - 1?\nAnswer: -1101100101111111001110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 + 18 + 5*83 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 4*z**2 - 4*z + 3. Let i be k(2). Solve -i*r - 1 = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 224652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 smaller than -1.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*c**3 + 0*c**2 + 0 + 0*c + 0*c**4 - 2\/3*c**5.\nAnswer: -2*c**3*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -3\/5, 3\/7, -9\/8, 0.03, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 255\/37 + -2077\/296. Let w = 40 - 40. Is w less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 8*m. Let r be z(8). Suppose r*j + j = 0. Are -1\/8 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -257*o + 159. Calculate u(2).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + ((-1337)\/(-147))\/1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68 + 21)\/((-1)\/3). Calculate the greatest common factor of w and 11421.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 4*b - 9. Calculate l(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 21*q - 228. Let r be t(11). Solve -r*c = -5*c - 5*y - 29, y = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 1)*(-1112*x - 1001*x + 773*x).\nAnswer: 5360*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - 2. Calculate the smallest common multiple of 9 and -2 - s\/(2\/1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (0 - 3436\/76). Let z = 26983\/646 + r. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 485, 304, 123, -58, -239, -420?\n\"Answer: -181*r + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -49*f - 1627. Give s(-33).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 3*i + 5*i)*(2 - 3 - 1) + (0 + 3 + 1)*(-i + 3*i - 5*i).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85029269849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(52)*2 - (0 + sqrt(832))**2.\nAnswer: -832 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 75?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4340 + 2049. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14280 - 120067 = -1937*m + 27968 - 3976 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 92542, 185093, 277644, 370195, 462746?\n\"Answer: 92551*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - -4. Let o = -1759 - -1754. What is the fourth biggest value in f, 3\/4, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*r - 2 = 6, 103 = 5*q + r. Let b = q - 18. Let 2\/7 - 3\/7*x - 3\/7*x**b + 2\/7*x**3 = 0. Calculate x.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 161780000 to the nearest one million.\nAnswer: 162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211021212202101 (base 3) to base 2.\nAnswer: 101101001100010010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338 = 146*r - 246 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - a - 7. What is v(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*m - 3*m**2 - 1 + 54*m - 28*m + 122*m**2 wrt m.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 (base 6) in base 11?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8860.\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z. Let c(i) = 1 + 0 + 1 - i. Let t be c(2). Let w = t + -1. Determine s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -24. Let g = s + 61. Which is smaller: -12\/5 or g?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r = -44*r - 2*k - 14824, 2*r = 3*k + 14820. List the prime factors of r.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 23 - 5)*(-2*h + 2*h + 2*h**2).\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.9384038419087 and 0.\nAnswer: 12.9384038419087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 3*sqrt(51)\/sqrt(3) + 5 + sqrt(17)*2*-2)**2.\nAnswer: -36*sqrt(17) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 18. Let g be h(17). Let w be g - -1 - 3 - -94. What is the second derivative of 5*n - w + 29*n**2 + 91 wrt n?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0*p**2 - 2*p + 0 - 1\/3*p**3. Let w(d) = 6*d**2 + 9*d. Let u(o) = -3*o**2 - 4*o. Let g(b) = -9*u(b) - 4*w(b). Give g(l(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1434.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(4)\/(-2*sqrt(72) + sqrt(72) - sqrt(72)) + sqrt(98)*5 + (sqrt(2) - (sqrt(8) - ((sqrt(8) - sqrt(200)) + sqrt(8)))**2 - sqrt(2)).\nAnswer: -129 + 419*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2256 and -43\/4.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053632 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -671 + 7*u**3 - 1836 - 401 + 33*u**2 - u**4 - 598 + 479 wrt u?\nAnswer: -4*u**3 + 21*u**2 + 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-37)\/(-1))\/((-8)\/4 + 3). Let o = u - 34. Let v(m) = 2*m**3 - 3*m**2 + 1. What is the remainder when v(2) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 7*h. Let s be x(-7). Suppose -14*y = -11*y - 2*o - 15777, 15777 = 3*y + 4*o. Suppose 9*z - y - 4344 = s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/17))**(-47) assuming w is positive.\nAnswer: w**(-893\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-5) + (-5369)\/(-3835). Solve 4*f + 4*v + 4 = 0, -21*v = x*f - 18*v + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*4\/(-40) + 336\/5. Let f = s + -33. What is the least common multiple of f and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 1. Let k(y) be the second derivative of -y**3\/6 - y**2 - 2*y. Let b(j) be the first derivative of k(j). Determine -2*b(w) + m(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 831 and 303501975?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 97 - (-73 - 109)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 7*u**2 - 3*u - 9. Let j(p) = p**2 + 7*p. Let r be j(-5). Let g(o) = o**2 + 10*o - 7. Let z be g(r). What is i(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (10 - 2)) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92.7 - 115. Let i = p - -22. Which is the nearest to -1? (a) 2\/7 (b) i (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1517 + 1517 - 79*q)*(-4 - 3 + 32 + (2 + 0 + 2)*(2 - 3 - 1)) in the form b*q + z and give b.\nAnswer: -1343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4980*v**2 + 147*v**3 - 4980*v**2 + 2*v**3 + v**3 - v**3 + (3*v - 2*v - 2*v)*(-2*v**2 + 5*v**2 - 2*v**2).\nAnswer: 148*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-330)\/88)\/((-1)\/(-4)). Let i(q) = -126*q - 4. Let n be i(6). Let s be c\/1*n\/(-3). What is s rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12437960 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10 - n**2 - n**2 - 4 - 18*n + 4*n**2 + 0*n**2. Suppose -10 = -w - 1. What are the prime factors of s(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -1\/3, -2, 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 4 + 4 + v)*(-4*v**3 + 5*v**3 + 5*v**3).\nAnswer: -6*v**5 + 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 5, 4 in decreasing order.\nAnswer: 5, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 228.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-6*p**4 + 2*p**4 + 3*p**4) + 0*p**4 - 2*p**4 - p**4 + 4*p**4 + 0*p**4 - 2*p**4 - 2*p**2 - p + 741*p**4 - 8*p**3 - p**2 - 740*p**4.\nAnswer: -2*p**4 - 8*p**3 - 3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**4\/12 - 5*i**3\/6 - i**2\/2 - 24*i + 41. Let n(r) be the first derivative of m(r). What is n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9986186 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -7, 22, 71, 146, 253?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*-239.\nAnswer: -12667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 12, -54 = -131*n + 128*n - 3*p. Calculate the least common multiple of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 952*v**3 - v**2 + 1048*v.\nAnswer: 5712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**4\/24 - c**3\/6 + c**2. Let r be y(3). Suppose 0 = -r*q + 4, -22 = -3*p + q + 24. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 57*k**4\/2 - k**3\/3 - k**2\/2 + 2*k - 45. What is the tens digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 101.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-47))\/((-3)\/2). Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v + 4*h, 3*v = 3*h - 2*h - 1. Solve -l + v*l - 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:09 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 9:02 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + (sqrt(117) - (sqrt(117) + (sqrt(117) - (sqrt(117) + 1)) + sqrt(117)))*1)**2*1.\nAnswer: -18*sqrt(13) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 + 19)*(-2 + 2 - a - 4*a + 3*a - a + (2 + 0 - 1)*(2 - 2*a - 2))*(4 + 2 - 13).\nAnswer: 910*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 + -3?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -6.133 (c) -0.06 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -205, -4, 5, -2, -164 in descending order.\nAnswer: 5, -2, -4, -164, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*z + 668*z + 572*z.\nAnswer: 1993*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k = -30*k + 9315 - 2239. Calculate the remainder when 447 is divided by k.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109162 is divided by 51.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2694 = 11*k - 5*k. Let f = 450 + k. Is -2\/1371 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 17*f - 9. Let l be h(-14). Let r be 4\/2 + (-60)\/l. Let j = -4\/289 - 502\/5491. Which is the closest to 1? (a) r (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97074 or -97190?\nAnswer: -97074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2544 - (11 + 4 + -3).\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2647.0794865437 + 0.4.\nAnswer: -2646.6794865437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 2, 39, 82, 125, 162, 187, 194?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927\/748*(-8580)\/(-385)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i - 2. Let p be 2 - 4 - 3\/i. Let k(t) = t**3 - t + 1. Let y(c) = -11*c**3 + 2*c**2 + 5*c - 6. Let o(b) = -6*k(b) - y(b). Calculate o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - 165\/(-40)*46. Suppose -5*u + 20 = b. Let v = u - -47. What is the greatest common factor of v and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*114\/(-96) + (-2)\/(-8). Solve y*u + 15 + 0 = k, 2*u + 28 = -4*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 238 = -5*k + 223, -2*u = k + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 22*p**2 - 24*p - 27. Let j be z(-23). Suppose -38 = 15*i - 34*i. Sort 0, i, j, -1 in decreasing order.\nAnswer: i, 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(2 + -4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - -20?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 28*c - 204*c**3 - 28*c + 231*c**3. Let j(t) = -755*t**3. Calculate 6*j(f) + 170*q(f).\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 + (-36)\/(-21). Suppose 0 = -c + k*c - 27. Let y be 20 - (4 - 4 - -2). Calculate the greatest common factor of y and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**25)**(3\/7)*(c\/(c\/(c*c\/(c**(-1\/14)*c))))**(-16\/7) assuming c is positive.\nAnswer: c**(405\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-14))\/(12\/(-42))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 80, -42 in descending order.\nAnswer: 80, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 3*i**2 + 4*i - 2. Let w be m(2). Let o(x) = -3*x**w - 4305*x + 4305*x. Let k(f) = -81*f - 1. What is o(k(s))?\nAnswer: -19683*s**2 - 486*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 179, 157, 101, -7, -185, -451, -823?\n\"Answer: -3*a**3 + a**2 - 4*a + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = -3*z, -2*w - w + 2 = 2*z. Suppose 4*m + 0*m + 10 = 3*r, -w*r + 8 = -4*m. Suppose r*c + 8 = -2*c. Is c not equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 34, 54, 74, 94, 114?\n\"Answer: 20*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2717, -2719, -2733, -2765, -2821, -2907, -3029, -3193?\n\"Answer: -m**3 + 5*m - 2721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 s when three letters picked without replacement from {m: 3, y: 1, s: 5, g: 4, w: 1, t: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 3*v + 4*z, -4*v + z + 38 = 41 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d + 5 + 3*d + 3*d - 3*d. What is the units digit of a(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7231 - 7257 + 627*v**3 - 2*v**2 + 14488 + 2*v**2.\nAnswer: 627*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 35*l**2 - 9*l**2 + 17*l**2 to the form m*l**2 + r + v*l and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/12 - 6853\/726. Let b be 21 + -29 - (-10)\/(-5). Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 15 = -2*b. Let u(m) = m**3 + 16*m**2 + 21*m - 22. Let l be u(-13). Suppose 669 = b*w + 4*d, -4*d - 183 = -3*w + l. Is 36 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*l + 253, 3*m - m - l = 103. Let v = m - 53. Suppose v = 115*k - 119*k. Solve 0*i - 2*i - 3*w = -15, k = -2*i + w + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (11 - -2) - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -652236 divided by 50172\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5 + 18876*y**4 + 18884*y**3 - 56624*y**2 - 94386*y - 37756 = 0.\nAnswer: -1, 2, 9439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1700)*5 + sqrt(1700) + -2 + sqrt(1700)*-1)*5)**2.\nAnswer: 5000*sqrt(17) + 1062600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -23*f**2 - 9*f + 7. Let o(s) = 12*s**2 + 5*s - 4. Let c(l) = -3*m(l) - 5*o(l). Let a be (-6 - -2)\/(-2)*-1. What are the prime factors of c(a)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*b - l + 22, 5*b = -5*l - 55. Let i = b - -15. Suppose -i*m - 2*v = -72, 5*v = -4*m + 52 + 26. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 9*x**2 - 7*x + 11. Let j be w(-8). What is the hundreds digit of 5\/(30\/4) - (-478)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05418 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4 + 9*q**3 - 27*q**2 + 15*q = 0. Calculate q.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/331, -2, 3, 0.1?\nAnswer: -1\/331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 1348*t + 1350*t - 100 = 0, -3*t = -6 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 3:06 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -29. Suppose -3*g = -y + f, -2*g + 0*g = 4*y + 44. Let m be g*((-3)\/(-6))\/(-1). Solve -w - m = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -22 + 2 - (-51 + 0).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a - 8. Let i be ((-32)\/20)\/((-2)\/5). Let x be z(i). Suppose -3*l - j + 411 = 4*j, 3*l = x*j + 384. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/60 - u**4\/4 - u**3 + 8*u**2. Let f be q(-5). What is the units digit of -5 + 1 - (f - 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*a - 22, -5*a + 3*y + y = 28. Let w(q) = -q**3 - 5*q**2 - 3*q + 2. Let p be w(a). Put p, 3, 0 in ascending order.\nAnswer: p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/6 - (-5)\/(-10). Solve -8\/3*r**5 - 2\/3 + 4*r + 6*r**4 - d*r**2 - 4\/3*r**3 = 0 for r.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let o be s(1). Suppose -o = -2*d + 73. What is the remainder when 73 is divided by d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*y - 4*d, -7 - 16 = -3*y + 5*d. Let k(s) = -74*s**3 + 3*s**2 + 5. Let b(f) = -f**2 - 1. Let i(q) = y*k(q) + 4*b(q). Is i(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347686*r**2 - 1390731*r\/4 + 13\/4 = 0. What is r?\nAnswer: -1, 13\/1390744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b - 5. Let p(y) = -34*y - 26. Let s(a) = -2*p(a) + 11*u(a). Suppose z - 6 = 4*z. Let m be s(z). What is the greatest common divisor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3 - 28. Suppose 372 = s*f - 53. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 2521040?\nAnswer: 5042080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*c = -0*s + 23, 5*s = -3*c - 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/8 + (-4)\/(-16). Let m(p) = 2 + p**2 + 0 - 7*p + 4*p. Does 18 divide m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79 and 711.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49134604 is divided by 442654?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 341310289 to the power of 1\/3, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 134*a**2 - 716*a + 302. What is t(-72)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 108 = 8*q. What is the remainder when 68 is divided by q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*r**2*s**3 + 15*r**2*s + 522*r**2 - r*s - 9*s**3 - 3*s**2 wrt s.\nAnswer: 450*r**2*s - 54*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 + -2 - -20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 23*d**4\/24 + 73*d**3\/3 + 227*d**2. Let n be p(-6). Solve -4*w - 12 = 0, n*k + w = 3*k + 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -82, -79, -76, -73?\n\"Answer: 3*t - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 - -4. Let o be (-8)\/44 + 8\/(-77). Which is the closest to -1\/2? (a) -1 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64870.227 milliseconds in hours?\nAnswer: 0.0180195075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -67*s + 497. Give m(12).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggs when three letters picked without replacement from fffgfosssfsfgsfffs?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w**4 + 0*w + 17\/60*w**5 + 0*w**3 + 3\/20*w**6 + 0 + 23*w**2. What is the third derivative of j(p) wrt p?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30699 + -10758. Is 64 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221 by -1.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 48. Let j = -12 + o. Suppose l - 4*k + 67 = 6*l, 5*k + j = 0. Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h - 99 - 13. Let i be 12\/h + (12\/8)\/1. Solve -5 = -o - 2*n, i*o = -4*o + 4*n - 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -7. What is the units digit of r\/(-8) - (-16)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 7*b**3\/6 - b**2 + 2*b. Let k(n) be the second derivative of -n**3\/6 - 305*n. Calculate k(d(h)).\nAnswer: -7*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/12)\/(2\/(-24)). Suppose z - 37 = -y. Suppose -3*k + l = -277, 0*l + l + 368 = 4*k. Calculate the highest common divisor of z and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10330170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/6 - 3*c**2 - 16*c\/3 - 5\/2 = 0 for c.