diff --git "a/data/dm_maths/full_data_1/1001_11255.jsonl" "b/data/dm_maths/full_data_1/1001_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1001_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q(m) = -3*m**2 + 11*m + 46. Give q(-5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -2933 - 235. Factor -444*g - 52 - y*g + 1375*g**2 + 3 - 131 - 385*g**3 + 30*g**4.\nAnswer: 5*(g - 6)**2*(g - 1)*(6*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4239)\/117*(-70)\/630 + -4?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 8. Let b be h(-7). Let f be (-150)\/(-6)*(-2)\/5. Let y be -10*(0 + f\/25). Solve 0 = -y*v - 3*p - 12, -2*v + p - 4*p - b = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 1365, 10 in ascending order.\nAnswer: 10, 82, 1365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1113 and 58317?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209025066 to the nearest integer?\nAnswer: 14458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48057 - 26958. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 495, 494, 493, 492, 491, 490?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1291*m - 86503. Determine x(67).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + -6 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13596*y + 53197*y + 12307*y - 6 + 19284*y. Let v be x(7). Let g = v + 4911318. Round g to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4138719623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -613*n + 412. Let d be (-1)\/((-1056)\/(-117) + -9). Is m(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4123864 (base 11) in base 12?\nAnswer: -2531a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*r - 2*h, 0*r - 2*r - 4*h = -6. Let n be (2\/2 - (0 + 0))\/r. Let f be (n - 2\/8) + (-19)\/4. Which is bigger: f or -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 437.\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 1, e: 1, c: 1, k: 2, j: 1}. Give prob of picking 1 j and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*d**5 - 95*d**2 wrt d?\nAnswer: 10800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*(3 + 3\/(-2)). List the prime factors of o + (-3 + 2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -117 and -6740.936?\nAnswer: 6623.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3343 - -3343.1. Do s and 178.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -74. Which is the biggest value? (a) v (b) -2 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6 = d. Let j be (-1)\/6 + (-1)\/d. Let k(t) = 9*t - 17. Let h be k(2). Which is greater: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -580153 and -1003299.\nAnswer: -1583452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(-2*sqrt(4)) + 3*sqrt(612))**2.\nAnswer: 20825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*3 - sqrt(126))\/sqrt(7) + -1.\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/268?\nAnswer: 3\/268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 7658*k - 92031. Let m be u(-12). Suppose 0 = -v - 3*v - p, 5*v + 4*p = 0. Solve 3*y + m = -v*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4192 = 5*l, 0*c - 2*l = 4*c - 4164. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + f - 1. Let k(t) be the third derivative of -1\/60*t**5 + 0*t - t**2 + 1\/12*t**4 - 5\/6*t**3 + 15. What is -k(m) + 2*q(m)?\nAnswer: -m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 9 - (12 + (14 - 0))) + (-4 - -11).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 19023552.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*f - 39463 + 5363 = 0 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(-1*sqrt(3)))\/(sqrt(588) + sqrt(588)*-3 + sqrt(588) - sqrt(12) - sqrt(12)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (7 - 5) + (-3 - ((-13 - 0) + 6)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 19*l + 143. Determine p(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y + n + 31 = 0, 3*y + 2*n + 48 = 0. Let i = 1 - y. Suppose 145 = 5*j + i. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 4*c**5\/15 + 5*c**2 - 30*c. Let n(m) = -m**2. What is n(z(d))?\nAnswer: -256*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olkvfwl. What is prob of sequence of?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u + 52*u - 31*u - 21*u - 19*u. Let g(m) = -2*m**2 + 5 - 6*m**2 + m**2. Let q(v) = 3*v**2 - 2. Let i(b) = 4*g(b) + 10*q(b). What is s(i(p))?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2. Let c(a) = 0*a - 8 + 0*a + 3*a**2 + 8*a. Suppose 5*z = -0*z - 40. Let v(r) = -2*r**2 - 5*r + 5. Let h(j) = z*v(j) - 5*c(j). Give f(h(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + q - 1. Let o(u) = 18*u**2 + 5*u - 5. Let p(z) = -5*m(z) + o(z). Let y(x) = -2*x**2. Calculate p(y(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 73. Let o = g + -26. Let w(i) be the second derivative of -5*i**4\/6 + 13*i**3\/6 - 5*i**2 + i. Let p(t) = 7*t**2 - 9*t + 7. Give o*w(r) + 7*p(r).\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5 - 5. Let h = g + 26. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6, -0.062 in ascending order.\nAnswer: -0.062, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.45 - 2.25. What is the closest to -1\/3 in n, -4\/3, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 54. Let i(a) = -10*a**3 - 4*a**3 - 8*a**3 - 6*a**2 - 5 + 6*a + 3 + 23*a**3. What is i(s)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5000)*-2 - sqrt(50))**2 - -1*(-1*sqrt(72) - sqrt(72) - sqrt(72))\/sqrt(9).\nAnswer: -22050 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -385164 - -647551. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*-6 + (sqrt(171) - 5*(sqrt(171) - -2*sqrt(171))))\/(1*sqrt(18)\/sqrt(2) - (sqrt(144)*-1 + sqrt(9))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*c = 984, -4*w + 21*c - 782 = 23*c. Put w, 0, -5 in decreasing order.\nAnswer: 0, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(7\/6)*z*z)\/z)\/z**3)\/((z*z**3)\/(z*(z*z**(4\/3))\/z*z)))**(-1) assuming z is positive.\nAnswer: sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/((-11900)\/(-336))*(-5)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -135*q - 2710. Let w be z(-21). Solve 33*c + w = 224 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -4*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 3*z - 1. Is i(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x + 21. Let i(o) = -o + 1. Let q(b) = -6*i(b) + y(b). Let t be q(12). Suppose -t*m = m. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 5. Let i be f(6). Let q be i\/((-2)\/4) + 3. Suppose -111*x - 56 = -55*x. Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i. Let f(p) = 241 - 241 + 7*p. Let v(z) = 4*f(z) - 6*h(z). Let b(k) = -2*k**2 - 2*k. Calculate b(v(n)).\nAnswer: -8*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.625.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 10*o + 3. Give k(-16).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -114389000 to the nearest 1000000.\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203754*h = 203735*h + 418 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*h + 4*p, p - 48 = -4*h - p. Let s be 3 - 1 - (2 + -5). Let d be (45\/(-20))\/((-18)\/24). Solve -s*j + 5*y + 25 = 0, -2*j + d*y = -3*j - h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*h + 221 = -123*h - 3*v, 2*h + 12 = 4*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**6\/360 + x**4\/8 - 4*x**3\/3 - 4. Let f(b) be the third derivative of k(b). Differentiate f(a) with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3261 divided by 1087\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-15)*-1)\/(4\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -13)\/2 + -3. Let u = 2 - 0. What is the second derivative of 9*j**2 - u*j**x - 9*j**2 - j wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.446 + -23.546. Let f = -7.87 - 0.13. Which is the fourth smallest value? (a) 2\/5 (b) 11 (c) f (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1329.\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5339.2586 * 0.25.\nAnswer: 1334.81465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/11)\/(11\/660902)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2486 = -w, 0 = -21*w + 22*w - l - 2498. Round w to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 610123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 48*l**2 - 17*l + 221. Is i(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -437646 divided by -6\nAnswer: 72941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4)\/a)**(-34)\/((a**6*a)\/(a**(2\/7)*a)))\/((a*a*a*(a\/(a\/(a\/(a\/(a**6\/a)))))\/a*a*a)\/a*a*a**(1\/10)*(a\/(a**(-1\/4)\/a))**(-49)) assuming a is positive.\nAnswer: a**(16931\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221*l + 221*l + 16*l**2)*(l + 5*l - l + 2*l + l - 4*l + (3 + 0 - 4)*(1 + 2*l - 1)).\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 53, -2, 5.\nAnswer: -2, 2, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 5*d)*(-2 - 2 + 7) - 2 + 2 + d + 3 - 2*d - 3 - 2*d + 6*d - 3*d + (-3*d + 3*d + 2*d)*(-1 - 1 + 3) + 4*d + 0*d - 3*d - 3*d + 3*d + d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - 33?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -3*(3 - 10\/3). Suppose 0 = 5*k + m - 300, -2*k + l*m - 23 = -143. Let u = -51 + k. Solve a + c + 12 = 6*c, a + 2*c - u = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 104?\nAnswer: 5\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {h: 2, i: 7, q: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.6052 and 24.\nAnswer: 22.3948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Let q(a) = 1778*a + 355. Calculate q(t(c)).\nAnswer: -3556*c + 355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-32)*v**(-2\/39) assuming v is positive.\nAnswer: v**(-1250\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056873 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-1\/7)\/n))**(-49)*(((n*n**(1\/6)*n)\/n)\/n)**(-31) assuming n is positive.\nAnswer: n**(-367\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*g - 771 - 149. Calculate the highest common divisor of 25 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -15, s = -s + 3*m + 207. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4498052 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((27\/360*-5)\/((-42)\/8)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1710 divided by -190\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 23 = 3*h. Are 7 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5)*x*x**(-5)\/x)\/(x*x\/x**4)**14 assuming x is positive.\nAnswer: x**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g + 14*g + 36 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10045457 (base 9) to base 6\nAnswer: 251055254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2036*k**2. Let g(l) = 5*l - 6*l + 77*l - 75*l. What is z(g(u))?\nAnswer: -2036*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -3 - -2) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*q + 7*q + 9, 3*m - 5*q - 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -42\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/137 (b) -0.1 (c) -3 (d) -120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + k + 6 = 0, -l + 3*k - 22 = -2*k. Let f be (-54)\/12*l\/3. Find the second derivative of 5*m**3 + 4*m + 0*m**f - 3*m**3 wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idok when four letters picked without replacement from iojwdjjwodkdkd.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:51 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2814, 2501, 1974, 1233, 278, -891, -2274?\n\"Answer: -107*l**2 + 8*l + 2913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4\/3 - 73*k**3 - 1492*k**2\/3 - 560*k + 3392\/3 = 0.\nAnswer: -212, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4127.9 - 4128. What is the closest to v in 2\/3, -2\/23, 2, -1\/15?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51622849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + u**2 - 4*u + 6*u**2 + u**2 in the form v + b*u**2 + q*u and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -551*y**2 - 133*y + 133. Let m(d) = -25*d**2 - 6*d + 6. Let t be (16\/10)\/(156\/585). Calculate t*g(a) - 133*m(a).\nAnswer: 19*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 291099.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 - (-2 + -3). What are the prime factors of (3\/4*-2)\/(w\/(-304))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j - 212. What is c(24)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10780 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 67?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 6 + 18 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 10*j - 15. Give d(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 - 130. Let d(j) = -1 + 40*j**2 - h*j - 41*j**2 + 1. Let w(k) = -k. Calculate d(n) - 6*w(n).\nAnswer: -n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0*m + m)*(-133 - 33*m + 133).\nAnswer: -33*m**2 + 132*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -14172.42 to the nearest one hundred.\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 178100 * -1\nAnswer: -178100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11095695.9 rounded to the nearest 100000?\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15046 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 5*f - 27, -3*f - 29 = -5*a. Suppose 0 = -p - 2 + 4. What is the smallest common multiple of a and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:42 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 13 + (0 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2352 (base 7) to base 14.\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69223.\nAnswer: 7, 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s - 21. Suppose -13*v + 5*q = -16*v + 11, -5 = -2*v - q. Suppose 5*m - 14 - 41 = 0. Let j(y) = -3 + 2*y + 5 + 2. Calculate m*j(d) + v*n(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5754)\/(-27)*3)\/(26\/(-429)). Round h to the nearest 100.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 49*f**2 + 264*f - 26. Determine j(4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l - 4. Let n(z) = 65*z**2 + 3*z - 2. Let i be n(l). Let f = i + -33. Solve f = -4*r + 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, w: 3, t: 2, f: 1, h: 1}. Give prob of picking 2 c and 1 w.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -12. Let l = f - 5. Suppose -5*o + 4 = -3*r, -l*o + r - 4*r + 12 = 0. 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 seventh root of 25719 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -831, -1184, -1497, -1770?\nAnswer: -2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:44 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 219*x + 3254. What is n(14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5052071*j**2 + 10104161*j**2 - 5052085*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: -18127 times 11.3\nAnswer: -204835.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m + 2. Suppose -2*g = m*z + 178, g + 63 - 342 = 3*z. Let p = z + 147. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2 - 62*m**2 + m + 4 + 1 to l*m + n*m**2 + k and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3983 - 1935. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 4*w - 458 = c, -3*c + 4*w + 294 = 0. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 2*h**2 - 13*h - 9. Calculate p(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 706 = -4*v. Let p = 9719 + -9694. What is the remainder when v is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 + -108. Let l = 8 + -6. Which is the nearest to o? (a) -0.5 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 7*n**2 - 5*n - 9. Let z be f(7). Let m = -12 - z. Determine x so that 10*x**3 - 3000 - 50*x**4 + 3000 + m*x**2 + 8*x = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.2, -1\/2, 0.24, -18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (2 - 2))*11. Let t = f - 17. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-258088667 + 57*f + 28*f**3 + 258088667)*(0 + 3 - 1) as p*f + v + a*f**3 + h*f**2 and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31500708.\nAnswer: 2, 3, 19, 23, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-30)\/35)\/((-2)\/(-6))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 0.30004334?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-39)))\/i**(-30))\/(i**(3\/13))**46 assuming i is positive.\nAnswer: i**(-255\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8110, -65127, -220024, -521785, -1019394?\nAnswer: -1761835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {s: 2, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -13\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.153 + 2.847. Which is the third smallest value? (a) n (b) -3\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/55803 and -43\/14685.\nAnswer: 279015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84380 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*n - 2*s, -2*s + 45 = 5*n + 34 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3515*b**2 + 10705*b + 480.\nAnswer: 5*(b + 3)*(703*b + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -307, 4, -4, 63.\nAnswer: -307, -4, 4, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6404 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + 0*p + 2*p)*(3 - p - 3)*(-592*p + 187221 - 187221) in the form d*p + w + z*p**3 + l*p**2 and give z.\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let y(v) = 0 + v - 2 + 2. Let g(x) = l(x) + 4*y(x). Let j(b) = -b**2. Calculate g(j(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - -18 - (-1 + 4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u\/(u**6*u)))\/u*u\/(((u*u**(4\/5))\/u)\/u)*u*u**(3\/4)\/((u**(1\/3)*u)\/u))**(-9) assuming u is positive.\nAnswer: u**(-1191\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 21 = 5*y - 12, -4*b + 4*y = 28. Let m be 12\/8 - (-13)\/b. Let x(r) = -2*r**3 - 5*r**2 - 4*r + 4. Is x(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 divided by -2?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*n**5 + 39*n**2 + 20*n - 18 wrt n.\nAnswer: -120*n**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -9*x**2 - 216. Let d(h) = 6*h**2. Give v(d(j)).\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 + 76 + (-4)\/(-2). Let j = -121 + a. Let x = j + 88. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*223.\nAnswer: 66.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**8\/336 + 11*d**7\/70 - 12*d**6\/5 + 64*d**5\/15 - 793*d**2 - 1. Let h(j) = 0. What is j?\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 (base 10) in base 15?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z + 18*z = 4557. Calculate the highest common factor of 17143 and z.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88.6 + 89. Put -6, -3, r in decreasing order.\nAnswer: r, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.5, 0.8458, -2\/79, -3 in descending order.\nAnswer: 0.8458, 0.5, 2\/9, -2\/79, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/11)\/d)\/d**(-2\/29))**32\/(((d**1*d)\/d)**(5\/6)\/((d**(2\/11)\/d)\/d**1)) assuming d is positive.\nAnswer: d**(-56531\/1914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Let f = p + -2.7. Let h = -53.8 - -54. What is the third smallest value in h, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 30 = -3*n, -2*f = 209*n - 206*n - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114426 < 2631774\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -763.18 less than 4?\nAnswer: 767.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 7*w + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.0076 + -29. What is h rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2. Let n(z) = z**3 - 6*z**2 + 3*z - 7. Let h be n(6). Let a(v) = 11*v + 2*v**2 - h*v. Determine a(d(y)).\nAnswer: 50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7041*m**4 - 2*m**3 - 1894*m**2 + 11737939 wrt m.\nAnswer: 28164*m**3 - 6*m**2 - 3788*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44\/3*p**3 + 64\/3*p**2 - 16\/3*p**4 + 0 - 16\/3*p + 4*p**5 = 0.\nAnswer: -2, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 7:07 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-26)*u**(1\/5)*u)**(-36) assuming u is positive.\nAnswer: u**(4464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 + 2*i**5 + 2*i**5 + 3*i**3 + 2*i**5 - 3*i**3 + (3*i**2 - 4*i**4 - 3*i**2)*(2 - 2 - 3*i) + 85*i**3 - 59*i**3 - 82*i**3 + 4*i**5 - 2*i**5.\nAnswer: 17*i**5 - 56*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35541 or 197.9?\nAnswer: 197.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 - 179*n**4 + 2680*n**3 - 11864*n**2 + 20944*n - 13040 = 0. What is n?\nAnswer: 2, 10, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/208 and -29\/92732.\nAnswer: 4822064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, -3, -47, -5 in increasing order.\nAnswer: -47, -5, -3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365929 is divided by 7457?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6*o - 404*i**4*o + 341*i**2 - 2*i - o wrt i?\nAnswer: 240*i**3*o - 9696*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21495 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n - 1. Let s be p(-1). Factor -2*o + o**2 - o**2 - o**s.\nAnswer: -o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 - 12 = -64*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 9\/2*a**2 + 3\/2*a**4 + 3\/2*a + 0 + 9\/2*a**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 7*p - 50. What is the greatest common factor of 234 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/275*(-2*(0 - -1))\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10839680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 8*w\/3 - 264.\nAnswer: 2*(w - 18)*(w + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(441)*2 + sqrt(9)).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v - 61 = -m, -2*m = -v - 116. Which is smaller: 58 or m?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13698, -13694, -13690, -13686, -13682?\nAnswer: -13678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32496 times 198?\nAnswer: -6434208","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 6906416071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663205955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/12*(-5 + 9). Solve 11 + 9 = k*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19, -12 in ascending order.\nAnswer: -12, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1123 - 1112. Solve -b + 6 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8042.513 micrograms to milligrams.\nAnswer: 8.042513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 927.4041mg in kilograms?\nAnswer: 0.0009274041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6570.7546 to the nearest ten.\nAnswer: -6570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 2*a**4 + a**3 + 438*a**2 - 871*a**2 + 446*a**2 - 9*a in the form i*a**2 + q*a + l + k*a**4 + h*a**3 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3 - 122812*q**2 - 942858400*q - 2827470000 = 0?\nAnswer: -15350, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5 + 2*j**2 - 5*j + 2*j + j**3 + 0*j**3 - 1. Let z be v(-3). Solve 3*f = 2*l + z + 1, 0 = -3*l + 5*f - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bd2 + -2?\nAnswer: -2bd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 814*b - 810*b, -5*b - 15 = 3*u. Let x(j) = 15*j**3 + 4*j**2 - 3*j + 3. Let f(c) = -29*c**3 - 7*c**2 + 5*c - 5. Calculate u*x(g) + 3*f(g).\nAnswer: -12*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.600188 millilitres?\nAnswer: 0.006600188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53613 is divided by 323.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6579.115 millilitres?\nAnswer: 6.579115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 2, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242 + 0.0813601.\nAnswer: -241.9186399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 2*h + 1. Let c be f(1). Suppose -4*n - b + 3*b = c, 5*n + b = 15. Let t = -2 + n. Solve -4*k - d = t, k = 3*k + 5*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34043, -32336, -29491, -25508, -20387, -14128?\n\"Answer: 569*b**2 - 34612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 590 and 1062.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 4*k**3 + 12 - 6*k**3 + 0*k**3 + 9*k + 11*k in the form q*k**3 + i*k**2 + z*k + m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1331*g + 2666*g - 1339*g - 7*a - 10 = 0, -a = -7*g - 44 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3996, 11, -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, y: 3}. What is prob of sequence qyyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -344*o**3 + 190602*o**2 + 101935904*o + 2 wrt o.\nAnswer: -2064*o + 381204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1300, 1623, 2162, 2917, 3888, 5075?\nAnswer: 6478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3 - -7) + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 3*f**2 + 4*f + 3. Let h be v(4). Let o be 44\/20 + h\/(-15). Suppose y = o*r + 5*y, 21 = r - 5*y. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(275) - sqrt(121)\/(sqrt(33)\/sqrt(3)).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 9. Let f = 29 - 20. Let s be q(f). Solve -5*w = -7 - s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x**2 - 8*x + 17. Let q be r(15). Suppose 5*u - q - 818 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + n - 23, -14*a + 18*a = -5*n + 90. Let r(p) = p**2 + 7. Calculate the remainder when a is divided by r(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5220, 4, 47, 1, 0 in decreasing order.\nAnswer: 47, 4, 1, 0, -5220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(1\/3). Suppose n*a + 4*z = 1199992, 4*z + 2394848 = 4*a - 5160. What is a rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6347043 millilitres to litres.\nAnswer: 0.0006347043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, w: 3, e: 1}. What is prob of picking 2 w and 1 n?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 172992757*r**4 + 378866159 wrt r?\nAnswer: 691971028*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 4*q + 5*q + (-2*q + 3*q + q)*(-2 + 0 + 1) + 2*q + q - 5*q + 0 - q + 0 - q + 3*q - 4*q - q - 2*q + 2*q + (2 + q - 2)*(0 + 0 - 2) - 2*q - q + 2*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**2 + 85 + 2*n - 85 in the form h*n + t + d*n**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m + 33*m - 10045 = -172*m - 100*m for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 178596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67292, -134584, -201878, -269174?\n\"Answer: -g**2 - 67289*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 + 182 + 2 + -107?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 8:51 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2082.9 + -2182. Let r = v - -99.14147. Let s = r - 0.042. What is s rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 536, -11997, -32884, -62125, -99720, -145669?\n\"Answer: -4177*b**2 - 2*b + 4715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 5*b + 8. Let q be y(-6). Let r = q - -7. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2. Let u be (49\/(1029\/(-9)))\/(1\/(-70)). Let z(k) be the third derivative of 1\/12*k**4 + 0*k**3 + 0*k + 0 - u*k**2. Determine z(o(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -975329 in decreasing order.\nAnswer: 3, 2, -975329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 8*t**2 - t - 4. Let g be z(-8). Suppose -2*s - 3*s + 55 = 2*h, -h + 44 = g*s. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3822 and 8736?\nAnswer: 61152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = -4*g, -4*g + 14 = 2*r - 0. Let y be -2 - (r + (-58)\/18). Put y, -13, -0.4 in ascending order.\nAnswer: -13, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94493.3 litres to millilitres.\nAnswer: 94493300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t + 4*o = -49, 5*o = t + 10. Let n be 6 + (3 + t)\/3. Suppose -4*u + 248 = n*s, 4*u = -u + 2*s + 310. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 - 8*d**2 - 5*d**2 - 14*d**2 - 5.\nAnswer: -6*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2 + 6 = 2, -14*m + 22 = -2*c - 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 334699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 3*v + 37. Let t = v + -23. Let k be t\/21*(-98)\/(-21). Solve -3*p = -k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026*t - 183 = -1030*t - 3*k, 0 = -2*t - 3*k + 87 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + 203\/2. Suppose -2*u = -h + 8, 3*u + 2*h = 2*u + 1. Let j be (4\/3)\/(u\/9). What is the second biggest value in c, j, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (0 + -4 + 2). Let l(b) = 2*b + 10. Let c be l(-4). Let f be (-6 + 2)\/(-16 - c). What is the third smallest value in -1\/3, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.39, -26, 0.001, -98?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b - 14. Let j(c) be the third derivative of -5*c**4\/24 + 5*c**3\/6 - 5*c**2. Let l(d) = -17*j(d) - 6*k(d). Let i = -134 + 135. Give l(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111976 and 160629572?\nAnswer: 321259144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*x + 4)*(1 - 6 + 3)*((-3 + 3 - 2*x)*(293 - 162 + 377) + 0*x + 4*x - 5*x).\nAnswer: 4068*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-40)*((-96)\/(-84))\/(300\/75)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/15, 1\/8, 87, -0.4 in decreasing order.\nAnswer: 87, 2\/15, 1\/8, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide -9*1 - (-1586375)\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 181944 and 498.\nAnswer: 182442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f + 4. Let p = -25.33 - -1.43. Let x = p - -22.9. Which is the second biggest value? (a) f (b) x (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Let t be 1\/(-2*r\/(-6)). Suppose -3*q = -q - 4. Solve 9 + t = q*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 + 280*f**4 + 544*f**3.\nAnswer: 4*f**3*(f + 2)*(f + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -103, -105?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*a, -a + 4*a + 2*z = 0. Suppose a*k = k - 41. Suppose 4*s = -5*w + 20 + 67, -w + s = -12. Calculate the remainder when k is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -14416?\nAnswer: 14432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3121000122 (base 4) in base 2?\nAnswer: 11011001000000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148143920 by -10.\nAnswer: -14814392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o - 23. Let f(m) = 6*m - 4. Suppose 3*u - 3*d - 21 = 2*d, -4 = u + 2*d. Let s be f(u). List the prime factors of i(s).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -96*k**3 + k**2 - 214*k + 4. Let n(p) = 193*p**3 - 3*p**2 + 433*p - 7. Let s(o) = 7*g(o) + 3*n(o). What is the third derivative of s(q) wrt q?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -20*s**3 + 5*s**2 + 11*s - 12. Let a(i) = 22*i**3 - 4*i**2 - 10*i + 13. Let x(h) = -3*a(h) - 4*q(h). Is x(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191124831 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:24 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14*y**3 + 56*y**2 - 2*y + 2. What is c(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 7*x**2 + 5*x - 3. Let r be k(-6). Calculate the common denominator of 9\/r - 492\/40 and 12\/40*(-2)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*z + 36, 2*z = -5*y - 2*z + 40. Suppose -g - 3*h = -3*g - 10, y*g + 5*h = -20. Let o = g - -11. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -4*d. Suppose 0 = -4*p + p + d. Suppose -j = -2*j + 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 -l - l + 4 = 5*j, j - 3*l = 11. Suppose 4*k = j*k - c + 44, 3*k + 4*c = 61. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1142, 1167, 1202, 1253, 1326, 1427?\n\"Answer: c**3 - c**2 + 21*c + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-11) - 2607\/(-363)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**7\/1680 + r**6\/360 - r**5\/240 - r**4\/24 - 2*r**3 - 3. Let o(g) be the third derivative of d(g). Factor o(u).\nAnswer: (u - 1)*(u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + aaa25b?\nAnswer: aaa270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3238 = -142*x + 880. Calculate the remainder when 2608 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 4, x: 1, v: 2, c: 2}. Give prob of sequence cm.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 7*b**2 + b + 6. Let g be a(-7). Let k(s) be the second derivative of -4*s**3\/3 + s**2\/2 - 2252*s - 3. Determine k(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -267 - -271. Suppose 2*a + 38 - 42 = 0, -2*k = v*a - 48. Calculate the highest common divisor of k and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**5 + 6*s**4 + 4*s**3 - 6*s**2 + 6*s - 3. Let g(v) = 22*v**5 + 25*v**4 + 17*v**3 - 25*v**2 + 26*v - 13. Let h(b) = -26*a(b) + 6*g(b). Factor h(x).\nAnswer: 2*x**2*(x - 3)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/23 (b) 4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484101689.\nAnswer: 21661, 22349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (-2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03303 and -2527396.56.\nAnswer: -2527396.59303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 97 - 28. Suppose 2*x - 35 = 7*x. Let c = m + x. What is the greatest common factor of 40 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 801559172 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 175039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k - 645 = -19*k + 31*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6469773.\nAnswer: 3, 971, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -219 + 196. Let t be 432\/(-20) + 2\/(-5). Is d less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2991*u**2 + 6 - 2990*u**2 - 6.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 2*q**4 - 14*q**3 - 2 + 11*q**3 + 2 - 5*q**2 in the form b*q**2 + p*q + a*q**4 + n + r*q**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53554*-1647.5.\nAnswer: -88230215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-122)\/(-14) + 2\/7. Let d be (-646)\/114 - (-3 - -2)\/(-3). List the prime factors of 304\/d*q*15\/(-36).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**3 + 5*j**3 - 2*j**3)*(4 - 3 + 0) + 2 + j**3 - 2 + 2*j**2 to f*j**3 + z*j**2 + k + n*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -163*k**2 - k**3 + 138*k**2 + 2*k**3 + (2*k - 1 + 1)*(-2*k**2 + 1 - 1) + 43*k - 43*k - 25*k**3.\nAnswer: -28*k**3 - 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m + 4. Let u(c) be the first derivative of 3 + 1\/3*c**3 + c + 3*c**2. Determine u(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -1228?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-82)\/(-189) - (-2)\/(-7). Let s(x) = -x**2 + 28*x - 1. Let i = -38 - -66. Let u be s(i). Which is greater: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1595\/(-203))\/(22\/(-308)))\/(-2).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8280?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-9) + (-4)\/(-18). Let r be (-16)\/j*1\/(-6). Let t = 952.05 + -952. Which is the third smallest value? (a) r (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*a - 3588. Let k be 2\/(-3) + a\/(-6). Let t = k + -90. What is the greatest common factor of t and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 668*n - 8. Let p be v(6). Let a be p*(251 - (1 - 0)). Suppose 3*t + a = 4*t. Round t to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4590457?\nAnswer: -4590453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1602219.48 to the nearest 10000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*h = -12, -3*d + 2*h + 8 = 2*d. Suppose 3*w - 132 = -2*w + 4*f, 3*w + 5*f - 57 = d. Suppose 8*b = 10*b - w. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i)**(-19))**(-1\/6)\/((i**(-7)\/i**5)\/(i**(2\/9)*i**(2\/19))) assuming i is positive.\nAnswer: i**(3133\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 247 (b) 4 (c) -3 (d) -0.4 (e) 0.0195\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 3)*(19*h + 3 - 1 - 1) in the form g + v*h and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2 + 2 + (-4 + 3 + 3)*(2*t - 4*t + 3*t))*(-19 - 11 + 10)*(3*t**2 - t**2 - t**2).\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/8)\/((-3)\/(-8)). Solve -w - 14 = -4*h - b*w, 3*h - 11 = -2*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 43*z - 126*z + 32. Suppose 1 + 7 = 4*g. Solve z = -3*d + 2*q + q + 21, -g*q = 2*d + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2011954 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-18 + 64 + (0 - 11))) + 14 + -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from wccbikkwwwzczziwwc.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -5 - (-5 - -2)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47477 is divided by 2486.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-26)\/(-8) - (-3)\/(-12). Solve 2*o + 3*y = 13, 4*o - o + 2*y = h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k + 3. Let u be (3\/21)\/((-3)\/(-6)). Let m be (129\/(-516))\/((-3)\/4) + 35\/147. Put m, k, -2\/7, u in increasing order.\nAnswer: -2\/7, u, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 123*w**2 - 123*w**2 + 48*w**3 + w**3 - 2*w**3 + 2*w**3 + (-w**3 - 2 + 2)*(1 + 0 - 2) - 4 + 4 + 2*w**3.\nAnswer: 52*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 1 - 4*s + 1\/2*s**2. Suppose -2*j - 15 = 5*c, -4*j + 30 = -3*c + c. Calculate m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2144*q - 40. Let h = 51 + -66. Let y be t(h). Round y to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 4*q - 62375 = 8*r, 2*r - 3*q = 41585. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5983112 divided by 2991556?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4220*y + 113934. What is p(27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*f = f + 31, -26 = 2*m + 2*f. Does 6 divide (1 - (-9)\/(-6))*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/32 and 59\/1015326.\nAnswer: 16245216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 + 2*w - 2. Let y = 10 + -8. Let r(j) = -j**3 - j**2 + j. Give y*r(o) - q(o).\nAnswer: o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 92893.\nAnswer: 5\/92893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20916384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7615813993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - t - 40. Let q be k(16). Let a = 4 - 4. Suppose 14*h - 10*h - q = a. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 5. Calculate the highest common factor of r and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 8*o - 5*o + (-2 + o + 2)*(-4 - 2 + 5) + 0*o + 3*o - o + (-2*o - 4*o + 2*o)*(-2 - 3 + 3) + o + o + o to the form s + n*o and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 367570 and 356.\nAnswer: 735140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, o: 1, x: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -15*k**2 - 9 + 2*k + 0*k**3 + 5 + k**3 - 3. Suppose 4*w - 20 = -2*p - 0, -5*w + 24 = 3*p. What is the remainder when y(15) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/3 (b) 0.4 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g**2. Let q(n) = -n**2 + n. Let b(l) be the first derivative of -56*l**3 + 98*l**2 + 223. Let o(x) = b(x) - 196*q(x). Calculate o(z(u)).\nAnswer: 3388*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -5, -37, -93, -179?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + d. Let c(j) = 2*j**2 - 9*j + 4. Let m = -53 - -49. Let n(y) = m*g(y) - c(y). Determine n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3924, -3896, -3836, -3726, -3548, -3284?\nAnswer: -2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4 = 3*t, -6*v - 2*t = -8*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2 - 8. Is 0\/(-4) - (0 + u) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3416 and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 times 3?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssehjoor. Give prob of sequence es.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 769, 1170, 1589, 2032, 2505, 3014, 3565?\nAnswer: 4164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 956 or 938?\nAnswer: 938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppn when three letters picked without replacement from {n: 2, p: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -89, -13, -4 in increasing order.\nAnswer: -89, -13, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 9*y**2 - 9*y - 3. Let x be n(-10). Let f(t) = -t - 13. Let i be f(x). Let j = -47\/102 + -2\/51. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -12*g**2 - 59*g - 2. Determine c(-6).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700355.7g to micrograms.\nAnswer: 700355700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 20033?\nAnswer: 20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*a)*(-a**3 - 3*a**3 + 16*a**3) + (a**4 - 4*a**4 + 4*a**4)*(-1 + 1 - 2).\nAnswer: -38*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 505, 1010, 1515, 2020, 2525?\nAnswer: 3030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 5:00 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-16 - -1) + -99 + 107)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/3, 0, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396336, 396333, 396330, 396327?\nAnswer: 396324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1869 in -3, -4, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 182*1.06216\nAnswer: 193.31312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1474000733 to the nearest integer?\nAnswer: 38393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 533988 and 66.\nAnswer: 5873868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, 380, 1145, 2216, 3593, 5276, 7265?\nAnswer: 9560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1596 and 149\/167328?\nAnswer: 3179232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43567.5 rounded to the nearest 100?\nAnswer: 43600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4996*0.09.\nAnswer: -449.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4014 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1304\/(-186) + 7)\/((4\/16)\/(303\/(-808))).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*k**2 - 3*f**3 - 167*f**2*k**2 + 9601*f + k**2 wrt k.\nAnswer: 4*f**3*k - 334*f**2*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 14 + 5 + 22\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 448231013 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*k**2 - 13*k**2 + 13*k**2)*(-8 - 5 + 4).\nAnswer: -153*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 665\/38*(-12)\/(-21). Solve -121*f + 126*f = -g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - r + 80 = -5*r, 0 = 4*c + 4*r + 308. Let i = c - -84. Solve -2*f - i = 2*f + 4*o, -3*f = 4*o + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 15*k**2 - 11*k + 67. Let g be x(16). Let z = 377 + g. Solve 4 = 5*p + r + z, -2 = -r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 22, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/9 + 26150*a**4\/9 + 29121968*a**3\/3 + 12264638464*a**2\/9 - 63510609920*a\/9 = 0.\nAnswer: -6464, -152, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (8 - (5 + (9 - 7))) + (-31 - 3)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-22 - -26 - (-6 + 5))) + (6 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.57221 - -0.02779. Which is the nearest to 3\/8? (a) -2\/13 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-2\/17)*h))\/h)**(-2\/39)*(h**1)**(-35\/6))**(-49) assuming h is positive.\nAnswer: h**(376075\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 33*v - 8. What is the lowest common multiple of 132 and r(-17)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29556 (base 15) to base 7\nAnswer: 1062156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 368227, 736435, 1104645, 1472857, 1841071, 2209287?\n\"Answer: v**2 + 368205*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025110049 to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 2. Let a = 44 + -50. Let j(i) = -i - 2. Give a*y(s) - 4*j(s).\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5138908.93 rounded to the nearest 1000?\nAnswer: -5139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 6*p + 10. Let y = -375 + 384. Suppose 883 - 838 = -y*d. What is i(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -3136101\nAnswer: 47041515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g + d, 1 = -2*g - 3*d - 1. List the prime factors of g\/2 - 246\/(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, -7, -2, -54, -1\/11, -5, 1\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185213107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205979?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*s + 39 = 0, 4*s + 68 = 5*j + 2*s. Suppose -3*q = -1 - j. Solve -q = 2*z - z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*g + 71*g = 120 + 624. Suppose 3*m = -v + 29, 5*m = 4*v - 28 + 99. Solve m*l + g = 8*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u + 29. Let v be r(4). Let o(w) = w**2 - 8*w + 7. Give o(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + -94 + 18 - (0 + -9 + (3 - 1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32582 * -0.01461\nAnswer: -476.02302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-495 + 727 - 802)*(-2 + 2*s + 2) to the form z + a*s and give a.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 5\/3, 20, 56, 2.132, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21380431277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:17 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94611273.\nAnswer: 3, 17, 1855123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1)\/1 + -3. Let d be -3 + 26\/2 + i. Suppose -d = -2*j + v - 2, -j - 5*v = -3. Solve -4*x = -a - 5*x + j, -5*x + 12 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.94 + -55. Let t = -0.06 - r. Let w = -3 + 1. Which is the second biggest value? (a) 0 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992891109?\nAnswer: 3, 7, 47280529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/37257300 and 89\/22354380.\nAnswer: 111771900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 497982555?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 180243819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -596*d + 19168. Determine k(33).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901\/5 less than or equal to 381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2522*(-8 - 0)\/16 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppphhffh. What is prob of picking 3 h and 1 p?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1320)\/(-80))\/((-6)\/(-4)) + (4 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 97205, 117118, 137029, 156938, 176845?\n\"Answer: -d**2 + 19916*d + 77290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/12 - 38\/(-12). Suppose 2*b + 37 = -a. Is 2426*((-8)\/b + (-1)\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + u + 5*o = 14, -3*o = 2*u - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 7*u**2 + 5*u - 10. Let m be ((-9)\/63)\/((-20)\/105)*-8. Give q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*a - 8705 = 54*a + 28123 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3776598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6755914*v**6 + 4*v**4 - 368498435*v**2.\nAnswer: -810709680*v**3 + 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -97158.\nAnswer: 10\/48579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 796933671 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*f + 24. Let z(i) = -6*i - 9*i**2 + f*i - 1 + 0. Give z(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = -p, 0 = 5*k + 3*p + 12. Let c(m) = -2*m + 0 + k. Let h(l) be the first derivative of 7*l**2 + 366. What is h(c(r))?\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*i = 2209 + 2551 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 20*g**2 + 26*g - 20. Let f be j(21). Let z = f - 81. Suppose 8*m - z*m = -b + 2733, -13648 = -5*b - 3*m. 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 sequence yy when two letters picked without replacement from yyeeyeyyeeyyyeeeeyy?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcdddfvddbvbb. Give prob of picking 2 d.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3\/6 - 2*s**2 + 7*s. Calculate h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 123*i + 49)*(2*i - 5*i - 3*i)*(-i + 2*i - 2*i).\nAnswer: 738*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(1\/2)*n)))\/(n\/(n*(n**3*n)\/n)))\/((n**(-4)\/n)\/n*n*n*n*n**(-3)*n)*(n**2*n**(-1\/7))\/((n\/(n*n**(3\/8)*n*n))\/n**1) assuming n is positive.\nAnswer: n**(825\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65502.\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 21*o**2 - 43*o - 38. Let t be n(-12). Solve -3 = -49*r + t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509660256 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -123762560 divided by 386758\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2998 divide 247810332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.3 - 5.09. Let n = g + -0.01. Let p = 718 + -2871\/4. Which is the third biggest value? (a) -0.4 (b) -2 (c) n (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -28, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 281*x**2 - 835*x - 339. Give o(-278).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 + 396 + 57*r**2 - 194.\nAnswer: 57*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-9)\/3 + -134). Suppose -a = -4*g + 5*w, -2*w = -2*g - 2*g + 142. Let y = -82 - -86. Calculate the smallest common multiple of g and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27846 or -1\/3?\nAnswer: 27846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5223*j - 2625*j - 2595*j. Let x(p) be the first derivative of p**5\/30 + p**2\/2 + 1. Let u(i) be the second derivative of x(i). Determine u(t(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 1\/2*r**3 - 3*r**2 + 1\/60*r**5 - 1\/12*r**4 + 0 + 0*r. Let f = 8 + -6. What is d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpvkpvapppta. What is prob of picking 2 a and 1 v?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*l = 100, 2*b + 2*l = -b + 61. Solve 5*t = 7*u - 3*u + b, 1 = -2*u - t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from popl. Give prob of picking 1 l and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 58, 57, 56, 55, 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 5*m**2 - 6*m + 4. Let g be o(6). Does 24 divide 159\/g + 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u, 4*z - 833 = -u - 272. Suppose 0 = -5*d + 40 + z. What is the remainder when d is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/102269424 and 151\/127836780?\nAnswer: 511347120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -12*t + 11*t + 12367, 24758 = 2*t + 4*v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {h: 6, v: 2, s: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1365 and 171080.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13\/4 (b) -5 (c) -3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -18 + 14 + 27?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-1)\/1 - -1. Let j(h) = h**l - 4 + 4. Is j(2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*j**2 - 5161 + 4*j - 108*j**2 + 5169.\nAnswer: -2*j**2 + 4*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 256258785 to the power of 1\/3, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 8*t + 10. Let g be k(11). Let u = -12 - g. What is the highest common divisor of 121 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 4*w - 52. Let m(k) = 8*k**3 - 196*k**2 + 4416*k - 8094. Let b(f) = -7*f**3 + 194*f**2 - 4415*f + 8095. Let y(v) = w*m(v) - 6*b(v). Factor y(o).\nAnswer: 2*(o - 45)**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96897 divided by -2640?\nAnswer: 32299\/880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**7)\/u*u*u)\/u*(u*u\/((u*u**(-7)\/u)\/u)*u)\/u)**(-9) assuming u is positive.\nAnswer: u**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42 and 27394.14?\nAnswer: 27436.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 576*q + 552130. What is m(1085)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7362423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 22*g - 24*g**2 - 4 + 7*g.\nAnswer: -24*g**2 - 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2376603 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111010000 - 1100011?\nAnswer: 1010101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1125\/450)\/(2\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4 + 10 + 6*a - 6. Let g(d) = -11*d**2. Determine m(g(p)).\nAnswer: -66*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v + 25*v**2 - 2*v**3 + 1 - 5*v - 29*v**2 to the form w + y*v**2 + t*v**3 + a*v and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -529 - -717. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36020681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-680))\/((3 + -8)*1\/25).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1504\/122393?\nAnswer: -1504\/122393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 9. Suppose c - 33 = -10*o + 5*o, -60 = -4*c + 4*o. Let x = -16 + c. Suppose w + x*w = 15. Determine d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606790161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, i: 5}. What is prob of picking 4 t?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (-24)\/(-80)*178)\/((-112)\/280).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1095236*f*m - 57316033*f + 37*m wrt m?\nAnswer: -1095236*f + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) - 34\/(-8). Suppose -s + 4 = -2*u. Let c = 1 + 0. Is u >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*h + 23*h = 23*h - 101605000. Round h to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 5\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-3 - -2)*-5. Let p(w) = 2*w - 5*w**3 - 3*w**2 - 3 + w**3 - o*w. What is the tens digit of p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 6123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d + 986 - 488 - 691.\nAnswer: 25*d - 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -32\/15?\nAnswer: -32\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608747?\nAnswer: 31, 73, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*v**4 + 1560*v**3 - 575*v**2 + 574339568*v.\nAnswer: 48*v**2 + 9360*v - 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (9 + (8 - 19) + -5) - 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/13 + 56\/195. Let p be 2\/1*-1*29\/261. What is the third biggest value in p, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302 by 151.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 14*f - 5. What is w(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = 2. Suppose -33 = h*a - 223. What is the highest common factor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 113?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3642783, 7285479, 10928175, 14570871?\n\"Answer: 3642696*h + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 197? (a) -15 (b) -3\/5 (c) 2 (d) -1\/8 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 7*o. Calculate w(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a - 11. Suppose -g - 5*t = -20, -5*g = 21*t - 23*t + 35. What is d(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96980078.