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 434.7157mm?\nAnswer: 0.0004347157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbjg when four letters picked without replacement from bjggjbggbbbgggg?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 7*j - 2. Let g be d(-4). Suppose -g*v - 505 = -6*v + 3*q, -2*v = -q - 251. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1484, 4962, 10764, 18884, 29316, 42054, 57092?\n\"Answer: -g**3 + 1168*g**2 - 19*g + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 5*p)*(-2*p**4 + 2*p**4 + 2*p + p**4).\nAnswer: 4*p**5 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 19*o + 74. Calculate f(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 861?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 4.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - b = -3, -3 = 4*x + 3*b - 4*b. Suppose x*j = -3*j + 111. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a. Let u(l) be the second derivative of -l**4\/6 + 9*l. Calculate u(k(d)).\nAnswer: -242*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w - 0*w. Let n be (-23)\/(-3) + (-2)\/3. Let c = n + w. Solve -v = -3*v - c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/7 + 234*g**2\/7 + 4912*g\/7 - 16896\/7 = 0. What is g?\nAnswer: -88, -32, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 18*w**2 - 18*w + 98. Determine j(6).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 9:23 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-6 + (-4 - -10))) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/360 + p**5\/120 - p**4\/12 - p**3\/3 - 3*p. Let j(t) be the second derivative of w(t). Find o such that j(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnz when three letters picked without replacement from {n: 5, z: 15}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6171977 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(-4*s + 3*s + 0*s) - 2*s + 2*s - s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.3, 0.4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**5\/5 + 45*u**4\/4 + 617*u**3\/3 + 1158. What is the third derivative of k(h) wrt h?\nAnswer: 24*h + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 47. What is the smallest common multiple of 4*(3 + (-3)\/d) + -3 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)\/p)\/(((p*p**(-4)\/p)\/p)\/p))**(-14\/9)*p**(-1\/8)\/((p\/p**(-3)*p)\/p)*p\/p**(-1)*p\/p**3*p assuming p is positive.\nAnswer: p**(-449\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -47. Let u = a + -3. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-8 - (2 + -7)) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039841 is divided by 345?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 7*n**2 - 7*n - 8. Let y be p(8). Suppose 5*u + y*u = 50. Suppose -x - 4*x = -u. Solve 2*d - 10 = 4*o, 4 = -x*o + 4*o - 4*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 6*s**4 - 121215*s**3 - 5335053*s**2\/8 + 1424673*s\/4 - 45468 = 0.\nAnswer: -6, 1\/4, 20208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -651028, -650877, -650726, -650575?\n\"Answer: 151*n - 651179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - v = 1, 3*d + 9*v + 21 = 4*v. Let f = -4.9376 + -0.0624. What is the smallest value in d, f, -4, 9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341175 divided by -5?\nAnswer: 68235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 2)\/(-4 + 0). Let g = -0.5 + 0.1. Let q = 0 - 1. Which is the nearest to q? (a) j (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.7 + -27. Which is the nearest to -3\/2? (a) -3 (b) s (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1852883938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**2 + 4*k - 19. Is g(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 20*i + 10. Let n be h(-15). Let d = n + -44. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 6:52 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20 - (-3 + 5))*-1. Let n = p - -46. What is n rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 12 - 4. Suppose -l - j*l = 0. Solve -4*n + a - 15 = 0, -3*n - a - a - 14 = l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-8*u - 9 + 9)*(0*u - u - 2*u) + (-2*u**2 - u + u)*(-2 + 5 - 4).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 10544*s - 13033694.\nAnswer: -2*(s + 1979)*(s + 3293)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 12 - 27)*(-2 - 2 + 2)*(-6 + 3 - 1 + 2*p)*(-154 - 76 + 151).\nAnswer: -9164*p + 18328","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9184 and 26955040.\nAnswer: 26955040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from kkjjphjjnjki?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 11:29 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 2 - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlg when three letters picked without replacement from kkggjjgljk?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 7688*q**3 + 7540*q**3 + 0.\nAnswer: -148*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*u + 15 = 0, 2*u = -4*y - y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*w + 88*w + 86*w - 334*w + 78*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:08 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8870000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 3, 0, -5 in ascending order.\nAnswer: -5, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - (-240)\/50)*-5. Sort 3, -1, c.\nAnswer: -1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 2*s**2 - s + 3. Suppose 0 = 2*r - 2*t + t - 7, -t = 5*r - 7. Let n be q(r). Calculate the highest common factor of 68 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*b**2*h**2 + 13*b**2*h*v**3 - 11*b**2*h*v**2 - 1414*h**2*v**3 - 3*h**2 + 174*h*v**2 wrt h.\nAnswer: -56*b**2 - 2828*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -25) + 40\/(-8). Solve -y + 5*w = 2*w - 10, y = 5*w + d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28016 or -28110?\nAnswer: -28016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-2) - 12\/8. Put w, 0.5, -4\/9, 0 in decreasing order.\nAnswer: 0.5, 0, -4\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 215, 3.2, 0.04, -18?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (46 + (44 - 97))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0)**(-1\/11)\/(v**0*v**4) assuming v is positive.\nAnswer: v**(-45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18146 - 18144. Let m = -0.03 + 0.23. Which is the closest to j? (a) m (b) -3\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2056, -1356, 544, 4244, 10344?\n\"Answer: 100*m**3 - 2156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38331720, 38331723, 38331726, 38331729, 38331732, 38331735?\nAnswer: 38331738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 3*i**2 + i + 6. Let q be f(3). Let m = 42 + q. Let o = -179 + 182. What is the closest to o in m, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 16 = 7*h. Suppose -6*z + 4*w = -z - 50, h*z = -3*w + 9. Solve z*x - 15 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-3)\/6*2 - 7. Let m(h) = -h - 5. Let s be m(f). Let x be s*(-2 - (-5 + 0)). Solve -4*z + 16 = 0, 0 = r - 5*z - 0*z + x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = t - 573. Suppose 9 = 3*u + t. Is 0 + (-4 + 1 - u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -30. Let a be (6 + -1)\/(h + 2). Suppose a*n - 53 = -4*j, 3*n - j = 13 + 29. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-77)*14\/(-5).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6930 and 19215.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*k - 2, k + 17 = 4*s + 6. Suppose 7476 = 39*m - 14052. Let q = m - 548. Solve -4*c - 3*d - 7 = s*d, 4*d = -q*c - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaasaqqgsqh. What is prob of picking 2 a?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + c**4 + 11*c**2 + 3*c**3 + 0*c**3 - 7*c**2 + c to the form o*c**3 + x*c**4 + w*c + i*c**2 + b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 167304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/12 + 2*r**3\/3 - 7*r**2 + 9*r. Let q be n(-6). Is q at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149932440 to the nearest integer?\nAnswer: 12245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.09672 rounded to 3 dps?\nAnswer: -9.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3 + (782 - 758 - 3218 + (-3 + 3 + 2)*(-2 + 3 + 1))*(3 + 1 - 2))*(0 - 3*n + 0) in the form k + a*n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 419291658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12573974 and 292418?\nAnswer: 12573974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 2*y + 31. Let r be c(4). Suppose -15*f + r + 38 = 0. Solve -4*v + 35 = f*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (1 - 2 - 2). Solve 0 = -f - 2, 4*f = k*t - 0*t - 18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17048 - 17051. Sort -4, 2, -1.2, d, -1 in descending order.\nAnswer: 2, -1, -1.2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {g: 1, b: 4, e: 1, a: 4, d: 2, t: 7}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**3 - 3. Let s(h) = 20*h**3 - 10. Give -10*o(m) + 3*s(m).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 106*l + 300 = 104*l, 3*i - 3*l + 72 = 12 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186375 and 218250.\nAnswer: 108470250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - (-2 - 1) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.6 + 27.9. Let d = 9.2 + x. Let y = -28 + d. Which is the second biggest value? (a) y (b) -3\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2*(-2)\/(-10). Let z = 173 + -174. Which is the nearest to -0.2? (a) -2\/7 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*x - 185*x + 127*x + 254*x**2 + 178*x**2.\nAnswer: 432*x**2 - 331*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1259 = 14*l - 839, -134 = 11*z + 3*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Let v(p) = -4*p**2 + 1 + 5*p**2 - 1 + t*p. Let l be v(-5). What is l rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 0.1, -0.4, -2, 1, 27266?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32916065 divided by 1.\nAnswer: -32916065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3. Let i(v) = -3*v**2 + 21. Let r(l) = -l**2 + 12*l + 82. Let w be r(17). Give w*i(f) + 21*b(f).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 162, 367, 646, 993, 1402, 1867?\n\"Answer: -s**3 + 46*s**2 - 6*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + 3 + 1 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 92 = -90. Let i be r*22*(-8)\/(-16). Solve i*k = 10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qennnhttnnnrnneetnnn. What is prob of picking 2 t, 1 q, and 1 n?\nAnswer: 11\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 177 + 1656376?\nAnswer: 1656575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 k, and 1 m when four letters picked without replacement from ldjmkok.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**3\/3 + f - 1. Let l(b) = 4*b**2 - b - 5. Suppose d = -0*d, -2*c = -2*d + 4. Give c*l(g) - 9*o(g).\nAnswer: g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 - u + 1. Let m(q) = -3*q**3 - 4*q**2 - 4*q + 4. Let v be 152\/(-11) - (-2)\/(-11). Let n = v - -13. Calculate n*m(d) + 4*a(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 872 - 826.7. Let z = -44.9 + m. Sort -2\/9, 2\/3, z in descending order.\nAnswer: 2\/3, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -30*t + 34*t - 2*h, 2*t = -h. Solve -c = -0*c - t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009502532 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c + 4*s + 16 = 0, -12 = 2*c + 3*s. Suppose c = k - 6 - 7. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63551807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4\/5 + 4184*k**3\/5 - 234869*k**2\/5 - 1526486*k\/5 - 2080008\/5 = 0.\nAnswer: -4, -2, 63, 4127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25977.\nAnswer: 3, 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4404*t + 115927 - 57959 - 57968 as q*t + o and give q.\nAnswer: 4404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -112*b**2 - 2. Let t(o) = 25*o - 37*o + 10*o + 4*o. Determine t(i(f)).\nAnswer: -224*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 = 16. Let h be 0 - (y + 2) - -2. Let s = -3 - h. Sort 0, -1, s in ascending order.\nAnswer: -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6340, 6314, 6288, 6262, 6236?\nAnswer: 6210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108123, 432439, 972965, 1729701, 2702647?\nAnswer: 3891803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:01 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0 + 0)*(-2*w + 0*w + 4*w) - 2*w**2 + 2 - 2 + 2 - 2*w**2 - 2 - 677*w**2 - 11*w**2 + 69*w**2.\nAnswer: -627*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = 688. Let n be 16\/(-56) - w\/14. Let p = 11 + 37. What is the greatest common factor of p and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86303672 to the nearest integer?\nAnswer: 9290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142 + 72. Let k = h + -160. Calculate the highest common divisor of 24 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 - 36*k - 497. Let u(n) = -5*n. Determine u(r(d)).\nAnswer: -30*d**2 + 180*d + 2485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-330))\/((-786)\/(-524)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (218\/(-84) + (-57)\/(-133))*(-14)\/26?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1029924*b**3*v**2 - 388*b**2*v + 1087*v**2 wrt b.\nAnswer: -6179544*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 not equal to -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 598675*q**2 + 598660*q - 1197340.\nAnswer: 5*(q - 1)*(q + 2)*(q + 119734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a factor of 27375392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34*-144984.\nAnswer: -49294.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 6 + -15 + 16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4137\/(-6698))\/(21\/((-9)\/3))?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1146 - -1158. Solve k + 1 = 5*q + 16, 4*q = -d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.27 + -0.56. Let q = 0.4 + b. What is q rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 6. Let d be (4\/5)\/(k\/65). Let f = -14 + d. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:31 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5135407810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371 and 1431000?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 50*v**2 + 161*v + 102. Let z be t(-53). Which is the closest to -9\/7? (a) z (b) 2 (c) -0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -229037 at most as big as -229028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137 and 3288?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 5\/2*d**2 + 7\/6*d**3 + 1\/12*d**4 + 0 + d. Calculate i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8789 - 8779. Calculate the greatest common factor of 2540 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q - 1. Let k be (-10)\/4 - (-3)\/6. Let r(o) = -o**5 - o**4 - 2*o**3 - 2*o + 2. Let g(b) = k*d(b) - r(b). Let g(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010 - 11101?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2 (b) -1070 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 55*t - 393. What is d(15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24669512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -31*o**2. Let g(h) = -9*h**2 + 8175658*h - 8175658*h. Determine g(i(j)).\nAnswer: -8649*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -4, -1109\/3, 0.4, 4 in descending order.\nAnswer: 68, 4, 0.4, -4, -1109\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o = 50*o - 36. Let t(s) = -10*s + 25. Give t(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 greater than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**5. Let k be 8\/(-60)*1*-10*3. Let j(x) = 4*x**5 + 9*x**2. Let b(a) = k*q(a) + j(a). Find the third derivative of b(d) wrt d.\nAnswer: 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 140 = -6*h, 2*h = 155*y - 152*y + 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*f + 0*f = 2553, -3*f + 1023 = 2*k. Let h(q) = 0*q - k*q**2 + 0*q + 508*q**2 + 1 - 2*q**3. Calculate h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-21 - -40) - (-6 + -43 - 0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 6155465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59512*o - 1774 = -59433*o + 1939 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 12. Let k = -3 - c. Let u = k - 3. Solve u = 3*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -411 + 488. What is the remainder when 232 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 5*i + i)*(-3*i + 2*i - i)*(0 - 1 + 2)*(715 - 353 - 718) to the form u*i**2 + q + t*i and give u.\nAnswer: -2136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*z**2 + 74 - 74 in the form w*z**2 + b*z + a and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*f = 204 + 898. Calculate the remainder when 300 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3720, -7358, -10996?\n\"Answer: -3638*i - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4993778 by 2.\nAnswer: 2496889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 20 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143747906 divided by 3.\nAnswer: -143747906\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/(-350)*1*(-6)\/26*(-14)\/9.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -16054557.8 and 981.\nAnswer: -16053576.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*h - 12, 2*z + 33*h = 29*h + 10. Let a(r) = 822*r**2 - 74*r + 74. Is a(z) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:23 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {t: 12, v: 2, h: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -118*y**3 + 2*y**2 - 277*y + 535. What is v(2)?\nAnswer: -955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.287 less than or equal to 40\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3440610 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f + 6 = 0. Let r = -3.9 - -4. What is the nearest to r in f, 1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kuujujku?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/5 (b) 0 (c) 2 (d) 106 (e) -4 (f) 605 (g) -3\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/5, 3\/8, -0.45, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9331450*f**3 - 105039*f**2 - 29 wrt f?\nAnswer: 55988700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 2*h - 2023 = 7*l, 2*l - 810 = -h. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412108696.\nAnswer: 2, 17, 1373, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 44?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 349*b**2 + 10*b - 19. Let o be 4*(49\/7)\/14. Is q(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - n - 3 - 2*n.\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -12\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 47. Solve 2*r - 2*i = -4, x = -3*r - r - 3*i + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxx when three letters picked without replacement from xshxxxww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 14822, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 12*x - 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*f - 103*f - 15052 = -16*f + 5558 for f.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/11 + 191965088*i\/11 - 4606324376355968\/11 = 0. What is i?\nAnswer: 47991272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 18 = -6. Let a be 30\/x + 2\/8. Suppose v**2 + v**2 + 2*v - a*v**3 + 0*v = 0. What is v?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-30))\/(1\/(-8))*(-144)\/4608\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 - 7*g - 9. Let h(l) = -5*l**2 - 12*l - 13. Let r(f) = 5*h(f) - 8*p(f). Suppose 0 = 3*b - 20 - 25. Let v = 10 - b. Give r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -80 + 9 + 6 - 11?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 30154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735 - n - 228 - 275 - 229 - 327*n**2.\nAnswer: -327*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7608 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + 85\/1173. Let q = 88\/161 + g. Let y = -6 + 5. Which is the closest to q? (a) y (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h. Let z(q) = 561*q. Determine z(v(t)).\nAnswer: -1683*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/79 + 83\/158. What is the closest to 2\/3 in s, 1\/7, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.84091 or -0.2?\nAnswer: 3.84091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 912983*i**5 - 36809*i + 10 wrt i.\nAnswer: 18259660*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*l + 15. Let x be ((-10)\/(-2) - 3)*(2 + l). Solve 2*c = -4*f + 5*f - x, -32 = -5*f + 4*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10733683 - 6103*i**2 - 10733683 - i**2 + 5*i**2 - 3*i**2 + 4*i**2 - 3*i**2 - 2*i**2 + (0 - 2*i**2 + 0)*(1 - 4 + 1).\nAnswer: -6099*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (2 - (2 - -2) - (553 + -546))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 7 = 3*c, 90 = -3*w + 1773*c - 1744*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 5*h - 5. Let k be x(-5). Let d be ((-48)\/20)\/((-6)\/k - 1). Is 6 a factor of (3 - 0)\/(d\/(-44))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 0*n - 16 + 16.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -2107587?\nAnswer: -3\/702529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 48*g + 46*g - 14 = 0, -3*g + 29 = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 932*a**2 + 942*a**2 - 1868*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-758266571\nAnswer: -758266571.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 61 + (-26 - -47 - 45)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 7*o - 2*r + 589458 = 0, 3*o + r - 442096 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62620098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/18*(-780)\/65?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136319 take away 496393398?\nAnswer: -496257079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99934 or -99933?\nAnswer: -99934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + o + 10 = 0, -o + 25 = 2*y - 21 + 56 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7105 divided by -4652?\nAnswer: -7105\/4652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -70448 divided by -4?\nAnswer: 17612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxlglbrrnlrnbnn. What is prob of sequence bllr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:09 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1079\/9 - -119. Sort -1, j, -4 in decreasing order.\nAnswer: j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 262*x**2\/7 - 578576*x + 556488\/7 = 0.\nAnswer: 18\/131, 15458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -17*s + 373. Calculate the remainder when 84 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.040412us?\nAnswer: 0.005040412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)*((h*h\/(h\/((h*h**2)\/h)))\/h)\/h*(h**(-2))**(2\/95) assuming h is positive.\nAnswer: h**(-479\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 1 + (5 - 5 + 6)*(0 + 0 + 1) + 0 + 1 + 1)*(2*x**3 - 2*x**4 - 2*x**3) to the form v + i*x**2 + k*x + f*x**4 + p*x**3 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1668719 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 2*h**2 + 2*h - 2. Suppose -9 = -3*n, 5*c + 0*c + 18 = -4*n. Let p = -11 - c. Let o = p - -7. Determine a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -494b (base 12) to base 9\nAnswer: -12305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, -1.66323, -902?\nAnswer: -1.66323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 26 - 371 = 4*t, -q - 195 = 2*t. Let x = -90 - t. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 - 4\/(-12). Let j(r) = -v + 4*r - 2*r - 6. Suppose -5*a + u = -35 + 4, 4*u = 4*a - 28. Determine j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let r be ((-54)\/36)\/(1\/8*-3). Suppose 0 = -r*m - c + 13, -6*m + 7*m = 2*c - 8. Solve p = -m*q - 5*n - 8, q + 4*n + 1 = 3*n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 45. Let g(f) = -21*f**2 + 191*f**3 - 190*f**3 - 14 + 39*f - 8. Let o be g(c). Put -1, -7, o in descending order.\nAnswer: -1, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.111 + 0.06. Let v = -0.022 + u. What is v rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhe when three letters picked without replacement from {e: 2, h: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -55 - 20. Let d be (1176\/20)\/(b\/50). Is d - (-5 + 3 - (-4)\/(-2)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 41*p**2 + 28*p + 62. List the prime factors of q(-11).\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 10*w**2 + w - 21. What is v(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1100) + 1)*4 + -1.\nAnswer: -40*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16475570 + 46?\nAnswer: 16475636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 118*g + 1869. Calculate o(132).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjjzmsmsfzmmwjjmm. What is prob of sequence zjsf?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e538 (base 15) to base 6.\nAnswer: 2042325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 34 = 11*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 5*j)*(311*j + 15 - 3 - 12) to s*j + v*j**2 + b and give v.\nAnswer: 1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j. Let w(k) = -k**2 + 26*k - 20. Give 4*n(o) - w(o).\nAnswer: o**2 + 6*o + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6073 = -19*h + 6562. Let v = -657 + h. What is the smallest common multiple of 4 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 19565826*y - 97829180.\nAnswer: 2*(y - 9782918)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, o: 4, n: 2}. Give prob of picking 3 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.1, -0.01019, -1.1 in decreasing order.\nAnswer: 3\/5, -0.01019, -0.1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/21 - -32*((-98)\/105 + 1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4882b3 (base 12) to base 4.\nAnswer: 10132332213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 28, -160, -10, -261, -2 in descending order.\nAnswer: 28, -2, -4, -10, -160, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132716 or 132715?\nAnswer: 132715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111000 + -10?\nAnswer: -10001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*b = -11 + 47, 0 = -5*i + 5*b + 50 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:54 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 826412. Let x(w) = -5*w. Give k(x(z)).\nAnswer: -5*z + 826412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -28\/79, 5, 0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2657 - -2655. Let a = 7 + -7.5. What is the second biggest value in a, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 13146759?\nAnswer: 2\/13146759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141234 is divided by 527.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743220.\nAnswer: 2, 5, 43, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 956 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(1 - 1 - l) + l - l + l + (2 + 1 - 1)*(-26*l + 3 - 2 - 8*l).\nAnswer: -66*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 61 = 7*x. Let n = x - -92. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**3 - 8*t**2 + t - 6. Let w be o(-3). Let f be ((-4)\/80*-5)\/(2\/4). Which is the nearest to -3? (a) 2\/13 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzipzpiizzpzzviii. Give prob of sequence pp.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1*(-15)\/(-45))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 435616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0809+10896.11\nAnswer: 10896.1909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443353 (base 8) to base 2.\nAnswer: -100100011011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 899 divided by -569?\nAnswer: -899\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 + -0.1. Let j = 99 + -99.51. Let s = f - j. What is the nearest to 0 in 2, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 55*b + 408. Let p be i(48). What is the highest common factor of 952 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1358 - -6837\/5. Let u = 10 - k. Let i = -2\/53 + 61\/212. Which is the closest to 0.1? (a) u (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*i = -205*i + 880. Calculate the highest common divisor of 418 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/50, -0.4, -5, 9\/4, 40, -3\/2?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 2)*-6 - ((sqrt(175) + -2*sqrt(175) - sqrt(175)) + sqrt(175)) - (-5*sqrt(84)\/sqrt(4))\/(sqrt(3) + 5*sqrt(3)*2))**2.\nAnswer: 144*sqrt(7)\/11 + 17676\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*d**3 + 2*d**2 - 41*d**3 - 37*d**3 - 1685*d.\nAnswer: d**3 + 2*d**2 - 1685*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 59 - 37. Let a = -238\/5 + p. Let j = -110 + 106. What is the second smallest value in j, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5834.3 - -5838.30015. Let n = -4 + h. Round n to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.0807ng?\nAnswer: 0.0000000030807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = -5*l + 3*x, -3*x + 424 = 3*l + 2*x. Let j = l + -129. What is the least common multiple of 39 and j?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -2095ed?\nAnswer: 209602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 4*w + 611. Let n be v(0). Suppose 5*j - n = 174. List the prime factors of j.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2 - -3)*6. Let w be 62\/6*81\/(-27). Let l = x + w. Which is bigger: l or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*o**3 + 7*o + 372*o**3 + 2*o + 3*o.\nAnswer: -3*o**3 + 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017322544178 to five dps.\nAnswer: 0.01732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/(872\/(-77390)) - -13?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -1\/12*c**4 + 3*c**2 + 6 + 3*c + 1\/2*c**3. Let f(r) be the first derivative of m(r). Calculate f(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.93 - 0.07. Let z = k + 4. Which is the biggest value? (a) 0.1 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 11*n - 24*n**2 + 8*n. Let t(d) be the first derivative of d**5\/30 - 7*d**2\/2 + 6. Let s(y) be the second derivative of t(y). What is s(u(l))?\nAnswer: 1152*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d**2 - 25*d + 8*d + 5 - 7 - 5*d. Let c be 46\/(-4) + 2\/(-4). Let w(s) = -4*s**2 - 9*s - 1. Determine c*w(o) + 5*l(o).\nAnswer: -2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (7 - 5) - (-16 + -2 - -22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-147)\/105*-5))\/(504\/(-12))?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q = 2*b - 20, b - q - 7 = 0. Let z(o) = -2*o. Let h(m) = -m. Let d(w) = b*z(w) - 12*h(w). Determine d(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-1*sqrt(17) + -4) - sqrt(17))*4.\nAnswer: 16 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (91\/189)\/(-13)*-6*2\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/4 - 47*l**3\/2 - 390*l**2 - 4025*l\/2 - 13625\/4 = 0?\nAnswer: -5, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 20*h - 1. Let w(u) = -5*u**2 - 111*u + 6. Let b(r) = -11*a(r) - 2*w(r). Let l(s) = -s. Let q be l(0). Give b(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126635 is divided by 9644?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 6036.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/20 - 3*n**4\/4 + n**3\/3 + 6*n**2 - 21*n + 8. Give h(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.62 + -3.32. Let x = n + 3. Let p = -89\/18 + 58\/9. Sort x, p, 4 in decreasing order.\nAnswer: 4, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 271 = -l - 3*s, 3*l = 5*s + 809. 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 ten millions digit of 152445587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3726841, 14907377, 33541607, 59629531, 93171149?\n\"Answer: 3726847*z**2 - 5*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*(-780)\/(-338)*13.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9007?\nAnswer: 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 65. What is the highest common divisor of z and 1424?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c6 + 3?\nAnswer: -4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 8 + (8 - 7 + 7)*(-3 + 0 + 4))*(-w**5 - w**5 + w**5).\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*z = -2, -z - 1 + 3 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28588739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 - -4 - (-5 + 3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222 + -218. Solve -11 = -f*y - 2*h + 9, 0 = y - h + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85156, -171143, -257130, -343117, -429104, -515091?\nAnswer: -601078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50783, -50179, -49233, -47939, -46291, -44283?\nAnswer: -41909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {a: 1, y: 1, t: 1, k: 2, e: 1, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 89?\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 47678*c - 3. Let g(w) = -2*w. Determine g(v(a)).\nAnswer: -95356*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.361 - 4.737. Round t to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 13 - 33 = -d, 5*d - 3*x = 10. What is the greatest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l - 30*l - 55 = 0. Suppose 0 = -6*g - l*g + 759. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -5, -0.7, 16, 2\/17, 3, 2\/663?\nAnswer: 2\/663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 85 (b) -57 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - w**2 + 3*w**3 - w**3.\nAnswer: 2*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/6 - (-4)\/6. Let x(u) = -u**3 + 8*u**2 + u - 8. Let l be x(j). Suppose -4*o - 1 = -4*s - 17, l = 5*o + 5*s - 30. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x - 3. Let u be 18 + -12 + (-6)\/2*1. Suppose u*q = -4 - 5. What is c(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o*q**2*t - 2*o*q*t*x + 111*o*t*x + 17585*o + 2*q**2*t + 58*q**2*x - t wrt x.\nAnswer: -2*o*q*t + 111*o*t + 58*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + 184. Let b = g - -70. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -613237 or -613232?\nAnswer: -613237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.978 - -9.977995077. Round p to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*z**3 - 4 + 4 - 3*z to the form n*z + h*z**2 + d*z**3 + w and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 - 23428*x**3 - 93588*x**2 + 351252*x + 421416 = 0. Calculate x.\nAnswer: -5853, -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 229*w**2 - 102*w - 252. Is t(121) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13818776 is divided by 575782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00134077581 to six dps.\nAnswer: -0.001341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 66*l**5 + 78*l**4 - 66*l**3 - 78*l**2 + 27*l. Let q(c) = -5*c**5 - 6*c**4 + 5*c**3 + 6*c**2 - 2*c. Let z(u) = -27*q(u) - 2*x(u). Factor z(t).\nAnswer: 3*t**2*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 7*h**2 - 8*h - 11. What is the remainder when f(9) is divided by 3\/(-6)*80\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126*c + 204*c + 164*c)*(4*c - c + 14*c).\nAnswer: 4114*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 40*n + 103. Let x be o(-40). What is the highest common factor of x and 3193?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 20 - 56. Suppose -12*f + y*f + 2118 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2))**(17\/6)\/(a**(-2\/11)*a)**(-22))**(4\/5) assuming a is positive.\nAnswer: a**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*y - 114. Suppose -3*r = -0*r + y. Let o = 28 + r. Solve 0 = -5*u + v + 2 + 25, 5*v - o = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 3840398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -28.5. Let f = -7.51 + t. What is the second biggest value in 1\/5, f, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 377 - 431.15. Let k = -55 - n. Round k to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.55 + -0.45. Let b = 0.607 - -0.023. Let u = b + 2.37. What is the nearest to 0.1 in 4\/3, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -6*d + 18. Which is the nearest to -1\/4? (a) d (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/18 - (-8)\/6. Suppose -2*a + c*o - 8 = 0, -o = -2*o - 2. Let k(p) = -11*p + 13. What is the units digit of k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-42) - 66\/91. Let b be ((-668)\/(-140) - 2) + -3 - (-38)\/285. Put b, r, 27 in ascending order.