\nAnswer: 2, 13, 3730003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156.62 + -157. Let x = s + -1.22. What is x rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8)\/((-21)\/(-84)). Let g = 24 - s. Let q be 46*(4 + -5 + 3). What is the greatest common divisor of q and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2327, 2899, 3547, 4271?\nAnswer: 5071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + 3 + sqrt(11) + sqrt(99)\/sqrt(9) + -3 + 2).\nAnswer: -6*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 20*f - 7. Let u be i(4). Find the third derivative of 2*d**3 - 74*d**2 + 5*d**3 + u*d**2 wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6067, -5866, -5539, -5092, -4531, -3862, -3091, -2224?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 5*r + 8. Suppose -5*m + 15 = -80. Calculate the least common multiple of q(-6) and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*l + 192 = -234*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-247 - -8 - -142).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 35 + -31 + 26.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 10. Let p(j) be the second derivative of -j**4\/3 - j**2 - 622*j + 11. Determine p(g(v)).\nAnswer: -36*v**2 + 240*v - 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -426268\nAnswer: 20887132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44968*t - 44717*t = -1004 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-7)\/(-315)*5)*6\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 14 = 2*m, 10 + 14 = 3*m - 3*k. Suppose 0 = 3*b - 9, 3 = 3*f + b - m. Differentiate 2 + 4*d - d - 3*d - 7*d**f wrt d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m + 4. Let u(w) = -3 + 12 + 20*w - 5*w. Let q be (-168)\/504 - (1 - 28\/3). Let o be (7 + 49)\/q - 9. Give o*u(p) + 5*v(p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/831331 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -s - 4*h, 0 = -576*s + 572*s + 2*h - 28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -310*y**3 - 5*y**2 + 5*y - 2. Let k(x) = -x**3 + x**2 - x. Calculate -5*k(b) - o(b).\nAnswer: 315*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 3*d)*(-7*d**3 + 2*d**3 + 4*d**3) + 8*d**4 - 2*d**3 + 106*d + 100*d - 212*d.\nAnswer: 10*d**4 - 2*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -9*n - 1038. Suppose -1340 = 5*r - 0*r - 5*f, 4*r = 5*f - 1074. Let m = n - r. What is the remainder when m is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*4\/32)\/(9*13\/(-3393)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.0381154 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x. Suppose 2*d = -x*d + 10. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69359574 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-165)\/10*4\/(-3). Let j = -12 + r. Suppose j - 7 = z. Solve 13 = 3*i - i + z*v, 3*i = v + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 22*l + 18. Determine m(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-6)\/(-12)) + -9 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16609789 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378760 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*p + 4*p - 164 + 161)*(p - 4*p - p).\nAnswer: 76*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881015 not equal to 1881018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3320 - 120201?\nAnswer: -111331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*c - 124 = 0, 118*c + 8 = 122*c. Let t(i) = -2*i**3 - i**2 - 1. What is the remainder when n is divided by t(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(5\/6)*p**(-9)*p)**22*(p**11\/p*p\/(p\/p**(-4\/7))*p)**(2\/9) assuming p is positive.\nAnswer: p**(-9325\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -75669, 8 in decreasing order.\nAnswer: 8, 2, -75669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6650000 rounded to the nearest 100000?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*w - 4 + 14, 5*w = -3*r - 19. Let b be (-9 + 6)\/(r\/2). List the prime factors of 10\/(1*b\/4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(3\/31)\/f)\/(f**(-44)\/f))\/(f\/(f**30*f)*f**(-5\/11)))**(-3\/22) assuming f is positive.\nAnswer: f**(-38133\/3751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 96056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -2*sqrt(204)*-6)\/(-1*sqrt(72)\/sqrt(6)) + (sqrt(1224) + 2*sqrt(1224))\/(3*sqrt(98) + sqrt(2)).\nAnswer: 130*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319255 is divided by 1725.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19116781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -4\/345?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 500*y**2 - 110*y - 190. Determine c(-1).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, 1\/4, -3, -7335, -0.8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 <= 18014\/1723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h - 102. Calculate a(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3 + 0 - 8*o + o**2 - 3. Is h(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 12:26 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 12 = -4*k, -y + 16 = 3*k + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -441248094 divided by -1?\nAnswer: 441248094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 151*l + 942. Give x(0).\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, -7, -25, -41, -55?\n\"Answer: h**2 - 23*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1))**(-50)\/(l*l**4*l\/(l*l*l**6*l)))\/((l\/(l*l**(3\/2)\/l)*(l*l*(l*l**(-1\/8))\/l)\/l)\/(l**(-1\/4)*l**0)) assuming l is positive.\nAnswer: l**(-781\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8053 divided by -1.\nAnswer: 8053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6)\/(w*w**6*w))\/(w**(-1))**(3\/4) assuming w is positive.\nAnswer: w**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 1. Let y(u) = -150*u - 414 - 36*u - 1667 - 436 - 3*u**2. Let h(g) = -6*v(g) + y(g). Solve h(f) = 0 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-11)*n))\/(n\/(n**(-15)\/n))*n\/n**(-4\/7)*n*(n**(-10)*n)\/n assuming n is positive.\nAnswer: n**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/122393?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388187 is divided by 4755?\nAnswer: 3032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = t, -3*o + 27 + 18 = 4*t. Let k(c) = c - 1. What is k(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -127*h**3 + 5*h**2 - 3*h + 3. Let d be 3 - 5 - (-3 + 4). Let n be i(d). Let u = n - 2445. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51412831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6690 = 2*j + f - 6697, 4*j = -4*f + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1415*h**5 + 15*h**2 - 39?\nAnswer: -84900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414 and 420348.\nAnswer: 1261044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h**3 - 7*h**2 - 169*h**2 - 39*h**3.\nAnswer: -2*h**3 - 176*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/270 and -121\/3390?\nAnswer: 30510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 3:38 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 7 - 31 = 0. Suppose y = -v*y + 2*y. Put 7, y, 1 in increasing order.\nAnswer: y, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5609 times 376?\nAnswer: -2108984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 77*f**2 - 22*f - 22. Let v(z) = 17*z**2 - 5*z - 5. What is 5*g(o) - 22*v(o)?\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 5*s - 4*l - 839, 3*s - 4*l - 428 = 0. Calculate the remainder when s is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36\/11? (a) 0.2 (b) -18 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.032 (b) -0.2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.2 - 5. Let w = 0.12 + 1.88. Let q = w - l. Put 0, -2, q in descending order.\nAnswer: q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -13*n + 2961. Suppose -3*u = 3 + 6, 3*i - 3*u - n = 0. What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**2 + 2*c**2 - c**3 + 5*c + c**2 + 2. Let p be q(-4). What is the common denominator of 8\/7 and ((-303)\/90)\/(p\/6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20014769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -13, -10, -7, -4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 66. Let i be 3\/((-3)\/(-4)*2). Suppose 0 = -3*g + 2*z - 20, -2*g + 5*z = i*z + 15. Which is greater: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 2. Let z be h(0). Let b be (2 + 0 - z)\/(-1). Suppose g = -g + 4. What is the second smallest value in 2\/7, b, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 118 = -q. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2149*l**2 + 2407*l**2 - 3882*l**2.\nAnswer: 674*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 15) to base 7\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 - 115. Calculate the greatest common divisor of c and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395337032 a multiple of 1578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let z be x(1). Let s = -1 + -3. Sort 2, s, z in descending order.\nAnswer: 2, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 9) + 2\/(-2). Does 19 divide 57\/(x\/8*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -39, -82, -141, -216, -307, -414?\n\"Answer: -8*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 74. Suppose -47 + r = -15*o. Suppose -5 = 2*m - 5*l, 5*m + o*l = -0*l + 3. Solve m = -4*b + 3*i + 13, -4*b + i = -1 - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from cccccoceco.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + (8 - 4) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/189 - (-92)\/9. Calculate the greatest common factor of 160 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 2. Suppose 2*u - 6 = 4*u. Is 370\/x - 1\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 47. Let s be g(11). Solve 0 = 4*k - 2 - s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 27*a**2 + 63*a + 735.\nAnswer: -3*(a - 5)*(a + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x**2. Suppose 9*m = 4*m. Let w(b) = 16*b + 4*b - 3*b - 5*b + m*b. Determine w(k(g)).\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:57 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5) + (-17 - -8 - -21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4958, -2\/13, -1\/4 in ascending order.\nAnswer: -1\/4, -2\/13, 4958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-98))\/(3*4\/84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8130829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 445403714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411792\/59 or -0.012?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 147*k**2 + 4696*k + 324. What is l(174)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 - 32*q**4 + 1092*q**3 - 1024*q**2 - 1090*q + 1056 = 0. What is q?\nAnswer: -33, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9382941?\nAnswer: 3, 19, 37, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + -8 + 5 + 1 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5798, 5807, 5838, 5903, 6014?\n\"Answer: 2*k**3 - k**2 - 2*k + 5799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 m when four letters picked without replacement from {w: 3, m: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + -28777a1?\nAnswer: -2877757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 - 3*q + 3. Let w(m) = -84*m**2 - 35*m + 35. Calculate -35*h(u) + 3*w(u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - 2*m**2 + m - 1. Let u(i) = -2*i**3 + i. Let g be u(-1). Let f(b) = -b**3 + b**2 - b + 1. Determine g*f(z) + j(z).\nAnswer: z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - b + 140 = -22, 4*d + 5*b + 150 = 0. Let a = d - -43. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4*t**3 - 29*d**4*t + 3*d*t + 3*t**3 - 75 wrt d.\nAnswer: 8*d**3*t**3 - 116*d**3*t + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*c + 66, -16*z = -c - 1929 + 1906 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from hkhhyykpykhkhkyk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/16012 and 50\/36027.\nAnswer: 144108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (99 - -1)*(-2)\/5. Let q be (2\/4)\/((-4)\/u). Suppose -2*a = -q*a + 24. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52563, 52600, 52707, 52920, 53275, 53808?\n\"Answer: 6*x**3 - x**2 - 2*x + 52560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78208.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - 5. Let s = x - -22.3. What is the second smallest value in 1\/4, s, 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 53, 126, 229, 362, 525?\n\"Answer: 15*q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20368.\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -9189\nAnswer: -1837.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 0.16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5309469 is divided by 106?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ac4254 + -4?\nAnswer: 1ac4250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let y(t) = -476*t - 9525. Let i be y(-20). Which is the nearest to k? (a) 1\/6 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 703\/66 + (-3)\/(-54)*3. Which is smaller: x or 11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 25. What is the third smallest value in 2\/9, -1\/10, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593045430 to the power of 1\/2, to the nearest integer?\nAnswer: 24353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5, -209, 2\/21, 4.31, 5\/3 in decreasing order.\nAnswer: 5, 4.31, 5\/3, 1\/2, 2\/21, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116 times -3?\nAnswer: -3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 12226077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53665 is divided by 26819?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232331 to the power of 1\/2, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 98*b + 182. What is l(-47)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 39 = -4*n + 3*q, -4*q - 10 = 5*n. Let v be ((-5)\/(-15))\/((-1)\/n). Solve -3*s + s - 13 = -5*d, -v*d + 2*s + 10 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 45*l - 9 + 5.\nAnswer: 45*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693\/3465*5*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 34*p**2 + 4*p - 19. Let z be w(-6). Suppose 5*n + 136 = z. Calculate the highest common factor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7871783 is divided by 171.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 3 - -4) + 131?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -175\/6. Suppose 3*u - 237 = 5*s, 0 = -0*s - 2*s + 2*u - 98. Let f be -2 - 100\/s - (-46)\/36. Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in 4, -2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -316 - -319. Find r, given that 0 + 27\/4*r**4 + 18*r**f + 39\/4*r**2 + 3\/2*r = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7 = 3*m. Let r be (-6)\/(-21) + 166\/m. Suppose -10*l + 6*l = -r. Calculate the highest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or 0.09?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 92*q - 192*q + 95*q. Let f(h) = -5*h**2 + 7*h. Let t(s) = -3*s + 4*s**2 - 3*s**2 - 4*s**2 + 5*s**2. Let w(p) = -3*f(p) - 7*t(p). Calculate b(w(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -17*c**7\/6 + 109*c**4\/6 - c**2\/2 + 41*c + 4. Find the third derivative of l(w) wrt w.\nAnswer: -7140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmm when three letters picked without replacement from gmgggmg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/40 and -97\/992300.\nAnswer: 1984600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 33*c = -5*r + 29, 2*r = 3*c + 30. Calculate the smallest common multiple of 112 and r.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310113102 - -32?\nAnswer: -310113010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 57*a**2 + 261*a + 55. Let t be w(-52). Factor 1\/2*h + 3\/4*h**t - 5\/4*h**2 + 0.\nAnswer: h*(h - 1)*(3*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9*-22*(-91)\/(-3003)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 7 + 118)*(-2*o**2 - 5*o + 3*o**2 + 2*o).\nAnswer: 82*o**2 - 246*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102))\/sqrt(6))**2 + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/350)\/(198\/(-825)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 321, 495, 687, 903, 1149?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12334, 48843, 109522, 194371, 303390?\nAnswer: 436579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + -2 - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -209 - 66 - 78*d + 6*d + 275. Let u(n) = 3*n - 9. Let x(f) = f - 4. Let k(j) = 4*u(j) - 9*x(j). Calculate r(k(b)).\nAnswer: -216*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21 - 27)*(-2)\/(-12). What is the smallest value in -0.05, j, 1, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 181 = -280 + 24 - 11 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/504*-9 - (-130)\/(-16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 512, 2058, 4640, 8264, 12936, 18662, 25448, 33300?\nAnswer: 42224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 1937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-18)*(-24)\/(-2). Let d be (1\/c)\/(-1)*-7. Let i(y) = -y - 2. Let s be i(-2). Is d bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 60. Calculate the greatest common divisor of 12 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-20))\/(6\/20). Solve 6*t**2 + 2*t**4 + 9\/4*t + 1\/4*t**x + 0 + 11\/2*t**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7999 or -8000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, 1, -3, -1, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-3)\/3)*2. Let h be 3*((-24)\/(-9) + i). Find the common denominator of 5\/3 and (-67)\/h*4\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 11. Let i be ((-15)\/l + -1)*0. Sort 4, -4, i in descending order.\nAnswer: 4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5151072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c + 53*c - 2*v - 8 = 0, -2*c + 3*v = -20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 193589106066 + -5.\nAnswer: 193589106061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -115.2. Let q = -4.2 - x. Let m = q - 12.6. What is the nearest to -13 in m, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:31 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -165, -250?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 205, 366, 519, 658, 777?\n\"Answer: -n**3 + 2*n**2 + 162*n + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 510, -1, 2, -5, -2.\nAnswer: -5, -2, -1, 2, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -243450?\nAnswer: 243441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 5 + 617*h**2 - 2 - 1105*h**2 + 480*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 301*s + 673. Let x(i) = -139*i - 336. Calculate 6*d(p) + 13*x(p).\nAnswer: -p - 330","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3590318175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141220 (base 5) to base 16.\nAnswer: 16b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-13 - (4 + -11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 15*i**2 + 8*i. Let p be t(15). Let w be 75\/6*4 - 2. Calculate the greatest common divisor of w and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(55) - (-1*sqrt(5500) - sqrt(5500) - sqrt(5500))))\/(sqrt(110)\/(sqrt(20)\/sqrt(2))) + ((1*sqrt(180) - sqrt(180))*1 + sqrt(180) + -2)**2.\nAnswer: -54*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 699\/(-36) + 19\/76 and 85\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b + 42*b - 22*b - 20*b**2.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1774 - 4516 = -6*h. Is h a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150009 bigger than 150008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 14) in base 16?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -446427\/2749516 + 1\/35708. What is the common denominator of 131\/132 and z?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2835638 and 19\/12.\nAnswer: 17013828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 n, and 2 k when four letters picked without replacement from krnbbkxbkxkr.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a4 - 3?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 141 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40882, 40904, 40960, 41068, 41246, 41512, 41884?\nAnswer: 42380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*n + 557*n = 5372 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 326*l - 3 - 138*l - l.\nAnswer: 187*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142\/(-16) - -10)\/(6\/(-8)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/10098 and 89\/44154?\nAnswer: 2251854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164889024 and 8.\nAnswer: 164889024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose 2*v - x - 12 = 0, -4 = d*x + 2. Suppose 2*z = -v*n + 3*n + 8, 0 = 3*n - 3*z. Solve 5*a = 3*s + 40, -n + 7 = -4*s - 3*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -955*z**4\/2 - 4442*z + 3755. Differentiate v(h) with respect to h.\nAnswer: -5730*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 272 = 0. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**4\/6 - 4*i**3 + 95*i. Determine s so that b(s) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 361051\/7 - 49829. Let y = 219491\/126 - p. What is the common denominator of 1\/12*249\/(-9) and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -742757980 divided by 3?\nAnswer: -742757980\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250929830 is divided by 70?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 26*i - 400. What is the tens digit of k(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5 - 10*w**4 + 6*w**3 + 58*w**2 - 4*w - 48 = 0. Calculate w.\nAnswer: -4, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7 - 2\/7*z + 2\/7*z**3 - 4\/7*z**2.\nAnswer: 2*(z - 2)*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1743 and 67490703.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -927 + 926.948. Let s(i) = -i**3 + 4*i**2 + 5*i - 4. Let t be s(5). Which is the closest to -0.1? (a) t (b) f (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 2*y**5\/135 - 11*y**4\/108 - y**3\/9 - 120*y**2 - 1. Find m, given that j(m) = 0.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 380? (a) -8 (b) 6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:09 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 11. Let d(o) = -2*o. Let g(a) = -3*a + 1. Let v be g(3). Calculate the remainder when x is divided by d(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/7 - 1922*k**4\/7 - 123478*k**3\/7 - 176834*k**2 + 5416340*k\/7 + 933232 = 0.\nAnswer: -47, -17, -1, 4, 1022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 36200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -193*t - 17014 + 11996 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/((-2)\/(-8)). Let w(v) = -v**3 + v**2 + v + 3. Let x be w(-3). Let k = 41 - x. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 0, -1\/4, 1\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 9*o**8\/14 + 5*o**4\/6 + 24*o + 2. Let f(b) be the first derivative of z(b). What is the third derivative of f(q) wrt q?\nAnswer: 4320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 11*a = 104*a + 4326 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 321955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/2*(-4)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 24, 6, 1, -3, 4, 3 in increasing order.\nAnswer: -3, 1, 3, 4, 6, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.05779 + -0.05779. What is the closest to y in 3, -2, -34, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86988506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {i: 2, s: 6, f: 3, z: 1, n: 6, l: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11101101000001010111010 (base 2) to base 7\nAnswer: -123005324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 3*r - 7*r - 8*r**2 + 9*r**2 to k*r + i*r**2 + y and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 9*r + 22. Let u be v(-6). Let l = -10 + 22. Suppose -u*t + 96 = 4*c - l, -4*t - 12 = 0. What is the remainder when 58 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 3*k**2 - 5*k + 8092. What are the prime factors of u(0)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3864 - -3863. Which is the nearest to 1\/16? (a) -6 (b) y (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1716*y**3 - 3431*y**3 + 1708*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -11*i + 756. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496289 to the power of 1\/2, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1439245182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2702, 5, -1, 3 in ascending order.\nAnswer: -2702, -7, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-17)\/2 - -3)*-36. Suppose 4*k - 60 = -0*w - 2*w, -5*w + 2*k + u = 0. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51493.636 and 3.\nAnswer: 154480.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229.7 - -234.7. What is the closest to 0 in -0.138, -3, 2, m?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3491834 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*n = -795, -6*x + 2*x - 5*n - 1645 = 0. Let s = x - -574. Calculate the remainder when s is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 10 + -5 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*r + 486 = -0*v, 5*r + 273 = 2*v. Calculate the greatest common divisor of v and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -12*r**2 + 2*r. What is i(2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -2*x**3\/27 - 2*x**2\/9 - 2*x\/9 + 9. Factor c(r).\nAnswer: -2*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 7:13 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 362 from -2.4115.\nAnswer: -364.4115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593939.\nAnswer: 3, 599, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -5\/8, 2\/5, 5?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/499 (b) 0.3 (c) -4\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + 3. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {o: 9, f: 7, y: 1, l: 1}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108\/14 + 8\/28. Suppose -4*v - 180 = -o*v. Let a = v + -90. What is the common denominator of 93\/10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10 - 0\/3)\/((-490)\/(-3675))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 6 + 20*j + 2.\nAnswer: 22*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(13)*-5*-6)**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5415074 by -1757.\nAnswer: -3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16251, -32530, -48809, -65088?\n\"Answer: -16279*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-1 + 3 + -4). Suppose 4*y = d*y + 66. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1244 - 2310234.424\nAnswer: -2311478.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*o = 5, 3*f + 518*o - 513*o = 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31723 and -1.4827.\nAnswer: 47035.6921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 8) + -12 + 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2343\/1951 or 0?\nAnswer: 2343\/1951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*2*sqrt(132)*4*-2)\/(4*(sqrt(588)*3 + sqrt(588) + sqrt(588))*-3).\nAnswer: -16*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 114849774 to the power of 1\/2, to the nearest integer?\nAnswer: 10717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1449 = -n - 22*n. Let q = 74 - n. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 0.29 (b) 0.4 (c) -4\/9 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*l - 3, -3*p + 25 = 3*l - 2. Sort 1, -1, -5, p.\nAnswer: -5, -1, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32386075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3399\/53 or -75?\nAnswer: 3399\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwjw when four letters picked without replacement from {b: 1, n: 2, f: 1, y: 5, w: 5, j: 1}.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 228812447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100112001 (base 3) to base 11\nAnswer: 523a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 2*x**2 - 4*x - 3. Let m be v(-3). Suppose i + m + 1 = 0. Let p be (0 + i)\/((-3)\/(-21)). Sort 0.4, 5, p in descending order.\nAnswer: 5, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -35*g**3 + 26*g**2 - 5*g + 4. Let b(w) = -w**3 + 3*w**2 - w + 1. What is -6*b(q) + c(q)?\nAnswer: -29*q**3 + 8*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 1, e: 1, o: 1, i: 1, p: 2}. Give prob of picking 1 e, 1 p, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.81 - -3.39. Let s = 38.585 - o. What is s rounded to two dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -2\/21, 0.4, -5, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1951*t**3 + 488*t**3 - 6 - 3*t**2 + 484*t**3 + 492*t**3 - 3*t + 488*t**3. Give b(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 1, j: 3, t: 1, s: 3}. What is prob of sequence slt?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446397.\nAnswer: 1446397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = 1. Suppose 0 = -3*a + 6 + 6. What is the smallest common multiple of q and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 11:28 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 0, -4.18, -2?\nAnswer: -4.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 1. Let g(x) = -1. Let t be (-1135)\/(-25) - (0 + (-2)\/(-5)). Let l = -46 + t. Calculate l*a(m) - g(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/8)\/((-2)\/(-184)). Let m = w - 16. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -15*x**2 + 17*x**2 - 7*x - 6*x + 14. Does 2 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Suppose v + 16 = -3*v. Let a = k - v. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11615*n**2 - n**3 + 23229*n**2 - 1 - 11615*n**2 + 27*n to the form p*n**3 + c*n**2 + d*n + j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14796?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, -10, -240, 22, 0 in descending order.\nAnswer: 22, 1, 0, -10, -27, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23914686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 31. Let r = k + 59. Solve 0*z = z + 4*u + r, z = 5*u + 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 18*f - 51. Give u(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - b)*(-5 - 2*b**2 + 5) - 14*b - 12*b + 26*b + 27*b**3.\nAnswer: 29*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3714*i - 137479. Determine a(-37).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b - 27. Calculate w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/(((z**(-5\/6)*z)\/z)\/z)))*z\/((z\/(z**(-3\/2)\/z))\/z))**(-25)\/((z**(-5)\/z*z)\/(z\/((z*z**(2\/33)*z)\/z))*z**(2\/29)*z**7) assuming z is positive.\nAnswer: z**(-57863\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 217, 345, 489, 655?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -1\/7, 2\/11, -110, -35 in decreasing order.\nAnswer: 2\/11, 2\/17, -1\/7, -35, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 2*w + 4. Suppose 0 = -2*f - 3 - 1. Let x be r(f). Let h be 3\/12 + (-2)\/4. Which is the nearest to -3? (a) -1\/6 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 less than -72?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4\/8 - 136605*r**3\/8 - 4668440019*r**2\/8 - 219108471743*r\/8 + 27972131046 = 0.\nAnswer: -68279, -48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uugu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(3964*w - 7 - 5 + 606*w + 12) in the form m + v*w and give v.\nAnswer: 4570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 785 and 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -38*o + 9*o + 13*o. Let r(v) = -v**3 - 5. Give r(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 56 = -12*u. Find the third derivative of -18*q**6 + 10*q**6 + 21*q**6 + 155*q**u wrt q.\nAnswer: 1560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/3)*z**(2\/13))**(-29) assuming z is positive.\nAnswer: z**(-2059\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1234562 and 1\/7.\nAnswer: 1234562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 12051?\nAnswer: 120510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (9170\/14)\/(5865\/1173)\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 12 + (-20 - -28).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*m - z + 1 = 0, 0 = -4*m + 3*z + 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is e19 (base 15) in base 5?\nAnswer: 100144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**(2\/15))**(-16\/9)*(p**(-9)\/p*p\/(p\/p**5))**(-1\/32) assuming p is positive.\nAnswer: p**(5423\/21600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.027 - 0.273. Suppose 22 = 3*s + 7. Suppose 0 = -v + 8 - s. Which is the second smallest value? (a) 0.4 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 514330117 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*f - 5 = 0, -2*q + 3*q = -f - 1. Let b = q + 7. Find the third derivative of -b*x**4 + 5*x**2 + 6*x**4 - 4*x**6 wrt x.\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.4275739 rounded to one decimal place?\nAnswer: 556.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 831*j**2 - 407*j + 3165. Does 71 divide t(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 11*i - 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 4*s + 3. Let o be 7\/(28\/32)*(-5)\/(-20). Suppose -2*f + 28 = -22. Let v be f\/6 - o\/12. Calculate y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 1. Let a be g(6). Suppose 76 = a*n - n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.229546 days to hours.\nAnswer: 5.509104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2*y. Let g(l) = l**2 + 3*l + 1. Suppose 14 + 2 = -4*v. What is v*q(s) + 3*g(s)?\nAnswer: -s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5)*r*r*r*(r**(1\/16)*r)\/r)\/(r*(r\/(r*r\/r**4))\/r)**(-31) assuming r is positive.\nAnswer: r**(7701\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 11) in base 14?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from bdnbdnnbbblkd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24300424 (base 6) in base 14?\nAnswer: -16086c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -3, -0.101?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -8, -4*o - 12 = -2*i - i. Suppose -12*m + 16*m = 24. Let p be m\/(-12) - 10\/(-12). Which is the nearest to 0.4? (a) p (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l - 4*l. Suppose -5*p + 2705 = 4*g - 3*g, -4*g = l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 167*m. Let s(r) = -68*r + 12. Let h(u) = -56*u + 10. Let g(c) = 6*h(c) - 5*s(c). Calculate g(k(b)).\nAnswer: 668*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) - (15 - 466\/30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11448 divided by 6.\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*d - 3*l = -277*d + 72, 5*d - 2*l = -2. Let j be ((-3)\/6)\/((-2)\/(-8)). What is the nearest to d in 0, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 8*q - 6. Let p be j(4). Let g be (-28)\/p*(-21)\/(-14). Let h be (-7)\/4*(-2)\/g. Are h and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*a + 947*a + 1421*a.\nAnswer: 2133*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -138510b + -74?\nAnswer: -1385183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 816805123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5061314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r - 42. Let b(a) = -13*a - 140. Let f(h) = -3*b(h) + 10*n(h). Let w(g) = -3540*g - 2. What is f(w(j))?\nAnswer: 3540*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwhhww. What is prob of picking 2 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1764)\/(-1176)*496\/(-18)*(-4)\/((-80)\/30)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -659503 and 40.4?\nAnswer: -26643921.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1*1)\/sqrt(9).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438 + 438. Is -20\/17 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*j - 2719, 4*j + 70*c - 2182 = 71*c. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 54*w + 262 = -3*k - k - 5*k, -3*k + 56 = -10*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4348924 by -1087231.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 62, -3, 5 in increasing order.\nAnswer: -3, 3, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26821\/6504 + -1\/813. Suppose g = -5*v - 2 - 13, 0 = -5*g. Find the common denominator of -1 - -149*v\/(-18) and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 495318*d*q**2 + 521572*d*q + 2*q**2 - 2*q wrt q?\nAnswer: 990636*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-268)\/(-28) + 12\/(-21). What is the closest to 1\/2 in -0.2, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.75683 * 62.\nAnswer: 418.92346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 12185 - 4*w**4 + 39*w**2 - 12185 + 3*w**3 in the form c + o*w**3 + b*w + x*w**4 + m*w**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 24\/109 (c) 0.05 (d) -2\/9 (e) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 281*i - 281*i - 21*i**2 to n*i + r*i**2 + w and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -h - 6 + 27, h = -4*s + 21. Suppose -42 = -5*o + 2*o - 2*a, -a = -2*o + h. Does 10 divide 15\/o*(-16)\/(-2)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*s + 2*s - 42 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 38, 181, 486, 1013, 1822, 2973, 4526?\nAnswer: 6541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -2\/85, 42, -0.1, 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*o - 10 - 10 = 0, -3*o + 8 = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112328 and 12616.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516 - 800 = -42*j - 2282 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 316655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**2. Let p(q) = -3*q**2. Suppose 0*l = -4*l - 12. Suppose -52 = -4*i - 5*m, -19*i + 18*i - 4*m = -24. Give i*p(k) + l*v(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.31 + 18.31. Let m = q - 15. Let o = -368 + 1102\/3. Sort o, 2\/3, m in decreasing order.\nAnswer: m, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.311234ms to seconds.\nAnswer: 0.007311234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 75905 = 348*a + 503*a for a.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 1*(40\/7 - 10\/(-35)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 14. Let b be (1 - 30\/18)*-18. Let h = b - j. Is h greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27203 or 27202?\nAnswer: 27203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-75)\/(261\/90 + -3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 182 = 3*r, 4*r - 38 = -4*a + 202. Suppose -5*d - 3*p = -0*p - r, -d + 5*p = -34. Calculate the highest common factor of 28 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d45b (base 15) to base 12\nAnswer: -21b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/22)\/p**(-14) assuming p is positive.\nAnswer: p**(311\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083199723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 26297317.\nAnswer: 12\/26297317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-3 + i + 3) + 0*i + 2*i + 0*i + 155*i + 153*i - 305*i - 35.\nAnswer: 7*i - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759847?\nAnswer: 11, 67, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-18475*q**2 + 18357*q**2 + 3 - 4 + 8*q - q**3).\nAnswer: 2*q**3 + 236*q**2 - 16*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -8. Suppose 4*b - 4 = -a. What is the common denominator of -89\/12 and 0\/b - 29\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202200*m - 26140 with respect to m.\nAnswer: 202200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18900 and 15975400.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 23*z**2 + 18834*z - 21347. Calculate i(-820).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b4 - 1?\nAnswer: 9b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**2 + m - 2. Let c(t) = -3*t**2 + t. Let x be c(-1). Let l(w) = 4*w**2 - w + 1. What is x*l(s) - 3*o(s)?\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let z(h) = -10*h - 3. Let u(d) = j(d) + z(d). Let t(a) = -2*a**2. Calculate u(t(w)).\nAnswer: 22*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u. Suppose -8*h - 5 = -3*h. Let t(i) = -i + 8. Let z be t(6). Let y(o) = -o**2 - 4*o - 1. What is h*y(p) + z*x(p)?\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -2203*y**8\/336 + 153*y**4\/4 - 1720*y**2. Find the second derivative of b(m) wrt m.\nAnswer: -44060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 + -137. Which is smaller: s or 20?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 12:58 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 48, 79, 112?\n\"Answer: j**2 + 26*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxpk when four letters picked without replacement from mmxkqptktmmp.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 37*c = -335. Let s = c - 64. Differentiate 10*j + 8*j + 9 - s - 4*j wrt j.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1502 and 119\/160?\nAnswer: 120160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 761 + 1?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1157 and 1157 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1006 + 416 + 175)*(-2*f + 3*f - 3*f).\nAnswer: -3194*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -68. Put -3, v, -5, -1\/10 in ascending order.\nAnswer: -5, -3, -1\/10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*q - 1104*q + 87654 = 278*q + 203*q for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 579642 divided by 1119\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1030\/824)\/(-10*(-1)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 81 + -122 + 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -152*y**6 - y**2\/2 - 172*y + 228. What is the second derivative of u(b) wrt b?\nAnswer: -18240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*f + 8772, -4*a + 14*f = 10*f - 17552. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 350*m**3 + 2280*m**2 + 4770*m + 2835.\nAnswer: 5*(m + 1)*(m + 3)**2*(m + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*p**3 - 2268*p**2 + 1865*p + 414.\nAnswer: -(p - 1)*(p + 207)*(11*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/2 + (-1)\/(-2). Let f be 0 + 16\/(-4) - -7. Solve -a + f*n = 0, -a - 4*a + 10 = -q*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - b**2 - 11*b + 20*b - 10 - b**3. Let d be 3*(-2 + -3 - -3). Does 28 divide l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 160255881 and -5.\nAnswer: 160255876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 (base 10) in base 15?\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + 60\/25. Let a(q) = q**2 + 2*q + 3. Let o be a(-2). Find the third derivative of -3*r**2 - o*r**3 + 2*r**z - 4*r**2 wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 48. Let a(c) = -39*c + 1989. Let j be a(50). Is o >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2, -3\/4 in increasing order.\nAnswer: -2, -3\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12958 = 236*w + 5*w + 201*w - 24*w for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -14.5. Let w = x - 0.75. Round w to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m**2 + 37. What are the prime factors of k(5)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439786.\nAnswer: 2, 719893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -29023.368.\nAnswer: 14511.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(164\/(-28) + 6). Solve 3 = h*q - 6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867667087.\nAnswer: 7, 761, 162881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.21 + -0.19. Let h = 10 - 6. Which is the nearest to -4? (a) -1 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)*w**(-3\/8))**(-2\/11) assuming w is positive.\nAnswer: w**(31\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15812.04 rounded to the nearest one hundred?\nAnswer: -15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -3 - (14 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 18. Let w = 22 - r. What is the remainder when 18 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-6))\/(((-28)\/(-20))\/7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-148)\/296*(-12)\/(-14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/45*(0 + 10). Suppose y = 5*d - 4*d. Sort 1, d, 2 in descending order.\nAnswer: d, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -17*z**2 + 5*z + 2. Let t(h) = 26*h**2 - 7*h - 3. Let c(a) = 7*j(a) + 5*t(a). Let w = 1403 + -1404. Determine c(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -89*w**5\/5 - 2*w**3\/3 + 98*w**2 + 65. What is the second derivative of p(r) wrt r?\nAnswer: -1068*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -251135 + 251135.101069. Let r = h + -0.101. Round r to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-19)\/(q*q**(-2)*q*q))\/(q**(-3\/7)\/(q*(q*q**(1\/26))\/q*q*q)))**(5\/3) assuming q is positive.\nAnswer: q**(-5015\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 2, -542, -379 in increasing order.\nAnswer: -542, -379, -10, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 245594 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*w**2 - 6*w**2 - 31*w**2 to u*w + z*w**2 + h and give z.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1458)\/(-210) - (-39)\/((-9555)\/(-14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 78. Suppose f - z = 2*p, p - 89 - 96 = -3*f. What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848913?\nAnswer: 3, 13, 21767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(7016\/(-12)). Let g = -92969\/12278 + y. Let l = -458\/7 - -1933\/35. Find the common denominator of l and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5415470 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10625 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*(sqrt(325) - (sqrt(325) + -3)*5) - (sqrt(325) + -2*sqrt(325) + -1)*6))**2.\nAnswer: -907200*sqrt(13) + 10784016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + p**2 - p - 12. Let k = 15 + -11. Suppose k*c - 3*c = 0. Give y(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -60*s + 40\/7*s**2 - 1\/42*s**4 + 1 + 6\/7*s**3. Let k(q) = 0. Calculate q.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*f - 19*f + f to m*f + l and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*c + 161656 + 106478. Calculate the lowest common multiple of c and 957.\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679667157 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 4785689.\nAnswer: -4785690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065142 (base 7) in base 14?\nAnswer: 36ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*y - 3, 0*y = s + y. Suppose q - 6 = -3*j, 0 = -5*q + 4*j - 7*j + 18. Let g = 2 - -8. Solve q*n + g = s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 147*u**2 + 147*u**2 + 4 as a*u**2 + b*u**3 + v + w*u and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-319) - 1728\/(-174). Solve n*y = 3*y - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -h + 2*x, 0 = 2*h + 3*x - 4 - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.944 and -5.\nAnswer: 4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 75\/2*(-16)\/(-24). Let z = r - 11. Suppose -15*g = -z*g - 67. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -40*h - 10. Let a(q) = -20533*q. What is a(m(j))?\nAnswer: 821320*j + 205330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37713\/27 - 52\/(-234) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 1 e when three letters picked without replacement from {o: 2, b: 4, e: 6, z: 4, i: 1, w: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1420716 and 5\/1161.\nAnswer: 549817092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*l + 9, 3*z + 5*l - 46 = 0. Suppose 4*r + 2*h = 196, -r + 98 = r - 2*h. What are the prime factors of 268\/14 - z\/r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m**3 - 2*m**2 + 2*m + 3. Let l be -5*4*2\/20. Is w(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 18 = -2. Let u be ((-5)\/((-115)\/l))\/2. Let g = -0.3 - 0.2. Sort g, -5, u.\nAnswer: -5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*t + 803, -r + 151 = t - 46. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 48*o**5 + 5278*o**4\/5 + 28036*o**3\/5 + 13206*o**2\/5 - 47152*o\/5 + 392\/5 = 0.\nAnswer: -14, -7, -2, 1\/120, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-13 - -2) - ((60 - 54) + -7 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4)**(-5)\/(a**(4\/3))**8 assuming a is positive.\nAnswer: a**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - ((-30 - (32 - -4)) + 32)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**3\/2 + 59*a. Let h(c) be the second derivative of 3*c**3\/2 - 8*c - 7. Calculate h(p(v)).\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 11 - 641. Is (-3 + -1)*q\/24 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132873375 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30d1d (base 15) to base 2.\nAnswer: -100101110011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*c**6 + 9*c**4 - 4*c**3 + 395*c**2 + 3*c wrt c.\nAnswer: -4920*c**3 + 216*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 198357912 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6929*u - 37628. Determine m(-6).\nAnswer: 3946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-15) - (2 + -1 + 1). Factor 0*z**2 + 0*z**3 + 2\/3*z**5 + 0*z + s*z**4 + 0.\nAnswer: 2*z**4*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23203 - 23197. Let q(p) = 8 - 5*p + 7*p - 4*p. What is q(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.35.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*l**3 - 72*l**2 wrt l?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y**2 - 24*y**2 + 46*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92559 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 9823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4*(-8)\/(-6). Let l be 1*(x - 0)*-2. Suppose 5*c - l*s = 24, -c + s + 5 + 0 = 0. Solve 0 = 2*i - i + c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -255\/8. Let r be (17\/5)\/(20\/25). Let l = r + -81\/20. What is the second smallest value in l, -2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-270)*3*50\/((-80)\/(-16))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -10.8. Let h = -0.8000013 + q. What is h rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 + -128477090803\nAnswer: -128477090804.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 < 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*m = -72*m + 132. Calculate the smallest common multiple of m and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -27.\nAnswer: -38\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -5*i**7\/21 - i**5\/5 + 29*i**4\/12 - 3*i + 11. Find the third derivative of j(q) wrt q.\nAnswer: -600*q**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 15 + 3. Let f = 18 - 9. What is the units digit of (d\/5)\/(f\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 1. Let p be i(1). Suppose -5*u = 4*k - 11, -3*u = -u + 4*k - 14. Sort u, p, 4 in decreasing order.\nAnswer: 4, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*c - 152 - 55 = 0, 0 = 5*s + c - 333. Does 36 divide s\/(-2)*(-16)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19314*u - u**3 - 10754*u - 8521*u.\nAnswer: -u**3 + 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k - 7. Let d(z) = 3*z**2 - 2*z - 1. Let w be d(k). Suppose -2*y + 7*y - w = 0. Solve -y + 6 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2288)\/(-1092) + (-3)\/(-42). What is the third smallest value in s, -1\/153, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 - 90. Suppose -d = i*d - 270. List the prime factors of 445\/2 - (7 + d\/(-6)).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2360\/9 - 262. Let t(i) be the second derivative of u*i**2 + 1\/27*i**3 + 7*i - 1\/54*i**4 + 0. Let t(o) = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 9*u + 9. What is the remainder when r(8) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 3:44 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 2. Let g be a(0). Suppose -d + g*b = -10, 5*d - 22 = d - b. Is (34\/(-4))\/((-1)\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 8 - (48 + -50)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 0*p**2 + p**2. Let i = 10 - 6. Suppose a - 6 = i. Let t(o) = -8*o**2 - 2. Calculate a*u(h) - t(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387760823.\nAnswer: 3, 51398549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, -48, -117, -186?\n\"Answer: -69*z + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a + 64. Let n be m(-6). Let j(s) = s**3 + 4*s**2 + 2*s - 2. What is j(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-3 + 15\/(-6))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.63 - -0.35. What is the biggest value in 1, c, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/(8\/(-12)*9\/24)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1845360 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 60676 (b) -26 (c) 0.4 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79390 = 548*a + 673*a - 40*a + 9711 for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -5, 0.05.\nAnswer: -5, 0.05, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02520402 to 5 decimal places.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2764352 and 59032.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**19 assuming i is positive.\nAnswer: i**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*12\/36*-6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4205 = -5*b - 0*b. Let p = b - 531. Calculate the common denominator of 99\/2 and 2\/4*p\/35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/500 and 3\/469700.\nAnswer: 2348500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 13) to base 12.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:56 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 222 - -5. Suppose -2*t + q = 5*w, -3*w + t + 4 + 130 = 0. What is the highest common divisor of 495 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -3210\/461?\nAnswer: -3210\/461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 8*v + 4. Let x be b(7). Let c = 0 - x. Suppose -4*t = 2*n - 18, 0*n = 4*t - c*n - 23. Solve -3*q = 1 + t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*l + 4 = 0, 0 = -3*l - 2*l. Let a = -516006 - -516008. Let n be (-4)\/20 + 2\/10. Sort x, a, n.\nAnswer: n, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:01 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 142004 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*229\nAnswer: 45.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ded when three letters picked without replacement from edeededeeeddeeee?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + l - 540 = 0. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6813*v + 2241478. Give q(329).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (17277*y + 17336*y - 50*y**2 - 1 - 34483*y)*(-y - y + y - 2) in the form o*y**2 + s*y**3 + i*y + k and give i.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 0*o**4 + 3*o**3 - 6 - 12\/5*o**5 + 0*o + 0*o**2. Find the third derivative of q(i) wrt i.