\nAnswer: r, b, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51536 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4066285 tonnes in nanograms?\nAnswer: 406628500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 4. Suppose g - 3*g = -4. Let q(o) be the first derivative of o**2\/2 + o + 5862. What is g*q(x) + f(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(480\/(-70))\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 - 3413\/22. Let b = 97\/66 + v. Is 0 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiluk. Give prob of sequence ikiu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 10, -0.3, 65?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -1909 (b) -4 (c) 213\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 9*w - 10. Let g = -148 - -158. Let v be (-36)\/(-90)*g*1 + 3. Calculate b(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/281 + 6497\/9554. What is the common denominator of -63\/260 and i?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 + 1. Let g be a(-1). Factor -4*t**2 + t**2 - 12 + g*t**2 + 3*t**2.\nAnswer: 3*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 3294528.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4263*b**2 + 4262*b**2 - 111 + 3*b**3 - b**3)*(5 + 6*b - 5).\nAnswer: 12*b**4 - 6*b**3 - 666*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.246, -0.3, 2\/9.\nAnswer: -0.3, -0.246, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 16*v - 85*v**2 + 81*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g - 30*g = 78 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 701 + -487. Suppose -3*f + d = 4*i + 56, -f = 4*i - 162. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.7 - 8.75375. Let u = -10.053 - -10. Let g = u - a. Round g to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygydggyy. What is prob of picking 2 y and 1 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujjyjuyujjuj. Give prob of sequence juyy.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 187 - 1 - (-12 + 1 + 7). Suppose -761*g = -766*g + y. What is g rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 19818.\nAnswer: 158544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10779300 rounded to the nearest 10000?\nAnswer: -10780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 2*c + 10. Let f be l(0). Suppose -5*u - 5 = -f*u. Let s = 5\/8 + -7\/24. Sort s, u, 5.\nAnswer: s, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001569537 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(6\/(-2)) - 0. Suppose z = 5*p - 578. Suppose 668*k - 679*k = -99. What is the highest common divisor of p and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12. Let j(h) = h - 2. Give 6*j(a) + 2*v(a).\nAnswer: 6*a + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 8:23 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -7.5. What is the closest to 2 in i, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/14 and -101\/115495048.\nAnswer: 808465336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:33 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2*o**4 + 4*o**3\/3 - o**2 - o + 3. Let r be h(-4). Let x = -6728 + 6781. Calculate the greatest common divisor of r and x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 5*z + 3. Let s be v(-5). Suppose 41 - 53 = -s*u. Which is bigger: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -6281\/2, -2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76507, 76509, 76511, 76513?\n\"Answer: 2*u + 76505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 6*t + 4. Does 8 divide b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k - 2240 = 54*k + 3*a, -2870 = -5*k - 5*a. What is the remainder when k is divided by 362?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64740)\/(-1016145) - 10\/(-965)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -11*w - 35 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*u**2 - 30*u**2 + 8*u + 0*u - 8*u.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10004 + -163?\nAnswer: -10167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2144 - -10a?\nAnswer: -2037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 83672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/7, 3\/5, 157, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 6) - (3 + -2 + 2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -73. Suppose 18 - 10 = h*b. Solve -14 = -b*s - w, 0 = 2*s - 2*w - 1 - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 24*z - 23. Let m be n(-23). Suppose 5*p + 4*w - 868 = m, -710 = -4*p - 0*p + 2*w. Suppose -p = -10*c + 8*c. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 1, x: 1, w: 1, v: 7, j: 4}. Give prob of picking 1 q and 1 x.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235767177 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*4.256\nAnswer: 1.7024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 1. Let r(g) = g**2 - 6*g - 8. Let y be r(8). Let i be (-4)\/5*20\/y. Determine u(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l + 409 = 4*w, 5*l - 359 = -4*w. Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.4209 + -21.56. Let i = -75 - -74.14. Let m = n + i. Round m to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*((f\/(f**(-1)\/f))\/f)\/f)\/f)**(-1))**(-4\/17)*(f**(-9)\/(f**(-7)\/f))\/(f**(-9)*f**(-4\/5)) assuming f is positive.\nAnswer: f**(768\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 + 194. Suppose 2*a = -w*m + 49, -m + 3 - 102 = -3*a. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*p - 121*p - 543 = 177 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z**3 - 199*z**2 - 18*z - 52. Determine l(20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -423. Suppose 0 = -357*z + q*z - 20. Suppose 0 = -3*m - m + 2*p + 108, 4*m = 4*p + 116. What is the greatest common factor of m and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 + 55. Let j = -1634 + 1643. Calculate the highest common factor of j and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 39, 137, 327, 639?\n\"Answer: 5*w**3 + w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5131175 millennia in months?\nAnswer: 6157.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d - 2*d - 3*d. Let x(p) be the first derivative of -p**2\/2 - 15528. Calculate x(b(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3400*q + 4425*q**2 - 1663*q**2 - 3426*q + 6826*q)*(q + 6 - 6) to the form s*q**2 + y*q + z + g*q**3 and give g.\nAnswer: 2762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(35)\/sqrt(20)))\/((sqrt(1440)*1 - sqrt(1440))*-2 - sqrt(1440)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4190*l - 33508. Let q(m) = -2*m**2 + 4*m - 4. Let z be q(5). Let b = z - -48. Calculate the smallest common multiple of a(-8) and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142\/(710568\/973)*(-30)\/(-14)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17800.113873 and -1066?\nAnswer: 16734.113873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 119153238?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-6) + 0 - (-260)\/(-195). Sort k, 0, -12.\nAnswer: -12, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 53 = -4*t, -2*o - 2*t = -7*o + 155. Suppose 3*c + a + o = 0, -11 = -0*c + c + a. Let r = 27 + c. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*2 + (-2 - -2). Suppose 49*v = 65*v + 34*v - 150. Let j be v*11\/(11\/l). Put -2, j, 5 in ascending order.\nAnswer: -2, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-32))\/((-9)\/6). Let b(l) be the third derivative of 0 + 0*l**3 + 1\/20*l**5 + 0*l - w*l**4 + 2*l**2. What is the second derivative of b(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1397 + 1867 = -5*v. What is the common denominator of v\/141 - (-5)\/((-1275)\/4) and -29\/6?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 0.2 (b) 1\/7 (c) -2\/17 (d) 35 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539628401 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347977*y + 347861*y = -1972 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 741, -5, -0.06, -0.03, -1\/10 in descending order.\nAnswer: 741, -0.03, -0.06, -1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiz when three letters picked without replacement from qzqqqqqyqoqriqiiqqq?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -374\/3 (c) 1 (d) 0.18 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-5 + -1) + (-6)\/20. Let k(b) be the second derivative of 0 + 0*b**2 + 2*b + 1\/4*b**4 + o*b**5 + 0*b**3. Find the third derivative of k(i) wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/10, 4, 0.01, -2\/13, 0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/30)\/(2\/(-9)). Let r be 3\/8*t\/(-9). What is the third smallest value in r, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 2*s + 2*s)*(68*s - 6 - 49*s + 87*s + 12*s).\nAnswer: 236*s**4 - 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l - 1\/2*l**4 + 0*l**2 + 4\/5*l**5 - 4\/3*l**3 + 1\/3*l**6 - 2. Solve j(c) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5757 = -0*y + 5*y + o, -y = 5*o - 1161. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**6\/6 - 23*i**4\/3 + 89*i**2\/2 - 5*i + 31. Find the first derivative of c(b) wrt b.\nAnswer: 20*b**3 - 184*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.21 and -6182934202.\nAnswer: -6182934202.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -9)*-15 + -9. Solve -14*n + 5*n = -r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 2*s**2 + 3*s**2 + 23.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)*z**(4\/5)\/z)\/(z*z**(3\/5)*z)**(1\/51) assuming z is positive.\nAnswer: z**(-1021\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 5:59 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -34) + (-13 - 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.331594 rounded to two decimal places?\nAnswer: 31.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -50*(-13)\/(-78) + (-140)\/(-35)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 5*d - 12 = -11*w, -4*d = 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*p + 16, 2*r - 3*p = 4*r + 33. Let n be (-10 - r)\/(1\/(-2)). Suppose 5*j - n = 3. Which is the nearest to -1? (a) j (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 3) in base 10?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 5\/3, 0.4, -3, -7, -288?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*w**6 - 536*w**5 + 17824*w**2.\nAnswer: -720*w**3 - 32160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40.70388 millilitres?\nAnswer: 0.04070388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 186404 + -118946. What are the prime factors of k?\nAnswer: 2, 3, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + 6)*(-2)\/(-20)*-30. Suppose 4*r - 9*r + 20 = 0. Solve r*d + n = -3*u, -4*u - u + 5*d + 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2279498, -4558993, -6838488, -9117983?\n\"Answer: -2279495*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-3)\/l)\/l)\/l)\/l)**23\/(l**11*l**(-11)) assuming l is positive.\nAnswer: l**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 4*m + 16, -604*u + 601*u + m = 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/120 + j**5\/30 + 7*j**4\/24 - 4*j**3\/3 + j**2. Let y be w(3). Solve -9*c + y*c = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2991850 and 16.\nAnswer: -47869600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957901786.\nAnswer: 2, 478950893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 2*o**2 + 2*o - 1. Let g(j) = -j - 1. Let v be g(-3). What is the units digit of h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -0.0047 (c) 3\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 4*x**2 + 4*x + 3. Let j be g(-3). Let f(v) = -55*v - 4941. Let u be f(-90). Calculate the highest common factor of j and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*n = n - 24, -w + 5*n = -18. Let s(b) = b + 12. What is the lowest common multiple of 4 and s(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - c**3 + 3*c + (3*c - 3*c + c**2)*(0*c + 0*c + 2*c) + c**3 + 0*c**2 + 0*c**2 + c - c + c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20, 63, 1 in ascending order.\nAnswer: -20, 1, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1374, -1373, -1372, -1371?\n\"Answer: s - 1375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 3 = 19*g. Suppose 0 = 3*c + g - 15. Solve 2*m + 9 = -6*q + 3*q, -c*q - 19 = 5*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**4 + h**3 + 2*h + 1. Let o(z) = 4*z**4 - 6*z**3 - 12*z**2 + 10*z + 3. Let u(f) = 3*j(f) - o(f). Let u(g) = 0. What is g?\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2158 + -2082 + (-63 - -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f + 10*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -348 + 374. Let l(y) = -13*y + 26*y + 155*y + w*y. Let n(o) = -2*o. Calculate l(n(u)).\nAnswer: -388*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, y: 2, a: 3}. Give prob of picking 2 f and 1 a.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 3*f**2 + 10*f + 5. Let q be o(-5). Suppose 0 = 3*y + 4*c - 3*c - 13, -2*y - q*c - 13 = 0. Is y\/(-27) - (-5264)\/36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1209, 2418, 3627?\n\"Answer: 1209*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 0.08, -3\/5, -2, -4 in increasing order.\nAnswer: -4, -2, -3\/5, 0.05, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8d4c (base 16) to base 4\nAnswer: -20311030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 31*x**2 - 60*x + 223. List the prime factors of y(-30).\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 360014256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*t = 387. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*o**2 - 2*o**2 - o**2)*(-2 + 2156*o**2 + 2148*o**2 - 4302*o**2 + 3*o) in the form s + x*o + r*o**3 + k*o**4 + d*o**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p + 0)*(2*p - 4*p**2 - 34*p**2 - p**4 + 48*p**2).\nAnswer: p**5 - 10*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 7*g - 6. What is the tens digit of b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 242 - 79. List the prime factors of d.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 275974?\nAnswer: -275977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2970 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4343 divided by 8431?\nAnswer: 4343\/8431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-14)\/t*t*t**13\/t*t*t**6*t**12\/t assuming t is positive.\nAnswer: t**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 11?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -0.5, 0, 21\/8, 36, -0.145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {n: 9, x: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 26, -3, 34 in ascending order.\nAnswer: -5, -3, 9, 26, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4671 and 2619.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 638, 615, 576, 515, 426, 303?\n\"Answer: -q**3 - 2*q**2 - 10*q + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = 4*g. Let i be (-4)\/6 - (3 - g). Let r = 4 + -4. Which is the nearest to -1? (a) i (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 187967 and 9.\nAnswer: 1691703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772800333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 1 + 82*c**2 + 3*c + 0*c.\nAnswer: 82*c**2 - 5*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862978.14 seconds to hours.\nAnswer: 239.71615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 1\/4*f**4 + 2*f**2 + 8 - 2*f**3 + 4*f. List the prime factors of c(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*h**5 + 2*h**4 - 13*h**5 + 24*h**5 + (2*h**4 - h**3 + h**3)*(2 + 1 + 2*h - 4).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b + 12. Let m(g) = -g - 1. Let f = 1278 + -1272. Calculate f*m(p) - r(p).\nAnswer: -2*p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 1585*k + 110178. Determine g(-77).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1287, -2\/57, -0.4, 1\/9 in increasing order.\nAnswer: -0.4, -2\/57, 1\/9, 0.1287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/12 - 22\/(-4). Suppose -x = f - 38 - v, -164 = -3*x + 5*f. Suppose 45 = 2*w + 3*n - 2*n, -2*n + x = 2*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 1. Let h(i) = 40*i + 6. Let z be h(2). Let l = z + -80. Let b(k) = -10*k + 8. Calculate l*n(m) + b(m).\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*g + 165 = -180*g. Suppose 95 = 4*y + 7. What is the highest common factor of g and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*i + 2694, -i = -2*o + 1344 + 3989. What are the prime factors of o?\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 3) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, 4, -2\/13, -188, 2\/3?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2610\/495551, -1 in decreasing order.\nAnswer: 2610\/495551, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1319071 by -1.\nAnswer: -1319071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**6\/180 + 44*z**3\/3 + 27. Let q(m) be the third derivative of r(m). Let b(h) = 2*h**2. Give q(b(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*c - 22*c + 21*c)*(0*c + 3*c - 4*c) - 4*c - 2*c**2 + 4*c.\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210200 (base 3) to base 7.\nAnswer: -1464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62174345.\nAnswer: 5, 43, 71, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*a = -189*a + 54*a + 612 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 - 16*o**2 + 3*o**2 - 2*o**2 + 2*o**2 + 2*o**2 + (4*o - 2*o - 3*o)*(2 - 2 + o) + 2*o**2 + 0*o**2 - o**2)*(o - 2*o + 4*o).\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 + (-6 - 2) - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + w + 6*w)*(0 - 2 + 1 + (1 + 1 - 1)*(4 - 1 - 1) + 0 + 1 + 0) as y*w + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 6. Let o be a(8). Let h be (-1 - -4)\/(-3)*o. What is the highest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4255047 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/378 and -115\/2016.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120900795 - -187?\nAnswer: 120900982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 129669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3144764\/(-228249) + 10\/(1\/6*4)?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2. Let u(m) = 117*m**2. Suppose 6*w = -2*y + 4*w + 44, 5*w + 106 = 3*y. Let r(p) = -9*p**2. Let d(v) = y*r(v) + 2*u(v). Calculate d(z(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -199*j**2 + j + 109 + 695*j**2 - 497*j**2 as x*j**2 + r + u*j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -552 + 191. Solve h*g = 15*g - 4*v + 12, 18 = -2*g + 4*v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 + 125. Let o(p) = 0 - p - h*p - 5 - 3*p. Let s(f) = -f + 1. Let n(d) = 17*d + 7. Let c(b) = n(b) + 4*s(b). Calculate -3*c(x) - 7*o(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -107, -128, -93, -2, 145, 348, 607?\n\"Answer: 28*h**2 - 105*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*d*g**4 + 6*d*g - 257*d with respect to g.\nAnswer: -40*d*g**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8*4 + 1. Let p(y) = 0*y - q + 2*y + 11. Is 8 a factor of p(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**4\/24 + l**3\/3 - 5*l**2. Let b(v) = -v - 5. Give 2*b(t) + 5*u(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13 + 2\/13*m**2 + 0*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbbhhhhwbh. What is prob of picking 2 h and 2 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 164.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82.4 + 82. Which is the closest to -1? (a) -0.6 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 889, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59496 and 21708.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*b + 54 + 49 - 267*b.\nAnswer: -b + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/((-198)\/(-60))*9. Let f be (-11 - -16) + u\/2. Solve -n = 4*n - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -253936648*k*x**5 - 16499412*k*x**2 - 4*k + x**2 wrt x.\nAnswer: -15236198880*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c**4 + 27 - 7 - 16 - c**2)*(49*c + 9 - 9).\nAnswer: -490*c**5 - 49*c**3 + 196*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - (-5 + 0 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3591)\/6)\/7)\/(8154\/5436)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -17) + -45 + -21?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -206\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/(-20) - (-4 - -1). Suppose -4*c = 2*h + h - 74, h - 10 = -5*c. Suppose -s*r + h = -4*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -5, -32, -4835 in decreasing order.\nAnswer: 5, 4, -5, -32, -4835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, -0.8, -4, -2.6, 16?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 590*i - 17405.\nAnswer: -5*(i + 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1548*s + 246. List the prime factors of i(4).\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175010007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/16488 and 77\/4122.\nAnswer: 16488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2712*k + 2711*k = t + 8, 42 = -3*k + 25*t - 22*t for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639 divided by 3.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.019 - 0.019. Let d be (17 - -1)*(-165)\/2475. What is the closest to -2\/5 in d, -4, 5, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67920 = 9597*b + 72161 + 15057 + 161563 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255047*v**3 - 976*v**2 + 2*v - 2?\nAnswer: 1530282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119219844 divided by 4.\nAnswer: 29804961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Suppose -2*a + 18 = 4*i, -4 + 0 = -2*i. Suppose -a*l - 361 + 1131 = p. Calculate the highest common factor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/(t*t*t*(t*(t*(t**(-1\/9)*t)\/t)\/t*t)\/t))**(-5\/3) assuming t is positive.\nAnswer: t**(535\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28962152 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2. Let c(n) = 2 + 29*n**2 - 41*n**2 - 2. Determine c(q(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.59 - -0.79. Let h = 0.1 + -0.3. Let w = h - b. Put -0.2, w, 0.3 in decreasing order.\nAnswer: 0.3, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let i = w + 3. Let j = 1625 + -1624. Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 2*d**3 + 2*d**3 + d**3.\nAnswer: 5*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -38. Suppose 3*v - u*v + 7 = 0. Solve 3*j = -5*q + 6*j + 13, 3*j = 2*q - v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 greater than or equal to 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d. Let r(j) = 3*j**2 - 420581*j - 1. What is b(r(f))?\nAnswer: -33*f**2 + 4626391*f + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/4 of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let w = -2 + 5. Let f be (3\/(-6)*w)\/6. Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3328?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*t**3 - 531*t**2 + 531*t**2 + (t**2 + t - t)*(0*t + 3*t - t) + t**3 - 2*t + 2*t + 4 + 2*t**3 - 4 as n + k*t + a*t**2 + q*t**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from kjgbmmmmkmmmbmj.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10478?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(125) + 2)*-6)**2.\nAnswer: 360*sqrt(5) + 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*w + 18, u + w - 4*w - 13 = 0. Let i be 16\/(-56) - 23\/(-7). Suppose 4*k - 292 = -v, i*k - 319 = u*v - 81. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.7, -0.2, 23, 9\/8, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2590538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*u + 7*u + 3*u)*(5*u + 19 + 26 - 44)*(-3*u - u + 0*u).\nAnswer: -540*u**3 - 108*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 3486.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 261456 to the power of 1\/2, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74481 + 1?\nAnswer: 74482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35748?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -21*o**2 - 6*o - 6. Let a(c) = -4*c**2 - c - 1. What is -22*a(f) + 4*i(f)?\nAnswer: 4*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -8, -33, -88, -185, -336, -553?\n\"Answer: -2*n**3 + 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-18)\/(-15))\/(4\/(-40))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 421 - 755. Let w = o - -333. Which is greater: w or -0.0289?\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*p**2*z - 24791*p**2 - 83327*p*z - p wrt z?\nAnswer: -15*p**2 - 83327*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 3*t - 3*t)*(-15 + 4 + 21).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 4. Let g(p) = p**2 + 4*p - 4. Let v(t) = 2*t**2 + 7*t - 7. Let f(o) = u*g(o) - 3*v(o). Give f(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826 + (2\/(-6) - 18\/27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 3584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:10 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3859b82 (base 12) to base 5\nAnswer: -10313211042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 2\/3, 5, -4.86, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 - -182. What is the remainder when n is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-32) - (-2)\/(-8)) + -75. Let o = -74 - r. Let l be (27\/(-63))\/(138\/4). Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2901 and 30129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 4*w - 4*w. Suppose 6*k = 3*k + 12. Let l(s) = -5*s**2. Let d(z) = 6*z**2. Let f(v) = k*l(v) + 3*d(v). Calculate u(f(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.12822 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + 0 + -1) - (-48 + 43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -2. Suppose 420*t - 116 = 418*t. What is the remainder when t is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -10 + 9, 5*t - 2*l = 17 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170 + (69 - 271) + 125?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*o. Let s be ((-9)\/(-6) - 2)*o. Solve s + 4 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Suppose -a + g = -10, 0 = -2*a + f*g - 4*g + 29. Let q = 27 - a. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/15)\/((-1)\/5). Suppose -13 = -2*p - 3. What is the biggest value in -4, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 28693?\nAnswer: 23\/28693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(96))\/(sqrt(9)*1*-2) + ((sqrt(4235) - sqrt(4235)*2) + sqrt(4235) + sqrt(35) + sqrt(35))\/(sqrt(245)*1) + 0.\nAnswer: 9*sqrt(7)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-4) - -2)*28. Let q = -16 - v. What are the prime factors of 3\/(-2)*(q + -6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3)*6 + (-5*(-2 + sqrt(13)) - sqrt(13)) + 3)*-3)**2.\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1768 + 1990 = -37*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 213*h**2 + 4862*h - 10. Calculate z(26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 7*y - 2. Let n be a(-5). Let u = n + -5. Let q = 3 - 4. Sort q, -2, u in increasing order.\nAnswer: -2, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6682672117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(121) - (1*sqrt(121)*-3 + sqrt(121) - sqrt(121)) - (4*sqrt(121)*-1 - sqrt(121))))\/(-3*-1*sqrt(176)*6).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) + 69\/21. Let w = 99 - 97. Solve -5*y + 3*u + 10 = 0, 0 = 2*y + w*u + 15 - n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Suppose -6*c = -7*c - 2. Let r be ((-32)\/(-280))\/(c\/(-5)). Sort r, g, 3 in decreasing order.\nAnswer: g, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 109113, 220194, 331275, 442356, 553437, 664518?\n\"Answer: 111081*v - 1968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1120*g - 4*g**3 + 16*g**3 + 11*g**2 - 2242*g + 1122*g as n*g**3 + l*g + v + p*g**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0993 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s**1*s)\/s))**(2\/177)*(s**7\/s)\/s*s\/(s\/(((s*s\/(s\/s**5))\/s)\/s)*s) assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19205.00000049922 + 19205. What is d rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3247*j = 3358*j - 1110 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 6*s**2 - 6*s - 21. Let o be a(-14). Suppose 4*l = -2*i - i - o, -2*l + 2*i - 2170 = 0. What is l rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/16)\/((-2)\/(-20)). Let q = x + -283\/44. Let n = 52 + -45. Sort n, q, -6\/7 in ascending order.\nAnswer: -6\/7, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2 + (32\/4)\/8*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3622*b*y**3 - 3*b*y**2 + 8847*y**2 - 1 wrt y.\nAnswer: -21732*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -46. Sort 5, d, -1.\nAnswer: -1, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**6\/v)*(v**(2\/3)*v)\/v)\/(v*(v\/v**1*v*v)\/v*v*v)**(2\/27))**14 assuming v is positive.\nAnswer: v**(-1372\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51416140 a multiple of 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 54, 93, 132, 171, 210?\n\"Answer: 39*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + h = 0, -3*h + 3 = 4*y + 1. Suppose -2*c = 2*c. Solve x = -5*k - y, 2*k + 4*x - 2 - 8 = c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((6*(1*sqrt(156) + sqrt(156)) + sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156) - 2*sqrt(156)*4)\/(sqrt(144)\/(-5*sqrt(12))*-4).\nAnswer: -5 + 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 6562.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-60) + (-167)\/195)\/((-2)\/13). Solve -4 = -r*b + 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*f + 4*t, f + 7051*t + 7058*t = 14105*t - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 54 = -6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100648 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 126*r**3 - 6885*r**2 - 65892*r.\nAnswer: 3*r*(r - 76)*(r + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n = 11*n + 14*n - 80 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5 - 16 - 43938*l + 9.\nAnswer: -43938*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -46217*g + 46197*g. Let l = -3.7 + 4. Which is the nearest to 2\/3? (a) g (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260905?\nAnswer: 5, 52181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1248 by 416.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10821 = -173*t - 2690 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 125. Let s = f + -57. Find the second derivative of 411*i**s - 378*i**2 + 13*i + i + 24*i wrt i.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(-7)*h)\/(h\/(h\/(h*h**(-2\/23)))))\/(h*h*h*(h\/(h*h\/(h\/(h**(-1\/4)\/h)*h))*h)\/h*h*h)**38)**44)**(-7\/2) assuming h is positive.\nAnswer: h**(996765\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.3, -1, -7, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 434186491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*g*i**3 + 8*g*i**2*y - g*y**2 - 3*g - 7*i**3*y - 2*i**3 wrt y.\nAnswer: 8*g*i**2 - 2*g*y - 7*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1726 and 16.\nAnswer: 13808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 551, 556, 571, 602, 655?\n\"Answer: k**3 - k**2 + k + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3978*f - 4000*f + 88 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489293 is divided by 142?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*q - 3*q - 3*q)*(2*q**2 - q + q) + 0*q**3 - q**3 + 2*q**3)*(-6 - 29 - 21).\nAnswer: 168*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 13*l - 15. What is the nearest to -1\/3 in -2, 1\/5, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -193, -289, -385, -481?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 226524530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5 + 44*t**4 + 26*t + 4 + 11*t**5 + 0 + 76*t**3 + 64*t**2 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 357105*p - 898847?\nAnswer: 357105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21448 + 21451. Solve -123*u = -128*u - 2*s - 6, -f*s = 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10062, -10066, -10072, -10080, -10090, -10102, -10116?\nAnswer: -10132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*l - 6*l**2 - l**2 - 37*l**2 - 18*l**2 wrt l?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.7 + 2.8. What is the smallest value in -2, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {q: 3, g: 1, s: 12}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -109*y - 10085. What is g(-91)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**7\/42 + 19*u**6\/30 + 39*u**5\/10 - 35*u**4\/3 - 100*u**3\/3 - 570*u. Find b such that v(b) = 0.\nAnswer: -10, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 140*w - 14*w - 93*w + 539 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 7*c + 6. Let i = -20 + 14. Let j be q(i). Is j at least -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46.1 - -44. Let x = 1 + s. Let f = -0.8 - x. Which is the nearest to f? (a) 5 (b) -2\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 42. Let v(u) = u - 3. Suppose -z + 4 = -5*z. Let l(w) = -1. Let r(s) = 2. Let d(n) = z*l(n) - r(n). What is b*v(o) + 6*d(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 8004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 5. Suppose m = 3*q - 14. Let w(j) = 11*j + 8. Let z(p) = -9*p - 7. Let b(v) = 5*w(v) + 6*z(v). Calculate b(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 806, 1692, 2940, 4556?\nAnswer: 6546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/9)*w*w\/(w\/w**(-10)))\/((w\/(w*w\/((w**(4\/7)*w)\/w))*w)\/((w\/(w*w**6))\/w)))**(-2\/101) assuming w is positive.\nAnswer: w**(1934\/6363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.78 + -2.22. Let m = -67 + 67.3. Which is the nearest to 16\/5? (a) x (b) -0.3 (c) m (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -8*t - 1\/15*t**5 - 4*t**3 - 7\/6*t**4 + t**2 + 0. Factor h(w).\nAnswer: -4*(w + 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -12*p - 33. Let r be f(0). Let o = -131\/4 - r. Let u = 142\/3 + -48. What is the nearest to u in o, 1\/5, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 425? (a) -0.1 (b) -0.5 (c) -1152 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -519933 + 3?\nAnswer: -519930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/19398 and 25\/6.\nAnswer: 19398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*w + 2*p, -1 = -4*w + 2*p + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87488067 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: In base 14, what is -67d - -606?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*y + 46, i - 2*i - 2*y + 18 = 0. Find the first derivative of -x**2 - 2*x**2 + 233 - 19*x + i*x - 4*x**2 - 3*x**2 wrt x.\nAnswer: -20*x - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.154305l?\nAnswer: 6154.305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 9*a - 225. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*sqrt(17) + sqrt(1088) + 2.\nAnswer: 4 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4999 + 4995. Sort 0.07, y, 2\/21, 6\/5, 0.5 in decreasing order.\nAnswer: 6\/5, 0.5, 2\/21, 0.07, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(-6)*l)*l*l)\/l*l\/l**(-6))**(-8\/3) assuming l is positive.\nAnswer: l**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 17*i - 13. Calculate p(-13).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -72*c - 288. Is 69 a factor of r(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -64442, -1, 62 in ascending order.\nAnswer: -64442, -3, -1, 1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37325 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0 + a + 9*a**3 - 34\/5*a**2 + 2\/15*a**4. Determine f so that d(f) = 0.\nAnswer: -34, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 3*u**2 + 4*u**2)*(-467657 + 1610*u + 20471*u - 5390*u + 467657).\nAnswer: 33382*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 3052299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 404 - 400. Let d be ((j - 1) + -13)\/((-50)\/60). Let t = 1 - 1. Solve t = -2*y - y + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 - 15*d\/7 - 2.\nAnswer: -(d + 1)*(d + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + -4360?