\nAnswer: -288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 18*a**2. Let t(g) = -92*g**2 - 29*g. What is t(v(u))?\nAnswer: -29808*u**4 - 522*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 349200 and 4074.\nAnswer: 2444400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 14, -41, -128, -253, -422, -641?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 11*g + 1. Let b = -1258 - -1916. Let u = -668 + b. What is d(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(5)*2))\/sqrt(320).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*f = 17, 670 - 654 = -2*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 6*w**2 - 7*w - 6. Let k be z(-5). Suppose k*f = -7 + 19. Find the first derivative of 3 + 2*x**3 - 2 - x**f wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/4 and -37\/3213.\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(7\/6)*u)\/(u**38\/u))\/(u*u\/((u\/(u*u**(-8)\/u*u))\/u)*u**42\/u))**(1\/9) assuming u is positive.\nAnswer: u**(-425\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 28*l**2 - 26*l + 86. Determine x(-27).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 476364486 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*b**2 - 16*b + 29*b**2 - 231*b - 40*b + 36*b**2 + 1.\nAnswer: -b**2 - 287*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -747 - -752. Solve o = -i*f - 3*o - 7, 0 = -5*o - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*x + 40, -3*z + 10 = -6*z + 5*x. Suppose 0*l = 3*m - 3*l - 213, -z*m = -l - 351. Suppose -4*f + m + 206 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oltl when four letters picked without replacement from {s: 2, o: 4, t: 8, q: 3, l: 2, m: 1}.\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/21836976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21012120222210 (base 3) in base 7?\nAnswer: 44361435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 3*n**7\/140 - n**6\/60 - n**5\/30 + n**3\/2 - 2*n. Let q(s) be the second derivative of a(s). Factor q(x).\nAnswer: 2*x*(3*x - 2)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23972 to the nearest one hundred.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 217*x\/2 + 108.\nAnswer: (x - 216)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*(153\/(-8))\/(-17)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 15, 4, 5 in decreasing order.\nAnswer: 15, 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = 30*y + 38*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -7. Let i = 2 - q. Let x = -10 + i. Which is the smallest value? (a) 1\/3 (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 137, -97, 4?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204419253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 4 - (3 + -9). Suppose -6 - 6 = -q + f, 3*q = -d*f + 36. Let m = q + -5. Solve m*g - 2*g = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.24 - 1.24. Let k = -1 - u. What is the closest to 0.4 in 2, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*8\/12 - -4. Solve z + x = -2*m, 1 = 3*z - 3*m - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21450 - 21448. Let d(n) = -2*n**2 + 3*n + 1. Let j(w) = -w**2 + 3*w. Give t*d(o) - 3*j(o).\nAnswer: -o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5389019 is divided by 3925.\nAnswer: 3919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -109 (b) 1.45 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 271 * 55.\nAnswer: 14905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -152221 (base 6) in base 7?\nAnswer: -61033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*f + 18 = 2, 5*f = 15. Let o = 7363\/6 - 1233. Calculate the common denominator of 1*2\/h*-18 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h - u = -36*h + 5, -4*u = 2*h + 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2167 and 33.\nAnswer: 6501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.44 and 29487.\nAnswer: 12974.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*t - 16, -b = -0*t - t + 2. Let p be 1 + -2 - b*-5. Suppose -s - p*s = -15. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/192*(-4)\/(48\/(-42))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*b + 2*b. Suppose l - 2*v = -2, 0 = b*l - 4*l - 3*v + 8. Solve n**3 - 2 - 3*n**3 + 8*n**2 + 2*n - 3*n - 3*n**l = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/94)\/((-12)\/(-824)). Let g = -3\/47 - l. Which is the closest to 1? (a) g (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - 2*f + (2*f + 0*f - 4*f)*(1 + 2 - 5))*(0 + 2*f**2 + 0).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {e: 4, u: 1, z: 2, k: 3, q: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + d - 7 - d**3 + 1 in the form w + g*d**3 + n*d**2 + c*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83121, -166266, -249385, -332466, -415497?\nAnswer: -498466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 45*n**2 - 3672*n - 124. Determine a(81).\nAnswer: -2311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575 = -34*c + 12*c + 201 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 52*r + 491. Let x be f(11). Solve -5*h + 29 = -w, -15 = h - 5*w - x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102.5783*-4.\nAnswer: 410.3132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -58 - (49 + -34)) + 29\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.6 - -45.9. Let f = -0.1 - -0.1. Let y = 1 + -0.8. Which is the closest to f? (a) -1 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058674 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -1 + 1 - (-135039 + 135007).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3474 by 6.\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**33*o)\/o*o*o)\/((o*o**(1\/7))\/o*o)*o**(-1\/20)\/o**9 assuming o is positive.\nAnswer: o**(3473\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Suppose x*j = 5*a - 18, -12 = 2*j - 5*a + 2. Let l(f) = 3*f + 3. Let t(p) = -13*p - 12. Calculate j*t(q) - 9*l(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686 (base 10) in base 16?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o - o)*(-635 - 219*o + 635)*(o + 1 - 1).\nAnswer: 438*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -13. Suppose -y*z + 69 = -14*z. Let l = z - -205. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - -2.78. Let m be 11194\/72 - (-6)\/(-24). Let n = m - 155. What is the nearest to n in y, -3\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*z = -423*z - 13235000. Round z to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10441 + -130?\nAnswer: -11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 256*u**2 - 29268*u - 29520.\nAnswer: 4*(u - 60)*(u + 1)*(u + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*o**2*r - 8*g**3*o*r - 4*g**2*o*r - 4*g*o**2*r - 5*g*o*r - 2*g wrt g?\nAnswer: 12*g*o**2*r - 48*g*o*r - 8*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 237 = 8*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -10. Let s(q) = q - 5. Let d be s(p). Let g be 0\/((0 + 2)\/d). Which is the smallest value? (a) 3\/2 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/246 - 55\/82. Which is the fourth smallest value? (a) p (b) -0.1 (c) -2\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 22321.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28328 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let o(w) = 4*w. Let m be o(z). Is m not equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:55 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 = -8*s. Suppose -s*k - 10 = -34. Is ((-836)\/k)\/(3\/(-9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u**2 - 10*u + 4. Let m be w(7). Suppose -2 = f - 4*x - 64, -2*x = f - m. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/99)*r\/(r\/(r\/((r\/(r**(-2\/55)*r))\/r))) assuming r is positive.\nAnswer: r**(962\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 240 = -3*i, 5*i = -4*h + 3*h + 392. Let w = 1278 - 1203. Let b = i - w. Solve 2*g + b*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32679 and 979008375.\nAnswer: 10893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 514, 744, 974?\n\"Answer: 230*f + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-13 + 14)*-22. What is the third smallest value in 4, -2, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9584.206 litres to millilitres.\nAnswer: 9584206","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29)\/(-6) + 2\/(-6). Let -1\/2 - 9*r**3 + 27\/2*r**5 - p*r - 13*r**2 + 27\/2*r**4 = 0. Calculate r.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4 + 446*t**3 - 448*t**2 = 0.\nAnswer: -224, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3 (b) -5 (c) -2029602 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/3 - -4) + 4\/(-6). Suppose -5*f + 2*d = -653, 0 = n*f - 3*f + 5*d - 367. List the prime factors of f.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((6\/27)\/(4\/36)). Find v such that 2\/7*v - 4\/7*v**2 + z + 2\/7*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h + 43 + 485 = 0. Calculate the remainder when (-72)\/(-5 + 2) + h\/(-11) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 12:20 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5880.4212 and -0.1?\nAnswer: 5880.3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -24 + 25 - 66 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k - 4. Suppose 1 = k*q + x, 4*q - 3*x + 0*x = 17. Factor -4*p**q + 6*p**2 + 9*p + p**2.\nAnswer: 3*p*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**2. Let m be f(-1). Let w(n) = n**3 - 6*n**2 - 9*n - 8. Let t be w(m). What is the greatest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 10) to base 6\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*x - 79*x + 230*x - 95*x.\nAnswer: -49*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 15781 - 5307. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114398 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -4, -1, 5.\nAnswer: -4, -1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 + -4)\/(-2) - -5. Let b be 4\/3*9\/6. Differentiate g*s**2 - 8*s**b - s**2 - 8 wrt s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/392 and -149\/31392.\nAnswer: 1538208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 158143 or 1265151\/8?\nAnswer: 1265151\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1273 - 1279. Let t(k) = -k + 14. Calculate t(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z**4 + 6*z**2 - 7*z**2 - 3*z**4 + 3*z**3 - 4*z**5 + 5*z**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 10*z - 5. Let t(i) be the first derivative of -5*i**3\/3 - 11*i**2\/2 + 6*i - 3. Let k(h) = -6*n(h) - 5*t(h). Calculate k(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157\/3 - 52. Let w = 7\/24 + m. What is the common denominator of 43\/14 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 48 = 16. Solve 6 - y = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 11*k**2 - 18*k - 5. Suppose -2*s = 5*p + s - 74, 2*p - 4*s = 14. Let n be t(p). Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -23. Solve -5*c + x = -14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 44 = -3*n. Let h(x) = -x**3 - 13*x**2 - 21*x + 15. What is the lowest common multiple of h(-11) and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3447 - -6017. What is the highest common factor of 80 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2381 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -24718.\nAnswer: -14\/12359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263137058 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/196 in 0, -1, 1\/171?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:03 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Let q(t) = t**2 - 1. Let i(z) = 6*z**2 - z - 3. Let f(u) = o*q(u) - i(u). Find the second derivative of f(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7*f - 184 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -382?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52848486 and 3006?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 1548567882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**3 - 6*r**2 + 11*r - 11. Let v(d) = d**2 + 3*d + 1. Let c be v(-5). Let q(g) = -4 - 2*g**2 + 3*g**2 - g**3 - 2*g + 6. Calculate c*q(u) + 2*o(u).\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + -1*sqrt(35)*6)\/((5*sqrt(20))\/sqrt(4)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*s + 38. Let m(h) = h**3 - 10*h**2 + 8*h + 11. Let x be m(s). Let t(y) = 3*y**2 + 3*y - 2. What is t(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c = 6. Let g(k) be the second derivative of -k**3\/3 - k**2 - 13*k. Calculate g(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 23 = -5*q - 3*i, 4*i = -3*q - 19. Let f = 2 - q. Let k(s) = s**2 - 1 + 0*s - f*s - 5*s + 11*s. Give k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 5*l**6\/24 - 7*l**5\/20 + l**4\/8 - 9. Factor v(a).\nAnswer: a**3*(a - 1)*(5*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - (-6)\/22 - 3 and 37\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*j + 30 + 189, -2 = 2*j. Let u = g - -79. Solve -d = u - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k + 56. Calculate the lowest common multiple of u(13) and 165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-25))\/(1\/(-30)). Is 508*4\/w*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/6, -0.082, 0?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 77*y**2 - 39*y + 39. Calculate o(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -17.0116. What is t rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001117513347 to 7 decimal places.\nAnswer: -0.0011175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:15 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(41*w**3 - 25*w**3 - 25*w**3).\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18268*m - 18294*m - 572 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 16 = 2. Let l(f) = 11*f + 9. Let m(u) = -5*u - 4. Let w(x) = -2*l(x) - 5*m(x). Let h be w(-4). Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 298224821.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2165 and 16570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -102*c + 57*c + 2*c**2 + 53*c - 30. Let f be i(-9). Calculate the highest common divisor of 540 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - (49 - 56 - -51)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333 - 3322221?\nAnswer: -3321333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 33*z**3 + 222*z**2 + 288*z.\nAnswer: -3*z*(z - 16)*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 23. Let i be q(-15). Let m(s) = -s**2 - 13*s - 14. What is the smallest common multiple of 2 and m(i)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prjmxuujm. What is prob of picking 1 x, 1 m, 1 r, and 1 u?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2\/c**38 assuming c is positive.\nAnswer: c**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-2)\/(-48) - 46\/(-12). Solve 2*a - 67 - 6*a**3 - 4*a**2 + 71 + j*a**3 = 0 for a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 1. Let v be (245\/21)\/((-1)\/3). Let l = -34 - v. Let r(u) = 4*u**3 + 5*u + 3. Let h(p) = -4*p + 1. Let f be h(-1). Determine f*i(t) + l*r(t).\nAnswer: 4*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.99 in -1, 3, 4\/9, 32, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9900 + 9899.8. Put 1, s, -524, 5 in decreasing order.\nAnswer: 5, 1, s, -524","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**7\/35 + s**6\/15 - 7*s**5\/60 - 5*s**2. Let h(k) = 5*k**4 + 7*k**3 - 6*k**2. Let p(y) = 6*b(y) - 7*h(y). Factor p(i).\nAnswer: i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.123, -17 in decreasing order.\nAnswer: 1, 0.123, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 7*t + 9*t**2 - 2*t - 7*t - 11*t + 17 + t. Determine z(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-3)\/sqrt(2))\/sqrt(8) + -3.\nAnswer: -3*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21722 - 12560. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-3)\/(-252)*4. Let j = -3 + 3.2. What is the closest to 0.1 in y, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76237?\nAnswer: 7, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 10*l**2 + 3*l - 5. What is the units digit of a(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - ((sqrt(288) + 2 + sqrt(288) - sqrt(288) - sqrt(288)) + 2 - sqrt(288))) + -5 - 1*((sqrt(288) - 2*sqrt(288)) + sqrt(288))*1)**2.\nAnswer: -432*sqrt(2) + 1233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 10*v - 6. Let b be t(11). Suppose -f + b = -0. What is the first derivative of 2 - g**3 - f*g - g**3 + 5*g wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 25356\nAnswer: -1\/25356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4679 is divided by 153.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(22\/3))**(-37)*(j*j**(-1\/4))**(8\/5)*(j**(2\/3)*j)**(-1\/2) assuming j is positive.\nAnswer: j**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -183129 or -391?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13323 - -13327. Solve 107*s = 2*i + 102*s + 9, 24 = d*i + 4*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2*sqrt(50))**2 + (sqrt(6050)*-2)**2 + 1)*-5.\nAnswer: -122085 - 400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205707?\nAnswer: 3, 191, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/((-21)\/(21\/4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 55. Solve 0*o + o - v = 2*y, 5*y = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -900 (b) 1 (c) 2\/39 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 69\/2 of a year?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194029\/16 - 12133. Calculate the common denominator of 17\/40 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4 - -8) + (8 - 17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 1. Let p(q) = 5*q. Let k be 314\/(-62) + (-140)\/(-2170). Calculate k*p(r) - 6*o(r).\nAnswer: -r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/1)\/(6\/(-10)). Suppose 0 = -s*i - 2*z - 6, -4*z = 3*i - 1 + 13. Let n = -0.1794 + -0.0206. What is the closest to n in -0.1, -1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*g - 38 + 145, 4*f + 118 = -5*g. Let z = g - -26. Solve -4*i + 9*i - 5 = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44128 in -0.4, 3\/8, 2, -62, 1\/6, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a = 12. Suppose -5*b + 2*l + 309 = 0, a*l - l + 183 = 3*b. Find the first derivative of b*t**4 + 7 - 46*t**4 + 14 wrt t.\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -65486931 and 1?\nAnswer: 65486932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1221100100121 (base 3) to base 5\nAnswer: 230432321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 532\/431 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8133216 = 18*b + 10*b. Calculate the common denominator of 2\/(-19) + (-129262)\/b and -17\/8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5 - 3 - 3*y - 5. Is w(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12100 + 5 + 4 + 64 + -58 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13 = -5*u + 4, 4*u = -2*f + 16. Let t be 57\/(-21) - (u + -6). Let d = -1\/3 + 4\/21. What is the second biggest value in t, d, -2\/11, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 47 = -205. Calculate the smallest common multiple of 14 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 20, -32 = -s - 2*h - 11. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s - 3. Let z(g) = -3*g + 6. Let j be z(-4). Suppose 0 = -3*a - a + 12. Suppose 0 = 3*m + a*m - j. Determine u(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21054 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/9, -0.2, 0.1, 5\/24.\nAnswer: -20\/9, -0.2, 0.1, 5\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 33 = -56*n + 60*n + 219, -5*i - 120 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {c: 1, y: 1, m: 2, s: 5, o: 1, n: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 18861568.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 214 - 204. Suppose -156 = -29*u - b*u. Suppose 2 = -4*l + 10. Solve -22 = -l*c + 5*s, u*c + 13 = c - 4*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - 135. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182377 is divided by 1737?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = 11*l + 2*y, 2*l + 270*y - 274*y = -30 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from nconnocaolnccnoaoa.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24275704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l**2 + 8*l**2 - 1917 + 1917. Let w(u) = -8 - 2*u - 1 - 12. Give w(o(k)).\nAnswer: 4*k**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcz when three letters picked without replacement from {c: 6, z: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 28 = -0*q. Let t(l) = 9*l**2 - 3*l + 1. Is t(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4045 (base 10) in base 16?\nAnswer: fcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(45)\/sqrt(3) - sqrt(15)) + sqrt(15))*2)\/(sqrt(33)\/(sqrt(11) - (sqrt(11) + sqrt(99) + sqrt(11)) - sqrt(11))).\nAnswer: -50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-136 + 64*r**2 + 136)*(-4 - 5 + 0)*(-2*r + 5*r - r) to d*r + p + h*r**3 + j*r**2 and give h.\nAnswer: -1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v + 3*v + 0*v)*(-2 + 4 - 1) + (3 - 7 - 1)*(-1 + 1 + v)*(-4 + 3 - 2))*(-16 - 10 + 2).\nAnswer: -408*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*d + 72. Let u(s) = -s**2 + 21*s + 67. Determine u(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.48 + -29. Let m = -0.49 + u. Let q = m - -3.0273. Round q to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 4*z**2 + 5*z + 4. Let v be q(-5). Suppose v*c - 13 = 11. Suppose -b - 35 = -c*b. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -707*u**3 - 2*u**2 - 3*u - 1. What are the prime factors of p(-1)?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34124100 rounded to the nearest one hundred thousand?\nAnswer: 34100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -2*t - 4, t + 171*p - 6 = 338*p - 170*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -738 + 4068 = 74*g. Solve g*p = 24*p - 84 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**5\/3 - 56*f**4\/3 - 428*f**3\/3 - 992*f**2\/3 - 944*f\/3 - 320\/3 = 0.\nAnswer: -2, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2 - 2 + (-3*p + p + 3*p)*(0 + 2 + 0) - 2*p + p - p)*(-p + 5*p - p) + (p + 5 - 5)*(-2*p - 3*p + 6*p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -104*x**7\/7 - 133*x**3\/3 + x + 239. Find the third derivative of n(g) wrt g.\nAnswer: -12480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Suppose o = -b*o + 180. Let i = o + -23. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126\/5*m - 324\/5 + 1\/10*m**4 + 179\/5*m**2 + 37\/10*m**3.\nAnswer: (m - 1)*(m + 2)*(m + 18)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 12975*b + 5395000.\nAnswer: 5*(b + 520)*(b + 2075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 - 6*b**3 - 8*b**3)*(2 - 1 + 0).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1408) - sqrt(1408)*1)\/(sqrt(66)\/(sqrt(12)\/sqrt(2))) + 2 + 4*(sqrt(32) - (sqrt(32) + -1) - sqrt(32)) + sqrt(32))*2.\nAnswer: -24*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001865133 to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - -4230501?\nAnswer: 4230524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 30\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 + (-1)\/2*0. Suppose -p - 20 = 4*x, 2*x + j = 4. Let u = 25 + -24. Sort -2, p, u in decreasing order.\nAnswer: u, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 316 = -3*g - g, -315 = -5*j - 5*g. Let x = j - 43. What is the tens digit of (-54)\/x*7\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1254*o**2 + 5*o + 2804. Let h(k) = -8756*k**2 + 34*k + 19627. Let j(s) = 27*c(s) - 4*h(s). What is the derivative of j(y) wrt y?\nAnswer: 2332*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2231 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 387361913*b**2*o**2 + 610*b*o**2 + 14840*b + 1 wrt b?\nAnswer: 774723826*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11295?\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20*s**2 - 12998*s - 12999. Determine k(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) -1 (c) 3\/2 (d) 204 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -0.029?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 8. What is the second biggest value in 2\/13, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - n**5 - 2*n**5 + (-n**4 + n**3 - n**3)*(-n + 0*n - n) - 13*n + 8*n**5 - 7*n**5 + 3*n.\nAnswer: 2*n**5 - 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4115 and 217659633?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58044008?\nAnswer: 2, 11, 659591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*2\/((-8)\/12). Suppose 0 = 2*o + 3*o + 4*a - 15, 0 = f*o - 2*a - 9. Suppose o*u = -3*u + 192. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 0*g - 15*g**3 + 8*g**2 + 1\/24*g**6 + 0 - 2\/3*g**5 + 35\/8*g**4. Suppose o(x) = 0. What is x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1738 and -51\/7268.\nAnswer: 79948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9949939973 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 238 and 544?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 79*w**3 - w**2 + w. Let p = 31 + -24. Suppose -3*m + 4*m + p = 2*z, -4*m = -4*z + 24. Is h(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1573093416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 144490.1 days?\nAnswer: 208065744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 5*j**2 - 3*j - 3. Let p be u(4). Let d(f) = 2*f**2 + 4*f - 1. Let i be d(-3). Suppose 3*o = o. Put o, p, i in increasing order.\nAnswer: o, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -46504*o. Let d(f) = 2*f**2. Calculate d(a(b)).\nAnswer: 4325244032*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5 - 5. Let j be (117\/12)\/((-6)\/(-16)). Let h(v) = j + 28 - 54 + 13*v. Calculate h(r(b)).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*k - 16 = -4*k, 0 = 5*k - 15. Let w(y) = 2*y**2 - 3*y - 2. Let g(o) = -4*o**2 + 7*o + 5. Suppose 4439 = 10*i + 4419. Calculate f*w(d) + i*g(d).\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120447, 240883, 361307, 481719, 602119, 722507?\nAnswer: 842883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b6c + -c?\nAnswer: -b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - -4 - (-5 + 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 13. Suppose -6*a - m = 23. Let w(b) = -8*b - 5. List the prime factors of w(a).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230 + -232. What are the prime factors of 12\/r - -3 - -669?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 26\/29739 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 3 - 1 - (-1 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(600)\/sqrt(490))\/(1*sqrt(588)).\nAnswer: -1 + sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(2*d + 0*d - 4*d) - d + 0 + 0.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56267 + 25376429\/451. Is p less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21827 - -13065. What is u rounded to the nearest one hundred?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3310000103 (base 4) to base 14\nAnswer: -1c032b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*-5680.\nAnswer: 1079.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10062 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Let o = -4 + u. Let d = o + 0. Which is the biggest value? (a) d (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + -9 + (-1 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*i - 29, 4*i + 7*v = 2*v - 19. Let b(g) be the third derivative of g**5\/12 + g**4\/2 + 2*g**3 - 3*g**2 - 9. Is b(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 2 + -6 - (2 - 20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**(-9\/8) assuming b is positive.\nAnswer: b**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 13) + (-2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*g + 920 = -87*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/120 + (-8)\/(-60)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2) + 1 + 1. Let w(j) = j + 68. Let x be w(-21). Let o = -46 + x. Solve -o = -3*a + q*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3)*75\/5. Let t be 2\/((10\/3)\/j). What is the second derivative of 3*x**3 - x**3 - x**t + x**3 + x wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4114 plus -212103.63?\nAnswer: -216217.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 3, 1654 in decreasing order.\nAnswer: 1654, 84, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*d - 29 = -5*y, -24 = -3*y + 4*d. Suppose m + y = 6. Differentiate -6*n - 1 + m + 4 + 2 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -54, -83, -112, -141, -170?\n\"Answer: -29*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v + 1. Let f be j(2). Suppose f*r - 1 = 5. Suppose -r*g + 3*c = 2, 2 = -3*g + 4*c - 0. Solve 3*i - 37 = g*d - 7*d, 2*i = 2*d - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112806 + -13163. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - 104. Let o = 186 + -176. Is z*2*(-5)\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/h)\/h*h**(1\/2)*(h\/h**(1\/2))**42 assuming h is positive.\nAnswer: h**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {a: 1, x: 1, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpqpqqq. Give prob of picking 3 q.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 13. Let b(h) = -2*h. What is b(t) + p(t)?\nAnswer: -t + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1793*h = 80502 + 74778 + 26715 - 18832 for h.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025303348 to 4 decimal places.\nAnswer: 0.0253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9087, -1864, 5355, 12570, 19781?\n\"Answer: -2*q**2 + 7229*q - 16314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000270177 rounded to six decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(1143\/2413*((-3)\/9)\/1).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 32 - 4. Suppose 2*j - b = -0*j. Suppose -4*g - j = -g, 5*g + 462 = 3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = 7*x, -4*i + 3*x = -5*i + 36. Solve -18 = 2*v - i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*o + 752 = 4*o + 1064. Let x(i) = 1 + 3 + 0 - 3*i. Determine x(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 + 46439\nAnswer: 46437.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 + 310*f**2 + 0 - 97*f + 412*f**2 + 26*f**2 + 8 wrt f.\nAnswer: 1496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 116662 = -2*z, -214*u = -215*u + 2. List the prime factors of z.\nAnswer: 2, 3, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0*o + 185*o**2 + 1\/150*o**5 + 0 + 1\/20*o**4 + 0*o**3. Suppose j(g) = 0. What is g?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -7. Find the second derivative of -8*r**z + r - 3*r - 4*r wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-48)*-13*160\/130. Factor 1\/3*g**2 + y - 4\/3*g.\nAnswer: (g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76521 is divided by 7652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63302\/35 - -9066\/5. Sort 1, 2\/5, a in increasing order.\nAnswer: 2\/5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, -5, 2\/9, -11.063?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -899, -2167, -3471, -4805, -6163?\n\"Answer: s**3 - 24*s**2 - 1203*s + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 756 and 18252.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**3 + 4*c**2 - 3*c + 2. Suppose -5*v + 4*v + 2 = 0. Let a be l(v). Is 19 a factor of (7 - -2)\/((-6)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -953950 - -2a?\nAnswer: -953921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 11 = -3*h, -9*h + g - 6 = -10*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 26ac580?\nAnswer: 26ac583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) 5 (c) -0.2 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/2*(-76)\/114.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-273)\/28*32\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -882 - -1050. What is the least common multiple of t and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11534999*k**3 + 4*k**2 - 7*k + 6. Let y be a(2). Round y to the nearest one million.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36170*s**3 - 83188*s**3 - 57942*s**3.\nAnswer: -177300*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 25077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:12 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 150*3*1\/6. Let t be (i\/1)\/(-3 + 2). Let m be (-1)\/2 - t\/70. Which is the nearest to 1\/3? (a) -2 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26125 and 19800?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y + 10. Let m(a) = a**2 - 8*a + 9. Does 2 divide m(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*t**3*y**2 + 152*t**3 + t**2 + 345*y**2 + 1 wrt t?\nAnswer: 72*y**2 + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+2\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 20*x**2 + x - 8. Calculate j(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 166*f - 161*f - 20. Solve f*p = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/9)\/x*x**(-4\/15))**(-23))**(2\/89) assuming x is positive.\nAnswer: x**(3542\/4005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -99.17.\nAnswer: -99.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3837398469.\nAnswer: 3, 1279132823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 309066619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228.3105ns to microseconds.\nAnswer: 0.2283105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -0.5, -8724?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25789 and 25.\nAnswer: -644725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425122.\nAnswer: 2, 212561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/7, 5, 39 in increasing order.\nAnswer: -1, 4\/7, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.91 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 609116158 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 248132813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 - -248. What is the fourth biggest value in -39, 2\/7, -3\/4, m?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202002033100 - -112?\nAnswer: -202002032322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d - 2*d**3 - 2*d**2 + 82 + 3*d - 80 - d to the form l*d + i*d**3 + u*d**2 + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -3, -0.5, 0.3, 0.5 in ascending order.\nAnswer: -3, -0.5, -0.15, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 27343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.3. Let t = -1 - -1. Which is the nearest to t? (a) 5 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 135*o + 12394. What are the prime factors of n(58)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2f (base 16) to base 13\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 5*z**2 + 7*z + 3. Determine y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 17 + 31 + 52*v)*(-3 + v + 3).\nAnswer: 52*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/27, -6, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t - 12 - 1\/3*t**2 = 0. What is t?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-4) - -21) + 9\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*j + 2. Let z(y) = y**2 - y**2 - y**j. Let i(f) = -f - 2. Let h(p) = 2*p + 5. Let m(k) = 2*h(k) + 5*i(k). Calculate m(z(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 116?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 19*r - 3*r**2 + 39*r + 0*r**2 - 55.\nAnswer: -3*r**2 + 59*r - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/3 + 4\/2. Let x be f - 4 - -2 - -44. Let r = x + -22. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 - 113186475*d + 5*d**5 + 4412*d**2 - 33*d**6 + 113186475*d wrt d?\nAnswer: -3960*d**3 + 300*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 41, 35, 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198153 (base 10) to base 6.\nAnswer: 4125213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1082014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-2 + -5 - (13 + -19 + 22 - 20)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 668. Which is smaller: 660 or b?\nAnswer: 660","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -62. Let k = -18 - w. Is 15 a factor of ((-804)\/15)\/(1 + 7\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:07 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 6. Let z = 0.3 + -0.1. Let y = 0.4 - z. Sort 3, y, p in decreasing order.\nAnswer: 3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2 = 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/7 + 388*w**4 - 1857694*w**3\/7 + 2624820*w**2 - 45765225*w\/7 = 0. Calculate w.\nAnswer: 0, 5, 1353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1363?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/12 - 1*(-15)\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14717 + -5?\nAnswer: 14712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294) - -3*sqrt(294)*2)\/(-1*sqrt(108) + (sqrt(3) - sqrt(27)\/(sqrt(27)\/sqrt(3)))).\nAnswer: -49*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p + 7*p. Suppose p = -0*b - 4*b + 5*y + 256, b - 64 = 4*y. Calculate the remainder when b is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/5 - 388*x**4\/5 - 67266*x**3\/5 + 630568*x**2\/5 - 213971*x - 353460 = 0. What is x?\nAnswer: -137, -1, 5, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 850 + -828. Which is bigger: 15 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4206, -9600, -14984, -20352, -25698, -31016?\n\"Answer: z**3 - z**2 - 5398*z + 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 q, and 2 g when four letters picked without replacement from {g: 9, q: 2, k: 2}.\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.05 - -0.21. Let h = 0.34 + c. What is the closest to -2\/5 in h, 1\/9, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v**2 - 7*v + 7*v + (1 - 11 + 8)*(-3*v**2 + 2*v**2 + 0*v**2))*(2*v**2 - v**2 + 0*v**2).\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172 + -176. Let o(d) = 4*d + 19. Let w be o(n). Let -3\/2*j**5 + 0*j**2 + 0*j + 3\/2*j**4 + 3*j**w + 0 = 0. What is j?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 325682\/(-2164)*(20\/(-12) - -1)*(-3)\/(-7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 28*c + 102. Let a be n(-7). Let g be (6 + -1)*4\/10. Calculate the highest common factor of a and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 * -0.0189\nAnswer: -0.6804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/30 + k**4\/24 + k**3\/2 - 3*k**2. Give n(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -143784*z**3 - z**2 + 1044031 wrt z?\nAnswer: -431352*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 0*h)*(-7*h**2 - 2*h**2 - h**2)*(-457 + 920 - 462 + 12*h).\nAnswer: 240*h**4 + 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 23415027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -af7e7 (base 16) to base 13\nAnswer: -1c2251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1794\/(-1012) + (((-9)\/6)\/(-3))\/(209\/627).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (76 - 13 - (0 - 8))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277 + -276.9. Which is the biggest value? (a) 3 (b) -0.2 (c) -1 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196245?\nAnswer: 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 788164\/(-7908)*6\/(-26)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 28 = 76. Solve 2*g = -3*i - 3 + 2, p*i + 2*g + 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11*w = -7. Sort w, 4, 5, -4 in ascending order.\nAnswer: -4, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265403 + 25?\nAnswer: 265431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7012 by 6.\nAnswer: -3506\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 - (0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/37595 or 0?\nAnswer: -2\/37595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*l**3 + 192*l - 2*l**4 + 192*l**3 - 149*l**3 in the form n*l + u*l**3 + m + f*l**4 + h*l**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, a: 3, n: 4}. What is prob of picking 3 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3 - 4)\/1)\/(11272802\/(-751519) + 15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*i**(-10)\/i*i)*i*i**(-13)*i\/((i*i*i*i**(-2\/9))\/i*i)*i**(-6) assuming i is positive.\nAnswer: i**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(3\/5))*a)\/a**(3\/7))**(-1\/13) assuming a is positive.\nAnswer: a**(1\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(832) + (sqrt(13) + 2)*6 - (sqrt(104) - (sqrt(104) + (2*5*sqrt(104) - sqrt(104))))\/sqrt(8)))*-3)**2.\nAnswer: 7038*sqrt(13) + 64494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*((-64)\/(-12))\/2. Solve -3*y + 0*y - 4 = -f, -2*f + 4 = -p*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 177*w - 132951. What is x(464)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457*r - 448*r = -854*r - 2068509. What are the prime factors of r?\nAnswer: 40559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 390, 592, 796, 1002, 1210?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20011*p + 586656 + 710826 - 111821 = -55021 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 125*w - 6 - 97*w + 169*w.\nAnswer: -53*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -2\/9 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 124283, 497376, 1119197, 1989746, 3109023, 4477028?\n\"Answer: 124364*f**2 + f - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*sqrt(528)\/(sqrt(12) + sqrt(36)\/sqrt(3) + sqrt(12))*1 + 3 + (-6*(-1 + sqrt(1584)) - sqrt(1584))).\nAnswer: -488*sqrt(11)\/3 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = -6*o + 432. Which is the closest to 0.3? (a) -1 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i*i*i**4\/i)\/i)))**(-29)\/(i**(-1\/4)\/(i*(i\/((i**4*i)\/i))\/i)))**(-18) assuming i is positive.\nAnswer: i**(4275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-30)\/12*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = 0, -3*n = 2*n + 4*l - 17. Suppose 0 = 4*i - 2*j - 66, n*i - 49 = 4*j + 35. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 294*x + 1493. What is q(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, s: 6, o: 2, v: 4, w: 2}. Give prob of sequence sovy.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-90)*445\/178?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 3161\/(-145))*(-2 + 1)*45?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 + (2 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9096944 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 17 = 5*b - 42, 0 = u + 4*b - 14. Suppose 4 = -5*g + 6*g. Suppose 0 = -g*d - d + u. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/((-4)\/(-144)). Suppose -f = 4*o + s, 8*f = 3*f + 2*o + 20. Suppose 15 = -5*z + d, -5*d + 0*d = 25. Put f, 5, z in increasing order.\nAnswer: z, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -56 (c) 2\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - 6*u)*(-21 + 8 - 29)*(2*u**2 - 2*u**2 - 3*u**2) + (-2*u + 5*u - 2*u)*(-5*u**2 + 2*u**2 + 0*u**2).\nAnswer: -381*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 799*q - 300*q + 402*q - 2 to z*q + o and give z.\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -15240*p**4 - 111814*p**3\/3 - 86492*p**2\/3 - 20422*p\/3 - 8 = 0.\nAnswer: -1, -4\/9, -3\/2540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*z - 154. Suppose z*d = -207616 - 137344. What is d rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -18, 3, -21415.\nAnswer: -21415, -18, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 48031 = 7*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/(-15)*27\/6*-1. Suppose 7 = 16*o - m*o. Calculate the remainder when 22 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 6. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 450541*m**5 + 135348*m**2.\nAnswer: 27032460*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 - -81. Let d = -68 - i. Let k be (0\/d)\/(3*(3 + -2)). Solve -4*y + 5 + 3 = k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26788415 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.06 (c) -4 (d) -126 (e) 0.075\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36.1451 from 0.4.\nAnswer: -35.7451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*f + 62, -2*f + 26 - 48 = -2*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9867 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 1)*(3784 - 3784 - 250*y).\nAnswer: 1250*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/10)\/((-8)\/(-62920)*13) is divided by 117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9629304?\nAnswer: 2, 3, 71, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452 divided by 2.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 43*x**2 - 70*x - 98. Calculate the remainder when y(-7) is divided by 211.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1007\/2 + -505. Let u be (-8)\/(-6) + -17 + 14. Which is greater: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -a. Let d = -0.07 + 0.07. Sort d, a, 0.3.\nAnswer: d, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*o + 5*o**4 + 2*o**5 + 45*o)*(2 - 2 + 1).\nAnswer: 2*o**5 + 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/20 + 2*i**2. Let g(q) = 27*q - 2. Give x(g(f)).\nAnswer: -2187*f**2 + 324*f - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14245 is divided by 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {y: 3, e: 2, t: 4, c: 3, d: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96628 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 4, x: 2, q: 5}. Give prob of sequence iy.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43253, 43255, 43257, 43259, 43261?\n\"Answer: 2*o + 43251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(-1\/21))\/g*g*g)**(11\/2))**(-41) assuming g is positive.\nAnswer: g**(-14432\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320147*b = -319947*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91543 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 2*x = -3*p - 94, -5*p - 2*x + 117 = 0. Suppose 0 = 2*w + 2, 5*f - 4*w = 257 - p. Is 23 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1566629 = -21360*f + 804331 for f.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 - 4 + 4)*(-8*p**2 - 7*p**2 + 0*p**2) + 19*p**5 + 17*p**5 - 2*p**5.\nAnswer: 109*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -8*(-3)\/2. What is the remainder when ((-5)\/r)\/(2\/(-188)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**4 + 28*p**3 + 1774*p**2 - 9128*p - 415864. Let q(w) = -5*w**4 - 27*w**3 - 1774*w**2 + 9127*w + 415865. Let f(s) = 7*g(s) + 8*q(s). Factor f(y).\nAnswer: 2*(y - 24)**2*(y + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.3 (b) 2\/7 (c) 3.1744\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.19 + 104.19. Let f = l - 106.68. Round f to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 20*z**3 + 32*z**2 - 20*z - 16. Let v(j) = -7*j**3 - 11*j**2 + 7*j + 5. Let t(p) = -3*q(p) - 8*v(p). Factor t(l).\nAnswer: -4*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10141708 is divided by 427?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 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: Calculate the remainder when 6206 is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 109, -3\/4, -0.37?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37aba + 10?\nAnswer: 37b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 42*j**2 - 41*j - 1. Let c be h(41). Is 1\/1660 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3253668088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 553\/2815 + 2\/563. Let f(j) be the third derivative of 3\/40*j**4 + 0 - 1\/100*j**5 - 3*j**2 - z*j**3 + 0*j. Factor f(c).\nAnswer: -3*(c - 2)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -23 (b) -0.4 (c) 2 (d) -4\/7 (e) 1.257 (f) -1\/8 (g) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 55927, 21, -2 in decreasing order.\nAnswer: 55927, 21, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -8*x + 3*x. Suppose 3*d = -2 + 38. Let g be 4 - (d\/78 + (-11)\/(-13)). Solve g*s = s - x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*a - 350 + 14*a + 34 + 374*a**5 wrt a?\nAnswer: 7480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 636.47 + 3.53. Let y = 795.5 - l. What is y rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -19*k + 39. Let f be l(-18). Suppose -2*j = -209 - f. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63615654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 - 67*o**3 - 51*o**3 - 191*o + 191*o + 131*o**3.\nAnswer: 13*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32475 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77533182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 2. Let c = -2060 - -30917\/15. Let y = c - 9\/5. What is the closest to y in -1, j, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Let h(i) = -i**2 - i. Let m(d) = 5*d**2 - 2*d. Suppose -3*p = v - 8, 2 - 4 = -v. Let q(k) = p*h(k) - m(k). Determine j(q(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*a - 1 = o, -4*a = -o + 7. Suppose -c + 10 = -0*c - 2*w, -o*w - 13 = -c. Sort 2, c, -4 in increasing order.\nAnswer: -4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, -3\/5, -24.8, 0.5, -5 in descending order.\nAnswer: 0.5, 0.3, -3\/5, -1, -5, -24.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/200184 and -9\/194038.\nAnswer: 44240664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - c - 49, -4*c + 44 = -0*i + 2*i. Let y be ((-20)\/i)\/(-5)*-3. Suppose -2*f - 9 = 7*f. Is f at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 435 or 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2833 - -7449. Suppose 7*p = w + 1523. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 401 = -9*g + p, 0 = -3*g + 5*p - 245. Calculate the smallest common multiple of g\/(-14)*(-7)\/(-2) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213724315 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 537.\nAnswer: 536.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*n - 5*o, -2*n - 3*o = 16 + 4. What is the units digit of 25\/n*8\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {g: 1, i: 8, d: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1701)\/(-162) + -11)*142.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let z = 15 - 15. Let i(j) = j - 8*j + 2*j + z*j. What is k(i(y))?\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -5)*2\/(-6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*v**3 - 80\/3*v + 32 + 22\/3*v**2 = 0 for v.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(-6\/7)*r)*r)\/(r*r**5))**(2\/77)*((r**(-1\/4)\/r)\/r*r)**(4\/7)\/(r*r*r\/((r\/(r**1\/r))\/r*r*r*r))**(-3\/4) assuming r is positive.\nAnswer: r**(-467\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16.75 + -21\nAnswer: -37.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27561186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*r - 60, -r + 15 = -2*t + 3*t. Let l be 4*(t\/(-3))\/5. Let s = 0.1 + -0.13. Sort l, s, -3\/7.\nAnswer: l, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -19 - 21 - 10 - 11 + 76 + 8*q**2. Let a(u) = -2*u. Determine a(n(x)).\nAnswer: -16*x**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 33. Solve 3*c - y*u + 8 = 2*c, -18 = 5*c + 2*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 9055, 0.2, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/10 and -31\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.8 + -44. Which is the fourth biggest value? (a) 1 (b) n (c) -0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdwwdwwww. Give prob of sequence wwwd.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9210312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2565\/(-1045))\/((-180)\/(-330))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d. Suppose -3*i + 3*x = d, i + x + 20 = 6*i. Suppose 3*g = -i*n + 22, g = 2*g - n - 18. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 4*u**2 + 2*u - 5. Calculate the remainder when 8 is divided by h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24211\/3930 - -4\/655. Let f = 1165\/186 - v. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.52 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose -5*v + a*v + 4 = 4*f, 2*f + 4*v + 4 = 0. Let c be 3*(16\/f)\/4. Solve c*i + 15 = -3*i - 5*d, 5*i + 4*d + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3180 and 2862?\nAnswer: 28620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = z - 15, 0 = -5*t + 30 - 15. Suppose z = -162*f + 175*f - 39. Solve 0 = -j - 4*h - 22, -4*j + 18 = -f*j - 4*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -281381*l**4 - 141702 wrt l?\nAnswer: -1125524*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*a + 5*q - 27, 0 = 5*a + q - 56. Let y = 12 - a. Let u(n) = -2*n + 60. Does 20 divide u(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2074487 - 141056 = -23*f + 314434. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (1 + -1 - 0). Suppose -12 = 3*z - 18. Factor -1\/5*i**q + 2\/5 - i + 4\/5*i**z.\nAnswer: -(i - 2)*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3018 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 855505575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*k - 3*k = 22*k - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 25*x - 56*x = -651 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2 + 2)*(-l - l + 4*l) + 80*l + 50825 - 50825)*(0 + 0 - 1)*(5 - 5 - 3) to k + z*l and give z.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6848, 13789, 20730, 27671?\n\"Answer: 6941*f - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 760270 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**6*a*a)\/a**(-1\/2)*a*a**(3\/5)*a**(-1\/10)*a assuming a is positive.\nAnswer: a**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 4*c**2 - 4*c - 4. Determine d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.643 less than 1295951601?\nAnswer: 1295951594.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 444*o + 23094 - 23982. Suppose -280\/19*b + 64\/19*b**o + 288\/19 + 2\/19*b**3 = 0. What is b?\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i. Let h(o) = 2*o**3 + 14*o**2 - 2*o - 10. Let d be h(-7). Suppose -d + i = -q. Solve q*s = -s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 + 7*z + 9. What is y(5)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1340 + -32?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*w + 20 = 0, -1653*h + 8*w - 25 = -1658*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, g: 1, p: 2, e: 3, s: 1}. Give prob of sequence ppes.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l**2 + 15*l**2 - 22*l**2 - 11*l**2.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 10*s - 9. Let c be h(6). Suppose -2*q = -6 + 4. Suppose x - c = q. What is the greatest common divisor of x and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g - 50*g + 26*g + 138*g**3.\nAnswer: 138*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 50 = -51*n. Solve 24 = n*q - 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 2766*c\/5 - 5524\/5.\nAnswer: -2*(c - 1381)*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 4*p**2 + (3*p - 7*p - 3*p)*(-p - 3*p + p) as d + a*p**2 + c*p and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(-27)*-3 - (-1 - -1). Let j be 12\/8*(46\/(-10) + y). Is j >= -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.2. Let t = 199\/5 - 39. Which is the nearest to j? (a) 2\/9 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(1*sqrt(605)) - ((sqrt(363) + -2*sqrt(363) + sqrt(363) - sqrt(363)) + sqrt(6)\/sqrt(2) + -5))**2.