\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, 4, -48\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20860 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -7651?\nAnswer: 3\/7651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 3*r**2 - r + 6. Let n be q(-4). What is the highest common factor of n and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5) + 78\/(-195)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Let h(i) = 2*i + 5. Let d be h(-3). Is c at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -171, -390, -705, -1122?\nAnswer: -1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/58281317 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let l(g) = 1463011*g - 1. Calculate w(l(k)).\nAnswer: -1463011*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 371 - 367. Which is the closest to 0.1? (a) 0 (b) -0.8 (c) -3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - (-1565)\/35. Let c = 66 + -50. Calculate the remainder when 55\/(-2)*(-72)\/v is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 256 + -30. Suppose 0 = 6*c - 8*c - 6. Is z\/(-2 + 1 - c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 12*k**2 + 2*k - 16. Give u(-7).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013402 is divided by 181?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 11*x + 0*x)*(114*x**3 - 40*x - 111*x**3 - 2*x).\nAnswer: 27*x**4 - 378*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2\/1 + 16\/(32\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004301155 to 7 decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 255.709?\nAnswer: -252.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/8 + 15*h\/8 - 13\/4 = 0. Calculate h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*c - 76*g, -c - 15*g = -18*g - 9 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + -3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g + 1496 = 30*g. Calculate the smallest common multiple of 153 and g.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 5. Suppose 4*g + q = 5*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + (9 - (25 + -72)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 801.717 hours?\nAnswer: 2886181200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/(-20))\/(-13) + 20\/(-50). Let h(s) = -s - 7. Let i be h(-6). What is the closest to -2\/7 in n, i, -4, 9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 13. Suppose 0 = -3*j + 16 + 20. Suppose g = b*g - j. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.045 and -0.7.\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0247371722 to five dps.\nAnswer: 0.02474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*q + 35. Let r(i) = 8*i + 39*i**3 - 2*i - 22*i**3 + q*i**2 - 7 - 16*i**3. Determine r(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -42?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 plus 565180795?\nAnswer: 565180796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/12, 1\/11, 129902?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -34, 2, -2\/877, 53\/4 in increasing order.\nAnswer: -34, -2\/877, 2, 4, 53\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let f = 6 - -7. Let d(w) = f - 13 + 2*w. Calculate d(x(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 12:38 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-8)))\/(w**(-3\/11)\/w))\/(w**(-3\/2)\/(w*w*w**7*w)) assuming w is positive.\nAnswer: w**(105\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -446 * -3.\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**4\/4 + 4*v**3\/3 + 15*v**2\/2 - 12*v - 161. Let l be j(6). Solve 0 = l*b - 3*b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:40 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbblllliili. What is prob of picking 1 b and 2 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -1249, 36 in decreasing order.\nAnswer: 36, 2, -1, -1249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-14)*k**(3\/4) assuming k is positive.\nAnswer: k**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -16323406 < -16323420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/455*5)\/((-1)\/7). Suppose -2*r + y = 3*r - 14, -r + y = -6. Sort r, 5, t in decreasing order.\nAnswer: 5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/25))\/f*f*f)**48\/(f**(-36)*f*f*f*f\/f**31*f) assuming f is positive.\nAnswer: f**(3998\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-2)\/(-32))\/(39\/(-16380)*-15))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 106?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((405\/12)\/15).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*s - 3 = 0, h - s - 1 = 2*h. Let k = 7 + h. Calculate the smallest common multiple of (-1)\/(2\/(-32)*2) and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**4 + 3067411*w**3 - w**2 + 113347746*w wrt w?\nAnswer: -12*w**2 + 18404466*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 185*m - 9. Let p(r) = -r**2 + 553*r + 27. Let l(k) = 3*p(k) + 8*u(k). Calculate the remainder when 672 is divided by l(-36).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 22, -58, -4, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + -4 + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 5*b + 10, 0 = -w - 4*b - 2 - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -343 + 359. Suppose a*b + 5*b - 42 = 0. What is the remainder when 21 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2638 times -3931\nAnswer: -10369978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(5\/4))**(-10\/11))**18 assuming j is positive.\nAnswer: j**(-225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -365, 1, 5, -2.\nAnswer: -365, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 4*p**2 + 5*p + 5. Let n be (-10)\/(-3)*12\/8. Let l = n + -6. Let h be 5\/(-1)*(-1)\/l. Give m(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 26\/(-22)) + 3944\/88 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280472.9mg to grams.\nAnswer: 280.4729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 8\/7 (c) -0.2 (d) 11\/4 (e) -4 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*t**2 - 81*t**2 - 41*t**2 - 54*t**2 - 59*t**2.\nAnswer: 77*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*y - 15 + 5, 5*x = 2*y - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.85 - -1.34. Let o = -0.89 + m. Which is the third biggest value? (a) 2\/9 (b) -22 (c) o (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x - 9*x - 410 + 410 + 3*x + 0*x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 16*c + 3. Let a be o(8). Find the first derivative of a*b + 39*b - 7 - 84*b wrt b.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 776. Let u(f) = f**2. Give s(u(a)).\nAnswer: 4*a**2 - 776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 21*k - 89. Let t be m(4). Which is the second biggest value? (a) 1 (b) -2\/5 (c) 0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4*m = -61 + 49, 4*b + 12 = 4*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538694697.\nAnswer: 173, 8894189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 496588 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 52, 1, -5636, 2, -5 in increasing order.\nAnswer: -5636, -5, -3, 1, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 4 - -1 - (-3 - -4 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3))**2*-3 + -1*sqrt(28) + (-1*sqrt(7)*-6 - -3*sqrt(7)*5).\nAnswer: -21 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.0707152 rounded to two dps?\nAnswer: 14.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.386134475 and -11?\nAnswer: 2.613865525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 - -338 - (-1 + 4 - (35 + -37))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 2*f**2 + 2*f - 1. Let b be c(2). Let p(i) = 9*i - 133. Let s be p(15). Solve 0 = v - s - b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-4) - 66\/88. What is the remainder when (440\/c - -2)*(-30)\/20 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -0.3, -14, -0.5, -2\/7, -2\/13?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -186985 * -3.4\nAnswer: 635749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -22 + (-8 - -4) + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 4*x**2 + x - 4. Let t(i) = i**2 - 11*i + 7. Let j be (1 + 1)\/((-3)\/(-15)). Let k be t(j). Determine r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/2, -2121 in ascending order.\nAnswer: -2121, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 3. Let b be k(-6). Let j = b - -28. Let a = j + -23. What is the greatest common factor of 160 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187814407 by 1936231.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39 - 1*(-2 - -4). Let y = -23 + r. What is the units digit of (y\/4 - 3)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:29 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 - 17*a + 25. Determine f(8).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47525970.\nAnswer: 2, 3, 5, 41, 38639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 19. Let a = 13.00014 + s. Round a to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23338638.000054 + -23338468. Let m = u + -170. Round m to 6 dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -285 and 529.\nAnswer: -150765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-10)\/285*3 - (-102)\/(-114)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 15 = -4*f. What is the lowest common multiple of -28*(7\/(-2) - f) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 6*w**2 - 5*w + 3. Let b be (2 - 5)*(-2)\/(-3). Let n be (b\/4)\/((-3)\/(-6)). Let j be ((-2)\/(-4))\/(n\/10). What is u(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 35 - 5 = 0. Calculate the remainder when 149 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*v = 247, -5*t + 3*v - 5*v = -409. Let l = 487\/6 - t. Let 0 + 1\/2*p + l*p**2 = 0. What is p?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.70407 litres to millilitres.\nAnswer: 5704.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 2\/15, 3\/7, -0.1 in descending order.\nAnswer: 3\/7, 2\/15, -0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(900)*2)\/sqrt(2))\/(-5*1*sqrt(6) - sqrt(48)\/(sqrt(8) + sqrt(128))))**2.\nAnswer: 1875\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 20 = 3*q, -2*q = -5*a - 7*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5651*c**2. Let v(p) = 469*p**2. Give v(h(q)).\nAnswer: 14976952669*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101638*t**3 + 822*t**4 + 101638*t**3)*(2*t + 2*t - 8*t - 1).\nAnswer: -3288*t**5 - 822*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - u + 7, 2*c + u = 2*u. Is -17 - -20 - (-685 - c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.6. Let i = 0.12 - m. Let a = i + -4.02. What is the second biggest value in 0.3, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 2*j + 3*j)*(34*j + 40*j + 44*j + 15*j - 6*j) as x + n*j + o*j**2 and give o.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4 (c) -0.2 (d) -73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19900?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1.4. Let f = -7.979 + -0.021. Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -232*h + 11. Let c(g) = -348*g + 16. Let d(n) = -7*a(n) + 5*c(n). Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1962 and 15967410?\nAnswer: 47902230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*t - 3*r - 1, r = 4*t - 8. Solve t*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 4. Let p = l - 11. Which is the nearest to 1\/4? (a) p (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2365683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67.2 - 67. Let l = 25 + -28. Sort l, -4, b, -0.8.\nAnswer: -4, l, -0.8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (3 + 59 - (-33 - (-15 + 34 - 38)))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-4)*(-28)\/21. Let o(y) = y**3 - 4*y**2 - 12*y. Let f be o(s). Suppose -3*l + 283 = 2*t, -5*l + 695 = 5*t - f*l. What are the prime factors of t?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 0)*(3*h - h - 4*h + 3 - 4*h + h + h - 2 + 2 - h + 0*h - 5*h + 3*h + (-1 - 3 + 2)*(3*h + 2*h - 3*h) + 5*h - 2*h - 5*h - h - h - h).\nAnswer: 16*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840 = -13*p - 43*p - 2240 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -11) + ((-63 - -5) + 1 - -14)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -133*z**5\/5 + z**3 - z**2 + 98*z + 361. What is the second derivative of f(t) wrt t?\nAnswer: -1596*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110890777 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 8*h**2 + 8*h + 15. Let o be m(9). Suppose o*u = 1 - 79. Let n = 7 + u. Let j(l) = l**2 + 6*l - 5. Calculate j(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 17 = -54. Let q = 72 - c. Let z be ((-1)\/14)\/((-2)\/(-8)). What is the closest to z in 0.5, q, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from jjddtljtjjtjdt?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzozoo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -816 (base 10) to base 2\nAnswer: -1100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/11)*k**(-6))\/((k\/k**(-3))\/k*k\/k**0))**45)**(-36) assuming k is positive.\nAnswer: k**(181440\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 1\/4*v**4 + 2*v - 12 - 1\/2*v**2 - 1\/3*v**3. Determine y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -846.4 (b) 1\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -174*c**2 - 1089*c + 39. Let f(x) = -33*x**2 + 2*x - 1. Let b(w) = -3*f(w) - j(w). Factor b(r).\nAnswer: 3*(r + 4)*(91*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**4 - 61*c**3 + 966*c**2 - 8*c + 79770140 wrt c?\nAnswer: 4*c**3 - 183*c**2 + 1932*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 10. Let o be a(12). What is the second derivative of 2*u**2 - 3*u**3 + u + 3*u - 2*u**o wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191 + -188. Let p(d) = 7*d**3 + 8*d**2 - 4*d - 2. Let u(y) = 4*y**3 + 4*y**2 - 3*y - 1. Let n(l) = i*p(l) - 5*u(l). Determine n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31113?\nAnswer: 3, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.55 and 256.\nAnswer: 256.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/3 - -20\/3. Let t be (-2 - 0)\/((-8)\/(-6)). Which is the closest to i? (a) -0.1 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/21 + (-15)\/(-35). Suppose 2 - 4 = -2*a. Is a + 331 + s + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a99 + 156?\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 17*p**4 - 16*p**4 + 7*p + 90*p + 2*p**2 in the form l*p**4 + h*p**3 + g*p**2 + q + y*p and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 4. Suppose 0 = g - 0*g - 3*x - 12, -g - 2*x - 13 = 0. What is t(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u**(-2))**34 assuming u is positive.\nAnswer: u**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 9:39 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003924 rounded to 6 dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0 (b) -4 (c) -76\/93 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -8, 4, -18, 2508 in decreasing order.\nAnswer: 2508, 4, -1, -3, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9423656419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 25, -0.5, 5\/3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5399*s**3 - s**2 - 2*s + 13. List the prime factors of f(2).\nAnswer: 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731658978 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = u + 21, 2*h - 52 = 2*u. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 + 6 = 2*v, -4*v + 2*m + 18 = 0. What is the third derivative of -5*g**6 - 2*g**2 - g**2 + 2*g**v + g**6 wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-20 - -6 - -23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 8:19 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6856 and -139\/1044.\nAnswer: 1789416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**6 + 53*s**5*z - 9*s**2*z - 4 wrt s?\nAnswer: -120*s**3 + 3180*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r - 4 + 8*r - 15*r)*(r + 2*r**3 - r).\nAnswer: 2*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.757 + -4.757. Which is the nearest to -2\/5? (a) o (b) -1 (c) 0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 460376911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + r**2 - 6*r - 6.\nAnswer: r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 14 = -2*o, -7*o + 5*f - 22 = -9*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023552 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22130?\nAnswer: 2, 5, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 + -1.51. Let a = g + -12.5. Let j = a + 14.5. What is the smallest value in j, 2\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 36*x**3 + 2*x**2 - 3*x - 4. Let s(i) = 35*i**3 + 3*i**2 - 3*i - 3. Let v(o) = -3*p(o) + 2*s(o). What is the second derivative of v(g) wrt g?\nAnswer: -228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 53. Let k = 0.1 - 5.1. Which is the nearest to r? (a) -3\/2 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c\/c**(-19))*c\/(c**(-13\/5)*c)*c)\/(c**15)**26 assuming c is positive.\nAnswer: c**(-2037\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 4:37 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msmmkmmkkk. Give prob of picking 4 k.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from ffffhffffffffffff.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - w - 35.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 35. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -20*k - 1. Suppose 5*q + 21 = -h, 3*q - q + 10 = -2*h. Is o(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1979601929 - -2276541837221\/1150. Let q = o + 5523\/50. Let h = q + 221. Is 0 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8*v**3 + 46*v**2 + 22*v - 60 = 0?\nAnswer: -5\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5 + -1*((sqrt(117) - (0 + sqrt(117))) + 5 - (2 + sqrt(117) + 1)))**2)*4.\nAnswer: -168*sqrt(13) + 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*x = 781*x + 46*x + 74200 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 0.3, 2\/13?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66721\/96 + -695. Let p(d) be the third derivative of -n*d**4 - 1\/12*d**3 + 1\/240*d**5 - 2*d**2 + 0 + 0*d. Solve p(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48283 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 1983 - 171. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*p**3*q**4 + 2*p**3*q + 9*p*q + q**5 + 7*q**2 wrt q.\nAnswer: -4056*p**3*q + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5 - 4)*(0 - 2*i + 0) + 3*i - 6*i + 4*i.\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 178084 (b) 1 (c) -27 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001081747 rounded to seven dps?\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-3)\/(-15)*-2. Let x be 2\/((0 - j)\/(-2)). List the prime factors of x\/(-4) + 27\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o - 55. Give z(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/7 + 135*o\/7 + 258\/7 = 0 for o.\nAnswer: -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 271*y - 1823086 - 13489857 - 23354692. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 11:13 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 3*r - 1. Let o be z(3). Let a be -18*((-6)\/(-4) - o\/16). Let s = -27 - a. Sort -3, 3, 1\/3, s.\nAnswer: s, -3, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-13 + -7))\/(46*1). Is -1 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 3. Let m be a(6). Let t = 119 + m. Let c = t - 58. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1 from -1066.643223.\nAnswer: -1067.743223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*(m**(5\/4)\/m)\/m)\/m*m)\/m)\/m*(m*m**(2\/3))\/m)**(2\/173)\/((m*m**(2\/5))**(2\/141)\/(m\/(m\/(m**(-1\/2)*m)*m*m))**(-39)) assuming m is positive.\nAnswer: m**(2377001\/40655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**2 - c**3 + c**3 - c**3 - c + 19. Let j(k) = -k**3 - 12*k**2 - 33*k - 19. Let w be j(-8). Is a(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145.12 - 2.12. Let z = x - 142.9999976. Round z to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -497578 - 205.7?\nAnswer: -497783.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*f = 393 - 3318 - 1875 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2. Suppose -6*j + 5*c - 13 = -3*j, -4*c + 28 = 2*j. Suppose -j*l + s = -10, l + 5*s = -4*l. Let w(y) = -429 + 429 + l*y. Calculate w(r(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15370*t + 319 = 15359*t for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y + 2*y**2 + 3*y + 4*y. Let z(q) = -q**2 + q - q. Give z(i(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4146, -4030, -3722, -3126, -2146, -686, 1350?\nAnswer: 4058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 145*y = 148*y + 24, 2*b = y + 10 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 22*a**2 + 8\/3*a**3 + a + 0 + 1\/60*a**6 + 1\/30*a**5 - 5\/6*a**4. What is s in d(s) = 0?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, m: 3}. Give prob of picking 2 z.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -321358 (base 12) in base 11?\nAnswer: -49a760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = 20. Suppose -730 = -86*b + 13*b. Calculate the smallest common multiple of b and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + (-58 - (3 + -16))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 + 10)\/((-2)\/5). Suppose -4*s + 2*y = -14, -3*y - 1 = 4*s - p. Suppose 5 = -2*l - 3*m, -5*m - 6 = s*l - m. Sort -2, l, -3.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Let u be 12\/1*3*n\/(-6). Let x(g) = -g**3 - 7*g**2 - 6*g + 1. Give x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 i when four letters picked without replacement from {g: 7, i: 9}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106224 and 26556.\nAnswer: 106224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002640743 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + -1 + sqrt(4500))**2 - (2 + sqrt(45)*2 - 1*sqrt(405))*1.\nAnswer: 243*sqrt(5) + 4514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 11\/9*3. Let a = -36 + 39. Let z = 1.7 + -2. What is the nearest to f in -0.4, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*x - 0*x. Let n(v) = -69*v + 6. Let m be n(x). What is the highest common divisor of m and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**5\/20 + 7*d**4\/4 - 37*d**3\/6 + 29*d**2 + 279*d. What is the units digit of a(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2. Suppose -8*k - 11 = -9*k. Suppose k*u - 8*u = 18. Let y(q) = 8*q + 2*q + 5*q - u*q. Calculate y(v(t)).\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 divided by 85703?\nAnswer: -433\/85703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (11 - (-17 - (11 + -26))) - 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 5*x - 3*x + 2*x - 10. Let l be m(6). Let f = 89\/4 + -22. Sort l, f, 0.5 in decreasing order.\nAnswer: l, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.068632 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4014, -16030, -36044, -64044, -100018?\nAnswer: -143954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 5498. Let o(f) = f**2. Calculate w(o(z)).\nAnswer: 2*z**2 + 5498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -619*s**3 + 37*s - 2 - 629*s**3 + 2*s**2 + 46*s + 4 + 1249*s**3 as c*s + m*s**2 + n*s**3 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021*v**2 - 1197*v**2 + 185*v**2 + 63*v**2.\nAnswer: -1970*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f + 6*f - 57. Let h(m) be the third derivative of 0*m**6 + 0*m + 0 + 1\/30*m**7 - 4\/3*m**f - 11*m**2 + 0*m**4 + 0*m**5. Differentiate h(o) wrt o.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81192?\nAnswer: 2, 3, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 7 + 1 - 23 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -81523100 to the nearest one hundred thousand.\nAnswer: -81500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/99)*m*m**(-20)\/m)\/(m**(3\/8)\/(m**(-11)\/m)) assuming m is positive.\nAnswer: m**(-24833\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 9 + 4)*(3 - g - 3).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 102. Is 4 a factor of ((-148)\/10)\/(s\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8735503+0.1\nAnswer: 8735503.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 124295, 248588, 372881, 497174?\n\"Answer: 124293*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + (8 - -6)\/7 - 1*6. Sort -5, -3, z in decreasing order.\nAnswer: -3, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230032 + -100?\nAnswer: -230132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/(-3))\/(2\/6). Let o = 4 + w. Calculate the greatest common factor of 51 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, -4, -3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -7, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -74. Suppose -s*o - 21 = -11*o. Solve p = -4, o*b = -0*b - 4*p - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 6*o - 8. Let w(f) be the first derivative of f**3\/3 + 3*f**2 + 9*f + 2. Let q(n) = -3*g(n) - 2*w(n). Give q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29028*n**2 - 27547*n.\nAnswer: 58056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -36.\nAnswer: 43\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(117) + (sqrt(117) - 2*sqrt(117))*4 + 3*sqrt(117)*3)\/(sqrt(18)\/(2*sqrt(2) - sqrt(2)) + (sqrt(81)\/(sqrt(18)\/sqrt(2)) - sqrt(9))).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**3 + 3*a**2 + 3*a - 3. Let g(v) = -6*v**3 + 2*v**2 + 2*v - 2. Calculate -4*c(l) + 6*g(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349346.\nAnswer: 2, 174673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 52\/35*v**5 - 5\/42*v**6 + 16*v**2 - 165\/28*v**4 - 96\/7*v - 62 + 14\/3*v**3. What is o in f(o) = 0?\nAnswer: -1, 2\/5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*q**2 - 645*q**2 + 254*q**2 + 169*q**2.\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7.12. Let t = -0.88 - u. What is the second smallest value in t, -0.4, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 44\/6911727 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02436285322 rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -574*43.759.\nAnswer: -25117.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -4. Let i = -10.5 + 8.73. Let b = -3.23 + i. Put 0.4, u, 0, b in ascending order.\nAnswer: b, u, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 3 (c) 20.72 (d) 2\/3 (e) -2 (f) -32\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**5\/20 - 227*y**4\/6 + 1655*y**3\/6 - 3209*y. What is the second derivative of m(w) wrt w?\nAnswer: 6*w - 908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124762 * -118.\nAnswer: 14721916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:33 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390648575?\nAnswer: 5, 61, 256163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23353.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 4, 0, -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -50*x**2 - 2*x - 1. Let w be k(-1). Let u = -31 - w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118742275488829 plus 0.05?\nAnswer: 118742275488829.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-10)*u)**(-1\/77)\/(u**(29\/3)\/u*u**(-9)) assuming u is positive.\nAnswer: u**(38\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76437 - -0.26.\nAnswer: 76437.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6495*(-13)\/(975\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -16373*n + 180097. Give l(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {x: 8, j: 4, p: 6, m: 1, w: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 2*a + 0*a + (a - a + a)*(-5 + 3 + 4) + 3*a + 0*a - 2*a - 2*a - 4*a + 2*a + 2 - 2*a - 2.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 12*s**2 - 7*s + 57. What is h(-13)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 201892054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6238100 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 651220 + -1734685.\nAnswer: -1083465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (0 - 5 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (69\/12)\/1*4 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 934 + 252 + 242 + 3218*a with respect to a.\nAnswer: 3218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -2\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 127 = i. Let j be (-28)\/i + (-376)\/(-11). What is the common denominator of (-1 - -4) + j\/44 and 51\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74318.4 to the nearest ten.\nAnswer: 74320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**3\/3 + 1. Let q = -21 + 15. Let m(c) = -11*c + 6. Let h(f) = -2*f + 1. Let l(i) = q*h(i) + m(i). What is l(y(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 23*c**2 + 23*c**2 + (-12 + 12 - 6*c)*(-6*c**2 + 2*c**2 + 2*c**2) + c - 2*c**3 - c + 3*c**3 + 0*c**3 - c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/19, -0.4 in ascending order.\nAnswer: -0.4, -1\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 + -5 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 60 = -2*u - 27, -4*r - 2*u = -66. Suppose r*z - 1918 = 14*z + 4*j, 5*z - 3*j - 3193 = 0. What are the prime factors of z?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2. Let l(k) = -3*k**2 + 2*k + 6. Let r(x) = -3*x**2 + x + 8. Let h(d) = -4*l(d) + 3*r(d). Determine g(h(y)).\nAnswer: -9*y**4 + 30*y**3 - 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1111000010?\nAnswer: -1111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -68 (b) -1\/8 (c) -5 (d) 2 (e) 6 (f) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 633 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 5*u. Solve -j + 4*j = u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4 = 5*t + 16, 4*j + 3*j = -2*t - 270 + 219 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v - 220*v + 40*v + 42*v + 54*v + 55*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61\/4 in 1204, -0.2, -6, 0.1, 3\/7, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.021339860865 and -0.1?\nAnswer: 7.121339860865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*j**2 - 108*j**2 - 2 - 666*j**3 + 675*j**3 - 16*j**4 as i*j**3 + l + u*j**2 + d*j + p*j**4 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17224915402 - 0.5.\nAnswer: -17224915402.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38519\/2 + 19298. Let g = -5882\/36679 + -589539813\/77319332. Let d = -250\/31 - g. Calculate the common denominator of d and j.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207515 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 2*q**2 - 3*q + 275. Let d be x(0). What is the highest common divisor of d and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7081033.\nAnswer: 23, 307871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -594\/7. Let x = -117 + 122. Put -2\/9, x, s in descending order.\nAnswer: x, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 1:25 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/57 - -3) + 24395\/(-1615).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-41)*i)\/((i**(-8)*i)\/i*i)*(i*((i\/(i*i**(-5\/6)*i))\/i)\/i)\/i**42 assuming i is positive.\nAnswer: i**(-457\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 22*o. Let i(r) = -6398*r. Determine b(i(f)).\nAnswer: -140756*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13849 - 13825. Let q(t) be the third derivative of 1\/20*t**5 + 0 + 0*t**4 + 0*t**6 - p*t**2 + 0*t + 0*t**3 - 1\/70*t**7. Factor q(z).\nAnswer: -3*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-9))\/(5\/2).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 13269792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2346539 = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 0*y**2 + 0 - y - 1\/3*y**3 + 1\/6*y**4. Factor q(h).\nAnswer: 2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*c = -28, -s - 414*c = -393*c + 13 + 243 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-10))\/(-2))\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48321 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-11 - -14) + (2 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -786 + 3185. What are the prime factors of x?\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14*s + 127. Give f(0).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -1150, -2609, -4666, -7327, -10598, -14485?\nAnswer: -18994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 - 8*v**2 + 26*v + 15. Let a be w(0). Calculate the greatest common divisor of 494 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j**5 + 721811*j**4 + 5*j**2 + 1929152*j wrt j?\nAnswer: 420*j**2 + 17323464*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5095972.98 microseconds to weeks.\nAnswer: 0.00000842588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.4, -2\/13, 29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**3 + 39*q**5 - 80*q**5 + 42*q**5 + 23*q**5 - 38*q**5 + 22*q**5 + (2*q**2 - 2*q**2 + 2*q**2)*(2 - q**3 - 2).\nAnswer: 6*q**5 - 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 1\/(4\/16). Solve 0*g - 5*j = -5*g + 25, 0 = d*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 686 and -763293?\nAnswer: 763979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 5*s + 50, -25 = 5*s. Suppose 2*d = 5*b + 4, -3*b - d + f*d = 8. Find u, given that -4\/7*u - 2\/7*u**2 + b = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -105527?\nAnswer: -12663.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10026733?\nAnswer: 31, 323443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 0.02, -4\/9, -4 in decreasing order.\nAnswer: 0.02, -2\/15, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110968?\nAnswer: 2, 11, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -14*r**4 - 7*r**3 + 37*r**2. Let w(u) = -7*u**4 - 3*u**3 + 18*u**2. Let z(m) = -6*p(m) + 14*w(m). What is the third derivative of z(k) wrt k?\nAnswer: -336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4649 a factor of 3103532930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -3*c**2 + 5*c + 1. Let h(a) = a - 1. Let n be ((-2)\/(-8))\/(38\/(-152)). Calculate n*y(f) - 5*h(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 893420403 to the power of 1\/2, to the nearest integer?\nAnswer: 29890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2768, 2711, 2616, 2483, 2312?\n\"Answer: -19*h**2 + 2787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36115 by 5.\nAnswer: 7223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avda. What is prob of picking 1 v and 2 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 20, 0 = 11*p - 6*p - 5*q - 40. What is the derivative of -263 + 7*z**4 + 35*z**4 - 6*z**4 - 7*z**p - 4*z + 6*z wrt z?\nAnswer: 116*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(1008) + -3 + ((sqrt(84) - (sqrt(84) + -2*-2*sqrt(84))) + sqrt(84))\/(-4*sqrt(48)\/sqrt(4) + sqrt(12)).\nAnswer: -3 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-3)*(735\/180)\/49.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 503.6533562 to 1 dp.\nAnswer: 503.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -q + 16*q. Suppose -2*d = -2*z - 2, 0 = 3*z - q - 2. Factor 1\/7*v**d + 0*v**2 + 0 + 0*v.\nAnswer: v**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123186877 to the power of 1\/2, to the nearest integer?\nAnswer: 11099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 196097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 9. Suppose 40 = 5*d - 3*f + f, -3*f - 5 = -2*d. Let h be c(d). Calculate the highest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28535*j + o = 28539*j + 7, -2*j + 4 = 2*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2142 - -2137. Let r(w) = w**3 + 7*w**2 - 3*w + 1. Determine r(x).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 7*i**2 - 5*i + 1. Let l = 115 - 107. What is the least common multiple of l and v(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 682043856 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28265 and 220467.\nAnswer: 1102335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324335213 (base 6) in base 10?\nAnswer: -15891417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u - 2761 = 185*u + 3599 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**2 + 118656820*g + 703972046625620 = 0?\nAnswer: -11865682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 228073\/15 + -15298. Let k = 93 + w. Let p = 41 - 36. Which is the second biggest value? (a) 2 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 4*w**2 - 4*w. Let c be i(5). Suppose c*g = 3 + 7. Let n be (-5)\/g*1\/(-5). Is 0 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnene. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 7*u + 6*k - k - 34 + 114 = 0, k = -6*u - 76 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6509 (base 12) in base 5?