\nAnswer: 1110*sqrt(3)\/11 + 39988\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -4*u - 0*y - y, 2*y + 6 = 0. Let q = u - -23. Suppose -q = -0*a - 3*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {g: 3, q: 1, b: 3, o: 3, w: 5}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*n - 55*n - 16 = -107*n - y + 7, 5*n + 253 = 17*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 5*n + 3*n)*(2*n**2 - n + n + (0*n**2 + 3*n**2 - 5*n**2)*(1 + 1 + 0) - n**2 + 0*n**2 + 3*n**2 - 1 - n**2 + 1 - 2 + 2 - 2*n**2).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/(2\/(-4 - -3)). Let d = a - 26. Suppose 18 = -d*b + 88. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*o - 203168 + 207952 = 0 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**2 - 18*g + 36. Let c(i) = 4*i**2 + 10*i - 20. Let a(b) = -9*c(b) - 5*d(b). Let z(n) = 3404*n**2 - 1. What is a(z(j))?\nAnswer: -11587216*j**4 + 6808*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(13\/2)\/(z\/z**(-1\/2)))**21 assuming z is positive.\nAnswer: z**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 22, -4, -7960 in decreasing order.\nAnswer: 22, -1, -3, -4, -7960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 347*v**2 + 4*v + 4. Let w(o) = -349*o**2 - 5*o - 6. What is 3*h(a) + 2*w(a)?\nAnswer: 343*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 16 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*z - 2*z**2 - 2*z**2 + 792*z - 397*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -21*u**5 - 306*u - 288. Differentiate d(t) wrt t.\nAnswer: -420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 776780 divided by 194195.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -136, -137, -138?\n\"Answer: -x - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 298639862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/460 and 59\/62.\nAnswer: 14260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 5)*(-1 - 2 + 1) - 5 + 4 + 3)*(0*u**2 + 4*u**2 - u**2) - 121*u + 2*u**2 + u**2 + 130*u.\nAnswer: -9*u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 3, x: 2, q: 1, c: 1, n: 3}. Give prob of picking 1 x, 1 n, and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = 0, -2*t - 66 = 4*b - 10. Let x = -44 + 53. Let y(w) = 0*w + 6 + 6*w**2 - 7*w**2 + x*w + 3. Let p(j) = -j - 1. Give t*p(s) - 2*y(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60725911?\nAnswer: 23, 263, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.36157 + 19.38. What is p rounded to four decimal places?\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0110156 - 0.0071. Round f to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -7) + (-27 - -26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 230\/(-26) + (16\/(-26))\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.4 - -63.6. Let x = 217 - j. Let m = -144.000057 + x. Round m to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r**3 - 3*r)*(0 - 2 + 6*r**2 + 8*r**2).\nAnswer: 14*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16312322 or -16312325?\nAnswer: -16312322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 5a5?\nAnswer: -5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + y**3 - y**3)*(-88*y + 338*y + 202*y).\nAnswer: -904*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 9, j: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 876876102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 970943 + 4?\nAnswer: 970947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 1. Let l(h) = -2*h**3 - 2*h**2 + 3*h**2 - 3*h**3 + 6*h**3. Let j(t) = -6*t**3 - 9. Let s(f) = -j(f) - 5*l(f). Determine s(k) + 5*w(k).\nAnswer: k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -283.1 - -270. What is the third biggest value in 1\/6, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 - 5*i**2 + 29)*(1 + 0 - 5 + 10 - 7 + 3 - 4 + 1 + 1 + 1 + 5 - 5 + (3 + 3 - 4)*(0 + 1 + 0)) to the form m*i + f + q*i**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035405853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232 - 36*f + 131*f**2 - 129*f**2 + 221 to the form q*f + c*f**2 + s and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -31. What is the tens digit of (-20)\/6*(l - 23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.49 and 23?\nAnswer: -103.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/49)\/((-7)\/(1617\/6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/7735 and 127\/1400?\nAnswer: 309400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -178, -131, -6015?\nAnswer: -6015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/((((z*z**(-1\/14)*z)\/z)\/z)\/z))\/z)*z*z\/(z*z**(6\/7)\/z))\/(z*z**(2\/21))**(10\/7) assuming z is positive.\nAnswer: z**(-145\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1613 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02812, -0.5, -0.2 in increasing order.\nAnswer: -0.5, -0.2, -0.02812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2380978.885 to the nearest one thousand.\nAnswer: -2381000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*p**3 + 11*p**2 + 55*p**3 - 25*p**3 - 6 + 4*p**4 - 13*p**2 to r*p**4 + h + c*p**2 + u*p + y*p**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/1)\/(21\/14). Let h be a\/8 - 234\/8. Let i = 184 + h. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -106619.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-18)*l**37 assuming l is positive.\nAnswer: l**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -11 (c) -3 (d) 162 (e) 0.118 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3416 - -581. What are the prime factors of n?\nAnswer: 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44122 at least as big as -44103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1006\/8239 or -1?\nAnswer: -1006\/8239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {l: 2, q: 1, f: 1, s: 1, e: 1, r: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 3*h - h)*(-137*h**2 - 599*h**2 - 915*h**2) - 2*h**3 - 3 + 3 as l*h**3 + g*h**2 + q*h + t and give l.\nAnswer: -1653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -918, -4030, -9286, -16686, -26230, -37918?\nAnswer: -51750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32870555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27758 divided by -2.\nAnswer: -13879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*r**3 - 81*d**2*r**3 - d*r**3 + 2*d*r**2 - 4*d*r wrt d.\nAnswer: 6*d*r**3 - 162*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 3. Let v be (4\/(-8))\/(1\/(-18)). What is the units digit of u(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -788 - -788.00426. What is f rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3022124 (base 5) to base 15\nAnswer: e529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 1\/2*k**3 + 57\/2*k**2 + 3 + 23\/6*k**4 + 0*k**5 - 1\/10*k**6 + 57*k. Find the second derivative of a(j) wrt j.\nAnswer: -36*j**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256074347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/42 + (-1367)\/7. List the prime factors of a\/52*(-24)\/2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44115264.81 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.5 (b) 3\/2 (c) -2\/13 (d) -2\/653\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 16 = -3*u, -4*a - 16 = -0*a - 2*u. Let k(f) = 8*f + 1. Let z(j) = 2*j. Calculate a*k(o) + 9*z(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(27\/(-24))\/(3\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 4*r - 0. Let n = r + 34. Suppose 3*z + 19 = 4*p, -n = -5*p + 3*z + 10. Solve -4*w - 2*h = -4 - 6, 0 = -4*w - 4*h + p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(63)*-3.\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 9. Let j(y) = 3*y + 3. What is the lowest common multiple of j(1) and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gygyyyykk. What is prob of sequence yygk?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*n + 65 = 0, 0 = 2*o + 3*n - 45 - 6. Suppose -3*q + 94 = q + 2*z, 5*z - 37 = -q. What is the lowest common multiple of q and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - h**2 - h**2 + (-16 + 16 + 21*h)*(h + 0*h - 2*h) + 3*h**2 - 4*h**2 + 2*h**2 to the form b*h + s*h**2 + c and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -434 and -2158671835.7.\nAnswer: -2158672269.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24337811 (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 3*i + 538. Give f(22).\nAnswer: 1924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*i = 8010, -5299 - 10727 = -4*u + i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142068455.\nAnswer: 5, 28413691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 216410161 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:25 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-35)\/(-30) - 2) + (4 - 125970\/36). Are -3496 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55c + -47?\nAnswer: -5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/((-7)\/21) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 + 122. Let t(r) = -7*r + 88. Calculate the smallest common multiple of 8 and t(a).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 3*g**2 + 12*g - 2 + 0*g**2 - 3*g - 5*g. Let c be u(2). Differentiate -13*v - 2 - c*v + 3 + 7 with respect to v.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 2:51 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence socc when four letters picked without replacement from {c: 4, o: 2, l: 3, s: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = -5. Let l(w) = -4*w - 2. Let o be l(-6). Let q be 2\/(-11) - (-70)\/o. Solve -z = q*d - 10, -14 - 4 = d - u*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54127 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: What is the product of 0.04 and 27?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19109 is divided by 2801?\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -197 - -1381\/7. What is the third smallest value in l, 16, 0.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 1, i: 1, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c*k**2*y - 3*c*k + c*y - 10*k**2 - 4*k*y**3 + y**2 - 1 wrt y?\nAnswer: 4*c*k**2 + c - 12*k*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*x - 31, b - x - 1 = 5. Suppose 2*z = 5*c - 5, -b = -4*c + 3*z + 4. What is the common denominator of -37\/6 and (c\/36)\/(1\/34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2983\/3 - -998. Are w and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257.9016 + 258. Let t = -0.0184 + f. Which is the third biggest value? (a) 10 (b) -2 (c) t (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - ((89 - 81) + (3 - (7 + -10))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16344082837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5\/2 (b) -3 (c) -6\/11 (d) 2 (e) 111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1118124 divided by 203\nAnswer: -5508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28260?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*s + 10*s - 381 + 381.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 - 2*s + 12. Let f be b(0). Suppose 234000 = 10*o - f*o. Round o to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 63*w**2 + 4*w + 27. Let r be y(-5). Let x = -2249 + r. What is x rounded to the nearest ten?\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020637 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = 5*g + 49*q - 53*q, -2*g + 159 = -q. Calculate the remainder when 6306 is divided by g.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2*f = -2*f + 6, -15 = 5*u - 2*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 8*k - 9. Let m be g(-6). Let o(a) = 2*a**2 + a - 2. What is the tens digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10575 = -3*b + 759. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Suppose 4*t + 5*m = 239, 0 = -5*m + 1 + 14. Suppose -5*r - 2*d - 43 = d, -t = 4*r - 3*d. What is o(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16712*d*u**3 - 167*d*u**2 - d*u - 6*u**2 - u wrt u.\nAnswer: 100272*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, o: 3}. What is prob of sequence cco?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(3*q**2 + 0*q**2 - 5*q**2 + (6*q + 7*q - 6*q)*(4 - 2*q - 4)) as c + n*q + k*q**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/3 + 21133*z\/3 - 7044 = 0.\nAnswer: 1, 21132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jrerwrjwrd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105155.\nAnswer: 5, 21031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 1966\nAnswer: -17694","meta":{"dup_signals":{},"source":"arithmetic__mul_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 o(u) = 15*u**2 - 25*u + 92. List the prime factors of o(-14).\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*o**2 + 3*o**3 - 27*o**2)*(2*o + o - o) + (0 - 2*o**2 + 0)*(4*o**2 + 0*o**2 - 5*o**2) to the form w*o**3 + s*o**2 + r*o**4 + f*o + t and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 + 344. Let w = -275.999811 + v. What is w rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_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: Round 28535000 to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001246 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 divided by 10?\nAnswer: 226\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -512261 + 1806261. What is u rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/960 and -107\/100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663471 is divided by 27643?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*q - 6. Let a = q - -10. Factor a*z - 11*z**2 + 2 + z**2 - 4*z**2 + 8*z**3.\nAnswer: 2*(z - 1)**2*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, -0.043, -5, -2, -140?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**7\/2520 + h**6\/144 - h**5\/24 - h**4\/6 - h. Let r(y) be the third derivative of j(y). What is r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 699b1 + -4?\nAnswer: 699aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 67?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*i + 14*i + 2*z, 0 = 5*i + z - 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 2*z + 16. Let y = 75 - 70. Suppose 2*x - 5*c + y = -5, 3*c - 32 = -4*x. Let l be k(x). Solve l = -5*h + 4*g, -h = 4*h + 3*g + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3609 + 1700. Let y be g + 0 + 3\/1. Suppose y - 145312 = 2*b. Round b to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 364 - -751. Suppose j - 3075 = -5*f. Suppose 5*t - f = 448. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*d = 3*d + 11, 0 = 2*j + 2*d + 8. Let a(n) = 3*n**2 + n - 2. Let f be a(j). Let m(z) = 13*z + 5. Let b(p) = -6*p - 2. What is f*m(k) + 5*b(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 26 - 123*i - 2*i**3 - 5*i**3.\nAnswer: -6*i**3 - 123*i - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77934*m**5 - 37812*m - 1 wrt m?\nAnswer: 1558680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81811 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 60*z - 226. Determine o(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56215, -224787, -505741, -899077, -1404795, -2022895, -2753377?\n\"Answer: -56191*c**2 + c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a. Let g(y) = 16*y - 1. Let v(r) = -2*g(r) + 18*n(r). Let j(q) = -1. Let x(s) = -2*j(s) - v(s). Let u(z) = -z. What is x(u(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124498546.\nAnswer: 2, 19, 229, 129223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-20)\/(-8))\/1)\/(2\/92). Let a = -116 + y. What is the units digit of 28 - (12\/3 + a)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861651213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 55073. Let n(t) = -2*t. Determine n(l(k)).\nAnswer: 2*k + 110146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 + 114. Let x(m) = -m**2 - 34*m - 39. What is the hundreds digit of x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 107657.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 8\/(32\/66452) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21283669*u**2 - 178387884 wrt u?\nAnswer: 42567338*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 169, 399, 725?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188 is divided by 384?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Suppose -1292 = -3*b - 4*j + 90, 0 = b - 5*j - 486. Suppose b = 3*n + s. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 6)*(4 - 4 + 15*b**2) + b**2 + 0*b**2 + 5*b**2.\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, 33, 109, 215?\n\"Answer: 15*k**2 + k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 40.2+-5.3\nAnswer: 34.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g = 0. Suppose 4*p + g*p = 4. Let x = 149\/2 - 73. What is the closest to p in -3, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 4*x + 5*x - 9 + (-5*x + x + 3*x)*(-1 + 4 - 1))*(-5*x - 2*x + 5*x).\nAnswer: 6*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 23*q + 94. List the prime factors of b(20).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = 89. Let w = p - -33. Solve -o - w = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**6*(k**(-2\/3)\/k)**(-21\/5)*((k\/(k*k*k*(k*k*k**(-6))\/k*k*k*k)*k)\/k*k*k**2*k)**(-50) assuming k is positive.\nAnswer: k**(-187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = 75*u - 380. Solve 5*w = -3*c + 13, 6 = 5*w - 5*c + u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 128489300 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-46)\/10 - 6\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*j + 2*b, 0 = -j + 3*b + 6 + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + m + 0*m + (-1 + 2 - 4)*(-m - m + 0*m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -64.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1427*l**2. Let k(q) = 2*q - 5. Give x(k(t)).\nAnswer: 5708*t**2 - 28540*t + 35675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000109 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s - 16. What is the remainder when c(9) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-20)\/k*k**(-1)*(k**(2\/7)*k)\/(k*k\/((k**(-1\/21)*k*k)\/k)*k) assuming k is positive.\nAnswer: k**(-478\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = 4*o + 4*r, -18 = 3*o + 2*r. Let x = -56 + 53. What is the tens digit of (132\/8)\/(x\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 0.07603451536?\nAnswer: 0.32396548464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -611 + 686. Calculate the greatest common divisor of i and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33332 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*t = -65*t + 3*y - 2, 10 = 5*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36\/(-2)*(-12)\/9 and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y - 28. Give b(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = 0, 4*i - 25 = -3*c + 10. Suppose i*k + 224 = 19*k. Suppose -k*n = -44 - 116. Sort 1, n, -1.\nAnswer: -1, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17899, 35773, 53617, 71431?\n\"Answer: -15*p**2 + 17919*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27121.\nAnswer: 37, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*g**2 - 75*g**2 + 53*g**2 to the form u*g + d + m*g**2 and give m.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 57*i - 86 - 166 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022442 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 8*x. Let f be m(-8). Suppose -n + 1 + 4 = f. Let d be (14\/21)\/((-1)\/6). What is the nearest to d in -2\/5, -0.1, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -4*s - 16*c + 4, 0 = -3*s + c - 1. Let u = -63\/62 - -16949\/16802. Which is greater: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((20 - 28) + 13) - (0 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 859 and -0.83741596?\nAnswer: 859.83741596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -471.9998076 + 472. What is f rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 divided by -7?\nAnswer: -688\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 1529609991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 504445844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/88*-18*(-18)\/(-22032).\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16279839 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**3 - 4*p**2 - 2*p - 3. Let m be 2 - ((-48)\/27 - (-26)\/(-117)). Let q(w) = 6*w**3 + 5*w**2 + 2*w + 4. Determine m*q(l) + 5*i(l).\nAnswer: -l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**2 + 163782*x + 491319 = 0.\nAnswer: -54591, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/4 and -89\/6402.\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 4*j**2 + 4*j - 8. Let s(z) = z**3 - 5*z**2 + 5*z - 9. Calculate 5*d(g) - 4*s(g).\nAnswer: g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*k + 284*k = 220. Solve -k*l + 12*l = -8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(56)\/(5*sqrt(1152) - sqrt(1152)))**2.\nAnswer: -20743\/2304 + sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(10*(-3)\/(-45)*-201)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 1 (c) 1.9 (d) -1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18973044215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 6. Let x = 0.6 + -1.04. Let n = x - -0.04. What is the second smallest value in y, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/4*-6*32230\/165 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from xzzzszzxxzxxxsx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 115, 73, 31, -11, -53, -95?\n\"Answer: -42*k + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 52*i**2 + 628*i + 503. What is c(-62)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65159210*j*v**2 + 46*v**2 - 7*v - 11462 wrt j.\nAnswer: -65159210*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. What is the closest to -2\/7 in -3, y, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 43 = 29. Suppose -v = 3*n - 27. Suppose -60 + 35 = n*i. Let b(o) = o**3 + 5*o**2 - o + 4. Calculate b(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tigt when four letters picked without replacement from {t: 5, i: 2, u: 2, v: 1, g: 10}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 8*q + 5*v - 1515 = 0, 3*q - 2*v = 2263. List the prime factors of q.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 12. Let q be g(-6). Suppose x = 6, -32*r - 2*x + 24 = -28*r. Solve -13*d - r = -q*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19979 rounded to three dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 + 2*f**2 + 413*f - 413*f. Let l(w) = -43*w. Calculate v(l(b)).\nAnswer: -3698*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/((sqrt(77) - (sqrt(77) + (sqrt(77) + -3*sqrt(77) - sqrt(77) - sqrt(77))))\/sqrt(11)) + -1*sqrt(1088)*1)**2.\nAnswer: 16337\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5 + sqrt(117) - sqrt(13)) + -2*sqrt(832)) - ((5*(1 + sqrt(325))*6)**2 + 0).\nAnswer: -293430 - 9084*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 65*f + 1278 = -39*f. Let a(d) = d**3 + 20*d**2 + 35*d - 33. Determine a(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 + 172*r + 4 - 172*r to c*r + h + a*r**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((-5)\/15) + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 = 5*t + u, -3*u = -t + u + 160. Let p(c) = 2*c + 4. Let w be p(8). What is the greatest common divisor of t and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4.4, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.7 - 10.66. Let b = -0.04 + x. Let p = 0 + 0.4. Sort b, 1\/5, p in increasing order.\nAnswer: b, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8345 is divided by 4169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*d - 35, -2*h - 5 + 3 = 0. Suppose g = -0*g + d. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -44. Suppose 5 = 5*y, -y - z - 5 = -2*h. Let d = -365 - -434. What is the remainder when d is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = o - 4*i + 4, 4*o = -3*i + 27. Suppose -o*w + 2*b + 1955 = 3*b, -w + 665 = -3*b. Suppose -3*p + w = 182. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by -54593?\nAnswer: -67\/54593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 30\/286 + 8\/104\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 20, -3*z + 4 = -d - 4. Suppose -52 = -d*m + 36. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 + 5*t**2\/2 - 4*t - 3. Let v be u(4). Suppose -7 = -4*d - 3, 2*d = 3*f - 4. Solve 2*r + f*r - 20 = v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from imirifhhhhhmfhmimhh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 8. Let d be c(4). Suppose -3*r = r - d. Let j = r - -61. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 401053954 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24235 divided by 1\nAnswer: 24235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -575, -1089, -1543, -1937, -2271, -2545, -2759?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**2\/3 + 244*a\/3 + 82 = 0.\nAnswer: -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 3*h - 4*h + 5*h + (h**2 + h**3 - h**2)*(h**2 - h**2 - 2*h**2).\nAnswer: -h**5 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -196? (a) 0.5 (b) -1\/3 (c) 5 (d) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2 - 4*u - 3. Let s be r(4). Let o = -46 - s. Let l(c) = c**3 + 6*c**2 - 11*c - 10. Calculate the remainder when o is divided by l(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6))\/(3\/36). Let r = b + -9. Let i be 17 + -2*r\/2. Solve -2*s - 22 = -4*w, -2*w + 2*s - 8 = -i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -672 divided by 16.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -511\/1419 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-6*i + 4*i + i**3 + i**3).\nAnswer: 4*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (21 + -24)) + -13?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 11269696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -177 in 181, 71, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -0. Suppose 2*p - h*s = -s - 9, -5*s = 3*p - 34. Suppose p*r = 6*r - 9. Solve 3*c - 13 = r*g + 5*c, 2*c = -g - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0*t**2 + 5\/42*t**3 - 1\/84*t**4 - 3 + 2*t. Suppose s(n) = 0. What is n?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.537 + -0.063. Let r = -1.4 + i. Let w = r + 6.06. Which is the third biggest value? (a) w (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**6\/360 + 5*g**3 + 8. Let z(c) be the third derivative of i(c). Let a(y) = -12*y**2 + 2. Determine a(z(q)).\nAnswer: -12*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 178*v**2 + 2*v + 1. Let m be q(-1). Suppose 0 = -2*b + m + 67. What are the prime factors of b?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-4) + -1)*0. Suppose z - 58 - 160 = d. Is z a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*w + 14 = 0, 6*w = -2*l + w - 13. Let s(z) = -1 + 2*z + 3*z + z. What is the units digit of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 6:08 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*y - 14 = 0, -169*k + 168*k + 12 = -5*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -805*o - 4*o**4 + 841*o + 13*o**4 wrt o.\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2)*n)**43*(n\/n**(2\/5))**(15\/4) assuming n is positive.\nAnswer: n**(697\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**4 - 1\/6*b**3 - 7\/5*b**5 + 3*b**2 - 9*b + 5. What is the first derivative of w(z) wrt z?\nAnswer: -84*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18070633*y**2 + 17 + 18070666*y**2 - 4 - 1.\nAnswer: 33*y**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 + -25079.\nAnswer: -24965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 - 166*u**2 - 205*u + 589. Calculate o(-54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and (-580185)\/(-990) - 4\/88.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, 0.02, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let y be (-1)\/((-8)\/(-14)) + 2. What is the second smallest value in -2, y, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2 + 2*k**2 - k**2 - 11*k + 0*k**2 - 6. Let d be g(12). Is d*1\/(-2) - -32 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 + 11*k**2 - k + 5*k**2 + (6*k - 4*k - 3*k)*(3*k - k + 0*k) + 0*k**2 + 4*k**2 - 3*k**2 in the form t + j*k**2 + c*k and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67955583, 135911155, 203866727, 271822299?\nAnswer: 339777871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15 + 0 = 3*v, v - f = 5. Suppose 5 = -v*w, -5*i + 3*w + 4 = -9. Solve -k + 2*x + 3 = 0, k + x - i - 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1)*(2 + -5). Let f(z) = 9*z**2 - 3*z**2 - s*z**2. Let b(p) = -6*p**2. Calculate f(b(j)).\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906 at most as big as 59046\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92098279\/396 - -232571. What is the common denominator of n and 109\/22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14857137?\nAnswer: 3, 1650793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 790\/12 - 1\/1. Let z = 65 - i. Is z < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7619188 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 - 4 - 4*i + 0*i**3 - 3*i**2 - 3*i**3 + 6*i**2. Let f(c) = -c**2 + 32*c - 249. Let l be f(13). Give s(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 14. Solve w*t + 0*t + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v**3 - 3 + 3.\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvvxxpvy. What is prob of sequence xyyv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by -15171.\nAnswer: 84\/5057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -89\/25 (b) -11.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1725, -1, 1, -0.5, 1\/10 in increasing order.\nAnswer: -1, -0.5, -2\/1725, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.5 + 8. Let n = -55281 + 55279. Let y = 0.46 - 0.06. Sort n, a, y, 2.6 in increasing order.\nAnswer: n, y, a, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2045*x + 83686. What is h(-41)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.193 - 0.2293. What is g rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 3*m + 0*m + (6 - 6 - 2*m)*(-3 + 4 + 3))*(-m + m - m**3).\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/274 and -25\/2?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2 and -35\/1416.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/(-12))\/(1\/(-4)). Suppose -x = 4*x - n. Suppose -x*h + 109 = -122. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234070831997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -8. Let o be 170\/45 - h\/18. Suppose -4*b = -o*f - 12, b = -2*f - 2*f + 23. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270*d**4 + 8*d + 47*d**2 - 45*d**2 + 266*d**4 + d**3 + 6 to the form n + b*d**4 + f*d + i*d**2 + l*d**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/168 and 27\/161.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546223 + 5328?\nAnswer: 2551551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3067, -3052, -3037?\n\"Answer: 15*v - 3082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8.6. Let p = -1.1 - f. Sort p, -2\/9, 10 in decreasing order.\nAnswer: 10, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -816 divided by 51?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 7*d**2 + 9*d + 8. Give u(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*s + 3461 - 17541 = 0 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*w = -60, j = 5*j - 4*w - 88. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776747.6 hours to milliseconds.\nAnswer: 2796291360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.02 + 0.02. Let k = x - -4. Let c = 0 + 2. What is the smallest value in 0.4, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 1. Let z(x) be the third derivative of -x**4\/4 - 5*x**3\/6 + 27*x**2. Let j be (1 + 0\/1)*-1. Calculate j*z(p) - 4*c(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25128759 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499657 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 494, 853, 1198, 1523, 1822, 2089, 2318, 2503?\n\"Answer: -i**3 - i**2 + 369*i + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 94*h + 9272 = 31*h. What is the lowest common multiple of 190 and h?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.27222 and 2.\nAnswer: 2.27222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)\/sqrt(6) + 0.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 28\/3, 0.4, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 384680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 5:33 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429394.2 milliseconds to seconds.\nAnswer: 429.3942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s - 47*s = -3*d, -s + 4*d - 25 = 0. Let k(o) = -3*o + 3. What is k(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 + 3*b - 3. Let t be q(3). Suppose 3*o + 43 = -4*n + 114, -5*o - 2*n + 109 = 0. Calculate the highest common factor of o and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-2))\/((-4)\/28). What is the common denominator of -31\/14 and (-5)\/z + (-557)\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476 (base 10) in base 6?\nAnswer: 15244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 20121\/8380?\nAnswer: 20121\/8380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 - 2. Let q be w(-4). Let k = -102 - -75. Let g be 16\/q*k\/(-36). Is 0 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8613, -8577, -8541, -8505, -8469, -8433?\n\"Answer: 36*a - 8649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 5, p: 2}. What is prob of sequence ssh?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/300 + 7*u**5\/150 + 7*u**4\/60 - u**3 - 94*u**2. Factor g(a).\nAnswer: 2*(a - 1)*(a + 3)*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*z - 4*z. Suppose 4 = -z*q + 4*q. What is the third biggest value in -1, q, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10338 - -314. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*j + 10127 = 536*j + 1957 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (350\/(-75))\/(24\/(-108))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114417 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 73935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15493135 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 8*g - 84. Let x be g\/(-126) + 20\/9. What is the greatest common divisor of 22 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23065, -49142, -75219?\nAnswer: -101296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 2*y + 2. Suppose -5*c + 13 = w, -5*w - 14 - 5 = -3*c. List the prime factors of s(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 39, 70, 113, 168, 235?\n\"Answer: 6*v**2 + v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) + 3))**2*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148, -18, 2, 1, 25, -4 in ascending order.\nAnswer: -148, -18, -4, 1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11820751.\nAnswer: 41, 229, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7072\/3042*9 - 20.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2\/4*-12. Suppose d = -3*d + v. What is the second derivative of -4*q + 0*q - 3*q**d + 5*q + 4*q wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((132\/(-16))\/11)\/(3\/(-2)). What is the closest to 2 in 16, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.33 in -0.3, 0.1, -2\/3, 5\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 2, i: 1}. What is prob of picking 2 k and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 631812.3 micrometers?\nAnswer: 0.0006318123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -45758.\nAnswer: -2\/22879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 10871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -1024.97.\nAnswer: -13324.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/(0 + (-30)\/585). Suppose b - 408 = -4*h, 6 = 4*h + i. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 0, 3*o + 153 = -2*k + 39. Let d = -41 - k. Suppose 12*x + 16 = 14*x. What is the highest common factor of d and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/(-12))\/(-9) + 5\/4. Do i and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*u = 4, -15*x + 14*x - 5*u = -10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/31 in -4, -0.5, -560, -24, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49827.\nAnswer: 3, 17, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 96, 130, 164?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -400, -800, -1202, -1606, -2012?\nAnswer: -2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:46 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**3 - 4*l**2. Let h be 8\/10*70\/14. Let r(c) = -c**2. What is h*r(z) - a(z)?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17763762 + 1\nAnswer: -17763761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*y**5 + 105*y**4 - 2*y**3 - 2*y - 13164?\nAnswer: 340*y**3 + 1260*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 35 + 0 + 2 + -10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + 0 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58\/15 - (-2)\/15. Let l be (-34)\/(-2) - 2\/1. Suppose -2*d = -4*i - l - 25, 30 = 5*d + k*i. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(-124))\/(2\/((-16)\/7)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*g - 4*r, -g + 5*r = -3*g - 3 - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97\/44 + -16\/11. Let h = 3 + -3.19. Let w = h + -0.01. What is the biggest value in w, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7996 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -2 (c) 1\/89 (d) 2\/15 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582849 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by -1361\nAnswer: 114\/1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 55*r + 965 = 0, 17*i + 56 = -21*i + 34*i + 2*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 13) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22535846, 22535845, 22535844, 22535843?\n\"Answer: -a + 22535847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1909674*d*s**4 - 1037241*d*s - 2*d - 2*s**2 wrt s.\nAnswer: 45832176*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 10. Let y(x) = -1. Let f(i) = s(i) - 6*y(i). Let a(v) = 5*v - 7. Let u = -164174 + 164163. What is u*f(p) + 6*a(p)?\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7019239 - 9931959 = -22*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.95 + 0.05. Let z be -3 + 334\/68 + -2. Let v = 19\/170 - z. Which is the second smallest value? (a) n (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 64. Solve i*g = 2*g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1245 divided by 140?\nAnswer: -249\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 + 0.5?\nAnswer: 1062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + f**3 + 0*f**3)*(5*f - 2*f + f) - 2*f**4 + f**3 - f**3 + 5*f**4 + f**4 + 0*f**4.\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 29577 = -187. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178\/69 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 0*j**2 + j**2 - j**2 - 2*j**2 + j**2 + 2*j**2 - j**2 + 0*j**2 + 3*j**2 + 0*j**2 - j**2 + (3 + 3 - 5)*(j**2 + 1 - 1) - j**2 - 2*j**2 + 39 - 50.\nAnswer: -2*j**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 45 = 5*t, 17*t - 14*t - 4*a - 56 = 0. Solve t = 15*r - 21*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645*x**5 - 14803*x**4 + 189193*x**3 - 557885*x**2 + 504048*x - 612 = 0.\nAnswer: -17, 2\/1645, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:41 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*z - 15, -5*k + 5*z + 3 = 28 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -201*d - 1082. Let g be j(-5). Are g and -72 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619, 622, 625, 628, 631?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f - 2. What is the remainder when 350*(-47)\/(-658) + 23 is divided by r(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-37)\/(m**33*m) assuming m is positive.\nAnswer: m**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*u, 4*u = 121*t - 126*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a - 4*w + 376 = 0, -2*a + 2*w + 246 = 0. Is 31 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*x - 534, 17*o - 102 = 16*o + 4*x. Solve -105*w + 1 = -o*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.122 in -1\/4, -14, -2, -2\/3, 4\/5, -145\/21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwwel. What is prob of sequence jwe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 6*h**2 + 11*h + 7. Let y(d) = d**3 + 8*d**2 - 9*d - 9. Let m be y(-9). Let z be j(m). Let s = -266 + z. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.68 to the nearest integer.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -55006 times 1.6\nAnswer: -88009.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/(7\/((-126)\/(-156))). What is the closest to -0.5 in -0.3, q, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -914886 by -3.\nAnswer: 304962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3150 (b) 0.5 (c) -0.1 (d) 99 (e) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -2\/9, -1329, -3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*v + 3131, 4*v - 2513 = 80*m - 75*m. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddp when three letters picked without replacement from pdwdd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 144, 456, 1060, 2052, 3528?\nAnswer: 5584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {h: 4, v: 1, q: 2, g: 7, x: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (34 - 31) + (-3 - -1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 2*a**2.\nAnswer: -2*a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d + 0*d + 0*d + 2 + (1 - 2 - 1)*(-d - 5 + 5) + 1 - 1 + d.\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107819\/12 - 8995. What is the common denominator of z and 11237\/(-2040) - (-8)\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 1266 (c) -0.1 (d) -0.3 (e) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1339 and -23\/195.\nAnswer: 20085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 194460 (base 10) to base 16\nAnswer: 2f79c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432188333 to the power of 1\/2, to the nearest integer?\nAnswer: 20789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/((92\/888)\/23). Let b(a) = 292*a**2 - k*a**2 - 89*a**2. Let s(r) = 4*r. Calculate b(s(f)).\nAnswer: 880*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let w be t(-2). Let m(p) = p**2 + 2*p. Let r be m(w). Suppose -2*g - 2*b = -5*g + 47, 2*g + 4*b - 58 = r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3739798, 7479453, 11219106, 14958757?\n\"Answer: -j**2 + 3739658*j + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/36)\/((((-14)\/112*-2)\/10)\/1)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1436 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -3*u**4\/4 - u**3\/6 - 2*u**2. Let d be o(-2). Suppose 2*v - 19 = 2*j - 113, j - d = 4*v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 245?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdhhdhhh. What is prob of picking 4 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 35 = 2*p - 4*w, p + 39 = -5*w. Let n = p - -34. Suppose s - 2*s - 4*a = -419, s - 4*a - 395 = n. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69275469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*k = 19, -9*i - 2*k = -4*i - 22. Let z(g) be the third derivative of g**4\/24 - g**3\/6 - g**2. Let w(v) = 5*v - 2. Give i*z(a) - w(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrw when three letters picked without replacement from rrryjyjyryjrwjv?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 135266849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z + 4 = 0. Suppose o - 12 = -o + 4*p, 4*p - 48 = -z*o. Let h be 5\/o*(-8)\/38. What is the smallest value in -2, h, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f85 - 1?\nAnswer: -f86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16844716 = 21*s - 59387083. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 25 + -28 + 4 + -1 - -13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-22))**(-3\/2))**(-2\/87) assuming h is positive.\nAnswer: h**(-20\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 7) to base 3.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (238284\/(-52952))\/((4\/12)\/((16\/(-126))\/2))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.61*-0.2.\nAnswer: 0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 v when four letters picked without replacement from {v: 1, r: 7, u: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773106.\nAnswer: 2, 3, 269, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-42))\/(((-63)\/(-12))\/7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -1. Let v be -4 + (-2)\/j*0. What is the units digit of (1 - v) + 6\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449368.\nAnswer: 2, 56171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x**5 - 4125*x**4\/7 + 486*x**3 + 148728*x**2\/7 + 110604*x\/7 - 4365 = 0. What is x?\nAnswer: -5, -1, 3\/14, 7, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1118768 and 268?\nAnswer: 74957456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320420 a multiple of 746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*t**3 + 89*t**3 + 271*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h + 10. Let o be 4\/20*-2*1. Let f = -2 - -1.8. What is the nearest to -2\/3 in h, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*c + 304377856*a**2 - 1751178*a*c + 7*a - c wrt a.\nAnswer: -2*c + 608755712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 20*p - 113. Let b = -483 + 491. What is the remainder when 563 is divided by y(b)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (6 - (28 + -9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*n**2 + 1489*n**2 + 2800*n**2.\nAnswer: 4391*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 344*v + 344*v - 45 - 686*v - 2*v + 2 - 2 + (2 + 0 - 5)*(5*v + 6*v - 4*v) in the form c + z*v and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, 1 f, and 1 g when four letters picked without replacement from {q: 1, c: 1, f: 1, g: 1, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2 (b) 2510 (c) 1 (d) -27\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.74626 tonnes to kilograms.\nAnswer: 42746.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 9 = -2*r, -2*r - 2*z - z = -33. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/12)\/(1\/(-8)))\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4*n - 217, 55 = u - 5*n - 0*n. Suppose 2*g - u = -13. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34134697*k**4 + 358*k + 17062.\nAnswer: 409616364*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -1 + -23 + 20. Sort -1, -3, h.\nAnswer: -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20 = -4*v, -3*v + 4*m = -0*v - 28. What is the tens digit of (38\/(-6))\/(v\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1289383 and -33\/95414342?\nAnswer: 95414342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unnrrnrrnn. What is prob of sequence nrnr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(45))**2 + -3*(2*sqrt(45))**2 - (2 + 3 + sqrt(180)*3)**2.\nAnswer: -2131 - 198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/30 - 294*u**2. Let a = -1 - -3. Let r(g) = -2*g**2 + 3*g**2 - a*g**2. Determine r(t(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 25*o - 1280. Let a(v) = 14*v - 635. Calculate -11*a(g) + 6*f(g).\nAnswer: -4*g - 695","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 818976 divided by -304?\nAnswer: -2694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*x**2 + 9*x**3 + 4 - 8 + 3*x**2 wrt x?\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 108*b**2 - 2837*b - 700. Let t(w) = -40*w**2 + 946*w + 233. Let r(j) = -8*t(j) - 3*u(j). Factor r(d).\nAnswer: -(d - 236)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125228972 is divided by 793.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5742c (base 14) to base 16\nAnswer: 33c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48785 and 48106445?\nAnswer: 529170895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + 1 + -64 - -35 - 153?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -287683*k - 3. Let v(z) = 9*z. What is v(y(s))?\nAnswer: -2589147*s - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 18.54, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*o**2 - 2)*(-o**3 + 0*o**3 + 3*o**3) + (-16*o**3 + 8*o**3 - 28*o**3)*(0*o + 0*o + o**2) + o**2 - o**2 - 3*o**5.\nAnswer: -35*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4787, 0, 3, 1, -7.\nAnswer: -4787, -7, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:45 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33060943583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12702)\/240 - 1\/5. Let s = c - -1073\/20. Find the common denominator of -17\/12 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 130. Put d, 33, -0.3 in ascending order.\nAnswer: -0.3, d, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*l + 2. Let d be (0 - 1)\/l*1. Let b = -2463 + 2486. Which is bigger: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 - l - 1. Determine p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 15*b**2 + 4*b - 5. Let c be y(2). Suppose -c = -4*o - 195. Let i be 1\/3 + (-88)\/o. Solve -i*z + 12 = -0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(176)*-2 + 3)**2 + (sqrt(176) + 0)*1.\nAnswer: -44*sqrt(11) + 717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 15*k + 1 = 4*q, 0 = -k + 4*q - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/2 and -10\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*f**3 + 4 - 7 + 9*f**3.\nAnswer: 63*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((32\/(-12))\/1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = -3*s, -1 = -2*s - l - 0. Suppose s = -9*r - 5079 + 16410. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 717*v**3*x**3 - 33*v**3*x + v**2*x**3 + v**2*x**2 + 3144061*v*x + 42422*x**4 wrt x.\nAnswer: 4302*v**3 + 6*v**2 + 1018128*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/(-18))\/((-1)\/(-24)). Calculate the highest common divisor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*k - 148147 + 375159, 4*k + 5*g - 227012 = 0. What is the thousands digit of k\/38 + ((-45)\/6)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 + -55831070?\nAnswer: -55831070.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 10*q + 27. Determine f(11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -57.7. Let a = -0.7 + y. Let i(p) = p**3 + 6*p**2 + 6*p + 3. Let d be i(-5). Sort d, a, -1.\nAnswer: d, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/143 and 10\/8073.\nAnswer: 88803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003072 to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8223 + 0.5?\nAnswer: 8223.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 244121599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2. Let c(a) = 1 - 6*a**2 + 5*a**2 - 6. Let i = -12 - -7. Let n be 48\/72*(10 + -7). What is i*z(h) + n*c(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 72*z - 2026. Give f(18).\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 70*h**2 - 1\/12*h**4 + 0*h + 0*h**5 + 0*h**6 - 5\/2*h**3 + 0 - 1\/8*h**8 + 0*h**7. Find the second derivative of p(c) wrt c.\nAnswer: -840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipip when four letters picked without replacement from pipipppppipipp.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 12*i**2 - 8\/7*i**4 + 44\/7*i**3 + 4\/7*i - 4 = 0.\nAnswer: -1, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-3) + 34\/3)*-11936. What is k rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110084788.\nAnswer: 2, 11, 293, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 3. Let h be o(6). Let j(v) be the second derivative of -v**5\/20 + 5*v**4\/4 - 13*v**3\/6 - 6*v**2 + 9*v. Let g be j(14). Solve -g*f + h = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18273 divided by 79\nAnswer: 18273\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382715, -382565, -382323, -381989, -381563, -381045?\nAnswer: -380435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16566 divided by -6?\nAnswer: 2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 50*p + 768. Let w(n) = -28*n - 386. Calculate 4*c(v) + 7*w(v).\nAnswer: 4*v + 370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*d + 32651 - 32651)*(1 + 22 + 1).\nAnswer: 2544*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/255016 and 7\/34136.\nAnswer: 4335272","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/((-2)\/((-8)\/(-4))). Are 9 and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24186 (base 10) to base 6.\nAnswer: -303550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1351516?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 f when four letters picked without replacement from fyffyfyfyyfff?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -82, -3\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) 0.5 (c) 391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from afaapapqza?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154 - -159. Suppose -q + 11 - f = 0. Solve -q*v = -4*v + 4*d - 12, v + 4*d = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312756 and 151217526.\nAnswer: 302435052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11007?\nAnswer: 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*t + 56, 0 = -3*s + t + 2*t + 168. Let v = -25 + s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f + 0 + 1\/2*f**3 - 1\/24*f**4 - f**2. Let w be v(3). Solve u + 3*u - 4*c + 32 = w, -5*u - c - 22 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 8 = -30. Let p(b) = 5 + 3*b**2 + 3*b - b**2 + b**2 + b**3 + 0. Is 3 a factor of p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921*p + 915*p + 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/7 + 594*z**3\/7 + 86409*z**2\/7 - 534600*z\/7 + 810000\/7.\nAnswer: (z - 3)**2*(z + 300)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -396 + 422. Let k(t) = -3*t - 3. Let z be k(o). Which is the biggest value? (a) z (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -445*u - 15598. What is c(-35)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3330\/(-740))\/(6\/20).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/24 + 59*w**3\/6 - 3481*w**2\/4 + 205379*w\/6 + 59. Factor z(u).\nAnswer: -(u - 59)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/5892312 and -1\/5155773.\nAnswer: 41246184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -143*618\/(-117832)*264\/9\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3 - 5122*m - 3220.\nAnswer: -6*m**2 - 5122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**5\/60 + x**4\/8 + x**3\/3 + 61*x**2. Let f = 24 + -21. Suppose -f = -3*o + 2*p, -2*p = 4*o - 18 - 0. Calculate h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25307302 is divided by 443.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062227497 to 7 decimal places.\nAnswer: -0.0006223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -3341012?\nAnswer: 3341020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103283 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-10)*s*s\/s**(17\/3)*s**(-5\/4)*s\/s**(-2\/11) assuming s is positive.\nAnswer: s**(-1681\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*a + 7358 + 1914. What is the remainder when 5111 is divided by a?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c - 4 + 5)*(12 + 34 + 33).\nAnswer: 79*c + 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 355421090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*o - 17*o - 834. Let j = o - 278. Solve m = 2*v - 3*m + 14, -3*v + 5*m - 18 = j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14174491?\nAnswer: 83, 170777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 + -20 - (1 - -7)) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhj when three letters picked without replacement from {h: 1, c: 2, t: 1, j: 1, g: 2, m: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 58 - 180 - 84438*j**2 + 84434*j**2 + 62.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*o - 537*o + 1640*o + 689*o = -60690 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let b be y(5). Let n = 2 + -5. Let f = n - -4. Sort b, 2, f in descending order.\nAnswer: 2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -998?\nAnswer: -99c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*k**3 + 56*k**2 - 80*k + 32.\nAnswer: -4*(k - 2)**2*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-12)*1 - (118360\/1056 + -65)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - (-17 - -18)) + -19 - 11.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-5)\/(sqrt(66)\/sqrt(96)) + (sqrt(112)*1 + sqrt(35)\/sqrt(80))*5.\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let q = -15 - -27. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1047 and -282.7.\nAnswer: 295986.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1956*u**2 - 13*u + 27. Let o(y) = 978*y**2 + 6*y - 13. Let k(m) = -3*h(m) - 7*o(m). Find the second derivative of k(g) wrt g.\nAnswer: -1956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 < 274\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + (34 - 18))*(-1)\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -12. Let o be (2\/3)\/(-1)*t. Let u(i) = 3*i + o*i**2 + 2 + i**3 - 2*i**2 - 3 + 3*i**2. What is u(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/335, 79, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1083781225.6 to the nearest one million.\nAnswer: 1084000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjjtjidy. Give prob of sequence itjy.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101101100 - 10100101?\nAnswer: -10001000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5675*u**2 + 7106*u**2 - 1423*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 43. Suppose 0 = -4*t + z*m + 289, 0*t + 2*t + 5*m - 177 = 0. Suppose 4*o = 296 - t. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1120, -1124, -1128, -1132, -1136?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 20*y**2 + 26*y + 48. Calculate the remainder when h(-7) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45289624?\nAnswer: 2, 5661203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3 + 423*p**2 + p + 1038.\nAnswer: 6*p + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5 + 58130*v**4 + 290525*v**3 = 0. What is v?\nAnswer: -11621, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 + 2*n + 2. Let g(r) = r**3 + 18*r**2 - 18*r + 26. Let w be g(-19). Let h(y) = 19*y**2 - 3 + 19 + 9*y - w. Determine -2*h(p) + 9*l(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 61?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9388 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -17*u + 1. Let f(b) = -35*b + 2. Let z(i) = -13*c(i) + 6*f(i). What is the units digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 432.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 14. Suppose 3*j - j - 4 = 0. Suppose m*s = -4*p, -j*s = 2*s + 16. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 11*n + 28. Suppose 36 = 2*c - n*c. Let s(a) = a**2 + 7*a + 4. What is s(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 954d0 (base 14) in base 15?\nAnswer: 71bda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 9\/4*p**4 - 16 - 1\/3*p**3 - 41*p + 0*p**2. What is the first derivative of i(o) wrt o?\nAnswer: 27*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1492*g**2. Let d(o) be the first derivative of -o**2\/2 - 18. What is d(f(i))?\nAnswer: -1492*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -185728 divided by -11608?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 12386*k + 61954. Calculate j(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*n + 365*n - 611*n - 500*n - 701*n to p*n + g and give p.\nAnswer: -1714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:52 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - (3 - (-2 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 2*m**2 + 36*m + 2*m**2.\nAnswer: 2*m**3 + 36*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 30*m**2 + 4*m - 35. Let g be h(17). Let c = g + 139. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -930 + 1009 - (1 + 1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23603 to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 8:03 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(66)*-1*6 + sqrt(66)))\/(sqrt(150)*-1*5 + sqrt(150)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11291*c**2*q**2 - 17553*c**2 - 11*c*q**3 + 896*c*q - 116*q**3 wrt q?\nAnswer: 22582*c**2 - 66*c*q - 696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 192.65 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-16) + 39\/(-8). Suppose -6 = 2*k + k. Put -3, k, p in decreasing order.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let m(b) be the third derivative of 0 + 0*b + 0*b**3 + 0*b**4 - 1\/60*b**5 - 2*b**2. What is z(m(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*4685\nAnswer: 1405.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91688, 183366, 275044, 366722, 458400, 550078?\nAnswer: 641756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:05 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158 * -817.\nAnswer: -129086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 354 (b) -2 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 21. Let z = 11 - r. Let l = 117\/70 + -11\/10. Is l equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5) + sqrt(20)\/sqrt(4)*-2))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and -2.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6083 - 10?\nAnswer: 6073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 34975 = 2*y, 2*u - 25243 + 77705 = 3*y. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 12. Let b be f(10). Let d = 21 + b. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 15 = 5*l, -4*u - 5247*l - 22 = -5249*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 777*k**2 + 4*k**3 + 6 - 780*k**2 + k as g*k + q*k**3 + b + p*k**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -37. What is the tens digit of 225\/(-20)*p\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/16276 and -85\/25900124.\nAnswer: 336701612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6650 = i - 2*i - 2*y, 0 = -i + 2*y + 6650. Suppose 6*g + i = 1610. What is g rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 873.\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18090 = -16*t + 127114. What is the remainder when t is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21222301310 (base 4) to base 8\nAnswer: 11526164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*s - 3*d + 10, 5 = -3*s + d. Let m = 46 + s. Suppose 4*b + m + 26 = 3*a, -3*b - 54 = -2*a. Is 0 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -610000 to the nearest ten thousand.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 + 2*h**2 + 76. Let u(s) = -7*s**3 - 5*s**2 - 75. Give 4*p(g) + 3*u(g).\nAnswer: -g**3 - 7*g**2 + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 divided by -5?\nAnswer: 353\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*z - 252 - 320 = -233*z for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -58 in descending order.\nAnswer: 0, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102020211120120 - -10?\nAnswer: 102020211120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1265 and -61\/330?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/9 and -31\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. What is the smallest common multiple of 0 + 9 + q + 0 and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 18.025. Let q = -0.025 + f. Sort -26, -0.3, q in descending order.\nAnswer: -0.3, q, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 15 - (10 - 9)) + -24\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194*w**6 - 85680*w**5 - 55*w**6 + 85675*w**5 + 830*w**2 wrt w.\nAnswer: 16680*w**3 - 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -764882492 and -1613.\nAnswer: -764884105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 41\/3 - 2\/(-6). Let z(g) = 12*g**2 - 5*g**2 - 3 + 11*g - 8*g**2 - 11. Let f be z(7). Calculate the greatest common factor of f and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 30 = 16*x - 5*g, 5*x - 7*g = -34 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 7738?\nAnswer: 7738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-214)\/6)\/((-3)\/9) is divided by 2608\/72 - 2\/9?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(-2\/7))))\/(v*v**(-4)*v)*(v**(1\/4))**(-43) assuming v is positive.\nAnswer: v**(-225\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59376 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 13*r**2 - 39*r + 10. Let y be x(-8). Suppose -2*j + 8833 = h + y*h, 4*h = 2*j - 8798. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13*c**2 + 15*c - 40. Let z(v) = -18*v**2 - 23*v + 61. Let i(u) = 7*j(u) + 5*z(u). Determine w, given that i(w) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, x: 6}. Give prob of picking 2 m and 2 x.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/21 (b) -4 (c) 2\/3 (d) -7.199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 4 - 8*g**2 - 1 + 5.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 61116?\nAnswer: 122232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 68 = 57*f - 145. Which is the nearest to 1? (a) f (b) 65 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 311128 and 32240639?\nAnswer: 257925112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -52\/5. Which is the nearest to 2? (a) -4 (b) 0.02 (c) -0.02 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**2 + 4*o**2 - 9*o**2 - 938*o + 939*o to s*o**2 + d + t*o and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 104901767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 802063664*y.\nAnswer: -4*y*(y + 200515916)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-21))\/((-47)\/(-36519)). Which is greater: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/130 and 45\/33878.\nAnswer: 169390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 230324 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1214*i + 6*i**2 + 248*i**4 - 250*i**4 - 6*i**2 + 49*i**5 - 269*i wrt i.\nAnswer: 980*i**3 - 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48981980 is divided by 709.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -362206*h**5 + 7*h**4 + 2*h**3 + 10*h**2 - 85564*h - 3.\nAnswer: -21732360*h**2 + 168*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 31*x**8\/168 + 15*x**5\/4 - 85*x**2. Find the third derivative of c(p) wrt p.\nAnswer: 3720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 3) to base 6\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s + 55*s = -60*s + 332. Which is the closest to -2\/7? (a) 1 (b) s (c) -1 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Suppose -3*m + 4*m + 67 = o*n, 0 = -5*n + 2*m + 112. Suppose z = 3*z - n. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60965*c + 60979*c - 29862 = 0. Solve 0 = w + 2138 - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*((-100737)\/(-123))\/39.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6894 or -7286?\nAnswer: -7286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10a722 - 0?\nAnswer: -10a722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 103*d + 1. Let n(y) = 105*y + 1. Calculate 4*k(a) - 3*n(a).\nAnswer: 97*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 7:47 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 24, 485.\nAnswer: -3, 1, 24, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 212400643850 and -0.003.\nAnswer: 212400643849.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*3)\/(6\/(-4)). Suppose -6*p - 52 = -l*p. Let o = 24 + p. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -62. Let x = u - 16. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 195, 360, 561, 792, 1047?\nAnswer: 1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 86 = -18*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11596 and 2626.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k = -22*k - 58*r + 28*r + 28*r - 136, 2*r - 40 = 2*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - 24. Let m be ((-6)\/4)\/(27\/l). Solve 3*v - 13 = 2*k, -m*v - 11 = 4*k - 5*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 6. Let p be t(-6). Let d(h) = 12*h + h**3 - 10*h + 3*h**2 - 2*h**3 + 5. Let f be d(4). Put p, 1, f in descending order.\nAnswer: 1, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8*a + 180. Suppose 4 - 19 = -3*p. Calculate the highest common divisor of p and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 536 = 3*i, -6*i - 1580 = -3*s - 4*i. Calculate the remainder when s is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1679?\nAnswer: 1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from zzzwwwwwywwwzwyzwzwz.\nAnswer: 77\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40, 72, 108, 148, 192?\n\"Answer: 2*s**2 + 26*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -385 - -368. Let b(c) = -c**2 - 15*c + 58. Let y be b(s). What is the highest common divisor of 114 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 2*b - 18, 11 = 3*i + b. Solve i*q = 4*k + 28, 6*k - 3*k = -9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, 1\/2, 5, -5\/6, 2\/5, -6.701, -0.09?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3 - 36948*x**2 - 110823*x - 73878 = 0.\nAnswer: -12313, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -62 - 133\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from nnnnnnnwwh.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3294 + -3333. Which is the fourth biggest value? (a) s (b) -5 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/(c\/c**(-2\/3)*c))**(-44)*((c\/(c*c**0\/c*c))\/c)**(-14)*(c\/c**(-2\/3))\/c**(-2\/5) assuming c is positive.\nAnswer: c**(447\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 8*n - 6. Let f be g(9). Let r = 154 - 151. Suppose r*p + 3*h = 111, 0 = 4*h - 1 - 15. What is the highest common divisor of p and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 8. Let c be i(-22). Is c\/(-24) - (-31542 - (-2 - -5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = -o, 5*x - 5*o = 0. Suppose -h - 7*h + 16 = 0. Suppose x = h*s - 4 - 4. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 15*a**2\/2 + 3*a - 260. Let l(o) = 7*o**2. Calculate l(w(t)).\nAnswer: 1575*t**2 + 630*t + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 12*l + 2. Let y be f(-12). Which is smaller: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -1, 1\/25, 12461, -16 in descending order.\nAnswer: 12461, 3\/8, 1\/25, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 3*n**2 - n. Let u be g(-3). Which is greater: 2\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 373*u**5\/30 + 24*u**3 - 22*u**2 + 6. Find the first derivative of a(t) wrt t.\nAnswer: 1492*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.85923 - -0.14077. What is the fourth biggest value in -12, n, -0.12, -1\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 96. Calculate b(-29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(-14)\/175 + (-42)\/(-10). Suppose -q + 3*l = -5, -1 = -q - l + 2*l. Let u be (-210)\/63*(q - g). What is the greatest common factor of 60 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -42. Suppose -4*f + 93 = -w, 5*w + k = f - 40. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30110 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 = 385*n + 16 - 577 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/((-464)\/(-2030))*4*(-272)\/(-56).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:32 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 6*a**2 - 2*a - 8. Let o be s(-6). Suppose -n + 194115 = o*n. Suppose n = 3*c + 152823. What is c rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836298*p - 417911*p - 418388*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22167\/4 - 5542. What is the nearest to -13 in 3, i, -1\/6, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4 + 14102*m**3 - 2833*m wrt m.\nAnswer: 12*m**2 + 84612*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -40*g**2 + 42*g - 1. Let l(f) = 81*f**2 - 98*f. Let a(i) = 3*l(i) + 7*w(i). Let d(y) = -3*y**2. Calculate d(a(r)).\nAnswer: -4107*r**4 - 1554*r**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:10 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -43145?\nAnswer: 25887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4687 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/16*8\/(-9)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 + (-78)\/(-12). Suppose k = 3*k - i. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, p: 1, a: 1, i: 1}. What is prob of picking 1 k and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 2*y + 5. Let i be b(-2). Let t(p) be the second derivative of -p + 0 - 1\/3*p**4 - 1\/20*p**i + p**3 - 1\/2*p**2. Determine t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 21*w + 48. Let y be t(-20). Let i(o) = 8*o**3 + o**2 - o. Let b be i(1). Let k be 253 - 4*2\/b. What is the highest common divisor of k and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -11*g + 5. Let w(u) = -u + 7. Let b be w(g). What are the prime factors of b\/5 - (-2 - 489\/15)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11923 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 41 - -230 - 144?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2508500 divided by 6\nAnswer: 1254250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29845621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:47 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 965*z**2.\nAnswer: 965*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8499 is divided by 1214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.94 (c) -1\/2 (d) 2 (e) -0.05 (f) 0.025 (g) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*l**4*x**2 + 6*i*l**3*x**3 - 2*i*l*x**3 - i*x**3 + 3*l*x**2 wrt l?\nAnswer: -12*i*l**2*x**2 + 36*i*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -8 (b) 1\/3 (c) 1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m**2 - m. Let t(h) = -7*h**3 + 5*h**2 + 5*h. Suppose -4 = -3*i + 2. Let u(c) = -3 - i*c + 10 + 5. Let s be u(5). Determine s*t(p) + 10*n(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110353576.\nAnswer: 2, 13794197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**2 + h + 2. Let d be x(-1). Let j(i) = -3*i - 10. Let g be j(-7). Solve m + d = 4*n - 0*m, n = -3*m + g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -9. Calculate the greatest common divisor of y and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.07 (b) -2\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 83.8 and 0.9.\nAnswer: 75.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*t + 32*t - 8. Suppose 0 = -5*s - t + 17. Solve s*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 1. Let g(w) = 10*w**2 - w + 4. Give -g(u) + 6*j(u).\nAnswer: -4*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - a**2 - 18*a + 50. Let j be s(2). Solve j*r - 6 = 28*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 7*c**2 + 7*c - 7. Calculate v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2294790 is divided by 18965?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6558 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -26, -89, -188, -329, -518, -761, -1064?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/6 + 3\/2. Let d = -8 - -4. Which is the second biggest value? (a) g (b) 3\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178965 and 3142800?\nAnswer: 4365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**2\/2 + 5*l + 58. Let g(j) = -2*j. What is y(g(f))?\nAnswer: 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 - 3870*i**2 - 622088*i + 625964. Let k(n) = 9*n**3 + 5805*n**2 + 933131*n - 938945. Let x(v) = 5*k(v) + 8*s(v). Factor x(m).\nAnswer: -3*(m - 1)*(m + 323)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = 0, -3*s + 0 + 3 = 5*o. What are the prime factors of (o - 12)*(-4 + 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9033*j - 890*j - 7849*j - 1652796 for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16001, 32067, 48257, 64631, 81249, 98171, 115457, 133167?\nAnswer: 151361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 + 17 + -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(1\/18)\/p*p*p*p**28*p**(-23)*p**(1\/14) assuming p is positive.\nAnswer: p**(449\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17606 - 17585. Solve -m*v + 34 - 13 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 times 0.456?\nAnswer: -25.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-114*(-594)\/4104).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 533 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19170 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 9*m + 7. Let f be n(-3). Let d(t) = -t - 8. Let c be d(f). Suppose -5*o + 2*b = -1115, 2*o + c*b - 549 = -103. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5684 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: Let g be 76\/28 + 12\/42. Suppose 3*p - 4*s = -0*s + 57, p - g*s - 24 = 0. What is the greatest common divisor of 75 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 748 and 1292612?\nAnswer: 14218732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*c**2 - 23*c + 23*c)*(1973 - 1973 + c**3 + 9*c - 45*c**2).\nAnswer: 21*c**5 - 945*c**4 + 189*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31871)\/314*24\/(-116)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*k - 324 - 19311 = -332*k - 325*k for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 5 = 37*r. Sort -1, -4, r, -2 in ascending order.\nAnswer: -4, -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4938*x + 100*x**2 + 4938*x)*(2*x**2 - 3*x**2 + 3*x**2)*(-1 - 2 + 0).\nAnswer: -600*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-14))\/(3\/(-21)). Let n be 500\/40 + k\/(-4). Is (-5 + 3)*n\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - (-4016)\/72. Let f = 60 - r. Let t(b) = b**2 + 4 + 7 - f. Let n(a) = a**2. Calculate n(t(c)).\nAnswer: c**4 + 14*c**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 528871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 309, 437, 529, 573, 557?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6290 and 81430.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(3*(-4)\/36). Suppose 18 - m = 5*v. Solve v*p = p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 2*d**3 + d**3 + 10*d**3 + 994.\nAnswer: 9*d**3 + 2*d + 994","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -205, -263, -273, -211, -53, 225?\n\"Answer: 4*p**3 - 86*p - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 33. Let u be b(13). Suppose 3 = 4*z - 5*l - u, -4*z + 2*l = -14. Suppose -4*v = -z*v - 298. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12*-5*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 11*k**2 - 17*k**2.\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 18*i**2 - 15*i + 8. Give c(19).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 15118901, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2931 or -8791\/3?\nAnswer: -2931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -283 + 286. Solve 1 = 4*u - 4*a - 3, n*u = 2*a + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 22*m**2 + 62*m - 419. Let n be g(21). Solve -123*f = -73 + n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from ygggftbgyg?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7137662*a**3 - 2761529?\nAnswer: -21412986*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p - 7*p + 5*p - 82 - 325 - p in the form r*p + l and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 37*a**2 - 214*a - 21. Give h(30).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4054100\nAnswer: 4054100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-400)\/(-990) + (-18)\/99. Determine k, given that -2\/9*k**2 - d*k**4 + 2\/3*k**3 - 2\/3*k + 4\/9 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1001 divided by 5.\nAnswer: -1001\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = 4*y + 57. Suppose 3*j - y + 11 = 0. Calculate the greatest common factor of 74 and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.20368 + -3.\nAnswer: -2.79632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 166794\/11 > 15163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 574, 2278, 5120, 9100, 14218, 20474?\nAnswer: 27868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3194 - -0.1072. Let n = 0.0266 - g. Which is the third biggest value? (a) 0.3 (b) -3\/10 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 13\/9, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 147, 351, 639, 1011?\n\"Answer: 42*s**2 - 6*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 15 = 2*v. Let l = -6 - v. Let k(p) = p**3 - p**2 + p - 1. Let c(d) = -7*d**3 + 4*d**2 - 4*d + 5. Determine l*c(b) - 5*k(b).\nAnswer: 2*b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11\/30, 0, -94\/7619.\nAnswer: -5, -94\/7619, 0, 11\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 2*m**2 - 2*m**2 + (-m - 1 + 1)*(-119663*m - 11469*m + 3194*m) to the form r*m + g + v*m**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -14*x**3 + 3*x + 1. Let b(w) = 2309 + 18*w**3 + 7*w**3 - 2311 - 5*w + 3*w**3. Give -3*b(t) - 5*p(t).\nAnswer: -14*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 3*d**2 - 5*d - 10. Let k be t(-3). Let z be (k + (-5)\/5)*2\/4. Let v(r) = -8*r**2 - 3 + 2 - 5*r**z + 12*r**2. Give v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1024 and 4576.\nAnswer: 146432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 11*l + 1. Let y(x) = -25*x - 6. Let d be y(-3). Suppose 5*w - 29 = -d. Is f(w) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 16. Let y = -7 - c. Let p = -605.8 + 606. Sort p, -2\/15, y.\nAnswer: -2\/15, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (5 - -8 - 8) - 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/6*(-1104)\/230)\/((-2)\/(-8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3 - 11 = -r, m - 3*r = -2. Let h(u) = -7*u. Let i(x) = -123*x - 27. Let q(n) = m*i(n) + 14*h(n). Find the first derivative of q(f) wrt f.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.39 + -2.29. Let h = o - 24.1112. What is h rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-35) - 2\/5. Let m = -22 + 19. Which is the second smallest value? (a) -0.2 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(275) + 0 + -2) + 5)**2.\nAnswer: 200*sqrt(11) + 4425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*4 + 1 + 2. Let y be (-1 - -13) + (-149 - -143). Calculate the greatest common factor of y and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qseqeqssqqsq. What is prob of sequence eqs?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 5, m: 8, c: 4}. What is prob of sequence xm?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 34*j**2 - j + 107. Let m be g(-17). What is the greatest common divisor of 69 and m?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41255.\nAnswer: 5, 37, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2059, -2362, -2807, -3394, -4123, -4994?\n\"Answer: -71*g**2 - 90*g - 1898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103906891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 40*d**3 - 75*d**2 + 20*d + 100.\nAnswer: -5*(d - 1)*(d + 2)**2*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - a = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 24011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * -1475.\nAnswer: -33925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -50234*h**3 + 5*h**2 - 10*h - 32. Let c be b(-12). Let k = 195919241776\/2257 - c. Let g = k + 70\/37. Is 0 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.94 + 8.94. Which is the nearest to -0.1? (a) -1 (b) 3\/8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3085 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.67 + 18.67. Which is the fourth biggest value? (a) -1\/4 (b) 4 (c) -2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1\/5 (b) 0.14 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, f: 3, e: 5, r: 2, g: 1}. What is prob of sequence effp?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 10, 87295?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 1198 = -1318 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (0 - (7 + (6 - 26) + 11))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/(-208))\/((-21)\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -402*j + 403*j. Solve -4*q = 3*l, -15*q - 2*l = -j*q - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1845\/(-3321))\/(5\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 25 and 423\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -484, -315, 514, 2009, 4176, 7021, 10550, 14769?\n\"Answer: q**3 + 324*q**2 - 810*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 - n + 24. Let i be w(0). Suppose 49 = b - i. Suppose b = 4*u - 39. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r + 3 + 2*r**2 - 4 - 3*r**2 + 6. Let i(q) = 2*q - 2. Let c(o) = 5*i(o) + 2*k(o). Let j(w) = w**2. Determine c(j(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = -5*o + 4, -5*o + q + 17 = 0. Solve -2*v - 8 = 5*c - 6*c, 3*c - o = -4*v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 8*z - 45. Let f be c(-12). Suppose -7*y = 3*v - f*y - 367, y = -v + 124. Which is greater: v or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y**(-14)\/y)*y)*y*y)\/(y**(1\/2)*y))\/(y**10\/y*y*y**7) assuming y is positive.\nAnswer: y**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 2*q**3 - 2*q**2 + (-9 - 5*q + 9)*(-6*q**2 + 2*q**2 + 2*q**2) + 3*q**2 - 3*q**2 - q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23983*i*u**2 + i*u*z + 183*i*z - 17*i wrt u?\nAnswer: 47966*i*u + i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43112, 43452, 43792?\nAnswer: 44132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2571176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 3, 5, 1, 492 in decreasing order.\nAnswer: 492, 5, 3, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -33 - (2 - 6 - -3). Let o = 36 + w. Solve -5*z + 23 = t + 5, o*t - 5*z = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 - 2 + 5 - w - 5*w.\nAnswer: -6*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -531?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 266\/(-2) + 1. Let n be 2\/(-8) + z\/(-16). Suppose 2*a = -4*y + n, 0*y = 5*a - 3*y + 19. Are a and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 24*x - 3. What are the prime factors of s(3)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.66 - -0.06. Let s = -42915 - -42902. What is the biggest value in 1\/3, s, -4, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 410174164?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (7 + -9)) + -3 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2. Let s = -10 - -8. Let g be 1\/(-3) - (-10)\/3. Let z(p) = -6*p - 2. Let r(n) = -7*n - 3. Let d(x) = g*z(x) + s*r(x). Give d(c(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -573 or -574?\nAnswer: -574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 80806 times 0.0291\nAnswer: 2351.4546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {n: 2, r: 4, p: 8, c: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -11) + (8 - 10). Suppose -p = 3*p - w. Let a(k) = -94*k + p*k**2 + 94*k. Let d(l) = -l**2. Calculate d(a(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.8 - -39. Let z = -2.3 + p. Let r = 1.89999955 - z. What is r rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -g - 23, 7*g = 2*k + 3*k + 39 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13764 bigger than -13761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 46 = 54. Let n(j) = 4*j**3 - j - 5*j**3 - 19 + x. Let h(q) = 3*q**3 - 2*q**2 + 5*q - 4. Calculate h(m) + 5*n(m).\nAnswer: -2*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42.21 - 42. Let q = o + -0.7. Let w = q - -0.49011. What is w rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, p: 2, n: 5}. What is prob of picking 1 p, 1 n, and 1 a?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -3)*-5.\nAnswer: -50*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/548976 and 25\/4416.\nAnswer: 50505792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(2736) - (sqrt(2736) + 0))*3 + (sqrt(2736)*-2 - sqrt(2736)) + -2)*-3 + 5)**2.\nAnswer: 2376*sqrt(19) + 221740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 16) to base 6.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - i + 15, -j + 27*i - 10 = 23*i for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3411, 72, -0.4 in decreasing order.\nAnswer: 72, -0.4, -3411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41031910 to the power of 1\/2, to the nearest integer?\nAnswer: 6406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7016 - 5866. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.064267 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.36 and -1.8.\nAnswer: -2.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*t = 18, -10 = 4*c - c - 5*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1751 - 42*r + 1739 + 21*r - 29*r + (r - 4*r + r)*(-1 - 1 + 4).\nAnswer: -54*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31287, -31292, -31297, -31302, -31307?\nAnswer: -31312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 4*q + 6. Suppose 5*s - 10 = 2*x, 3*s - 6 = -8*x + 4*x. Suppose x = -3*z - 3 + 24. List the prime factors of o(z).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36202 - -36205. What is the fourth biggest value in z, -0.5, 0.6, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 3*a + 19. Determine w(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1 - 4 + 3*o**3 - o + o**2 + 6 - 4 + o**3. Let j(q) = -q**3 + 1. Give -2*h(t) - 6*j(t).\nAnswer: -2*t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028113716 take away -7?\nAnswer: -1028113709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 622*b**2 + 63232*b + 2105432.\nAnswer: 2*(b + 82)*(b + 98)*(b + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883 - 941 = -12*b - 2*x, -4*b - 4*x = -56 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/12 + 5*o**4\/24 - 5*o**3 + 7*o**2. Determine w, given that f(w) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j*j*j*(j\/((j\/j**(2\/15))\/j))\/j*j)\/j)*j*j)\/j)\/j*j\/j**18 assuming j is positive.\nAnswer: j**(-272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -253*g*i*o**3 - 2*g*i*o + g*o**2 - 21*g*o + 397385*i*o**3 - 35*i*o**2 - 13208*i*o wrt o.\nAnswer: -1518*g*i + 2384310*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1411584141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -5.5143\nAnswer: 22.0572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/10 - 15*c**4\/4 + 25*c**3\/6 - 21*c**2 + 2*c - 53. Let l be u(22). What is the highest common divisor of l and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 96, 374, 836, 1482, 2312, 3326?\n\"Answer: 92*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603, -4792, -16159, -38292, -74779, -129208, -205167?\nAnswer: -306244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23540056?\nAnswer: 2, 53, 59, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**6\/30 + 2*j**5\/5 - 3*j**4\/2 - 5*j**2 - 15. Let m(q) be the second derivative of c(q). Factor m(i).\nAnswer: -4*i*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 > 96106\/4445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 24, 2\/23, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 5:01 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89 and -20?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5368*y + 146 - 10705*y + 5349*y. Calculate s(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i**2 - 3*i**2 + 2*i**4)*(-37 + 29 + 67) as f*i**3 + o*i**2 + w*i + p + d*i**4 and give d.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.36 + -0.06. Suppose 3*q = h + 17, 0*q + 4*h = -4*q - 4. Suppose n - 18 = q*j, -3*j - 2*n + 4 = 12. What is the nearest to -0.1 in j, k, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970797071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - w**3 - w**3 + 2 + (w + 0*w - 2*w)*(-4*w + 4*w + w**2).\nAnswer: -3*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -7. Let u(i) = i**3 - 6. Let f(v) = -5 + 67*v**2 - 67*v**2 + v**3. Let n = -12 - -18. Give n*f(d) + s*u(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 - ((-13)\/2 - -4). Factor -2*n + n**3 + 4*n**4 - f*n**4 + 31*n**2 + n - 32*n**2.\nAnswer: n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -524 (base 6) to base 13\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 861 and 241.1?\nAnswer: 207587.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/211 + -214\/633. Let y = 4079.7 - 4079. What is the nearest to -2 in 2\/7, y, m, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -12*f + 15*f. Let g = f - 22\/3. Is 0 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(9*x**2 - 4*x**2 + 0*x**2) + (2*x - 4*x + 3*x)*(9*x - 33 + 33).\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-110))\/(63\/105).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17046*s = -134203 + 2179723 for s.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18 - (-1378)\/117. Solve -9*c - 9 = -m*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 602695 and 10?\nAnswer: 1205390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1723 - 248. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*y - 26 + 26)*((-y + 0*y + 3*y)*(1 - 2 + 3) - y - 2*y + 4*y).\nAnswer: 65*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s - 2*s + 6*s - 27*s + 2 - 37*s - 2*s.\nAnswer: -87*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = 4*b, 0 = -0*b + b + 2. Calculate the lowest common multiple of 1 and (-21)\/(-2) - q\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 13*h + 24*h - 12*h)*(-h**2 + h**2 - 2*h**3) + h**4 + 3*h**3 - 3*h**3 + (0 + 0 + h**4)*(-3 + 0 + 4) + h**3 - h**3 - h**4.\nAnswer: 3*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 382, -1, 3, 1 in descending order.\nAnswer: 382, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from zueneeerreen?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-28)*3032\/(-1895).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 473\/6. Find the common denominator of 0 + (37 - 0) - -4 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1879*72\/(-252)*((-18)\/(-4))\/3. Which is smaller: x or -805?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 5*i + 17. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a**3 + 10*a**3 + 3*a**3 - 39*a**3 - 3*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 + 68 + -16 - (-14 + 0)) + 58 + -7.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 16. Solve 0*c - 8 = 4*u + 4*c, v = -5*c + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 517475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 39. Let v be 2 + (-6)\/l + (-465)\/(-30). Which is smaller: 19 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -20 + 0*i + i + 2*i + 8*i. Let v be u(3). Suppose 2*c - 53 - v = 0. What is the greatest common factor of c and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*x - 66611 - 52637 = 0, -x + 71548 = 3*p. Calculate the remainder when p is divided by 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 44. Let p = 101 - 38. Calculate the remainder when p is divided by 3*4\/(-18)*78\/z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - (-84)\/15. Suppose -7*r + 54 = -4*r. Find the third derivative of -2*w**l - r + 18 + 3*w**2 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108327993 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-234)\/45)\/(4\/(-10)). Let o be v\/5 - -1*(-15)\/25. Solve -1 = -3*s + o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014101133 to seven dps.\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = -3*q + 21, -g + q = -1. Suppose -g = -4*z + 22. What is the lowest common multiple of 3 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -128*i - 252. Let r be j(-2). Solve 0 = -r*q + 24*q + 100 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 980167.2 centuries?\nAnswer: 9801672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**2\/2 + r - 1114. Let g(i) = -6*i**2 + 33*i + 33. Calculate 66*b(h) - 2*g(h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 3*n - 129, 5403 = -5*n + 5388 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 - 741333288*m\/7 - 45797920324740912\/7.\nAnswer: -3*(m + 123555548)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*w - 689*w - 694*w - 590*w + 2664*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-56))\/(((-1032)\/430)\/((-28)\/10))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 17*f + 8*f**2 + 6*f**2 - 15*f**2 - 53 - 49*f. What is the remainder when z(-21) is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - q + 1. Let o(t) = -195*t**2 + 193*t**2 + 6*t**3 + t**3 - 2*t**3 - t. Calculate o(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 + 14*k**2 - 14*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19061956*a**2 + 113516*a - 169 = 0. Calculate a.\nAnswer: 13\/4366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-35)\/3 - ((-80)\/30 + 2)) + 6. Let s(q) = q**3 + 8*q**2 + 9*q - 5. Determine s(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfkmhfcmr. What is prob of sequence fh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2264260 (base 7) to base 13\nAnswer: 9c850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114998, -114873, -114724, -114545, -114330, -114073?\nAnswer: -113768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgz when three letters picked without replacement from izziizgzggi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 1. Let c = x - 7. What is the closest to -0.1 in -2\/3, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*t - 2323 = -56430, 0 = g - 5*t - 27046. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/30 + b**4\/3 - 6*b**2. Find t such that q(t) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -91920538.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (3 + -1 + 0). Suppose -3*v + 0*v - l*c + 186 = 0, -322 = -5*v + c. What is the remainder when v is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00064125 rounded to five dps?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*g - 61 = g, 0 = 5*t - 5*g - 65. Let s be (-32)\/t*-9 + 1. Solve 0 = r + 3*r - h - 5, 5*h + s = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -646 + 653. Let u(t) = -2*t**2 - 11*t - 7. Let q(x) = x**2 + 5*x + 3. What is l*q(h) + 3*u(h)?\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*d - 3*q, q - 36 = -5*d + 4*q. Suppose d - 18 = -4*x. Suppose -14 = -x*y + 1. Solve -30 = -4*k - k + y*r, 0 = 3*r + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 12*t - 3*t**2 - 11 + 0 - 2.\nAnswer: -3*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 957, -494, 37, 4 in increasing order.\nAnswer: -494, 4, 37, 957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-10)\/v)\/v*v*v**(-9)*v**(3\/5)\/(v\/((v*v*(v*v**30*v)\/v)\/v)))**38 assuming v is positive.\nAnswer: v**(2204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 136*c + 138*c + 156, 2*c = -4*l + 634. What is the greatest common divisor of 8 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7188*k*u**4 - 49*k*u**3 + 2*k*u**2 - 3*k - 46675*u**2 wrt u.\nAnswer: -172512*k*u - 294*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -10. Let d(p) = p - 1. Let f be d(x). Solve -4*j = h + 17, 5*h - 20 = j - f*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8)*6\/(-4). Let a = 2058925 + -2058923. Let -1\/4 + 5\/8*y**a - g*y = 0. What is y?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(-1\/15)*l)\/l))\/((l*l**(2\/55))\/l))\/(l**18*l*((l*(l\/(l\/((l**(14\/9)*l)\/l)))\/l*l)\/l*l)\/l) assuming l is positive.\nAnswer: l**(-1933\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7)*(-35)\/(-45). Sort p, 3\/4, -3 in decreasing order.\nAnswer: 3\/4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**3 - 7*p**2 - 4*p - 3. Let i be h(-3). Let s = -212 - i. Suppose 2*l - 117 = 7. What is the highest common divisor of s and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111 (base 2) in base 7?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*q = 4*q + 9740, 2*x = -2*q - 6504. What is the hundreds digit of ((-170)\/(-30))\/(-17) + x\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/19 + 200*c\/19 + 202\/19.\nAnswer: -2*(c - 101)*(c + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.151949231 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 240, 1988, 6736, 15984, 31232?\n\"Answer: 250*a**3 - 2*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s - 31. Let o be x(11). Suppose -o*a = 5*h - 5, 5*a - 29 = h + 3*h. Solve -4*p + 4*c - 28 = 0, c - 8 = a*p + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -33*t**2 - 4*t + 47. Let j be d(6). Let a = -832 - j. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-7)*n**(-6\/7)*n)**(3\/41)*((n*n**(-2))**(-3\/22))**(-12\/7) assuming n is positive.\nAnswer: n**(1143\/3157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -1a187?\nAnswer: -1a185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7431*k**4 + 16*k - 42137 wrt k?\nAnswer: 29724*k**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*g + 5 = 234*g, -7 = -4*h + 3*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19188113411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172403 divided by 2.\nAnswer: -172403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -175116480 divided by -48576\nAnswer: 3605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 62799866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2155254 = 15*x + 174246. Round x to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + r**2 - r. Let g(x) = -6*x**3 - x**2 + 6*x. Let p(z) = f(z) + g(z). Let p(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26765673 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6660, 18783, 38988, 67275, 103644, 148095?\n\"Answer: 4041*d**2 + 2619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**3 + 8*f**2 - 7 - 7*f**2 - 4*f**2. What is the second derivative of x(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*z + 4*p - 20, -7576*z - 45 = -7579*z + 3*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 48 - 90)*(-3*k**5 - k + k).\nAnswer: 189*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 - (0 + 5 + -9 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -882 by 49.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260 + 945 = 23*g - 2*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*z - 23*z = -1144660 + 20830. What are the prime factors of z?\nAnswer: 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205571.97 + -0.0526?\nAnswer: -205572.0226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33043 + -43?\nAnswer: -33116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -813872 divided by 50867?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnkq when four letters picked without replacement from tqotqtttlktlkknno.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21404926397 take away 919.4?\nAnswer: 21404925477.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859 is divided by 150.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(1331) - sqrt(1331)*-1) + -2)*2 + (0 + sqrt(1331) + -5 + sqrt(1331) - ((sqrt(1331) + 2*sqrt(1331) - sqrt(1331)) + -4)) + 4))**2.\nAnswer: -1408*sqrt(11) + 340752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y - 11. Let b(i) = -7*i - 23. Let p(m) = -6*b(m) + 13*z(m). Let s(t) = -7*t + 9. Let j = -155112 + 155117. What is j*p(o) + 2*s(o)?\nAnswer: o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 9, r: 2, f: 4}. What is prob of sequence cs?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**4 - 2994*w**3 + 41523*w**2 - 192180*w + 295200 = 0.\nAnswer: 4, 5, 984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -10*d - 254. Determine z(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26727879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 117*h + 2100. What is v(-22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 126576*k**3 + 10368976*k**2 + 201746496*k - 445981536 = 0 for k.\nAnswer: -63206, -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*t = -98, 0*t - 32 = -2*o + t. Let h be 24\/15*55\/22. Suppose z = h*r + 20, -r = 3*z - 0*r - 112. What is the highest common factor of z and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -68241 (b) -0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-5))\/(16\/120))\/((-1045)\/(-220)).\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55809.\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 14 + 0)*(19 - 19 + 2*z)*(2*z**4 + z**4 - z**4).\nAnswer: -56*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 - 21*l**2 - 16*l - 45. Let b(g) = g**3 - 2*g**2 - g - 7. Let s(i) = 5*b(i) - y(i). What is s(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 6*h**2 - 2*h - 1. What is q(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.1309 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/60 - (-902)\/15. Let c = w - 58. Find the common denominator of 137\/36 and 1341\/(-216) - -2*c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754393559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -833, -1684, -2545, -3422, -4321?\n\"Answer: -p**3 + p**2 - 847*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 911\/(-1822)*(-5)\/((-15)\/(-21))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -29 (c) 1.4 (d) 31 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 3:22 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088105 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14815 or 0?\nAnswer: 14815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide (-32)\/((-960)\/1439590) - 10\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429468 is divided by 2892?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*v - 4*n, -2*v + 14*n - 8 = 10*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3976 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13794570 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**2 - 140*z + 135 = 0.\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -995*s - 1042*s + 2003*s + 2*s**3 + 2 in the form n*s + v*s**3 + y*s**2 + d and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3 (c) 1068 (d) 4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.19? (a) 5\/6 (b) 0.5 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237010177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -37*m + 5. Let n(p) = -3*p**2 + 5*p - 7. Let x be n(3). Let k = x + 16. List the prime factors of y(k).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 1, 10, 0.4 in descending order.\nAnswer: 10, 1, 0.4, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2 + 11. Let g(n) = n**2 - 1. Suppose 8 = 4*u, -2*u - 9 = 2*j - 25. Calculate j*g(h) + s(h).\nAnswer: -2*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.58 + 3.25. Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + 0 + 7 + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3810 + 11182. What are the prime factors of h?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) -3\/164 (c) -1\/3 (d) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5546.332mm?\nAnswer: 5.546332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(3 - 2)\/(-12). Suppose 43*q = 46*q + 12, -q = -6*n + 4. What is the third biggest value in i, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = l - 3*l, -5*l - 5 = 0. Suppose -4*x + 2*s + s = 2591, -2*x + h*s = 1294. What is x rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56888, -59251, -63198, -68729, -75844?\n\"Answer: -792*r**2 + 13*r - 56109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/8, -0.11, -2\/7 in descending order.\nAnswer: 3\/8, -0.11, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**2 - 17*l - 11. Let o(p) = -4*p**2 - 11*p - 7. Give -5*g(d) + 8*o(d).\nAnswer: -2*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -554 + -53?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101290 is divided by 50634.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6265*a**3 + 6262*a**3 - 12529*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61.1 + 61. Let v = 5 - 5.4. Which is the nearest to h? (a) 5 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2367)\/(-36) + (-6)\/8 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1788\/15 + (-4)\/(-40)*-2. Suppose 102 = 3*o - o - 3*x, 3*o + 4*x = k. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -407 and -87.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**3\/3 + 12. Let j(x) = 7*x. What is w(j(h))?\nAnswer: 49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(55)\/(sqrt(176) + sqrt(11)) + 4 - (sqrt(405) + 2 + -3 + -2 + 5).\nAnswer: -44*sqrt(5)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-6)\/r))\/r*(r\/r**(-8)*r)\/r)**(-5\/2) assuming r is positive.\nAnswer: r**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/30 + (-98)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.36 - -442.64. Let d = b - 442.9817. What is d rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403418842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h**2. Let n(a) = a + 3. Let o(i) = i + 4. Let g(l) = 4*n(l) - 3*o(l). Calculate g(j(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4629, 9375, 14243, 19233?\nAnswer: 24345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 3*p - 3*h - 12, 2*h + 12 = 4*p. Suppose 5*x = p*x - 4170000. What is x rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.005, 0.02, 3, 0.08, -2\/9 in increasing order.\nAnswer: -2\/9, -0.005, 0.02, 0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37848*n - 5376 = 37976*n for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1151902, -1151901, -1151902, -1151905?\n\"Answer: -d**2 + 4*d - 1151905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25696 times 3\nAnswer: -77088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39652229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030054 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -515 + 409. Let v = s + 112. Solve -4*k - 2*k = v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83528 and 13396?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from fbffbwffffbffbbwb.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1898, -1897, -1896, -1895, -1894, -1893?\n\"Answer: o - 1899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 5495*j + 99072. Calculate b(18).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 580920*t**5 + 3616*t + 54 wrt t?\nAnswer: 11618400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**2 + 7*f - 7. What is t(3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 10:02 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(3000\/12)*150\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22303 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*i - 18 + 4, 3 = -3*u - i. Let c(w) = -w + 1. Calculate c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Suppose q = -0*c + 2*c - 8, y*q + 10 = 0. Suppose c*j = 27 + 6. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -56, 18, 0, 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -11*j**3 + j + 1. Is o(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285\/9*29*(-234)\/5655.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103569 and 10249697.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2812293869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -125, -127, -129, -131, -133, -135?\n\"Answer: -2*f - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/7)\/((-20)\/28 + 2). What is the nearest to 1 in f, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9776 and 1222?\nAnswer: 9776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)\/(b\/(b*b*b**(-5)*b*b))*(b**(1\/3)\/b)**42 assuming b is positive.\nAnswer: b**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15576 is divided by 563.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.64 + -4.\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 16. Calculate the highest common divisor of j and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -74*h**2 + 3*h - 5. Let x(q) = q**2 + 3*q - 3. Let j(k) = s(k) - x(k). Let f(d) = -3*d**2. Determine j(f(r)).\nAnswer: -675*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/30*(-10)\/4. Let f(m) = 6*m**2 + 2*m + 2. Let p(u) = 7*u**2 + 3*u + 3. Determine c*f(q) + 2*p(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - s + 1. Suppose 2*f - 12 = -2*f. Suppose 5 = 2*k + 3*t + f, -5*k = -2*t - 24. Let p(n) = n - 1. Determine k*p(d) + 4*b(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 161636445 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 7*a - 4. Suppose 3*j - 12 = s, -5*j = -2*s + s - 18. Suppose -2*y = 2*p + 4, j*y + 10*p - 14*p = -34. What is u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 + 4*i**2 + 2. Let r(p) = -5*p**3 + 3*p**2 + 1. Let n(a) = 2*h(a) - 3*r(a). Let d be n(1). Sort -2, -14, 4, d in increasing order.\nAnswer: -14, -2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1074702 and 45674835?\nAnswer: 91349670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {w: 3, t: 1, q: 5, e: 10, z: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-16))\/((3\/4)\/3). Which is smaller: t or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.4 and 1.707.\nAnswer: 10.9248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -32.1?\nAnswer: -32.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 60594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 29689*w**2 + 35*w + 22. Let h(a) = -2698*a**2 - 3*a - 2. Calculate 23*h(i) + 2*m(i).\nAnswer: -2676*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-16) - 2\/8. Let o(f) = f**3 - 1. Let t be o(2). Let s(a) = 2*a - t*a - a**2 + 3*a. Calculate s(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t + 4. Let w(j) = 4*j**2 + 3*j + 0*j - j**3 - 3 + 3*j. Is w(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -175?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 (base 12) in base 2?\nAnswer: -110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 40 (c) -1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -48777.1 to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31ea0 (base 16) in base 11?\nAnswer: -12a672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92802 - 13758 = 5328*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-10) + 3)*(-2642961)\/(-1183896). Let q = -2\/11745 + m. Calculate the common denominator of -83\/14 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3. Let x(t) = 8. Let c(g) = 11*j(g) - 4*x(g). Let s(n) = 3*n. Let f(m) = 2*c(m) - s(m). Let y = 2 + 0. Let o(k) = k - 1. Calculate y*o(r) + f(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by ((-2)\/6)\/((-1)\/33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:23 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 245, 3, 0.012, -11, 4, -1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1, 2 in decreasing order.\nAnswer: 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1131257 and 437179.\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 5*m + 4. Let q(p) = -p. Let x(d) = a(d) + 6*q(d). Suppose -3*g + g = 0. Determine x(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 9.\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.0440261ms?\nAnswer: 0.00000029000725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1780 = -s - 1777. Solve -3*z + s*t = 8*t - 14, 0 = 4*z + 4*t - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 2578*m.\nAnswer: -2*m*(m - 6445)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 1. Let p be (-403998)\/o - (-11)\/22. Round p to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*1 + ((sqrt(50)*-1 + sqrt(2))**2 - sqrt(2)) + sqrt(2).\nAnswer: 3*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + 0.46. Suppose 3 = -4*w - 5. What is the third smallest value in -0.1, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6792 is divided by 1327.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - -2.52. Let t = u - 2.41. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 511250 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594637 is divided by 49545.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 110. Let n be ((-70)\/(-21) - 2)*z\/(-4). Put -1, n, 5, 0 in descending order.\nAnswer: 5, n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + 2 + 14 + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14669*p + 1161. Is w(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237176.\nAnswer: 2, 23, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4 - 40. What is the remainder when 41*(-3 + 2 - -2) is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224.81 + 226. Let d = -1.69 + i. Which is the third smallest value? (a) d (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**3)*(o*o\/(o*o*o\/(o\/o**(-1\/9))))\/o)\/(o**(-5)\/(o\/o**(1\/7)*o)) assuming o is positive.\nAnswer: o**(187\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1098*5.\nAnswer: 5490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/33))**(-8\/7)\/((w\/(w*w\/(w*w**(-10\/9))))\/(w\/(w*(w*w\/(w\/(w*w**(2\/29)*w))*w)\/w))))**(20\/3) assuming w is positive.\nAnswer: w**(-759100\/60291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**5 - 9*b**4 + 6*b**3 - 14*b**2 + 9*b + 3. Let q(z) = 2*z**5 + 8*z**4 - 7*z**3 + 13*z**2 - 8*z - 2. Let n(r) = -3*a(r) - 4*q(r). Factor n(s).\nAnswer: (s - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t + 37. Let r be j(0). Solve -4*m = -45 + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -69, 0, 44 in descending order.\nAnswer: 44, 4, 0, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*m, 5*l - 9*m + 11*m = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2711 + -2712. Sort 4, -54, h in descending order.\nAnswer: 4, h, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**(-46)\/(r*r**(1\/2)*(r**(-5)*r)\/r))**(1\/6) assuming r is positive.\nAnswer: r**(-269\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30292 - 30291. Let z = 511\/10 + -51. Let v be 14\/10 + (-2)\/2. Which is the nearest to y? (a) 3 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212 (base 5) to base 11.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 17*u + 6. Let g be f(15). Let d be ((-16)\/g)\/((-15)\/(-9)). Let p = 415 + -1669\/4. Is p at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-r + 5*r - 3*r + 2*r - r - 4*r + (-1 - 1 + 0)*(3*r - r - r) + 4*r - r - 5*r - 3*r + 3*r + r).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*q + 150*q + 132*q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 20. List the prime factors of 2\/6*(0 - n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 0*l + 3*l - 2 - 6*l - 47*l**4 + 12*l**4 in the form a*l**4 + k*l**2 + b*l + g + f*l**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 55 = u, 0 = -3*u - 6*g + 3*g - 129. What are the prime factors of 26\/(9\/(u\/(-10)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-75))\/(175183\/(-78675)).\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278030 - 278028. Factor -8\/7 + 20\/7*c**q - 12\/7*c.\nAnswer: 4*(c - 1)*(5*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14133 - 3302?\nAnswer: -22440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*u - 31*u - 15 + 15*u + 2*u - 2*u - 2*u + (5*u - 3*u + u)*(-2 + 4 - 1).\nAnswer: 4*u - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*((sqrt(245) + 2)*4)**2 + 5 + sqrt(245) + 1 + (-2 + sqrt(245)*-2 + sqrt(245))**2).\nAnswer: 7308*sqrt(5) + 64764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + 2. Suppose 3*s - 86 = -g. Let a = s + -17. Solve -2*i + 4 = -a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5463 - 5842 = -595*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0 + 4. Suppose a*g - 6 = 2. Suppose 8 = 5*w - g. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 + 369*n**2 + 131520*n - 264492 = 0.\nAnswer: -158, 2, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21032509.\nAnswer: 199, 105691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**8\/(k\/k**(1\/2)))\/(k**0*k**11))**(5\/6) assuming k is positive.\nAnswer: k**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 16?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*a - 2782*a - 95745 = 6463*a + 60319 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -245, 3, -82, -12 in increasing order.\nAnswer: -245, -82, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*i**2*p**2*t + 7*i**2*p**2 - i**2*t - 19*i*p**2*t + i*t + 513*p*t + 86*t wrt p?\nAnswer: -96*i**2*t + 14*i**2 - 38*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9508 - -9510. Suppose 0 = x - 4*b + 14, -2*x - 4*b + 5 + 15 = 0. Solve j*a + 0 = -5*v + 31, -x*a = -6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 62. Let q(l) = -132000*l. Calculate p(q(r)).\nAnswer: 17424000000*r**2 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 270, -92 in decreasing order.\nAnswer: 270, 39, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u = -69*u + 15680. Calculate the greatest common divisor of u and 5495.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/23*(-55)\/(-33))\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 8*w**2 + 4*w - 12. Let m be s(-7). Suppose -3*l - 21 = 4*t, -7*t + m = -4*t. Let h be (1 - 5)\/((-10)\/(-25)). Are h and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 e when three letters picked without replacement from {e: 1, u: 10, n: 7}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 27, 0.09, -1\/5 in descending order.\nAnswer: 27, 2\/5, 0.09, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 20 = 3*s - 36*l, -l + 4 = 0. Solve 5*v - 5*r = 35, s*r + 5*r + 15 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 8*r**2 + 3*r**2 + 9*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 46. Let d = y - -13.3. Which is the third biggest value? (a) 4 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113769 is divided by 113716?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6413.933 days to milliseconds.\nAnswer: 554163811200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, r: 4}. What is prob of picking 1 r and 2 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + 22\/60. Which is the smallest value? (a) -2\/5 (b) 3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -13. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19575 is divided by 204.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 489, 0, -3, 4, 608 in descending order.\nAnswer: 608, 489, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0791708 and 26439.85.\nAnswer: 26439.9291708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 28. Let r be f(-31). Suppose -r*t - 5*p = -79, -4*t - 4*p + 97 = p. Solve 20*j + 8 = t*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2614, 2615, 2616, 2617, 2618, 2619?\nAnswer: 2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 19*x**2 - 19*x - 27. Let w be z(-18). Let l be (62\/(-2))\/(w + 8). Find the second derivative of -l*o**3 + 25*o - 5*o**3 - 20*o wrt o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**3 + 18*j - 4. Let c(h) = 6*h**3 - 9*h + 2. What is -7*c(x) - 4*q(x)?\nAnswer: 2*x**3 - 9*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (833 - 868) + (-3 - -47)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-5.1665\nAnswer: -5.5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 + 2*x + 5. Let i(o) = -11*o**2 - 5*o - 11. Suppose 0 = 27*z - 21*z + 78. What is z*y(q) - 6*i(q)?\nAnswer: q**2 + 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**5 + 3665*u**4 + 475955*u**3 - 1460985*u**2 = 0.\nAnswer: -563, -173, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 164968367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/69723 and -11\/12688.\nAnswer: 14502384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 25*h - 7*h. Let v(y) = y**3 + y + 5. Let k be v(0). Sort 4, h, k in descending order.\nAnswer: k, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:33 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -192?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345158357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**43\/((u*(u*u\/(u\/u**(1\/11))*u)\/u)\/((u\/(u*u**(1\/7))*u)\/u)) assuming u is positive.\nAnswer: u**(9761\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -19*t**2. Let g(b) = 3*b + 80. Determine n(g(k)).\nAnswer: -171*k**2 - 9120*k - 121600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 34.9594.\nAnswer: -38.9594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/4 + 167*n**3 - 519*n + 282. What is the derivative of w(o) wrt o?\nAnswer: 3*o**2 + 1002*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 931.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/24 + 2*f**2. Let h be u(4). Calculate the common denominator of -47 and 78\/h - -2 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -22\/17, -1, -4\/3, 3 in descending order.\nAnswer: 3, -2\/11, -1, -22\/17, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 3*v - 3. Let r be i(3). Let y = -4\/49 + -37\/147. Which is the nearest to y? (a) 0.5 (b) r (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 < 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-1\/4))**5\/((v**(-11\/5)*v)\/(((v\/v**0)\/v)\/v)))**(-4) assuming v is positive.\nAnswer: v**(-229\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -13031172*i + 13031173*i - 8, 4 = -2*t - 2*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 33 - 7) + (17 - (14 + 1)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 1022524017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74317261?\nAnswer: 31, 1051, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 - 0.03. Which is the closest to 0.08? (a) 1\/5 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1543 - 1538. Sort n, 6, -0.2, 38 in descending order.\nAnswer: 38, 6, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86741947?\nAnswer: 23, 409, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-28)*m*m*(m**(-1\/18)*m)\/m*m*((m*m**(-19))\/m)**(-34) assuming m is positive.\nAnswer: m**(11177\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 + 2 - 22*r to d*r + y and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -88977731 + 43\nAnswer: -88977688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*x - 45*x - 38. Solve 0 = -4*z + 3*y + 14, 2 = x*z + y - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(-155)*40*(-1)\/170*5?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 397780.2 decades to months.\nAnswer: 47733624","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5))**41 assuming p is positive.\nAnswer: p**(-164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + ((-12)\/38 - (-77972)\/3838)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckkkcccc. Give prob of picking 3 k and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219272965.\nAnswer: 5, 43854593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7374*c**5 - 834*c**2 - 176 + c - 12*c + 8*c + 832*c**2 wrt c.\nAnswer: -442440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-7 - -1)) + -3 + -14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:06 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -x - 2*x. Let y be (-1)\/(-4) - 63\/28. Let q be (-57)\/y*2\/x. Solve -2*g - 2*o - 10 = -4*o, g = -5*o + q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Suppose i*u = -3*d + 7*d + 14, 3*d - 3*u = -6. Let s = 1264 - 1267. Is s equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -100, -350, -836, -1636, -2828, -4490, -6700?\n\"Answer: -13*j**3 - j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049220226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose v*u = 6*u - 12. Does 11 divide (1*u)\/((-6)\/(-66))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 12:16 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 4. Let w be z(2). List the prime factors of (-27604)\/(-52) + -3 - w\/(-26).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167367, -334748, -502129, -669510, -836891, -1004272?\nAnswer: -1171653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495715 is divided by 9843?\nAnswer: 3565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1260, -1259, -1258?\n\"Answer: z - 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 6\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 37 - 0 - (2 + -30 - (-104 + 79))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h**2 + 0*h**2 + 0*h**2 + (-2*h - 5*h + 6*h)*(62 - 62 + 18*h))*(3*h - h + 7*h) to w*h**3 + s + m*h**2 + z*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 37*l**2 - l + 1. Let a = 125 + -123. What is the units digit of v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/2, -0.2, 0.2, -14, 0.1.\nAnswer: -14, -0.2, -0.1, 0.1, 0.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**(-2\/77))**(-34) assuming r is positive.\nAnswer: r**(-204\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.03 (c) 15\/247 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 174 = 10. Suppose h = -3*h + y. Let q = h + -32. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20848*h = a + 20846*h - 20, 0 = -5*a - 5*h - 80 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 3*u**2 - 73*u - 7. Let f be m(10). Let k(v) = -45*v - 36. Is k(f) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3 = 4*k, -7 = -4*k - 5*s + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/6 - -8\/3. Let c = q + -1. Let p = -5 + 6. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:30 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -161, -157, -153, -149, -145?\n\"Answer: 4*a - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 37706?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 12*z**3 - 7*z**3 - 1 + 6*z**4 + 12*z - 7*z**3 - 6*z to k*z**3 + d + s*z + l*z**4 + u*z**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + 11. Suppose 2*v + v + 16 = -4*j, 2*j = -p*v + 6. Which is the smallest value? (a) 3 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/98)\/((2\/28)\/(39\/26))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 644\/(-161)*(-2)\/(-52).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.96000221 + 0.96. Round m to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 116 (b) -6\/5 (c) 0.5 (d) 2\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7135*d + 3188. Is m(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 351*m**8\/28 - 133*m**4\/12 - 2*m - 284. Find the third derivative of p(u) wrt u.\nAnswer: 84240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**3 + 2*f**3 - f**3)*(-16*f - 15*f + 32*f) + (-500*f + 500*f - 35*f**3)*(-f + 0*f + 0*f) as r*f + u*f**2 + z + w*f**3 + p*f**4 and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/(5\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*j + 100*j - 201*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v. Suppose 5*m - 10 + 45 = 35. Let f(d) be the second derivative of 0*d**2 + 0*d**3 - 1\/6*d**4 + m - 7*d. Determine b(f(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 3, a: 9, p: 2}. What is prob of sequence aaa?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838353?\nAnswer: 3, 279451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 170, 167, 158, 143?\n\"Answer: -3*y**2 + 6*y + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12674, 25364, 38054, 50744?\n\"Answer: 12690*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6956, 26456, 58968, 104498, 163052?\n\"Answer: s**3 + 6500*s**2 - 7*s + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 + 659*p**4\/3 - 49591*p**3\/3 + 1336565*p**2\/3 - 13155676*p\/3 + 21351308\/3 = 0. Calculate p.\nAnswer: 2, 22, 29, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -21)\/(13 + (-872)\/72)*3\/18?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoo when three letters picked without replacement from uuuuuuuuoouu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1082272 divided by 32\nAnswer: -33821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j. Let d(h) = -6*h**2 + 17*h + 17. Let l(c) = -2*c**2 + 6*c + 6. Let f(m) = -6*d(m) + 17*l(m). Give q(f(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 8*f**3 + 4*f**2 - 8*f = 0 for f.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15404 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 63 + 13 - 76.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -5, -17, -43, -89, -161, -265, -407?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9f5 + -409f?\nAnswer: -36aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 19. What is the smallest common multiple of r(5) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 350*x - 366*x + 240 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*u**2 - 7940*u + 398820 with respect to u.\nAnswer: 18*u - 7940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - p**2 - 9*p + 6. Give m(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i. Suppose 2*n - 5*n + 6 = 0. Let z(h) = -3*h**2 - h**n + 2*h**2 - h**2. Calculate z(q(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*m - 2141 = 123, -580 = -j + 3*m. What is the highest common factor of 1591 and j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-3)\/(-18))\/((-5)\/105). Sort b, 5, 1\/69 in descending order.\nAnswer: 5, 1\/69, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.04*-14026.1.\nAnswer: 393291.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {z: 1, g: 6, t: 2, p: 1, x: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(-7)*(f*f**3)\/f**(-5\/4) assuming f is positive.\nAnswer: f**(161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 30. Let t = -8 + -8. Let p be q(t). What is the derivative of -14 + 7*i**4 + 3 - p*i**4 wrt i?\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + i + 6, i = -3*c + 4*c - 3. Let k be 3 - c - (-2 + 4). Solve -a - 5 = 0, -2*z - a + 1 - 10 = k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11807428, 23614887, 35422360, 47229853, 59037372?\nAnswer: 70844923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 10) + 3 - (2 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (125\/5)\/5 - -2*1. Let n be -8 + q - (78\/(-14) - -2). Are n and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179154 is divided by 1736.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3591*r**3 - 855*r.\nAnswer: 21546*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*c - 12 + 25 - 16*c**2 - 11*c - 20 - 4*c in the form z*c + o + a*c**2 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 26. Let h = n - 9. Let v(m) = m**2 - 3*m + 3. Let r be v(h). Solve -3*z - 4 = -f + r, 0 = 3*z + 5*f - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -136, -204, -272, -340?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -463 + 2?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 minutes after 4:34 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -283 - -1985\/7. Let i = -1.1 - -1. What is the nearest to -2 in -1, q, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585.4021 rounded to the nearest 10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11370093 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5652248.\nAnswer: 2, 7, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/20*-2*(-56)\/126.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -333 + 337. Suppose 2*g - 6 = -0. Let q be g\/7 - (-120)\/(-84). What is the nearest to q in b, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w - 1 = 0. Suppose 3*n + 5 = -7. Let l be n\/(-10) - 24\/10. Sort w, 1, l in increasing order.\nAnswer: l, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1711 (base 14) to base 3.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-13)\/(52\/24))\/(-2). Suppose 2*t - 40 = -r*k, 0*t - t - 15 = -2*k. Let o(z) = -4*z. Calculate the least common multiple of k and o(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*q**2*u + 153*q**2 + 276*q*u + 49224101*u wrt q?\nAnswer: 10*q*u + 306*q + 276*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 53.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, w: 7, a: 1}. Give prob of sequence pwp.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -46*g. Let h(r) = -6560577*r**2. Determine o(h(i)).\nAnswer: 301786542*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/9))\/q**(-2))\/(q**(-5\/4))**28)**(-20) assuming q is positive.\nAnswer: q**(-6860\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 656 = 3*p, -2*p + u = -2*u - 437. Calculate the least common multiple of 403 and p.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 5*d = -b - 440, 0 = 3*b + d - 266. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03686 and 232.\nAnswer: 8.55152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 11. Let j = -29 + 33. Suppose v + 27 = j*v. What is the remainder when r is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -35, 0, -26, 1, 10, -2 in decreasing order.\nAnswer: 10, 6, 1, 0, -2, -26, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)\/j)\/((j**(-41)*j)\/j) assuming j is positive.\nAnswer: j**(201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*m**3 + 2*m**2 + 110*m?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 256, 975, 2112, 3667, 5640, 8031?\n\"Answer: 209*y**2 + 92*y - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 814 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 - -376*(-39)\/(-176).\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -7*k**6\/15 - k**3\/6 - 10*k. What is the second derivative of s(n) wrt n?\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. What is the remainder when (33\/(-99))\/(-2*(-2)\/(-60)) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 62.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1868091067860 and -0.059.\nAnswer: 1868091067859.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(209)\/sqrt(99)) + sqrt(19))**2*3 - (sqrt(19) + -1 + 2)*-5.\nAnswer: 5*sqrt(19) + 490\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-5)\/75). Suppose -n*y + 20 = -l, -y - 4*l - 28 = -11. Suppose y*i = -b - 0*i + 123, -i = 2. List the prime factors of b.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.528, 4, 1\/7?\nAnswer: 0.528","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 43. Let m be -4 + 2 + (-1 - 8). Let x = m + g. Calculate the greatest common factor of x and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {e: 1, x: 4, i: 1, c: 1, n: 11}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a - 39. Let m be j(0). Let r = 94 + m. What are the prime factors of r?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*z + 206*z + 32 = 0. Solve x - z*x + 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271300 a multiple of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p + 1. Let c(i) = 152597 + i**3 - 76301 + 7*i - 76294 + 5*i**2. Let b = -2 + 1. Let y(o) = b*c(o) - 2*f(o). Determine y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -268?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 3. Let o(l) = -4*l + 5. Let a be (12\/(-14))\/((-21)\/147). Suppose 0*h - 1 = -h. Suppose -h - a = r. Calculate r*m(i) + 4*o(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + -3 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2548990*f**3*x**2 - 34*f**3*x - 1028*f**3 - 7*f*x**2 - 18*x wrt x.\nAnswer: 5097980*f**3 - 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 879 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/4)\/t)\/t)**(-1\/97) assuming t is positive.\nAnswer: t**(1\/388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276202, 276178, 276154?\nAnswer: 276130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11059428 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20930 - -4461. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.654, -3\/2, 3, -1\/4, 1, 78?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*q = -2, 0 = -5*w + 2*w + 3*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tteettetsee. Give prob of sequence see.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/3 + 7*j**4\/2 - 13*j**3\/3 - 3*j**2\/2 + 3*j = 0 for j.\nAnswer: -3\/4, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*k - 25, 0*k - 3*k + 15 = -3*p. Suppose 4*w - 3*w = p. Suppose -a + w = -1. Solve -o + a - 5 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28187884 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 552, 489, 382, 225, 12, -263?\n\"Answer: -g**3 - 16*g**2 - 8*g + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2345*o = -97072 - 17833 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 1460160.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 2956*p - 340314. What is a(-120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 115\/4, 1.486?\nAnswer: 115\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 = -4*q, -u + 6 = 3*q - 2*u. Find the third derivative of 2*i**5 + q*i**2 + i**5 - 2 + 2 wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5. Suppose -5*b = -5 - 10. Suppose 12 = 3*g + b. Sort h, g, -7 in decreasing order.\nAnswer: g, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006907 to seven decimal places.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 7. Let d(u) be the first derivative of u**3 - 9*u**2\/2 - 13*u + 2. Is d(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 8\/(-6))*6657\/(-317)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 759877 - 223177. What is v rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 - 83. Factor 16*w**3 + 26*w + s*w**3 + 59 - 30 - 25 + 48*w**2 + 8*w**4.\nAnswer: 2*(w + 1)**2*(w + 2)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhghhhhhhhhhh.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63602 is divided by 30936.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-6))\/(-7)*(-259 + 88)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130 - -212232?\nAnswer: 221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {i: 3, u: 9, m: 2, c: 2}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 + 47e?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -8 - -7 - 1) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.24 + 1.54. Let s = f + 0.7. Let u(w) = -w**3 + 3*w**2 - 2*w + 4. Let x be u(3). Which is the smallest value? (a) x (b) 4\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15834 is divided by 2637.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*s, -5*n - 2*s = -3*n - 4. Let v = 3775 + -3775.2. Which is the third biggest value? (a) -0.5 (b) -1\/8 (c) v (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-6))\/(-2*3\/(-9)). Sort -3, 5, -4, x in ascending order.\nAnswer: -4, -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1496773, -1496107, -1495441, -1494775, -1494109?\n\"Answer: 666*y - 1497439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 34622?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -h - 7, -5*h + 54 = 3*k + 20. Let a(g) = g. Let j(o) = o**2 - 5*o - 1. Let n(z) = k*j(z) + 12*a(z). What is the tens digit of n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2\/2 - 113335*s\/2 + 2262700.\nAnswer: 5*(s - 22627)*(s - 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1336, 19, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 6)*(n**4 - 2*n**5 - n**4)*(4 - 5 - 1) + (-2*n**2 - n**2 + 6*n**2)*(3*n**3 - 2*n**3 - 3*n**3).\nAnswer: -30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29247, -28633, -28021, -27411, -26803, -26197?\n\"Answer: -g**2 + 617*g - 29863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - q**2 + 8353*q**4 - 2*q**3 + 13*q**2 - 8351*q**4 as w*q**3 + u + n*q**2 + z*q + a*q**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438297674.\nAnswer: 2, 73, 16700669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:09 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*x - 132 = 13*x. Sort -5, -2, 2, x in descending order.\nAnswer: x, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394881.\nAnswer: 3, 131627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56 and 8.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 23. Let c(f) = 15*f**2 + 2*f - 3. Calculate the remainder when c(-3) is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 11*x + 17. Let k(n) = n**2 - 6*n - 8. Determine 6*i(a) + 11*k(a).\nAnswer: -a**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1416289, 1416283, 1416283, 1416289, 1416301?\nAnswer: 1416319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/34*((-64)\/8)\/(-16)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18 = -s - 4, -s - 18 = -2*l. Suppose -l*c = -6*c - 26. Suppose -3*z = -6*z + 114. Calculate the remainder when z is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 116 = -4*f, 8 = -0*f + 2*f. Suppose 7*s - 2*s = k. Let l be 39\/(-18) - 1\/(-6). Sort s, l, -5 in decreasing order.\nAnswer: s, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -42*n + 1258. Let j be p(28). What is the greatest common divisor of j and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 2*z + 0*z**2 + 53088 - 4*z**2 - 52914 + 3*z**2 + 2*z**3 in the form b*z + y*z**3 + p*z**2 + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 d, and 2 t when four letters picked without replacement from {c: 2, t: 3, p: 2, v: 4, e: 3, d: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 13. Let g be m(-11). Let h be (-17)\/(-3) + 6\/g. Let w be -1 - (-2)\/3 - 28\/42. Sort h, -4, w in decreasing order.\nAnswer: h, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23312?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -7 - 29 - -4) + 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (315\/588)\/(24\/196).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5201784?\nAnswer: 2, 3, 7, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4 - 4. What is the lowest common multiple of m and -3 - -4 - (-1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.31 + -7.2. Let p = j + 0.12. Let c = p + -0.22952. What is c rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035089 is divided by 507?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 = 11. Let g = -0.66 + 0.7. Put d, g, -0.4 in decreasing order.\nAnswer: d, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10731602249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*k - 11*k**3 - 5*k**2 + 8*k**2 - 3*k**3 - 86*k - 20*k**2 to the form f*k**2 + v*k + z*k**3 + c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-192)\/(-28))\/4)\/(77\/((-21021)\/1794))\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 - -336.1572.\nAnswer: 337.9572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/(x**(1\/5)\/x))\/(x**12\/x**(11\/4)) assuming x is positive.\nAnswer: x**(-349\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10769 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -8. Suppose -13*s = s - 224. Suppose 0 = -2*c + d*c - s. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 1, u: 2, d: 1, f: 4, w: 2}. What is prob of picking 1 d and 1 s?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 75 = 87 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = 4*p - 65*z, -3*p + 90729*z = 90725*z - 33 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/9 - (-10)\/(-45). Suppose c = 3*u - 9, -35 = -2*x - 2*u + 5*u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3318)\/(-546) - 1\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10160 and 1943608.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/10 of a litre?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 20169*l**2 - 20170*l**2 - 14*l**3.\nAnswer: -14*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -652 or -18283\/28?\nAnswer: -652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c + 5. Let z(i) = -16*i - 11. Let y(w) = 5*u(w) + 2*z(w). Let v(t) = -t. Let j(n) = 72*n + 426. Let h be j(-6). Give h*v(p) - y(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 12 = -3*n, -4*g + 3*n + n - 16 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s + 79. Let z be w(-8). What is the least common multiple of 8 and (-5)\/(30\/24)*z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:13 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.18 + -3.31. Let c = y - -2.13. What is the nearest to 0 in 3, 0.16, c?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from aadddvwdddawawa?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, -5, 2\/7, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -547, -560, -589, -640, -719, -832, -985?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -24048*o - 240487. Determine j(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -6151*a**5\/20 - 58*a**3\/3 - a - 149. Find the second derivative of t(z) wrt z.\nAnswer: -36906*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from {j: 4, n: 1, r: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106 in 2\/21, -5829, 2\/13?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52367 + 419651\/8. Let z = b + -455\/8. Which is smaller: z or 33?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 58. What is the smallest common multiple of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 761290393 to the nearest integer?\nAnswer: 27591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-36)\/(z**(1\/2))**23*(z\/(z*z**(-1\/3)))**6\/((z*z**(-1\/4))\/z*z)**(1\/48) assuming z is positive.\nAnswer: z**(-1185\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 8:09 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(30)\/sqrt(3)) + sqrt(9))\/(3*sqrt(3)*-3).\nAnswer: -2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -0.42. Let j be (4\/6)\/((-6)\/9). Let h be 36\/(-30)*9\/(-378)*-30. Sort 2, k, h, j in increasing order.\nAnswer: j, h, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -14*b + 316. Does 22 divide d(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 - 13*j - 11. Let i be x(-14). Suppose -3*a + i = -p, 5 = 5*p + 10. What are the prime factors of a?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -15. Let o be ((-5)\/3)\/(-5)*(-3)\/(-1). Let p be (26\/(-65))\/(o\/(15\/(-6))). Solve g = 4*n + b, -4*n - 3*b = -6*b + p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13389915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5733 + 1071?\nAnswer: -4642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b, 2*b - 4 - 1 = -u. Solve -q - 5*t - u - 3 = 0, 3*q + 12 = -5*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-8)\/t*t**(2\/5)*t\/t**(-14)*t\/t**(-14\/9) assuming t is positive.\nAnswer: t**(448\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 1.53. Let y = 1 - d. Let v = 18.3 + -14.3. What is the second smallest value in v, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 + 9 = 0. Suppose -3*f + u = 2*s - 3*s, -3*f = s - 18. Factor 0*z + 281*z**3 - 277*z**3 + 1 - s*z.\nAnswer: (z + 1)*(2*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v + 43. Let o(p) = 4*p - 36. Let n(r) = 5*m(r) + 6*o(r). Let f(g) = 4*g + 4. What is 6*f(b) + 22*n(b)?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Express ((5*r**3 - 4*r**3 - 2*r**3)*(2 - r - 2) + r**4 + 5*r**4 + 0*r**4)*(0 - 7 + 5) in the form z*r + t + j*r**4 + c*r**2 + v*r**3 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 4*m - 3. Let l be i(-1). Solve u + 15 = -3*a, -5*u = 3*a + l + 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*l**3*x**4 - 209*l**3*x**2 + 54192*l**3 + l**2 + 2*l*x wrt x?\nAnswer: 984*l**3*x**2 - 418*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -614 (b) 2\/57 (c) -5 (d) 5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6)**42)**(-1) assuming i is positive.\nAnswer: i**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f + 44. Let u be 3*(4\/(-6) - 0). Let h(l) = l. Let y(t) = 2*t**2 - 11*t. Let s(c) = f*h(c) + u*y(c). Let o(b) = 3*b. Calculate o(s(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(77)\/sqrt(704).\nAnswer: -1 + sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -865 + 1472. Let z = h - 20024\/33. Calculate the common denominator of z and 5\/354.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96458073 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n + 52 = 13*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2 - 26 - 45\/((-2835)\/126).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 920.5185546 to the nearest 10.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/(0 + -1). Let r be c + 1 - (-3 + 2). What is the second derivative of 7*m**3 - 3*m - 5*m**r + m wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*y + 2*y. Suppose -4374 = -77*j - 4*j. What is the remainder when j is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11274 - 10857. Calculate the least common multiple of 39 and l.\nAnswer: 5421","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 - 2*q**3 + q**3 + (110*q - 14*q + 15*q)*(2 - 2*q**2 - 2) to y*q + r*q**2 + z*q**3 + t and give z.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 - 18 = -4*w, 3*x - 5*w = -17. Let t be (-4)\/(-10)*(-45)\/(-18) - x. What is t rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*v**2 + 11*v**2 + 225*v**2 + 21*v**2 + 116*v**2.\nAnswer: 479*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397371.\nAnswer: 43, 32497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-40)*(-10)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59631 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 361, 333, 305, 277, 249?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(1\/10))\/o)\/o**13)**(-35) assuming o is positive.\nAnswer: o**(917\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 16*b**2 - 4*b + 8. Let l be h(-16). Calculate the greatest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 1353*l\/2 + 1351.\nAnswer: (l - 1351)*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 37*o + 133523 = 26*o. List the prime factors of o.\nAnswer: 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11090553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -5 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107)\/4 - ((-896)\/(-28) + -62).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1747501 or -1?\nAnswer: -4\/1747501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13 - -11)*(-1)\/2. Let w(l) = 6*l + 3. Let j(a) = -a - 1. Let h(s) = c*w(s) + 3*j(s). Let m(r) = -9*r**2. What is m(h(v))?\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/180 - d**5\/90 - 18*d**2. Suppose g(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 392504107 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253*-0.1.\nAnswer: 25.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*k**3*q**3 - 11*k**3*r**3 - 4*k**2*q**3*r**3 - 65*k**2 + 2*q**3*r**3 wrt k?\nAnswer: -156*q**3 - 66*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2738729 + -2738028.9855. Let y = 700 - k. What is y rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -460 - -330. Let z be (-3)\/((-30)\/58) - t\/(-26). Sort -0.1, -1, 0.5, z in descending order.\nAnswer: z, 0.5, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20219123 is divided by 2642?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99599607.\nAnswer: 3, 281, 39383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b**2 + b. Let t(i) = 2389*i. Determine u(t(g)).\nAnswer: -51365889*g**2 + 2389*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:33 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 589, 1177, 1765, 2353, 2941?\nAnswer: 3529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173761949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 68 = -7*y. Let z = y + -12. What is the remainder when 8 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 51*f = -231. Calculate the highest common divisor of 119 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieiebiiiifiebiiefii. Give prob of picking 1 i and 1 e.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243403 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 11008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -16*a - 183 + 737, 507*a - 250*a - 25 = -5*v + 256*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2 + i + 1. Let k(j) = -j**3 + 26*j**2 - 51*j + 68. Let h be k(24). Let f(b) = 2*b**3 + 3*b**2 + 4*b + 4. Give h*u(p) + f(p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 15*s**2 + 6*s + 18. Let f be j(8). Suppose 3 = f*y - 7. Find the third derivative of -305*o**3 + 305*o**3 - 27*o**y - 14*o**2 wrt o.\nAnswer: -1620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11299169 is divided by 29272?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (7 - (-11 + 3 + (4 - 0))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12*z**2 - 19*z + 217. Does 8 divide s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89399458501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*c + 0 = -4, 3*x - c = 6. Let h be (2\/5)\/(x\/5). Find the third derivative of h*j**5 + 2 - j**2 - 2 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18929145.6372 - -189\nAnswer: 18929334.6372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101.99968 - 102. Round m to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2 + 16*t**2 + 108*t + 416 + 42*t**2 - 80*t**2 = 0. What is t?\nAnswer: -13\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 6:48 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 231\/3962939 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n + 20. Let u = -12 + n. Let l = u - 5. What is the highest common factor of 18 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1888 divided by 944.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(396)*1 + 0).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1600 and 3040.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -493055.4 rounded to the nearest 1000?\nAnswer: -493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 264503891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 19 - (1 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 2*v + 1. Let z(u) = -5*u + 2. Let d be z(-4). Suppose -s = t - 4*s - 14, d = t - 5*s. Suppose 2*k + 4 = -t*k. What is r(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 2*x + 1. Let i be r(-2). Suppose i = -l + 3. What is the smallest common multiple of (0 - l)\/(-1) - -18 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1819, -1835, -1863, -1909, -1979, -2079, -2215, -2393?\n\"Answer: -l**3 - 9*l - 1809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38408 - 22445 = 1088*w + 4408 + 16339 for w.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(0*i**4 - 2*i**4 + 0*i**4) - 18*i**4 + 24*i - 24*i + (-3*i**2 - 2*i**2 + 4*i**2)*(-2*i**2 + 4*i**2 - i**2) - 2*i**4 + 0*i**2 + 0*i**2.\nAnswer: -19*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12*((-33)\/9 + -2). Let u be (-187)\/y + (-2)\/(-8). Solve -u*o - 10 = -5*a, o - 2 = 3*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let u = 23.36 + -21.36. Which is the smallest value? (a) u (b) 5 (c) g (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-6)\/(-4))*18. Let q(u) = -u - 10. Let b be q(p). Does 17 divide (3 - (b + 0)) + 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.333 + -1.41. Let c = 0.263 - t. What is c rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 84.\nAnswer: 19\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + (-3)\/(-4). Suppose 2*o + 7 = 5*y, 3*y = 4*o - c - 6. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8510000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (sqrt(2916) + -1*-2*sqrt(2916) + sqrt(2916) + sqrt(2916))\/((5*sqrt(192))\/sqrt(4))).\nAnswer: -45*sqrt(3)\/2 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = u - 3*p, -5*u + p = -87 - 183. Let k be (-3)\/(((-2)\/2)\/u). Calculate the highest common factor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 27 = -481. Suppose 0 = v - 0*v - h. Is v 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 1904240141?\nAnswer: 20509, 92849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/9366 and -29\/23.\nAnswer: 215418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - c - 11 - 29, -2*c + 40 = 5*l. What is the smallest common multiple of l and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12922, 27329, 41736, 56143, 70550, 84957?\nAnswer: 99364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:17 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141.90182 - 0.03118. Let f = l + 142. Round f to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13001\/5577 + 15\/169. Calculate the common denominator of 19\/3 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -49, 4, 3, 0, 15, 5 in decreasing order.\nAnswer: 15, 5, 4, 3, 2, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1822971?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339019160?\nAnswer: 2, 3, 5, 59, 189127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*s + 18 = 0, n - 2*s = -2*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 - 279*q**2\/2 + 6345*q\/2 + 6627\/2.\nAnswer: 3*(q - 47)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 7. Let l be u(3). Suppose -4*m + l*m = 0. Suppose -2\/5 + 0*d**3 - 2\/5*d**4 + m*d + 4\/5*d**2 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*k + 5\/3*k**2 + 0.\nAnswer: k*(5*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2 - 22*q + 1 + 2 + 21*q - 2. Suppose -1 + 9 = -2*b. What is u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*u + 2*r - 42, 0 = -2*u + 5*r + 10. Let c(q) = q**2 + 32*q - 233. Let w be c(-38). Is 107*(u\/(-50) - 16\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -11*(-1295)\/(-770).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 509?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m**7*m))\/m)\/m**(1\/7)*(m\/m**(15\/7))\/(m*m**6))**(-5\/7) assuming m is positive.\nAnswer: m**(535\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**7\/140 + s**4\/24 - 15*s**3 - s - 77. Let l(p) be the second derivative of w(p). Calculate l(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 9*m + 7. Give h(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 - 1)*(-2 + h + 2) + 5*h - 2*h - 2*h + 0*h + 0*h + 2*h + 0*h + 0*h - 2*h - 3*h + 4*h - 2*h - 38 - 25*h + 38)*(3*h**2 - 2*h + 2*h)*(h + 3*h - 3*h).\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3816\nAnswer: 1526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**6\/720 + x**5\/20 - x**4\/6 - 3*x. Let n(w) be the third derivative of y(w). Let v be n(7). Is v at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2122*n + 232 = 2*t + 2235*n, 0 = 5*t - 6*n - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tittitctttttttti. What is prob of picking 1 t and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (-1 + sqrt(68))*-5)**2*2.\nAnswer: -3562 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*p + 2001 - 3693 - 8433 for p.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3741084?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:17 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5 - 61. Suppose -3*v = -2*v - q. Calculate the smallest common multiple of v and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -370, -561, -754, -949?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9879 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279906250.\nAnswer: 2, 5, 7, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/(6\/(-18)). Let c(m) = -m + 4. Let k be c(d). Solve -k = 4*h - 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21783797\/220 + -99017. Find the common denominator of -1\/2 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41665, 41055, 40407, 39703, 38925, 38055, 37075, 35967?\nAnswer: 34713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1467*u - 5337. Let a be q(-8). Calculate the greatest common factor of a and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9600*n**3 - n**2 + 15*n. Let r be p(15). Round r to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142450*o**3 - 71337*o**3 - 71112*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32393*b**3*t**2 - 233*b**3*t + 2*b**2*t**2 + 14*b**2 + b*t**2 - 28*b*t + 479*b wrt b?\nAnswer: -194358*t**2 - 1398*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -95*l + 88*l. Solve 20 = -0*b - l*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*k**5 + 14*k - 14*k + (-k**2 - k**2 + 0*k**2)*(-3*k**3 - 2*k**3 + 4*k**3) + 0*k**5 + 5*k**5 - 3*k**5 + (4 + k**2 - 4)*(-2*k**2 + k**3 + 2*k**2).\nAnswer: -51*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36.5921 and -0.03.\nAnswer: -1.097763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1286180733 to the nearest integer?\nAnswer: 35863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 9*g**2 - 9*g + 1. Let c be s(7). Suppose 0*q = -3*q + c. Suppose q - 4 = 4*h. Solve -t + 3*t = -h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01591823 - -0.32804307. Let b = q + -0.344. What is b rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*g + 9*g. Solve a - g*s = 6, -3*s = -3*a - 2 + 11 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 21. Suppose 5*j + 8 = 9*j. Suppose -j*i - 3*i = -5. Which is the second smallest value? (a) i (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.442131ml?\nAnswer: 0.005442131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 0.1, -2\/11, -4, 2\/35, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f**2 - 4*f - 144. Let v be z(4). Solve v*d - 224 = 72*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4647 - 24*x**4 + 2*x**2 + 4647 + (0 - 1 - 1)*(-5*x**3 - 14 + 14)*(x - x - x) as f*x**4 + q*x**3 + a*x**2 + g*x + n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*r**3 - r - r - 146*r**3 as i*r**2 + b + k*r**3 + p*r and give k.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/91251 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 9*u**2 + 27*u + 56. Let a be t(-6). Let b be (1 - 0)\/((-1)\/(-23)). Let l(n) = -n + a + b*n - 2. Let q(p) = p**2. What is q(l(j))?\nAnswer: 484*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8796 at least 6680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53237899031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9136526 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 14*d**2 + 80*d + 88.\nAnswer: -2*(d - 11)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21170, -21185, -21200, -21215?\n\"Answer: -15*o - 21155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3689701 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: What is the value of -45 - -5 - (-749 - -699)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.154 (b) 9 (c) -5 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Suppose -s*t + 17 = l, 3*l + 9 = t + 2*t. Suppose u = -b - 2*u + 2, -t*u = 3*b - 6. What is the smallest common multiple of b and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/5, 11, -1, 52\/11 in decreasing order.\nAnswer: 11, 52\/11, 3, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 2, f: 1, h: 2, t: 2}. What is prob of sequence ft?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 + -1.2. Let r = -32 - -52. Let n = 61\/3 - r. What is the closest to q in n, 0, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c = -44*c - 117 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84884294 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 660 + -640. What is the lowest common multiple of 55 and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1736868*f*v + 2612*f - 150 wrt v?\nAnswer: 1736868*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (736\/1008*-7 + 5)\/(10\/6).