\nAnswer: 323342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/695 (b) -818 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -641 + 661. Suppose -l - 196 = -3*u, -16*u + z*u - 5*l = 254. Calculate the lowest common multiple of 270 and u.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 13*c**2 + 43*c + 3. Suppose -2*b = -2400*r + 2404*r + 28, -3*r - 21 = -3*b. Determine s(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - -0.18. Round u to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -3*k**3\/2 + 2*k. Determine t(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2 - q. Let o(d) = -d. Calculate m(a) - o(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/2 - 20553713*f - 41107428 = 0.\nAnswer: -2, 41107428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19274?\nAnswer: 2, 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 - 107 = 23*t + 46. Factor -4\/3*j**t + 4\/3 + 2\/3*j**3 - 2\/3*j.\nAnswer: 2*(j - 2)*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/7 (b) 2 (c) -22\/7 (d) -1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**4\/4 - p**3\/2 + 2*p**2. Let r(z) = -27*z + 3. Let g(j) = 67*j - 7. Let d(h) = -2*g(h) - 5*r(h). What is 3*d(a) - f(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 832073 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**2 - 9 + 4*j + 3 + j**3 - 1. Let g = -3449 - -3524. Calculate the remainder when g is divided by m(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 7:51 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 7*t**3 + 15*t**2 - 15*t**2 - t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.808512 meters in nanometers?\nAnswer: 1808512000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b, -4*z - 8 = b. Is ((-50)\/15)\/(z\/69) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537136\/32 + 3\/12*6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(126)*-6)\/((sqrt(12)\/sqrt(27))\/(sqrt(40)\/sqrt(5))).\nAnswer: 1944*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 - -0.09. Let x = 0.04 - a. What is the second smallest value in -1, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65\/7 + -68\/7. Sort q, -0.3, -7 in ascending order.\nAnswer: -7, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - 27*s + 39*s + 39*s)*(7 - 3 + 6*s + 3) as b*s + o*s**2 + d and give b.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 2019734*x + 1019831357689.\nAnswer: (x - 1009867)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (-1 - (-11 + 14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -2)*966\/(-4). Let p = 1012 - m. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:07 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6796247 or -6796326?\nAnswer: -6796247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*4\/48)\/((-1)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*p + 1 = 0, -p + 26 = 3*j - 3*p. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 11 - 3. What is the remainder when 7 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**5 - r**5 - 4*r**5 + (-15*r**5 + 7*r**5 - 3*r**5)*(-2 + 4 - 1) + 5*r**5 - 2*r**5 - 2*r**5.\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20472111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*g**3 + 1371*g**3 - 676*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, 9, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166643047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*a**2 - 48*a**2 + 20*a**2)*(6*a - 3*a + 2*a)*(-3*a - 3*a + 7*a).\nAnswer: -655*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -6\/7*j + 3\/7*j**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31679353 to the nearest integer?\nAnswer: 5628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 22 = -2*a - 16*t, 4*a - 56 = -4*t. Solve m = -3*m - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkbbbxubxbubk. What is prob of picking 2 b and 1 x?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1218\/35)\/((-1416)\/(-80)) - 4\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3 + 1593*h**2 - 6385*h + 4791 = 0. What is h?\nAnswer: -1597, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, 0.3, -175\/3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 0 - sqrt(700))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b - 18054 - 11166 = 2385*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**3 + o**2 - o. Let n be t(1). Suppose -n*y = -3*y - 140. Suppose -3*d - 22 = 4*l - 88, -d + y = 4*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 1 = 4*h - 23, -14*z + 2*z - 2*h - 18 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*k**2 - 1 + 182*k + 826*k - 34*k**2 + 516*k to the form d*k**2 + f + u*k and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.3 - 18.3. Let z = -15.99949 - m. Round z to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 4*x**2 + 36 + 37 - 3733*x.\nAnswer: -4*x**2 - 3733*x + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4083837579?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:16 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -469 - 1011 + 668*u**4 + 1437*u**4 + 5402*u**4 wrt u?\nAnswer: 30028*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 79*z**2 - 34*z - 4. Let q(i) = 8*i**2 + 3*i - 1. Give 12*q(v) + u(v).\nAnswer: 175*v**2 + 2*v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/63*77\/(5005\/(-780))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -30, -55, -100, -171, -274?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/8*181092\/90. Let n = k - 754. Calculate the common denominator of 166\/(-12) - (1 + -2) and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 185\/(-35) + 2\/7. Let o(s) = s**3 - 13*s**2 - s - 179. Let d be o(14). Let w = 113\/7 - 16. Put w, 1\/4, d, t in ascending order.\nAnswer: t, w, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -112.7. Let k = q + -0.1. Let b = -0.01 + -0.09. What is the second smallest value in b, k, 0.13, 2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 252157398 + -5?\nAnswer: 252157393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 62*n**2 + 118*n + 69. Determine l(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -105*n - 21. Let k be r(1). Calculate the common denominator of ((-156)\/(-40) + -4)\/(k\/4025) and 58\/12*(-15)\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 906?\nAnswer: 19932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/84 and -43\/6804.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 167470028531?\nAnswer: 167470028533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32299 times 290\nAnswer: 9366710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 1. Suppose -62 = -10*m - 12. Let a(x) = -3 - m*x + x**2 + 2*x**3 + 4*x + 4*x**2 + 0*x + 0*x**2. Give -a(v) + 5*h(v).\nAnswer: -2*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3208793594, -3208793595, -3208793596, -3208793597, -3208793598?\nAnswer: -3208793599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 400 = 2*q - 4*b, 1070 = -5*q + 4*b. Let u be 4 - (q\/(-45) - 4\/6). Put 4, u, -4, 10 in increasing order.\nAnswer: -4, u, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 4037930?\nAnswer: 24227580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 1214.6.\nAnswer: 1212.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*v - 62 - 46, -3*x = 5*v - 108. What is the highest common divisor of 24 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 75 - 405. Calculate the highest common divisor of 50 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008 is divided by 336.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-35) + 14\/30 + -1. Which is the third biggest value? (a) 6\/7 (b) 21 (c) q (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 5*v - 4*v)*(-v**2 + 7*v**2 - 4*v**2)*(4 - 3 + 1)*(-2*v + 4*v - 3*v).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89964 and 2646?\nAnswer: 89964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 44 = -2*q. Suppose -2*r = -15 - q. What is the remainder when 50 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 5. Let f(i) = -i**2 + 6*i + 5. Let m be f(6). Suppose -m*p = -p + 4. Let w(g) = 1. What is p*l(u) - 6*w(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 3*q + 30. Calculate the highest common factor of q and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3460523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 219*v**2 + 1891*v - 288. Give w(210).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 5*z + 1. Suppose -3*j = -6 - 3. Give p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 174061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 2*b - 29*b**3 + 31*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = i. Let q(z) = 5*z**2 - z + 5. Let y(h) = -6*h**2 + 2*h - 6. Let a(x) = 5*q(x) + 4*y(x). Does 21 divide a(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.5 - -16.5. Sort h, 0.1, -0.06 in decreasing order.\nAnswer: 0.1, -0.06, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 4*j**2 + 2*j - 1. Suppose 3*b + h = -b + 24, -b + h = -1. Suppose 3*n - 7 - 17 = 0. Let l = n - b. What is r(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79576 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/29 or -1?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 15. Suppose 0 = -9*i - 290 + 245. Calculate t(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -9 (c) -7 (d) 3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*x - 37*x - 23*x + 2)*(-3 + 3 + 1) in the form h + t*x and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from sksookoogosook?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**4*t)*(t*t*t**2*t)\/t)**48)**(2\/3) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4289*b**2 + 152*b + 23. Is n(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttu when three letters picked without replacement from {t: 5, u: 1, s: 2, p: 1, f: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/9 - 4\/(-12). Let y be 2*(1 - 3) + 1173\/289. What is the closest to y in -0.5, -3\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-9)*248\/(-310)*(-10)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75777155 + -3?\nAnswer: -2.24222845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/14*(-7)\/2. Which is the nearest to 1? (a) 3 (b) o (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 130*l**2 - 765*l.\nAnswer: -5*l*(l - 17)*(l - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39822.\nAnswer: 2, 3, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inzy when four letters picked without replacement from iiinyiiiznlilp?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/20 + (-75)\/84.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 - 32 = 0. Calculate the remainder when 3\/((-6)\/(-844)) + 4 + -2 + 6 is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -86801400*a**5 + 7985738760*a**4 - 1227985820042*a**3\/7 - 2684279192096*a**2\/7 + 308018918*a\/7 - 8836\/7 = 0.\nAnswer: -2, 1\/17430, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcc when three letters picked without replacement from educeuzdckedecd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185940527.\nAnswer: 149, 1247923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5085.9 rounded to the nearest ten?\nAnswer: 5090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyydyddy. Give prob of picking 3 d and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(13)*-2 - (sqrt(156) - ((sqrt(156) - (sqrt(156) + sqrt(156)*-2)) + sqrt(156)))\/sqrt(12) - (5 + sqrt(13)*-2 - 6*(-1 + sqrt(13)))))**2.\nAnswer: -512*sqrt(13) + 3584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991650 a multiple of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {u: 4, r: 2, g: 1, t: 1, l: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:54 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 20. Let f be z(-22). Suppose 14 + 64 = f*s. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3510.366395 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = 0, 19 = -0*s + 3*s - 2*z. Suppose -15 = -6*r + s*r. What is the smallest common multiple of 4 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -22*p + 17. Let n(j) be the first derivative of -j**2 + p - j - 1\/3*j**3. Factor n(v).\nAnswer: -(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 281, 11, -0.2, 10, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (3 - 1\/1). Let y = 1 - -3. What is the second derivative of -g*d - y*d + 5*d - d**3 wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -0.6, 0, 16, 8.6, -0.03?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00345537 to 5 decimal places.\nAnswer: -0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 28. Let r be (-32)\/3 - ((-56)\/12)\/7. Let b be k(r). Find the second derivative of -7*u**b + 18*u**2 + 30*u + 15*u**2 wrt u.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176256 by -153.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-12))\/(4\/738). What is the remainder when (-4)\/(-10) + t\/10 + 3 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 100011?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -372, -328, -240, -96, 116, 408, 792?\n\"Answer: 2*k**3 + 10*k**2 - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456046.\nAnswer: 2, 228023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1016)\/(-32) + (-1)\/(-4). Suppose -t - 58 = -4*d + 2*d, 144 = 5*d - 2*t. Suppose -d = -5*g + b. Solve 0*s = 3*s - g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:38 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + -0.4. Let t = 1.06005 + -0.3608. Let y = v - t. What is y rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 1, o: 1, q: 2, p: 2}. Give prob of sequence qi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000182721 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -24\/17 (b) -0.01 (c) 1\/14021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1326 + -2?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/5 of a tonne in kilograms?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*30\/9. Suppose r*d - 28 = 2. Find the third derivative of 3*c**2 + 0*c**d + c**6 - 3*c**6 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (3 - 2 - 0). Let q(d) be the first derivative of -d**5\/120 - d**4\/4 + 55*d**3\/3 - 39. Let t(p) be the third derivative of q(p). What is t(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 - 20*m**2 - 40*m**3 + m**5 - 16*m**4 + 1116 + 42*m - 1080 = 0. Calculate m.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*k + 7249 = -1533 - 3758 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*o - 4*p, -50*o + 45*o + p - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -539*o**2*t**3 + o**2*t**2 - 2*o*t**3 - 444*o*t**2 wrt t?\nAnswer: -3234*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137027 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.696? (a) 0.5 (b) -0.6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*(-5)\/(-70)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/7 (b) 0 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*n - 24, 4*n - 24 = 3*t + 5*n. Let q = t - -15. Suppose 13 = 5*y - q. What is the remainder when 11 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -1, -68\/3, -3.\nAnswer: -68\/3, -3, -1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -18. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121220 + -2112?\nAnswer: -12201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -78*g + 162. Let h(j) = 58*j - 160. Determine -4*b(t) - 5*h(t).\nAnswer: 22*t + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, -44, -3, 5, -2, -5 in increasing order.\nAnswer: -44, -5, -3, -2, 5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let d(s) be the second derivative of -13*s**3\/3 - 6*s. Determine d(y(g)).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*sqrt(13)*2)**2.\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/1 - (4 + (8 - 59)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y**3 - 7*y**2 + 11*y - 15. Let k be u(6). Suppose k = -8*b + b. Let x = b - -363. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1032, -3614, -10622, -24270, -46772?\nAnswer: -80342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242 - -360. Let z = -61 + u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-21))\/(((-204)\/(-616))\/(-17)). Suppose w - 34 = y. Solve -14 = b - y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114367 + (-12 + -5 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -35.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(432) + -1)*2 - (-5 + (sqrt(432) - (sqrt(432) + -6*(2 + sqrt(432)) + sqrt(432))))) + 0)**2.\nAnswer: -312*sqrt(3) + 601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + 9. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, -1799, -4 in increasing order.\nAnswer: -1799, -4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 899090 to the nearest one thousand.\nAnswer: 899000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**7\/168 + 37*m**6\/120 + 319*m**5\/80 + 863*m**4\/48 + 10*m**3\/3 - 325*m**2\/2 + 7579*m. Solve n(f) = 0 for f.\nAnswer: -26, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 5*n. Let t be a(-4). Suppose 0 = -3*b - 2*b - 4*l + 326, 2*b + t*l = 140. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 3*t**2 + 5*t. What is the remainder when p(-3) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3 = -2, 2*r - 223 = -5*m. Suppose -m = -3*w - 3. Calculate the smallest common multiple of w and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 65?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5144821.07 rounded to the nearest 10000?\nAnswer: -5140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -y + 3*a + 11, 5*y = 3*a + 194. Suppose 2*l = -2*l + 5*d + 323, -l + 89 = -4*d. Calculate the remainder when l is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1. Let b(x) = -6*x - 25. Let j(p) = -b(p) - 2*c(p). Let g be j(-5). Put 4, -5, g, 5 in descending order.\nAnswer: 5, 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -351040.\nAnswer: -351039.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 242*c - 2349. What is d(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 8*n**3 + n + 9*n**2 - 12*n**2 in the form y*n**3 + q + j*n**2 + g*n and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 4:17 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 1)*(6 + 9*k**3 + 2*k + 9*k**3 - 22*k**3) in the form f*k**3 + t*k**2 + u + c*k and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 - 198 = 10*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}