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -11. Let v(b) = -3*b**2 - 15*b. Let l(f) = 2*f**2 + 10*f. Let s(n) = -7*l(n) - 5*v(n). Does 14 divide s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48894234 to the power of 1\/2, to the nearest integer?\nAnswer: 6992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2312726 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-21)\/(-56)). Solve -p - 3*p = o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Let u(f) = -4*f**2 - f**2 + 11*f + 11 + i*f**2 + f**2. Let m be u(11). Solve -2*c = -q + 2, 2*q - m = 3*c - 6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95\/23? (a) 1\/2 (b) -2 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1491.999443 + -1492. What is n rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 914000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 1\/5*n**2 + 9*n + 0*n**3 + 0 - 1\/30*n**4. Factor d(o).\nAnswer: -2*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 156*d - 293*d + 152*d - 9 - 2*d**2 - 7 + d**2. Let g(f) = 13*f + 1. Let c be g(1). Give j(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 236*s - 8 - 234*s - s**2 + 2*s**2 + (10 - 10 + 8*s)*(-614 + 614 + 63*s).\nAnswer: 505*s**2 + 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 12) to base 7.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/20 + 2\/(-5). Let g = 9 + -10. Put k, -3\/7, 0, g in ascending order.\nAnswer: k, g, -3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 21 + (6 - 3) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 2*z - 6. Let h = 2 + 0. Let t(p) = -3*p**2 - 3*p**h + 3*p**2 - 3*p + 7. Let x(w) = 3*w**3 + w. Let l be x(-1). Determine l*t(m) - 5*d(m).\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 4, -15, 1, -2, -2364 in decreasing order.\nAnswer: 4, 3, 1, 0, -2, -15, -2364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 28*x**2 - 34*x + 27. What is j(-3)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2094 is divided by 254.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - d**2 + 94*d - 40. Calculate v(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3108837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21110283521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 55. What is h(9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 627?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2390)\/(-60) - (-25)\/(-30). Sort -4, y, 4, 0 in ascending order.\nAnswer: -4, 0, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 430*u - 1935. Determine b(5).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0 + sqrt(91)\/sqrt(28) - 3*sqrt(468))**2 + -5.\nAnswer: 1553\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*d**4 - 69*d**2 - 6816*d wrt d?\nAnswer: 1380*d**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 + 6*i**4 + 22*i**4 - 5 + 5 - 2*i**4 + (-4*i**3 - 2*i**3 + 5*i**3)*(-3 + 3 + i).\nAnswer: 21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 48*j**3 + 4*j**2 + 2*j - 2. Let o(h) = -2*h**2 - h - 1. Determine -b(n) - 2*o(n).\nAnswer: -48*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 1 + sqrt(252) + 3 + 0)*-4 - (-6*(-1*sqrt(70) + sqrt(70) - sqrt(70)))\/((sqrt(120)*1)\/sqrt(12)).\nAnswer: -54*sqrt(7) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*g - 27*g - 24*g - 904*g**3.\nAnswer: -904*g**3 + 27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*p**3 + 100739*p**2 - 100739*p**2 - 281*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.3, 2\/19, -2, 15\/17?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 63*x**4\/4 - 2*x**3\/3 + 3*x + 43. Let t be p(1). Suppose -3*j + 16 = -2*j. Calculate the greatest common divisor of j and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 42. Let u = f - -62. Let i = -25.2 + u. What is the nearest to 2\/7 in i, -3, 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d**4 + 1988*d**3 + 3772*d**2 - 7092*d + 1368 = 0. Calculate d.\nAnswer: -3, 2\/9, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765769892?\nAnswer: 2, 691442473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - -1. Let r be 148*((-9)\/k + 1). Let l = 16 + r. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 5*t**4\/3 + 5320*t - 2. Let z(r) = -223*r**2. Calculate z(w(a)).\nAnswer: -89200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-30))\/((-59)\/(-590))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143 - 143 + 164*b)*(1 + 7 - 3)*(3 - 2 + 0)*(-4 + 2*b + 4).\nAnswer: 1640*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -5912 + 6104. Calculate the smallest common multiple of 168 and w.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*a + 5*a + 796 - 795 + 7*a**2 + 2*a + 11*a**2 to the form z*a + t + c*a**2 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3)*8*(-1)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, m: 4}. What is prob of picking 2 d and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 959\/42 + (-2)\/(-3) and 4\/(-12) - 7\/33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 4*i - 9. Let g be z(6). Let k = g - -3. What are the prime factors of 18 + k\/3 + 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1620)*-6)\/sqrt(9) + -4.\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22021021 (base 4) to base 3\nAnswer: -2002222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50252.\nAnswer: 2, 17, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (68 - (-4 + 3)) + (-1427 - -1437)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36632 is divided by 9158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -8*r**5\/17 - 10*r**4 + 1188*r**3\/17 - 1512*r**2\/17 - 1404*r\/17 + 1458\/17 = 0.\nAnswer: -27, -1, 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -23482*y**2. Let n(u) = -2*u. What is n(s(d))?\nAnswer: 46964*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/7)*(o*o**26)\/o)\/(o**(3\/5))**(1\/18) assuming o is positive.\nAnswer: o**(5633\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*r**4 + 5*r - 6*r**3 - 9*r**5 - 2*r + 80*r**4 - 12*r**3.\nAnswer: -3*r*(r - 1)**3*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 1\/12, -10.9 in ascending order.\nAnswer: -10.9, -5\/6, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 + -143 + (2 - 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**3 + 18*o**3 + 21*o**3 + 26*o**3 - 129*o**3 + 26*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**2 - 6*l**2 + 68*l**2.\nAnswer: 87*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 95436 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/28 + (-90)\/(-84).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4\/7 + 3920*b**3 + 10084200*b**2 + 11529602000*b + 4943316857500 = 0.\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80590?\nAnswer: 2, 5, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 870\/(-7250)*(-45)\/54\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/9859 - -3154803\/108449. Solve 18\/11*h - 28\/11 - 40\/11*h**4 + 234\/11*h**3 + r*h**2 = 0.\nAnswer: -1, -2\/5, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.9607146 to one decimal place.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b + 329 = 537. Let x(n) = -2*n**2 - 5. What is x(b)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2371, 8500, 18717, 33022, 51415, 73896, 100465?\nAnswer: 131122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c - 5. Let q(z) = -11*z + 4. Let k(u) = -3*a(u) - 2*q(u). What is k(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((37 - (-29 + 102)) + 105 - (4 - 1)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12332 + 3223033002?\nAnswer: 3223020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10393*g - 3141. Is j(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29 and 214817.6597828.\nAnswer: 214788.6597828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2383159228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 72 = 2*d. Suppose 0 = 2*l + 4*x - 0 - d, 36 = 2*l + 3*x. What is the second derivative of l*m**5 - 5*m + 20*m - 3*m**5 wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81154 divided by -4.\nAnswer: -40577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7335.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/50)\/((16\/(-60))\/(-2)). Let w = 0.3 - -0.2. What is the biggest value in -5, w, k, 1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 4 (c) -9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.6 + 12.7. Put 5, -0.1, w, 9, 2 in descending order.\nAnswer: 9, 5, 2, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109)\/((-2398)\/132) + 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m + 24 = 0. Let p = 25 - m. What is the remainder when 38 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-42) + 6\/((-6300)\/(-6915))?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 114. Suppose 62*o - j*o = -198. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/165)\/((-4)\/(-60))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-5) - -2*1. Suppose -5*h - 3*d + 12 = 0, -r*h - 2*d + 5 = 2*d. Suppose h*c - 675 = -6*x + x, -5*c + 251 = 2*x. What are the prime factors of x?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8256902 is divided by 2064225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -13 + 3 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -762 + 1322. Calculate the highest common divisor of 1540 and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**6\/15 - 4*a**5\/5 - a**4 + 8*a**3\/3 + 7*a**2 - 2*a - 41. Solve l(g) = 0 for g.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-6)*2*3\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 133230?\nAnswer: -133230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 22 = 2*p, -p = 3*p + 5*v + 40. Let y(s) = s**3 - 4*s**2 - s - 4. Let r(z) = 2*z**3 - 4*z**2 - 2*z - 5. Let i(f) = -2*r(f) + 3*y(f). What is i(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5. Let y(v) = -v - 6. Let k(r) = 6*b(r) + 5*y(r). Let a be k(2). Which is greater: -12 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*u**2 + 560*u - 5 = 0 for u.\nAnswer: -1, 1\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.71 + 1.21. Which is the closest to -26? (a) j (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -319*o + 161*o + 157*o - 18. Calculate q(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 10. Suppose -3*o + 5*t + 28 = -814, -12 = 3*t. Suppose -19*n + o = -30. Calculate the greatest common factor of n and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 709, 2710, 4 in decreasing order.\nAnswer: 2710, 709, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 34*d - 1. Let p(b) = -2*b. Give i(p(m)).\nAnswer: -8*m**2 + 68*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 34214141 (base 6) to base 11\nAnswer: 653588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*f - 6 = 0, 3*t - 4 - 7 = -5*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 1. Let x(t) = -t**2 - 4*t + 4. Let c be x(-4). Suppose c*r = 3*g + 8, -2*r + r + 3*g = 7. Suppose l - 2 - 2 = 0, 5*l = r*q. Calculate f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5565794 divided by -2?\nAnswer: -2782897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-189)\/56) + 74\/(-240)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 25203.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Let j(c) = c - n*c + c. Let q(z) be the first derivative of -z**2 - 2. Calculate j(q(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3687, 7373, 11059?\n\"Answer: 3686*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + y - 6*y + 3 = 0, -k = -2*y + 12. Let l be (-6)\/(-14) + k\/42. Solve 3*u - q - 10 = 0, 4*u - 2*u + q - 5 = l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*p - 0*p. Suppose 5*k = 5*g - 5, 4*k = k - 4*g + p. Solve -2*v + 2*j + 3*j - 12 = 0, 3*v - 3*j = k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.2. Let g = 0.064 - 2.764. Let q = 0.3 - g. Put v, -0.5, q in ascending order.\nAnswer: -0.5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 96*g**3 + 104*g**2 - 96*g - 100.\nAnswer: -4*(g - 25)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 9\/43, -97195.\nAnswer: -97195, -0.1, 9\/43, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 1:47 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 12 = 12. Suppose -4*k - 5*c - 10 = 13, -2*c + 4 = -5*k. Is (b\/(-18))\/(k\/(-894)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -10. Suppose n = -4 + b. Solve n*l - l - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(-4 + (sqrt(1088) + sqrt(1088)*2*6 - -2*sqrt(1088)*-2) + 5 + -1)**2.\nAnswer: -528764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*12 + 146\/38. Which is the third biggest value? (a) x (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**5\/4 - 5*b**4\/4 - 5*b**3\/4 - 18. Suppose u(r) = 0. Calculate r.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22564543115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, 6\/11, -3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5554.051 years to millennia.\nAnswer: 5.554051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36 - (2\/(-2) - -1). Let r(u) = -84*u + 3. Let i be r(0). Suppose m = -i*m + 4*o + q, -4*m + 5*o + 41 = 0. Let s(y) = y - 5. Calculate s(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2246 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*f - 2*q, 3*f - 4*q = -3 - 1. Suppose r + 0*r = f. Suppose r*c - 15 = -c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -14.6. Which is the closest to -4? (a) -4 (b) 4\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Let b(q) = -3*q**2 + 2*q. Suppose 0 = j + k + 3, -3*j - 3*k = -k + 8. Determine j*s(y) - b(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7698, -14943, -22166, -29355, -36498, -43583, -50598, -57531?\nAnswer: -64370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(-130*g - 293*g - 501*g)*(-5*g + 3*g + 3*g)*(4*g - 3*g - 2*g).\nAnswer: -1848*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29664475 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-272))\/((-16)\/272).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*g + 25 = 0, m - 4*m + 5*g + 19 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h + 428*h**2 + 249*h**2 - 676*h**2 + 2 - 16*h**3 + 2*h**4 to y*h**4 + x*h + o + j*h**3 + c*h**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 21. Let t be (-4)\/6 - q\/(-3). Find the second derivative of 4*x - 2*x - x + t*x - x**5 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 smaller than 255304595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**4 + 2*w**3 - 5*w**2 + 6*w. Let n(m) = m**3 - 10*m + 13. Let v be n(2). Let f(b) = b**3 - 2*b. Let r(k) = v*g(k) + 2*f(k). Solve r(q) = 0 for q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 128*b + 88. Give d(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 602*j**2. Let t(n) = -38995*n. Calculate t(a(b)).\nAnswer: -23474990*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598986 and 101386.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p - 8*p + 2*p)*(12*p + 115 - 115)*(p - p - p**2).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-12)*(0 + 3\/2). Let b be (-7)\/9 + v\/(-3). Let m be (-4)\/(-6) - 119\/147. What is the third smallest value in 5, b, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 3eca04?\nAnswer: 3eca06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100010111 (base 2) to base 14.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 3*f. What is the common denominator of 59\/20 and 335\/200*(f\/1 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7275005 - -6?\nAnswer: 7275013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 1:06 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 6, 4*h - h = -3*g - 33. Let m be 0*(10\/(-12) - 3\/h). Suppose m = 21*f - 17*f - 104. Calculate the remainder when 97 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -334 + -a?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -1, -0.5, -2, -6 in increasing order.\nAnswer: -57, -6, -2, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6948.641ns to milliseconds.\nAnswer: 0.006948641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/11, 3, -2\/15, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128184 (base 9) to base 6.\nAnswer: -1401504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99866900.7ns to weeks.\nAnswer: 0.00000016512384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (32 - 11) + -46\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -45. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20*q**2. Let t(u) be the first derivative of -u**2 - 2. Give t(z(w)).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**2 + 25*s - 8. Let q be l(-8). Suppose -3*o + q = 2*t + o, 5*t + 2*o = 912. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.034, 1.4, 33, 0.8 in ascending order.\nAnswer: -2\/9, 0.034, 0.8, 1.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(684) - -5*(sqrt(684) + -4*sqrt(684) - sqrt(684)))**2*1*-4 + -5.\nAnswer: -4938485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -53385 divided by 5\nAnswer: -10677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 17733264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 2*o**3 + 2*o**3)*(-o - o + 4*o) + (0 + 3 - 1)*(-3*o**4 + o**4 + 4*o**4) + o + o**4 - o.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 143 = 17. Suppose -2*u + 4*i = i - 9, 0 = 5*u - 4*i - b. Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by 6?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 41 = -5*o, -5*i + i - 2*o = -74. Calculate the smallest common multiple of 10 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 3. Let a be b(1). Suppose a*i = 4*i - 2330. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 0 (b) -241 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006117164 to 6 decimal places.\nAnswer: 0.000612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -16*h - 78. Let i be (3 - 28\/20)\/(16\/(-200)). What are the prime factors of z(i)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 9 + 10)*(-2*t + 4*t + 0*t)*(0 + 1 + 2) to b + d*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 12975.044 to the nearest one hundred.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v**3 + 348*v**3 + 153*v**3.\nAnswer: 473*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1495632 and 576.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.483*-27089.\nAnswer: 13083.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56041\/4620 + 182\/15. Are 0 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 491*i*y**3 + 4*i*y**2 - 3*i - 11109*y**3 wrt i.\nAnswer: 491*y**3 + 4*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 + 0*h**2)*(-2*h - 3 + 3) - 34*h**3 - 80*h**3 - 106*h**3.\nAnswer: -224*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/550*-11 + -51?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**3 + h + 16*h**2 + 8*h**2 + 4*h - 19*h**2. Let m(w) = 33 - 7*w - 8*w**2 - 19 - 14*w**3 - 14. Determine -5*m(n) - 8*v(n).\nAnswer: -2*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**3 + 7*p**2 - 3*p. Let q(g) = 4*g**3 + 8*g**2 - 3*g - 1. Let r(c) = 4*q(c) - 3*z(c). Is r(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = 16. Calculate the remainder when s is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i + 6, -5*d - 5*i = 40. Let p(v) = 3*v + 21. Let x be p(d). What is the derivative of 1 + x*f**3 - 3*f**3 + f**3 - 5*f**3 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5150 by 10.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 57848*v**4 - 1159644*v**3 - 15697328*v**2 + 16799120*v = 0 for v.\nAnswer: -14482, -10, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1 - 4 + 4 - 2 + (-5 + 1 + 2)*(2 - 1 + 1) + 8 + 1 + 3)*(2 - 2 - 4*m**4) to f*m**3 + x*m**2 + h*m + v + a*m**4 and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 82*l - 1821. What is h(22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**2\/2 - 2*h - 1548. Let z(l) = -l + 3. Calculate 8*g(q) + 5*z(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 3*n - n**3 + (-n + 11 - 11)*(-5*n - n**2 + 5*n) + 0*n**3 - 24*n**3 + n**3.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o**2 + 2*o. Suppose -u - 1 = -3. Suppose 4 + 8 = -2*b + w, 2*w - 10 = u*b. Is k(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.76 - 0.09. Let t = 0.15 - p. What is the second smallest value in t, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106919.\nAnswer: 3, 11, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 2, a: 1, s: 1, b: 1, x: 1}. Give prob of picking 1 t, 1 b, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 42 - v - 7 + 40.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14089 at most 14089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4320)\/150 - -27)\/((-6)\/410). Solve -4*u - h = -143 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 13 = 11. Calculate the remainder when 11 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-18 + (11 - (-3 + 7))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1853 - 1180. Let y = k - 673.277. What is y rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 4*a**3 + 3*a**3)*(-4*a - a + 4*a) + (-6*a**2 + 3*a**3 + 6*a**2)*(-3*a + 5*a + 0*a).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 1622*c - 35.\nAnswer: -1622*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5615909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + d - 2*d)*(0 - 2*d**2 + 0) - 8*d**3 - d**3 - 12*d**3 - 83*d**2 - 9*d**2 - 2*d**3 + 47*d**2 in the form o*d**3 + r*d + j*d**2 + q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -77725 (b) 3.2 (c) -0.5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1604 + -1204. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-1)\/((-10)\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:45 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35107 + 62947 = 232*x for x.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-62)*-5*32\/280. Let v = h + -1097\/651. Which is the second smallest value? (a) -0.03 (b) v (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 58 = -22. Let w(i) = i**2 + 6*i + 6. Let k be w(-6). What is the greatest common divisor of l and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o**2 - 3126*o**3 + 12*o + 6248*o**3 - 3121*o**3 - 10. Determine x(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 9*l**2 + 3*l - 9.\nAnswer: -3*(l - 3)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 equal to 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-24)\/4 - 3) + 1922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 29294\/503?\nAnswer: 29294\/503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 4:52 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1560 divided by 78\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((8 - 3 - 2)*(2 - 4 + 0) - 3 + 4 - 3 - 12 + 30 - 102)*(-4*r + 3*r + 0*r - 2) to the form o + h*r and give h.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 - 199 - 6835 - 1254 to s*c**2 + y*c**3 + m + b*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4009 + 4061. What is the remainder when (147\/2 - 1\/(-2))*2 is divided by n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-3 - (2 - 4)). Suppose p = 5*z - 18 - 7. Let m(n) = -4*n**3 - n**2 - 2*n - 2. Let d(t) = 9*t**3 + 2*t**2 + 4*t + 5. What is z*m(r) + 2*d(r)?\nAnswer: -2*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**5 - 428072*i**3 - i**2 - 172067*i - 13 wrt i.\nAnswer: -60*i**3 - 2568432*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2365486659 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, 102, 331, 776, 1509?\n\"Answer: 12*u**3 + u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -4113*d**5\/20 + d**4\/4 + 5*d**3\/3 - 37*d. Let t be a(5). What is t rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19868 divided by 51431?\nAnswer: 19868\/51431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 4. Let a(g) = 3*g**2 + 14*g - 22. Let j be a(-6). Let k be (-4762)\/(-10) + (-4)\/20. Let c(i) = -k + j*i + 476. Determine c(s(x)).\nAnswer: -6*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -724197\/11 or -65837?\nAnswer: -724197\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -403*d + 2054*d + 5181*d + 4583*d to the form y*d + a and give y.\nAnswer: 11415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 u when three letters picked without replacement from {v: 8, o: 6, u: 4, i: 1, z: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*y = 0, -4*t - 5*y = -2*t - 52. Let l = t - 7. What is the remainder when l is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Suppose -1573 + 15230 = 7*k. Let q(r) = -r - k + 1951. Calculate q(p(j)).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1956983, -1956809, -1956635, -1956461, -1956287?\nAnswer: -1956113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -79.31 (b) 1\/4 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717*v - 4204*v - 29555*v + 660*v.\nAnswer: -33816*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 1. Let k(q) = 4*q - 1 + 0*q + r. What is the smallest common multiple of 10 and k(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28989164 is divided by 15636.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxuggdxwwxxggz. What is prob of picking 1 u and 1 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2481456.87ns?\nAnswer: 0.000000028720565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -2. Let v = -12 + d. Let z(n) = n**3 + 2 + 2*n**2 + v + 0*n**2 - n**2. Calculate z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 771*c - 17. Let o be l(3). Calculate the highest common divisor of 112 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b**3 + 2*b**2 - 24*b**3 + 25*b**3 as f*b**2 + n*b + y*b**3 + r and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169138 is divided by 331.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11111 and 574.\nAnswer: 155554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -198?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 10*s - 4*s - 6*s**2 + 0*s**3. Let k = 513 + -511. Let m be j(k). Solve 5*g = -3*y - 10, -5*g - 34 - 11 = -m*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.278, -0.1, -4\/7, 0.5, 2 in descending order.\nAnswer: 2, 0.5, 0.278, -0.1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 587512 * -0.3.\nAnswer: -176253.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:09 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-10)*38\/114?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -19, 4, -4 in decreasing order.\nAnswer: 6, 4, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3238*r + 1464 = -6936 - 8519 + 729 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 + 3\/(-12). Let l(h) = 74*h**3 - 2*h**2 + 2*h - 1. Let j be l(1). Let f = -69 + j. Solve u*a = -a + 2*k - 1, -8 = -f*a + 4*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12806, 22796, 32786, 42776, 52766, 62756?\n\"Answer: 9990*b + 2816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**2 + 3*q - 12. What is o(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -29*b - 638. Let z be g(-22). Let h = 38 + -22. Suppose 0 = -2*y + 12 + h. Solve 2*x + y = -4*w - z*x, -2*w - 4*x = -2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6447194 and 96596?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-12))**(-13)*(z*z\/(z\/z**(-17)))\/z*(((z**(-2\/59)*z)\/z*z)\/z)\/z*z)**(-25) assuming z is positive.\nAnswer: z**(-204975\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*p - 6*p + 10*p - 24*p.\nAnswer: -68*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*3956\/(-989)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 389 (b) -3 (c) 0 (d) 4 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 26. Suppose -15*r + r - 98 = 0. Let d be v(r). Let b(s) = s**2 - 11*s - 3. Calculate b(d).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10)**(-32)*g*g**30*g\/(g\/(g**(-1\/64)\/g)) assuming g is positive.\nAnswer: g**(-18561\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 201102?\nAnswer: 201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 80810*o**2 - 1. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321549442 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047902979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*k - 457 = 0, -x = -2*x + 3*k - 127. Let t be 4\/22 - x\/(-528). Let n = -5\/24 + t. Which is the smallest value? (a) -8 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84 from -9431755.\nAnswer: -9431671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*l + 582050000 = -91*l. Suppose 0 = 4*a - 2*t - 66520000, 0*a = -5*a + 4*t + l. Round a to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 1:21 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196*u**2*w + 3*u**2 - 130*u + 5*w wrt u?\nAnswer: -392*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 5. Let y be (-56)\/(-2)*7\/14. Let l(u) = u**2 + u + 1. Let f(x) = -7*x**2 - 6*x - 4. Let r(n) = -f(n) - 6*l(n). Give y*r(j) + 6*d(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((64\/6)\/(-2))\/(391\/276*56\/476)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 247, 9, -3, 499?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(8*12615\/(-1392))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -767650\nAnswer: 2\/76765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Suppose 1514 = m*a - 2*g, 3*a - 4*a = -2*g - 377. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**4\/5 + 102651*k**3\/5 + 919963383*k**2\/5 + 141494342757*k + 141310370610 = 0?\nAnswer: -16685, -846, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/21 + 573\/(-21). Let i = -27 - o. Suppose 5*p - 187 = -4*r, i = 3*r + 2*r - p - 270. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43613, 42932, 42249, 41564, 40877, 40188?\nAnswer: 39497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -1\/4, 5, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -650*s**2 - 300*s.\nAnswer: -1300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 336243 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33072, -32936, -32800?\nAnswer: -32664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a decade in years?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1064\/13 + -22671\/260. What is the common denominator of g and -10\/59?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202979 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 + 207*u**2 + 77*u + 8541. Give s(-42).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 12415*b - 14225376.\nAnswer: (b - 1056)*(b + 13471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 - -2221?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12163842651 + -27777?\nAnswer: -12163870428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*y - 12, k + k = -6. Let p be (-2)\/6 - (-13)\/3. Let q(l) = -l - 2*l + 2*l - p + 10. Give q(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26289230 divided by 1143010\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 841*a - 855*a + 224. Let z = 44 + -28. Let k = z - a. Solve k*s + s + 4 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -12*x**2 + 43*x + 2978. Let j(b) = 2*b**2 - 8*b - 596. Calculate -2*f(u) - 11*j(u).\nAnswer: 2*u**2 + 2*u + 600","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9))**(-4\/19)*t**(-11)*t\/(t*t**(-3\/5)) assuming t is positive.\nAnswer: t**(-8932\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2 - q + 3. Calculate k(-4).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2, -20.\nAnswer: -20, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 28. What is v(-10)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((160\/12)\/4*-3). Let x = -224.5 - -133. Let i = -92 - x. Which is the closest to y? (a) 1\/8 (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1884 and -47\/40?\nAnswer: 18840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 + 97*f**2\/6 + 47*f\/2.\nAnswer: f*(f + 47)*(2*f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 17 = -w. Let m = w + 20. Solve s = -t - 1 - 2, -m*s + t + 11 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-26) + (7 - (4 - (-85570)\/(-26))) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27096?\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4)\/(-26) - 252\/(-52) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102596513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3266*a - 3266*a + a**2 - 54. What is the tens digit of q(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -51*d - 515. Let v be r(-10). Suppose 18 = -u + 2. Let b = v - u. Solve -b*o = -6*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let b(z) = 11138493*z**2. What is k(b(x))?\nAnswer: -124066026311049*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 0.03268731\nAnswer: 0.49030965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 2*k**5 - 3*k**5 + (-3 - 1 - 16)*(-2*k**5 + k - k).\nAnswer: 39*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3\/2 + 10389*t**2\/2 + 8957805*t\/2 - 63214725\/2 = 0. Calculate t.\nAnswer: -1735, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -31, 4, -79, -1 in increasing order.\nAnswer: -79, -31, -7, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063 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: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, p: 6, v: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 14883306.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1\/2 (b) -3\/4 (c) -83376 (d) 0.4 (e) -1\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.255936 weeks in seconds?\nAnswer: 2573990.0928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = p + 5*n, 21 = -p - n + 28. Calculate the remainder when 15 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 4843590.\nAnswer: 9687180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.988 - 5?\nAnswer: -4.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r*r)**28\/((((r*r**27*r)\/r)\/r)\/(r**(2\/13)*r)) assuming r is positive.\nAnswer: r**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 4*o - 2. Let l be a(-3). Let p = 9 + -5. Let t = 0.02 - -1.98. What is the nearest to 1\/4 in l, t, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1222, 1234, 1254, 1282, 1318, 1362?\n\"Answer: 4*p**2 + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -21, -109, -233, -393?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08617 rounded to two decimal places?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231463?\nAnswer: 231463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-90)\/9)*(-1)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 737357364 to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -6, -802, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*w - 5325 + 885 = 0, -3*t + 6667 = 4*w. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 2*m**2 + m**3)*(4*m - 5*m - 9 + 12).\nAnswer: -m**4 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 2a53?\nAnswer: 2a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**3 - 9*n**2 + 7*n + 2. Let d(a) = a**3 - a**2 + a. Let v(r) = -c(r) + 5*d(r). What is v(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - 3*o + 2*o)*((11 + 8 - 6)*(4*o**2 - 5*o**2 + 3*o**2) - 17*o**2 + 5*o**2 - 4*o**2) as d*o**3 + t*o + y*o**2 + b and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202 - 377. Let j = -164.9 - v. Are -1\/3 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + u + 5. Let v(i) = -4*i**2 - i - 11. Let s(d) = 7*p(d) + 3*v(d). Suppose -21 = 2*x + 5*y, -4*x - 4*y - 24 = -0*y. Is s(x) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hahpwshwwhaahhpahah. Give prob of sequence swp.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1378.9 - 1378.38. Let l = -51068.52001 - -51068. Let j = o + l. Round j to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2013599 + 2013599 + 70*j.\nAnswer: 70*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 19*o + 6. What is k(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 1011?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*2)\/(1\/2). Suppose h*b + 0*b = -80. What is the units digit of (-44)\/(-10) + 8\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15206818 is divided by 28692.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 + 14. Let m = 76 - d. Let k = 44 - m. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375754 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/(-74)) + (-11 - -9). Suppose i*k = 33*k. Solve k = w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99027921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-495)\/(-22))*1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/3 - 37642*n**3\/3 + 75278*n**2\/3 - 12546*n.\nAnswer: 2*n*(n - 18819)*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxdd when four letters picked without replacement from {n: 1, d: 3, y: 1, u: 2, x: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -1.48?\nAnswer: -8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1650 and 8182614.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/11 - 0)*220\/330. What is the smallest value in -87, -5, a?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 1. Let z be 77 + (-2)\/a*-3. Suppose f = 6*f - z. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from ujnjijzufnjjizuuj?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 17*i**2 - 16*i + 59. Give x(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.6 - -21.9. Which is the biggest value? (a) 0.06 (b) -1 (c) -2\/33 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:11 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 2*r**3\/3 + 15*r**2\/2 - 2*r + 589. Give l(16).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11988\/20117 + 7781611563\/3419890. Let h = 2276 - m. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.222.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/6 and ((-1440)\/146340)\/(-1 - 3).\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19536 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -60. Let i = 0.54 - 0.24. Let z = 79 - 75. What is the third biggest value in -1\/2, i, z, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 542*u - 6176. What is the lowest common multiple of l(12) and 492?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905068007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/10 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 9\/4 + 1 - 3\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 - 125 = -2*q. Solve -2*v + v - 4 = q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -1 + (15 - 16)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 555749226 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 1124330?\nAnswer: 1124327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.755 + -0.245. Is -74 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31086 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 505888500 a multiple of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 + 632 = 6*c. What is the greatest common divisor of c and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/(((-4)\/1)\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*c = -c - 63, 0 = -3*b - 2*c + 88. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = j + 9, 2*j = 3*d + 2*d - 12. Suppose 0 = -3*l + d*l + 20. Let i be 2\/7 + 2\/(-7). Solve -k = -3*h + 16, 0 = -5*k - i - l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1968794*m*n**4 + 54510*m*n - 6*m wrt n.\nAnswer: -23625528*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(19 - 3)*0. Solve x = 41*h - 114 - 91 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9d84a + -2?\nAnswer: 9d848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {f: 4, z: 4, s: 1, d: 1, r: 9}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - ((-189)\/(-45) - 24\/140*7). Solve 2 = -4*r + k, -68*r + 67*r - 3*k - w = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 plus 0.24?\nAnswer: -422.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(2*b**2 - 2*b**2 - b**3) + 2*b**3 + 3*b**3 - 6*b**3 + (2*b**2 + 35*b - 35*b)*(0*b + 3*b - 5*b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 + 189.9. What is the nearest to n in 2, -0.1, 19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 87 and -0.555615?\nAnswer: -48.338505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 126. Let u be j(-18). Let t = u + -82. Solve t*x - 2 = 97*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-150))\/(14\/(-15)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17452220 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1)\/(4 + -12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/60 - x**4\/12 - x**3\/2 + 5*x**2. Let f(w) = 3. Let r(p) = -4. Let g(b) = -7*f(b) - 5*r(b). Calculate -g(l) + i(l).\nAnswer: l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 21\/9) + 6\/(-36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 448 = 8*t. Suppose -5*d + t = -a, -d = -3*a - 7 - 5. Solve d = -9*p + 6*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/98812 and -117\/2766736.\nAnswer: 2766736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - z**2 + 13*z - 4. Determine y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-15)\/(-4))\/((-3)\/(-8)) and 10\/4*(-112)\/(-35) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 262, 28, -458, -1280, -2522, -4268?\nAnswer: -6602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**6 - 105*u**5 + 11134*u**3 - 1142772*u**2 + 4*u.\nAnswer: 120*u**3 - 6300*u**2 + 66804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 197.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4816578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 5*u**3\/2 + u. Let d(a) = -3*a + 2. Let v = -51 + 56. Let n(g) = 8*g - 5. Let r(c) = v*d(c) + 2*n(c). Give f(r(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 19, -4\/5, 171, -2, -84?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 775874778 divided by 2162\nAnswer: 358869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*1)\/sqrt(12))**2*-2*4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 518451900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -16*q - 130. Let c = q - -32. Let x(v) = -v**3 + 6*v**2 + 6*v - 6. Let a be x(6). Calculate the greatest common divisor of a and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -5. Suppose 0 = 6*f - 2*f - 2*y - 24, 5*y + 5 = -f. Let u(q) = 1 + f*q - l*q - q. Calculate u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -349 - -348. Let b = -4.6 + 7.9. Let d = b + 1.7. What is the second biggest value in 4\/5, d, -0.5, a?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + o + 0*o)*(-20*o - 48 + 48) as k + q*o + m*o**2 and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 60*d**2 + 262*d - 388. Calculate x(64).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m + 1. Let x = -5.05 + 0.05. Let q = 46411\/11 + -4219. Which is the nearest to m? (a) x (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10035 + -10?\nAnswer: -10045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 478 = 7*b, n = 2*b - 236 + 777. Calculate the remainder when n is divided by 131.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Suppose 0 = 5*y - p*y - 40. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 6:34 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -12, -22, -46, -90, -160, -262, -402?\n\"Answer: -o**3 + 2*o**2 - o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 48451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -331003322?\nAnswer: -331003311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2 + y + 2. Give d(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8231.044 nanograms to milligrams.\nAnswer: 0.008231044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6083 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 55, 2\/11 in decreasing order.\nAnswer: 55, 2\/11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 194141 divided by -6?\nAnswer: -194141\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 - (-13 - (-17 + -14 + 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/17722384 and -83\/6.\nAnswer: 53167152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 11 - 1) + 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15941456 and 31160?\nAnswer: 79707280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7776*a**2 - 3*a. Let m(s) = 1436*s. Give m(p(w)).\nAnswer: -11166336*w**2 - 4308*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 49, 94 in decreasing order.\nAnswer: 94, 49, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 8*o + 12. Let k be a(6). Suppose 6*v - 9*v - 12 = k. Put 6, v, 0 in descending order.\nAnswer: 6, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o - 4*a = -32*o - 40, -4*a = 8. Calculate the greatest common divisor of o and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*k**3 - 26*k**3 + 9*k**3)*(-4 - 2 - 2) - 2*k**3 + k**3 + 2*k**3.\nAnswer: -255*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 63956*w - 895776.\nAnswer: 2*(w - 14)*(w + 31992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrsrssrrrsrrrrsrrsr. What is prob of picking 4 r?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 - -0.43. Put -2, -0.4, k in descending order.\nAnswer: k, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9492689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.6125951 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9*13\/416)\/((-36)\/8)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -35?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**6\/120 - y**3\/3 - 14*y**2. Suppose -4*c = 16, 4*o - 5*o - 5*c - 22 = 0. Give p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85322458 at least as big as 85322459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 550530.9m in micrometers?\nAnswer: 550530900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.0452*-4.\nAnswer: 24.1808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1031 - -1043. Let w = -135 - -237. Calculate the smallest common multiple of s and w.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(374)\/(sqrt(11) + (sqrt(110)\/sqrt(10) - sqrt(11))))\/sqrt(72).\nAnswer: -5 + sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s + 7. Let q(k) = -1795*k + 4860. Let c(n) = -3*f(n) + q(n). Differentiate c(m) with respect to m.\nAnswer: -1783","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) + 144\/(-63). Which is the closest to v? (a) 5 (b) -13 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 - 92. Solve -2*o - g + 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54939588, 54939581, 54939568, 54939549?\n\"Answer: -3*g**2 + 2*g + 54939589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = 5*u - 9*u. Let g = u - 5. Calculate the remainder when g is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56630\/101 or 560?\nAnswer: 56630\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -8649910.\nAnswer: -1\/1729982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 5. Suppose 4*v - 4*n + 6 = 42, 0 = 5*n + 20. Suppose v*x = 9*x + 8. Let p be a(x). Sort 28, p, -2 in descending order.\nAnswer: 28, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 66*n + 445. Let y(p) = -17*p - 1. Determine -r(b) - 4*y(b).\nAnswer: 2*b - 441","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117915 is divided by 6934.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -112, 5, 1, -2\/23, 0.02467?\nAnswer: 0.02467","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2257515 (base 8) to base 4.\nAnswer: 2111331031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12778 is divided by 956?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g - 6 = 0. Suppose -3 - g = -i. Let u = -8 - -8. Put i, 3, u in increasing order.\nAnswer: u, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.385339 micrograms?\nAnswer: 0.000000008385339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-3)\/((-12)\/8). Let k(p) = p**2 + 5*p - 8. What is the tens digit of k(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 24. Suppose 8 = 2*v - 18. Let p = a - v. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*k = 213*k + 111*k - 333 + 7131 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/129 - -2411\/645. Sort 4, -7\/5, 1, i in decreasing order.\nAnswer: 4, i, 1, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*y + x - 12, 4*y = 4*x + 32. Let n be 6\/(-6) + y\/2. Solve -2*o + 4 = 4*l, 4*l - 2*l = n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(2*d**2 - 6*d**2 + 2*d**2 + 2) + 1 + 3 + 5*d**2 - 3*d**2.\nAnswer: 4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 65 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16049, -32098, -48147, -64196?\n\"Answer: -16049*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-10) + (-64)\/(-20). Suppose -c*u = 3*p + 20399991, -33999994 = 7*u - 2*u + 2*p. What is u rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Let h = 58 - 31. Suppose -h = -m*w - w. What is the least common multiple of 10 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -463164, 4, 5\/6 in decreasing order.\nAnswer: 4, 5\/6, -463164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(42\/6))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 13*p + 16. Let w be m(14). What is the derivative of 1 - 6*c**2 + 0*c**4 - 15*c**4 + 6*c**2 - w*c**2 wrt c?\nAnswer: -60*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123.2215+254\nAnswer: 130.7785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (133 - 291 - 138)*(-1 + 1 + 6*d) as m + u*d and give u.\nAnswer: -1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 4:22 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from sahhhahcs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -922129 - 133?\nAnswer: -922261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975 is divided by 161.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (99\/15 - 2) + (-1 - 3). Let i = -10533\/4 + 2633. Which is the closest to -3\/71? (a) -5 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.5 - -62. Let p = 9.2 - h. Let d = p + -1.6999944. Round d to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -8265*b**2\/2 - 1608*b + 18 = 0.\nAnswer: -2\/5, 6\/551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 704300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*t = 88*t + 53*t + 1168 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 9*z - 7. Let p be m(-10). Solve 2*n - 10 = 3*v, -n = -p*n - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5583 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (448*n + 1182*n + 1524*n + 2169*n)*(-2 - 1 - 2)*(0 + 2 + 0) to the form t + v*n and give v.\nAnswer: -53230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 5:35 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.55 + -0.15. Let j = p - -4.7. Let q(o) = o**3 - 4*o**2 + 2*o + 4. Let u be q(3). Which is the closest to u? (a) j (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280\/(-16284) + 1336\/7682?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16 = -5*q. Suppose -s - q = -0*s. Let w(j) = 11*j + 1 - 22*j + 13*j. What is w(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 29 = 3*l, -5*l + 50 = -2*h + 11. What is the units digit of 4\/(-14) + (-9)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -15. What is the third biggest value in x, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 5 - 6) + -1 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 1\/4*g**2 - 4 + 1\/12*g**3 + 0*g. Factor n(s).\nAnswer: s*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 11*z**2 + 3*z - 11. Give i(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o - 1. Let j be p(1). Suppose 0 = -4*t - 0*f - f + 4, -j*t - 4*f + 16 = 0. Let 0*w + t*w**2 + 0 - 1\/3*w**3 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 4*y - 287. Let b be w(15). Let f(l) = -l**2 + 8*l - 7. Let q be f(6). Suppose -2 = -q*u + 8. Put b, -3, u in descending order.\nAnswer: u, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5430457, 5 in increasing order.\nAnswer: -1, 5, 5430457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 98. Find the common denominator of 65\/6 and 1\/(b\/62 + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 4*o + 14 = -5*j, 2*j + 20 = 4*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/5, 47?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -1. Let t = 6817.3 - 6817. Which is the nearest to -3\/10? (a) -2\/7 (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(684) + 3.\nAnswer: 5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 118*j - 633. Let g be u(-7). Solve -g + 151 = 8*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - r + 9. Suppose -j - 20 = -16*l + 21*l, 5*j - 4 = l. Determine b(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*v - 0*p + 105, 3*p - 6 = 0. Suppose 2*h - 52 = -4*f + 6*h, -2*f + 34 = -4*h. What is the remainder when v is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 11*v**2 - 10*v + 10. Let d be j(-10). Let t = 53 + -28. Calculate the greatest common divisor of d and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -20*a + 37. Let s(d) = 21*d - 37. Let r(w) = -3*n(w) - 2*s(w). Suppose -4*q - z + 91 - 24 = 0, 0 = -q + 3*z + 7. Is r(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78111353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -565394800 + 1.6.\nAnswer: -565394798.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155348*c**5 + 126409*c**2?\nAnswer: -9320880*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3771\/(-627) + 8\/76. Let c = 6 + w. Is 0 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {y: 3, r: 1, a: 1, k: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h + m + 18, 4*h = -m + 6. Is h smaller than 87\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5162729.\nAnswer: 11, 13, 79, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -23153?\nAnswer: 23158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 = 2*p, -4*m = -5*p - 57. Suppose 4*k - 5*b + 24 = -10*b, -2*k - 4*b = m. Let v = 7 - 5. What is the nearest to v in -4\/5, k, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (6 - -2) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 445 = 4*x, -30 = x + 5*l + 100. Let p = x + 107. Put p, 5, 0, -1 in increasing order.\nAnswer: -1, 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/65 - -237\/455. Let g = 537 + -537.4. Which is the nearest to -1? (a) 1 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293198123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 41889*c**2 - 160167168*c + 186132086784.\nAnswer: -3*(c - 8587)*(c - 2688)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*k + 429 = -469*k + 4953 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foco when four letters picked without replacement from goefefcgcocegeog?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:23 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 765\/8, -5, -32\/13 in increasing order.\nAnswer: -5, -32\/13, 765\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -c + 2. Suppose 3*b + 1 = -8. Put c, -2, b in ascending order.\nAnswer: b, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -59\/8, 0, -1, 0.1?\nAnswer: -59\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 14452054?\nAnswer: -14452042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1149 divide 983394630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10\/1477?\nAnswer: 10\/1477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 2515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*n**5 - 35*n**5 + 54*n**2 + 82*n**2 wrt n.\nAnswer: -960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.011 in 3\/2, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 - 2) + (-4 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -20*y**2. Let o(l) be the first derivative of 0*l + 34 + 0*l**2 + 1\/3*l**3. What is p(o(x))?\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1620\/(-288)*-2*192\/80\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 2:21 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0885868 and -970.\nAnswer: 85.929196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 576049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 9*b - 51. Let r be u(13). Solve -r + 0 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*v + 58 = 5*p, p - 14 = v. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*1 + -2 + (2 - -3). Let w(l) = l + 3. Let p be w(0). Suppose -440 = -r*u + p*u. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -10)*(-8 + 9\/(9 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2754512 to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250 divided by -2266.\nAnswer: 125\/1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(170) + (sqrt(170) - 1*sqrt(170)*4) - sqrt(170))*-5)\/((sqrt(10) - sqrt(30)\/sqrt(3))*-1 - sqrt(30)\/(sqrt(18)\/sqrt(6))) + 3.\nAnswer: -30*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**4\/3 - 5*a**3\/6 - 3*a**2. Let p be v(2). Let m = 14 - p. Solve -5 = -2*x + m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - -4. Suppose 7*g - 25 = 12*g, 0 = -4*c - 3*g + 1. Suppose c*i = 2*h + 4, -3 = 26*h - 21*h - 3*i. Solve 4*d - x = -h*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:28 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9770 - 9735. Solve b - 4*w + 21 = 0, -3*b - 5*w = -6*b - q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**2 - 15*q - 11. Suppose 12 = x - 3*x. Is m(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 13 + 52. Let b = -2 - -6. Suppose -m - 55 = -3*i, 2*i + m - s = -b*m. What is the highest common divisor of 8 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)*k)**(-3))**(-15\/2) assuming k is positive.\nAnswer: k**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**7\/2520 + l**6\/360 - l**5\/120 - l**4\/72 + 5*l**3\/72 + 21*l**2. Find r such that t(r) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0 - 3*g**2 + 0*g + 1\/24*g**4 + 4\/3*g**3. Let o be w(-7). Let u(f) = -9*f**2 + 1. Calculate u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/2, -637927, 5 in descending order.\nAnswer: 15\/2, 5, -637927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*u + 0*u**3 - 7 - 2*u**3 - 47*u to the form n*u + v + k*u**2 + p*u**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dii when three letters picked without replacement from {u: 2, v: 1, i: 2, d: 1, n: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 24226*f + 96936. Calculate v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 7691 = 3*r + 7686, -3*t + 15 = -3*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21443431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -108373.\nAnswer: -108371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 481 - -6?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqeqeeeeeeee. Give prob of picking 1 q and 1 e.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 781*r**6\/30 - r**5\/20 - r**4\/12 - 100*r**2 - 735*r. What is the third derivative of s(f) wrt f?\nAnswer: 18744*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 + 2058*j + 6147 = 0 for j.\nAnswer: -683, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2163.69941 to 1 decimal place.\nAnswer: -2163.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0, 2\/13, 35, -123?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3971953 and 22117?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -627, -939, -1249, -1557, -1863, -2167?\nAnswer: -2469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/80 and -59\/16808?\nAnswer: 168080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-275.4181.\nAnswer: 1101.6724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 8*z - 16. Let u be l(-7). Suppose w + 4*i = -i + 83, 3*i = -w + u. 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 the distance between -80 and -0.232?\nAnswer: 79.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Let v(j) = -2*j**2 - 3*j + 3*j**2 - p*j - 4 - j. Let w be v(7). Round w to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121989, -486988, -1095321, -1946988, -3041989?\n\"Answer: -121667*t**2 + 2*t - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 12:52 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 17352*j + 104174. What is o(-6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -185923 + 1276733243\/6867. Are z and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-173 + 58*o + 168 - 9*o)*(2*o + 2 - 2) in the form c*o + n*o**2 + a and give n.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 30*f + 60 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1607025681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**3 + 16*s - 17*s - 4*s**3 + (-5*s + s + 2*s)*(-2*s**2 + 2*s**2 - 2*s**2) - 2*s**3 - s**3 + s**3.\nAnswer: 5*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0312 - 0.0476.\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 4. Suppose 0 = 3*k - 3 + 9. What is the tens digit of 63\/6 + k\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (385306\/8)\/((-105)\/(-140)) + 6\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 6*g**2 + 2*g + 4. Suppose -r + x + 9 = 0, 0 = -7*x + 8*x + 4. Determine j(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69875?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 2667600*z**2 + 5335191*z + 2667594.\nAnswer: 3*(z + 1)**2*(z + 889198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(104) - (sqrt(104) + (sqrt(104) - -1*sqrt(104)))) + sqrt(104))\/sqrt(8))**2 - (4 + ((1*sqrt(13))**2 - sqrt(13)))*-1.\nAnswer: -5*sqrt(13) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*m - 30, 4*m - 27 = 546*u - 543*u. Let c(a) = -6*a - a**2 - 5*a + 7 + 2*a**2 + 3. Give c(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*p - 4. Suppose p*z - 11 = 33. Suppose -o - 1 = -z. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let f(a) = 2*a + 1. Let b be 7\/(210\/135) - 2\/4. Give b*x(g) + 3*f(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 59. Is s(21) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 - 24 = 0. Let d(v) = 11 - 6 + 12 - 2 + 7*v. Is d(k) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-3)\/4). Let x = -0.3 + -0.2. Let d be (-46)\/(-130) + (2 - 66\/30). Which is the closest to q? (a) x (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 915 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 21, -4*v = -3*v + 4*u - 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 10*p**2 + p + 12. Let k be n(-10). Let x = 24 + -19. Solve -a + 4 = k*a + x*c, 2*c + 4 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o + 0 + 0)*(0 + 2 - 1) + 0*o + 0*o + 4*o)*(-3 - 3 - 3 - 1).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341781 is divided by 537.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -69352 (base 11) to base 8\nAnswer: -303625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.241549214 to three decimal places.\nAnswer: -0.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-49)*3\/((-108)\/63)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) -5\/2 (c) -14 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**4\/8 - 7*x**3\/4 - 9*x**2\/2 + 3*x. Factor t(s).\nAnswer: -3*(s + 1)*(s + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) -0.5 (c) 1\/6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*b**6 + 839*b**5 + 2958*b**2?\nAnswer: -2400*b**3 + 50340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3*x - 4. Let n be h(3). Let k(w) = w**3 - 4. Let b(p) = -10 + 5 - 2 + 8. Determine n*b(o) - k(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9400196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 14 + 2 = 0. Let u be 4\/g*1*-26. Let d = 14 + u. What is the greatest common factor of 243 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 80 + 219)*(-5*w**3 + 5*w**3 + 15*w**3).\nAnswer: 3960*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 - 8. Let m be ((-5)\/(-45)*15)\/((-2)\/(-18)). Let v = 15 - m. Determine j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from ihzmh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 plus 3284?\nAnswer: 3284.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 552 = 492. Let g = -86 + a. Suppose 0*f - 443 = -3*f + 5*k, -2*f - 5*k + g = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 22*y**2 + 68*y - 84. Let u be q(7). Determine r, given that -4\/7*r**3 + 2\/7*r**4 + 2\/7*r**5 + 0*r + 0 + u*r**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1902.8029 plus -11206.2?\nAnswer: -13109.0029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50062 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488859 is divided by 16360?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:31 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.1 - 37. What is the closest to v in 0, 3, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 2*q + 2*q - 7 + 1. Calculate z(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 5, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2786\/5 + -559. Suppose 0*y = -2*y - h - 7, 0 = y - 3*h - 14. Are p and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62, -42, -8, 40, 102, 178, 268?\n\"Answer: 7*m**2 - m - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 q when three letters picked without replacement from {q: 8, d: 2, k: 7, v: 3}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3152.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7) - (-145)\/(-203)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -180870000 to the nearest one million.\nAnswer: -181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12292.\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*z + 12*z - 52 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, k: 4, a: 1, n: 3, j: 4, y: 1}. What is prob of picking 1 a, 1 k, 1 j, and 1 n?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lddl when four letters picked without replacement from {l: 4, n: 7, d: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -154*d**3*y**3 - 3*d**3 + 847*y**3 wrt d.\nAnswer: -462*d**2*y**3 - 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 4*l**2 + 5*l - 6. Let z(n) = -n**3 + 3*n**2 - 6*n + 6. Let j(q) = -5*i(q) - 4*z(q). Let g be (-105)\/280 - 1943\/(-232). Determine j(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22404*p - 977851 = -350539 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvrvfrrvrvvvvrvvr.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14413 rounded to the nearest one hundred?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -24?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 0*y + 2*y + (1 - 4*y - 1)*(3 + 0 - 4) + (3*y - 3*y - 2*y)*(3 + 1 - 3).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -569177301.7 rounded to the nearest 1000000?\nAnswer: -569000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3160 and 240125240?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 177122601 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j + 4960. Let q(i) = -7*i + 9918. Let x(y) = -5*k(y) + 3*q(y). Let b be x(0). Suppose c = 3*t - 7438, 4*c + 0*c = -2*t + b. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*a - 2*x, 2*a + 7*x = 8*x - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 3*c - 2*c + (3 + 2 - 4)*(c - 3 + 3) + c - 3 + 3 - c + 0 + 0)*(-1 - 1 + 4) - 24350*c + 3757 - 24350*c + 48702*c as h + b*c and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 8. Let x be w(-9). Let o be -4 - (-11 - x)\/2. Suppose -20 = -5*k, 5*u + 2*k - 30 + 12 = 0. Put -4, u, 3, o in decreasing order.\nAnswer: 3, u, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 195\/495 - 2\/(-6). Solve 2\/11*a**4 - 8\/11*a**3 + 2\/11 + 12\/11*a**2 - b*a = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -558 divided by 558.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19084 - 18760. Solve -3*c - u = 33*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 2*a - a)*(-2 + 2*a + 2)*(6206 + 11790 + 8909 + 13429 + 1534) to the form o*a**2 + x*a + m and give o.\nAnswer: -167472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149518 + 12682 = -2*d. What is d rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 3. What is the second smallest value in -0.5, -1\/3, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*w - 9650, 2*z + 162 - 2099 = -w. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -6*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 74 = 4*b - o, -130 = -5*b + 5*o. Let s = 24 - b. Let m = -135\/2 - -70. Which is bigger: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhhuuhhvthhch. What is prob of picking 1 l, 1 u, 1 v, and 1 t?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 13392640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2663672.\nAnswer: 2, 11, 30269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281, 1130, 2555, 4562, 7157, 10346?\nAnswer: 14135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u + 487*u = -1853 - 4927 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16\/29120*14*10\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 46 = -0*t. Let j be 1541\/(-69) - 1\/(-3). Is t at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*g + 6 + 1, 2*k = -3*g - 19. Calculate the least common multiple of 6 and (1\/k)\/(6\/(-144)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-10))\/(32\/(-240)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*k + 51, 2*o + 2*k = -3*o + 58. Suppose 1128 + 2724 = o*r. List the prime factors of r.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2088)\/(-1566) - (-3)\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h + 29. Let f be c(3). Let j(q) be the first derivative of -3\/14*q**4 - 2\/7*q**3 - 2 - 1\/7*q**2 + 0*q - 2\/35*q**f. Solve j(z) = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12441733 by 2.\nAnswer: 12441733\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023677755 to 6 decimal places.\nAnswer: 0.000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(2\/11)\/x*(x\/x**(-6))\/x)**(-37))**(-40))**(-2\/19) assuming x is positive.\nAnswer: x**(-201280\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/33*(-6)\/4. Which is smaller: 2\/115 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-4 - (1 + -4)). Suppose 3*n = s*x - 3, x + 1 = 5*n + 2. Let -8\/3*c**2 + n + 4\/3*c**3 + 4\/3*c = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/((-136)\/(-16))*1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 4. Let d(w) be the first derivative of w**5\/120 - w**4\/24 + w**3\/3 + 6. Let o(t) be the third derivative of d(t). Give o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0*k + 25*k**2 - 19\/3*k**3 - 3\/10*k**5 + 1\/8*k**4 + 1\/120*k**6 + 0. What is the remainder when 27 is divided by y(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4*100\/(-5). Suppose -v - 10 = -3*l, -r*l - v + 20 = -2*l. Solve l*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/971 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 8*m**2 - 2*m + 9. Calculate g(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 6 = -4*b. Let z be 2 + -1 - 16\/b. What is the closest to -1 in z, 1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.74.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 7:57 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3690*u - 55325. What is y(15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2138, -7931, -17560, -31025, -48326, -69463?\nAnswer: -94436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1174878 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1607421 is divided by 66975.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009284 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 1669 = -150. What is the first derivative of -59 - 40 - j - 13 + 178*j + k*j wrt j?\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**3 - 9 + 9 + (-3*v**2 + 6*v**2 - v**2)*(2*v - 5*v + 2*v) - 2*v**3 + 2 - 2 - 4*v**3 + 3*v**3 - 2*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/20 and 3\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-156 - 34)*(186\/(-15))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1862 rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u. Let d(x) = -8*x + 1. Suppose -5*n - 20 - 10 = 0. Calculate n*q(s) + 2*d(s).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + f - 1. Let r(k) = k**3 - 6*k**2 - k + 5. Let m be r(6). Let i(a) = -4*a**3 - 3*a**2 - 6*a + 8. Give m*i(j) - 6*c(j).\nAnswer: -2*j**3 + 3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 276, -34702, -5 in increasing order.\nAnswer: -34702, -5, 0, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*s - 1973 = 0, 9*o + s = 8*o + 395. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/3 + i**2 - 4*i + 2. Let q be x(-4). Solve 5*y**3 - q*y**3 - 3*y + 2*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from ugugssuu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3107187 = -k, -8*v + 6214395 = -4*v + k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 1)*(19*h + 6 - 6) + 0 + 0 - h - 3*h - 2*h - 3*h.\nAnswer: -85*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-25))\/((-1)\/(-2) + (-111)\/210).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 11:14 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(11) - (sqrt(11) + sqrt(11)*2)*-4) - (sqrt(132)\/(sqrt(12)*1) - (sqrt(44) - (-1 + sqrt(44) - sqrt(44)) - sqrt(11))).\nAnswer: 1 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 687*k - 5127 - 38278 = 6397 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133010333 + -12201?\nAnswer: -133023200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/871 and -21\/13?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3704, -7405, -11106, -14807, -18508?\nAnswer: -22209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 1 + 1)*(1 + 6 - 1) + 0 + 0 - r - 5*r + 3*r + 4*r + (2 - 2 + 2*r)*(2 - 2 + 1) in the form f + d*r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13 - 467*j + j**3 + 1044*j**5 - 988*j**5 + 70*j**4 + 153*j wrt j.\nAnswer: 1120*j**3 + 840*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20980\/27 - 778. Let t = y + -1109\/54. Find the common denominator of 107\/6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7955*n + 127257. Give y(-16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 537802479 to the nearest integer?\nAnswer: 23191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 0. Let w(z) = 6*z + 7. Let i(p) = -p - 1. Let b(c) = d*i(c) - w(c). What is b(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1007.02105 - 1007. Round b to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32915 and 9995945?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -8, -77, -216, -449?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110130013230 (base 4) to base 5\nAnswer: 2332424220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48360\/(-6510) + 4545\/609.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.285 + -58?\nAnswer: -57.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 149*o + 1368. Calculate the remainder when 423 is divided by m(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39159 and 513?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 339 and 703199.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Suppose -3*w - u = -w. What is the remainder when 32 is divided by 10\/1 + (-2)\/w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16717.77864 + 65.\nAnswer: -16652.77864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6674462 divided by 290194\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1222 + -1225. Which is the second biggest value? (a) -0.06 (b) s (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.99, -1, 2\/7 in decreasing order.\nAnswer: 0.99, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/7, 2, 5 in decreasing order.\nAnswer: 5, 2, 1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 6:49 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 35 = 4*g + 2*d, 2*g - 2*d = 14. Suppose -2*r - z - 68 = 0, -3*r - 84 - g = -z. Is 11 a factor of 45\/(-60)*r*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 609 + -599. Solve 14 = 4*y + 4*q - h, q = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 974 + -973.99002. Round i to 4 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca13c3 (base 14) in base 5?\nAnswer: -3222412201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0082048876 rounded to 5 dps?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -22211, -81485, -196917, -387227, -671135?\nAnswer: -1067361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/25*67\/(5628\/70))\/((-1)\/42)\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -0.44. Suppose 0*i + 8 = 4*i. Suppose 9 = i*d - 3*w - 3, -2*d + 4*w + 14 = 0. Sort -3, k, d in decreasing order.\nAnswer: d, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12\/443 + -8657\/8860. What is the common denominator of 1\/4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 605359706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 10*x + 4. Let h be c(10). Suppose 7*l = h*l. Suppose l*j - 4*j = -332. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/9951 and -76\/1437.\nAnswer: 4766529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -278 and -0.022.\nAnswer: -278.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060777281.\nAnswer: 3, 421, 839887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 558 - 758. Let f = -190 - o. Solve -f = -3*w + 3*i - i, -3*i - 15 = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 1792?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 331959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253746 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -2, 0, -5, -1095 in descending order.\nAnswer: 14, 4, 0, -2, -5, -1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 + 185. Suppose -q*c + 10 = -39*c. Solve 3*z - 5 = -c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100614 and 522702?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -10, -10 = 3*m + 5*f + 4. Let r be (735\/(-98))\/(3 - -3). Let a be -1 - (-3)\/(-9) - -1. What is the closest to a in m, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + (-270)\/(-20))*56\/(-5). What is the fourth biggest value in 1\/5, 3\/5, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let b = -21 + 21. Sort d, b, -3\/4.\nAnswer: -3\/4, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52401 - 0?\nAnswer: 52401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35870 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = 2*l, 3*l = 5*c - 11 - 13. Let u(k) = k**3 - 2*k**2 + 1. Does 3 divide u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 7*x. Let r be ((-14)\/8)\/(1\/(-4)). Let s be q(r). Suppose 19 = b + f, -5*b - 2*f + 95 = -s*f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 + 17*r**2 - 1 - 11*r**2 + 2*r - r**3. Let b be v(2). Let k be 6 - (-1*1 - -1). Calculate the highest common factor of k and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 97 = v + 101, -3*v = 2*u - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(180\/44 - 4) + 4. Suppose -12*w + h = -839. Let z = -76 + w. Solve j = 3*x + 3 + 3, 4*x = 5*j - z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13 = -b, 2*g - b - 4*b = -4. Suppose -g*q = -q. Let y be q\/(-2) - 8\/14. Is -1 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-176))\/((375\/12)\/(-25)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6283941935 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcs when three letters picked without replacement from {r: 1, p: 1, q: 5, s: 8, c: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 159170 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.71 - 1.04. Let m = -12.67 + o. Let k = m + 13.0000132. Round k to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y - 1. Suppose -o = -2*t - y, 4*o - 2 = 3*t + 8. Is (o - 2\/(-4))*18 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**5\/60 - 21*p**2. Suppose -16*n - 28 = -18*n. Let s(j) = -n*j**2 - 15*j**2 + 27*j**2. Calculate s(g(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*w + 263*w - 836*w + 260*w.\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 117 = -6*l. Let t = l - -77. What is the highest common divisor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 + 22*l**2 - 135 + l to o*l + h*l**2 + k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1010000?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244241 (base 6) to base 8.\nAnswer: -205401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73348*u - 2*q = -73352*u - 26, 2*q = -6*u - 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/13 + ((-4)\/286 - 46506\/3289).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7473?\nAnswer: 3, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8*g = 4. Let c(v) = v. Let n(x) = 6*x**2 - 15*x + 18. Let u(d) = g*n(d) - 15*c(d). Differentiate u(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -5 + 3 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.4 and 820 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(0 - -1) - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 - 2*m**4 + m**4 + (-9*m**3 + 0*m**3 + 18*m**3)*(3 - 2*m - 3).\nAnswer: -19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*-1*(-2)\/(-5). Let p be ((-1)\/d + 0)*4. Let q(u) = 54*u**2 - 4*u + 3. Is q(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.139 - 15.819. Which is smaller: -16 or y?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21, 20, 19, 18, 17?\n\"Answer: -x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4759*l + 4761*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704.9067 nanograms in tonnes?\nAnswer: 0.0000000000007049067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.054 and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + d = 66, -3*d + d + 48 = 4*k. Suppose -m + 3*p - k = 0, 0 = -5*p + 6 + 4. List the prime factors of (-2)\/m + (-188)\/(-16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 0.615971808?\nAnswer: 0.215971808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -1. Let l be -717 + (9 - 4) + (0 - 4). Let k be l\/(-359) - ((4 - 1) + -1). Is k less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 94 = 4*v, 4*v - 5*g = 102 + 1. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-8*(-5)\/20). Let r(d) = -6*d**3 + 5*d**2 - 5*d + 5. Let h(j) = 5*j**3 - 4*j**2 + 4*j - 4. What is l*h(q) - 4*r(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 56.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 4:04 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1922*i**3\/5 - 99543542*i**2\/5 - 26973618*i - 45681426\/5.\nAnswer: 2*(i - 51793)*(31*i + 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1252?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37381 is divided by 12445.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -6431 and -6853 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(19)*5*-1)**2 + (1*sqrt(38)\/sqrt(2))**2 + -2*sqrt(1539) + sqrt(1539) + sqrt(1539))*-2.\nAnswer: -8588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/13, 4, -2, -22?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 50 = j. Let y = -14 + j. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3 - 1 + 2*m**2 - 1. Let d(x) = 2*x**3 - 5*x**2 + 1. Let p(y) = -3*y**3 + 5*y**2 - 2. Let t(f) = -4*d(f) - 3*p(f). What is -2*t(h) + 5*v(h)?\nAnswer: -2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2220 - -7?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/379197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 0, -9 = 3*r + 11*c - 13*c - 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(-23)*(k\/k**(-2))\/((k\/(k\/k**(-2\/11)))\/k)*(k**3*k\/(k**3*k*k))**(-41) assuming k is positive.\nAnswer: k**(1238\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2*s + 8)*(26*s**4 + 39*s**2 - 39*s**2) + 2*s**4 + 0*s**4 + 3*s**5 - 2*s**5 + (s**2 + 2*s**3 - s**2)*(0*s**2 - 4*s**2 + 6*s**2).\nAnswer: 57*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -220*-34*8\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/((-72380)\/(-112))*10\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 6 - 1 + 0*w + 4*w - 3. Let j be b(-6). Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-19)\/(76\/(-7704)) - 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2\/7 - 1165174*h\/7 = 0.\nAnswer: -582587, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5988 + -3.4012. What is the fourth smallest value in 4, -45\/2, -0.5, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1840 by -10.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129175 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 57, 89, 135?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18*(-6 + 377\/78). Solve -3*z - 4*h = -6*z + 1, 4*h + j = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u**2. Let b(w) = -w**2. Let s(v) = 9*v + 269. Let o be s(-30). Calculate o*m(n) + 6*b(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**2. Let b(w) = -1657401*w. What is b(l(o))?\nAnswer: -13259208*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xptxxmpxtxmtxmtppx. Give prob of sequence xtmm.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-2))\/((-14)\/7*(-16)\/(-64))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30201 (base 8) to base 2.\nAnswer: 11000010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + (-334712)\/1634 + 116?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9225 + 9230. What is the smallest value in 3, -1\/356, b?\nAnswer: -1\/356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.12, -1\/3, -0.2, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d + -4fe?\nAnswer: -4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5 = -29. Let j(u) be the first derivative of u**3\/3 + u**2\/2 + 11*u + 5. Is j(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*p - 105, 3*p = p. Let l be d\/45*(-2)\/(-7). Which is the third smallest value? (a) l (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4\/3 - 6*j**3 - 37*j**2\/3 + 132*j - 484\/3 = 0?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 3*h - 16, 853 - 859 = -5*v + h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {g: 1, d: 1, u: 5, s: 7, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 + -52 + -16 - (2 - -3)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -24506*a - 857683. Determine w(-35).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*p + 15, -q = -53*p + 49*p - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -90763 (base 13) to base 6\nAnswer: -5311521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.26614 millilitres to litres.\nAnswer: 0.08126614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 34*q**2 + 33*q + 85. Let g be v(35). Suppose -d = -2*h + 1, 0 = 15*h - 18*h - 3*d + g. What is the remainder when 7 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1011000?\nAnswer: -1010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 13 = -8*q + 9*q, -14916*b - 11*q - 47 = -14914*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/126 and -79\/2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 28 - 57 = -8054*f + 8057*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 10. Let o be 9\/6*4\/3. Let l(j) = 2*j - o - 4*j**2 + 2*j**2 + 3*j**2. What is l(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -4, 16, -25, -5.\nAnswer: -25, -5, -4, -2, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 + -187. What is the greatest common divisor of m and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2 (c) 22\/5 (d) -6980\/11 (e) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -229, 1.2, -0.3?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 34*g + 8. What is m(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20743.\nAnswer: 20743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 9*g**2 + 10*g + 7. Let j be z(10). What is the highest common divisor of j and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -431, -428, -425?\n\"Answer: 3*a - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 - 2*j + 3*j - 2 + 3*j - 2*j + j**3. Let t be i(5). Suppose -2*s + 2 = -4. Solve -t = s*f + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)*(i*i**13)\/i)\/(i**(-10\/11)*i*i\/(i*i**(3\/19))) assuming i is positive.\nAnswer: i**(2769\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*d = 16, -12 = -3*q - 0*q + 3*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(sqrt(156) - (sqrt(156) + 1*sqrt(156) - sqrt(156)) - sqrt(156)) - -3*-3*sqrt(156)))\/((sqrt(180)\/sqrt(48))\/((sqrt(55) - 2*sqrt(55))\/sqrt(11))).\nAnswer: -220*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -24*j**3 - 175*j**2 + 172*j + 2. What is y(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1680590\/(-5435274) - 8\/(-102).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 + 15 = 0. Suppose 8*v = 3*v - f + 38, -v + 14 = -q*f. What is the remainder when v is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 103527699732 - 103527699732.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*f = -0*z + 3, -f + 1 = 3*z. Let b be 13\/40 + (-1)\/5. Sort -5, b, z in decreasing order.\nAnswer: z, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 289086*h**2 - 507952 wrt h?\nAnswer: 578172*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 + 3*c + 6. Is z(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209\/2 - -102. Find the common denominator of -5\/8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**15*q**(-2\/27)\/q)**40 assuming q is positive.\nAnswer: q**(16120\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 181*y - 186*y + 25. Find the third derivative of u - 17*u**6 + 35*u**2 - y*u**5 + 38*u**6 - 34*u**6 wrt u.\nAnswer: -1560*u**3 - 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239582?\nAnswer: 2, 7, 109, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0*r**5 - 9\/2*r**2 + 0*r**6 + 3*r + 5\/6*r**3 + 51 - 53\/42*r**7 + 0*r**4. Find the second derivative of f(o) wrt o.\nAnswer: -1060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 267\nAnswer: 2\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u**2 + u + 94. Let y be x(0). Suppose 0 = 5*k - 3*k + 5*t - y, -3*k - 3*t + 123 = 0. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 17, m: 1}. What is prob of picking 2 j?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/378)\/((-4)\/((-196)\/(-21)))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*h**4 + 2*h + 5 - 3*h + 205*h**4 + 2*h**3 - 10*h**2 in the form y*h**3 + t*h**4 + m*h**2 + p*h + b and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 16252216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let f(y) = -6*y**2 - 13*y**2 + 17*y**2 - 24. Determine f(o(z)).\nAnswer: -2*z**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1410688 - 2996.\nAnswer: -1413684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54.682 + 0.688. Let c = -56 + l. Let y = c + 0.741. What is y rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:23 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*3*(-3 + 6*(sqrt(637) + -2)*-1) + 4.\nAnswer: -644 + 3024*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14098 + 14195. What is the remainder when 236 is divided by g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -22. Let c = o - -13. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 20. Suppose -a + 58 = 4*p - 0*p, -5*p = a - 72. Is z(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 9:13 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 3. Let k = 24 + -11. Suppose 5*w - 5 = 4*q + q, -w - 5*q = -k. Let o be p(w). Let m(r) = -r**3 + r**2 + 4*r - 4. Calculate m(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 31*f - 183. Let j be ((14\/(-3))\/7)\/((-2)\/f). Let r = 10 - 3. Solve j*s = -r + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/34*(1001\/572)\/(7\/8)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*a - 35 = -105, 41 = 2*l + 5*a. Let z be -2*l\/(-12) - (-3 + 2). Solve -20 = -5*m, 2*s - 5*m + 30 - z = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, -53, -169, -393, -761, -1309?\n\"Answer: -6*l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t - 1\/2*t**2 - 150. Let b(g) = 2*g + 8. Let r(c) = -3*c - 9. Let d(w) = 4*b(w) + 3*r(w). Give d(z) - 2*s(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/11*936\/1560?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 28 = -144. Let m = r + -142\/5. Is 2\/3 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 69, -29, -215, -519?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2722251 and 54?\nAnswer: 49000518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3739 - -3744. Sort 0.1, o, 1\/2, 0.2, 4 in decreasing order.\nAnswer: o, 4, 1\/2, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 25*j**2. Let h(u) = 5*u. Determine t(h(x)).\nAnswer: 625*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z - 24. Suppose b + 1 = 8. Let q be c(b). Solve 4*h = 2*f - 18, 0 = -q*h - 0*h - 5*f - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 19803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -614973.1471 rounded to the nearest 100?\nAnswer: -615000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 25*x - 155. Let i(k) = 8542*k. Give i(r(t)).\nAnswer: 213550*t - 1324010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -t - 8 + 10, -2*t + 8 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3447579395 divided by 5.\nAnswer: -689515879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Suppose -n*f - 5*o = -27, 0 = 2*f - f - o + 4. Let l = -5447\/15 + 363. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s**2 + 171*s - 17. Calculate the remainder when 1221 is divided by q(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*n + 13 + 8, x = 2*n + 8. Let v = 40.5 + -40. Let s = 193 - 1347\/7. What is the second biggest value in s, x, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171432 (base 8) in base 3?\nAnswer: 10011100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 406 = 2*w, 404 = 4*r + 2*w - 1238. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(1\/28)\/h))*h**(-2\/23))**(-12) assuming h is positive.\nAnswer: h**(2031\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuquuu. Give prob of picking 3 u.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*y + 10, -7 = 2*y - y - c. List the prime factors of (-21)\/3*(0 + y).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ssrrsss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16773272 divided by 15.\nAnswer: -16773272\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 252543712 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*sqrt(2)*-1.\nAnswer: -5*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12221000 - 2111202020?\nAnswer: -2021211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7340427672559+-44\nAnswer: -7340427672603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 - 91. Suppose 4*c - 600 = -5*k, 360 = t*k + k + 4*c. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0*(-13)\/(-143).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**13)))\/(((o*o**(15\/8)\/o)\/o)\/o)*(o*o**(-14)*o*o)\/o**18 assuming o is positive.\nAnswer: o**(-119\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69086203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -2 (b) 1 (c) 5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.041 smaller than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1067430 divided by 255.\nAnswer: 4186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -789\/2854?\nAnswer: -789\/2854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weed when four letters picked without replacement from endnewddeeenee.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:25 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l + 7. Let s be f(2). Let x(o) = -o**3 + o**2 - o + 1. Let r(d) = d**2 - 1. Let c be r(1). Let u be x(c). Sort s, -4, u in increasing order.\nAnswer: -4, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 + 59*s\/7 - 186\/7.\nAnswer: (s - 3)*(s + 62)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -39*r**2 - 2*r. Let d(s) = s**2 - 12*s + 23. Suppose 72 = 6*c + 12. Let b be d(c). Let x(v) = -b*v + 4*v + 0*v + 0*v. Determine h(x(g)).\nAnswer: -39*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1319 = -17*l + 325 + 39. Calculate the remainder when 8115 is divided by l.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4*u - 5. Determine y(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 123. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 3 + 0*d**3 - 5 + (2*d**3 - 5*d**3 + 2*d**3)*(0 - 3 + 2) to the form c*d**3 + n + f*d + t*d**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6*-21)\/2. Let f = 9 + z. Solve 5*s - 35 = 4*l - 9*l, 3*s = -f*l + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40990, -81978, -122966, -163954, -204942, -245930?\nAnswer: -286918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256 and 128?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -185, -396, -693, -1082, -1569?\nAnswer: -2160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 + 248. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**4 - x**5 + 4*x**4)*(2 + 2 - 19) + 6*x**5 - 2*x**5 + 0*x**5.\nAnswer: 19*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 3387*i + 3386.\nAnswer: (i + 1)*(i + 3386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1923\/14 - 741\/7. Find the common denominator of v and 107\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let t(q) be the third derivative of -q**4\/8 + 7*q**2. Give l(t(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3506*-0.217.\nAnswer: 0.0760802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 180 = -4*a, 4*l - 126248 = -a - 126275 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. Suppose 4*q + 4*h - 24 = c, -4*q + 2*h = q - 37. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*n - 48, 2*w + 7 = -5*n - 105. Is 4*(-9)\/(-12) - n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**3\/6 - 7*c**2\/2 + 2*c. Let q(s) be the first derivative of -s**2\/2 - 2*s - 3. Let r be q(2). Calculate w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4300449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:04 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {v: 1, d: 5, r: 7, n: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033609437 to 5 dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u. Let d = 13 + -8. Solve -r - l = -8, l - 28 = -d*r - u*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.3 (c) -177\/2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/2)*t\/((t*t**(-1\/5))\/t)*t)\/((t*t*t\/t**(-2\/3)*t*t*t*t*t)\/t*t)**(-13) assuming t is positive.\nAnswer: t**(3491\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4)\/(p\/(p**(1\/18)\/p)*p))**(4\/9))**(-8\/3) assuming p is positive.\nAnswer: p**(632\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 780 divided by -5\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 197*t - 122*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1916 + 1906.81. Let w = -37.9 - g. Let c = -0.21 - w. Round c to zero dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-14)\/(-49) - (-1)\/((-42)\/(-12))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.731 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-190)\/(3\/(27\/(-6))). Let f = m - 105. What is the tens digit of (0 - -2) + f\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 3*z**2 - 990. Let x(g) = 614*g. What is x(c(v))?\nAnswer: 3684*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k - 2 + 2)*(0 - 2 + 0 + (0 - 2 + 4)*(-1 - 3 - 7)*(-4 + 3 + 2)).\nAnswer: 120*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*r + 4*s - 9*s, -20 = 4*r - 5*s. Let p = 669 + -664. Solve r = i - p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26, 36, 42, 44, 42, 36?\n\"Answer: -2*o**2 + 16*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3416\/9*n + 729316\/9 + 4\/9*n**2 = 0.\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 2. Let c be z(-2). Let x = 75 - c. Calculate the greatest common divisor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.67 - -28.67. Let f = o - 26. Let a be 1 + 1 + (-24)\/10. Put 1\/2, f, a in ascending order.\nAnswer: a, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*-1 - (sqrt(187) + -2*sqrt(187)*6))\/(sqrt(176) - sqrt(176)*-2 - -1*sqrt(55)\/sqrt(5)).\nAnswer: 9*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 3*h + 5, -h - 5*m + 1 = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a25 + 7a?\nAnswer: aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1417)\/436)\/((-2)\/1384).\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4383877 (base 9) in base 8?\nAnswer: 10776040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75586 is divided by 734?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - (3 + (-2 - (10 + (11 - 13))) + 13)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 - -336. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 508*n + 13197. Give p(32).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - sqrt(78)*-2*1) + sqrt(78))\/(sqrt(294) + sqrt(294)*2) + -5.\nAnswer: -5 + 4*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(33) - 3*sqrt(33)*-1))\/(-6*sqrt(3)*2).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) -4\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -232 + 228. Let x(f) = 2*f**2 + 4*f - 5. Give x(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35714*b**4 - b**2 + 3952.\nAnswer: -857136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -2. Calculate the greatest common factor of k and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, u: 4, e: 4}. What is prob of sequence eu?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111.49777 and -1.8.\nAnswer: -200.695986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2809939, -5619862, -8429783, -11239702, -14049619?\nAnswer: -16859534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1706 - 2957. Let q = -770 - l. Let g = q - 279. List the prime factors of g.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = 0. Let h be 1 - (q - -2 - -1). Let z = h + -1. Let b(w) = 4*w + 4. Give b(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2. Let k(q) be the first derivative of q**3\/3 - 2*q + 1. Let y(z) be the first derivative of k(z). Determine w(y(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 223? (a) 2\/7 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 3 + -1 + 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2750.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388745 minus -2.34851?\nAnswer: 388747.34851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -165178628*-2.\nAnswer: 330357256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1904 = 4*c, -3*c - 5*h = -299 - 1131. List the prime factors of c.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/4 - 19623*y\/4 - 302715\/2.\nAnswer: -3*(y + 31)*(y + 6510)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*c - 114*c + 24 + 56*c + 44 + 1.\nAnswer: c + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 15135488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-15))\/((-561)\/187*14\/(-18)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 433875 and 1125?\nAnswer: 1301625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(45)*-2 + 2 + sqrt(15)\/sqrt(3))**2 + ((sqrt(20)\/sqrt(4) + 3)**2 - sqrt(45)\/sqrt(81)).\nAnswer: -7*sqrt(5)\/3 + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13702 is divided by 2283.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 127, 218, 311, 406?\n\"Answer: f**2 + 86*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11250997 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 99?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4*n = 0. Let r = 40 + -36. Sort 3, n, r in decreasing order.\nAnswer: r, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-4\/5))\/b*b**(-1\/5)*b**(-2\/9)\/((b*b*b*b\/(b*b**11)*b*b)\/b) assuming b is positive.\nAnswer: b**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1417d3 + -8?\nAnswer: -1417db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(2*(-20)\/16). Solve 0*i - t*x = 3*i - 17, -4*x = -4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*g - 19 = 0, -24*g + 25*g = 4*t - 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529411406.\nAnswer: 2, 3, 254901901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -49\/5, -3013, -0.5?\nAnswer: -3013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {l: 6, u: 1, g: 3, c: 6, t: 1}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 87\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 44657*i - 100 + 44657*i.\nAnswer: 2*i**2 - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 10. Let q be v(7). Let g = q - -2. Suppose 0 = -3*c + g + 19. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -29*f - 20. Let l be j(-2). What is the greatest common factor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*j + 30, -3*j - 25 = -10. Let m be (-31)\/y - 2\/10. What is the third derivative of 3*l**6 + l**m + 3*l - 3*l + 2*l**2 wrt l?\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-428.2\nAnswer: 1284.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 875*w**2 + 8 - 6.\nAnswer: 875*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 3312645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*t - 83*t = 2*q + 76, -14*t - 66 = 4*q + 86 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*s, -1143*s + 40 = -3*l - 1139*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.203\nAnswer: -1.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3488070 and -44\/2441649?\nAnswer: 24416490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288 * -3.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6643881 and 438540.\nAnswer: 132877620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13161700 rounded to the nearest 10000?\nAnswer: 13160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 4*v - 294 + 322, -3*v - 23 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 24*o**2 + 8*o + 6. Let i be a(-7). Is 4\/(-6) - i\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**2 + u**2 - 2*u**2 + 18*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1418*j**2 + 1341*j**2 - 4 + 0.\nAnswer: -77*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*o - o. Suppose j = -w + o, -2*j + 27 = 3*j + 2*w. Solve 2*d = -z - 14, -4*z + j*z + 7 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 j when three letters picked without replacement from ujjuuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -657 smaller than -1267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b**2 - 3*b)*(-2 - 1 + 1) + (-1 + 1 + 2*b**2)*(0 + 0 - 1) - 2*b**2 + 0*b**2 + 0*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10*v*v*v)**(-23) assuming v is positive.\nAnswer: v**(-299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16 = 2*p, -21*p + 19*p + 2*n + 12 = 0. What is the second derivative of -213*h + 3*h - 11*h**2 - 7*h**3 + p*h**2 + 10*h**3 wrt h?\nAnswer: 18*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3176, 2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2800 is divided by 1360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10555 - 2457?\nAnswer: -13234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3.8. Let g = -3934\/3 + 1312. What is the nearest to -1\/4 in t, g, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a*p*z**2 - 113*a*z**2 + 2*a - 2*p*z**2 - 36*p - 3*z**2 wrt a?\nAnswer: -3*p*z**2 - 113*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125.6 + -32.5.\nAnswer: -158.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 4. Let h be j\/42*(-28)\/(-2). Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(-10 - 2*p**2 + 10)*(5*p**3 + 0*p**3 - 3*p**3).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - 0. Let v = -0.6 - i. Let a = -0.9 - 0.1. What is the third smallest value in v, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3210 + 437?\nAnswer: -2995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = 0, 0 = 6*n - n + 4*l - 8. Let b(y) = -7 - 5*y + 14*y - 1 - y**2. Let m be b(8). Solve -4*z - 5*w - 6 = 6, m = -n*z + w - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 16*l + 26. Give g(7).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c - 51280. Let v = c - 230669\/18. Find the common denominator of v and (-4)\/(-120)*1250\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**3 + j. Let z be r(-1). Let w = z + 18. Suppose -w*b - 9 = 23. Put b, 2, -3 in decreasing order.\nAnswer: 2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21848952 a multiple of 1031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 240.055\nAnswer: 960.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11883680174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*y + 404, -2*y - 4*i + 82 = -120. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161488289.613 - 4.9\nAnswer: -161488294.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 92 (b) 1\/6 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*d + 12 = -3*d, 0 = -5*k - 4*d - 16. Suppose 4*x - 5*x = k. Suppose 2*v - 2*c = 16, -3*v - 13 = -4*v + 2*c. Solve x = -2*y - v*y + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4 - 4 - 5*v - 2 + 2 + (1 - 1 + 2*v)*(3 + 1 - 2))*(0*v - 8*v - 7*v)*(-34*v + 12 - 12).\nAnswer: -2040*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2 + 1585526*s = 0. Calculate s.\nAnswer: -1585526, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 + -0.04. Let y = 0.2 - 5.2. Let s = 7.18 - 9.18. What is the closest to i in s, -4\/5, y?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from accccaccaccc. Give prob of picking 1 a and 1 c.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 1. Let l(b) = 3*b**3 + 4*b + 3. What is -l(u) - 4*p(u)?\nAnswer: -3*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 7*r**2 + r - 1. Let h = -16 - -23. Let y be z(h). Is 2 a factor of 3*(-2 - (-22)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 14*j = 2992. Let d = 347 - j. What is the highest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a. Let o(l) be the second derivative of -2*l**3 + 17*l. Calculate o(d(k)).\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5377? (a) 1\/4 (b) -0.1 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o**2 + 13*o + 6. Is 7 a factor of s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -23, -38, -55, -74, -95?\n\"Answer: -f**2 - 10*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ca - 4?\nAnswer: 1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155004362 by 2083.\nAnswer: -74414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - 178*d - 32. Calculate p(59).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505953.5691 rounded to the nearest 1000?\nAnswer: 506000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7866008?\nAnswer: 2, 149, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7437485?\nAnswer: 5, 11, 29, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqffjycqccyfjqjvjqfq. Give prob of picking 2 y.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 14*n**2 - 5*n + 4. Let w be r(-2). Suppose -107 = -5*k + 43. Calculate the greatest common factor of k and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 2*q**5\/25 + 6*q**4\/5 + 36*q**3\/5 + 108*q**2\/5 + 162*q\/5 + 1. Factor r(j).\nAnswer: 2*(j + 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 13) to base 4.\nAnswer: -2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/24)\/(2\/6). Let u(d) = -d + 1. Let l(f) = -1. Let q(j) = 4*j + 2. Let x(a) = 5*l(a) + q(a). Determine k*x(b) + 6*u(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (5 + -9))*3. Let x(k) = -k - 3. Give x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a3 (base 11) to base 10.\nAnswer: -839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 7*p + 28. Let n be j(3). Is 5 a factor of n\/(-4) - -81 - (-6)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2)*1\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 883, 1765, 2641, 3499, 4327, 5113?\n\"Answer: -2*j**3 + 9*j**2 + 869*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2330 + -2320. Solve -7*v - 4*k = -5*v, -4*v - z = -2*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suyiiicyvyyi. What is prob of picking 1 c, 1 y, and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 2)*10\/(-4). Suppose 2*t + z = -t + 2*g, -3*t - 3*g = 0. Let q(p) = -p**2 + 2*p + 1. Let f be q(3). Sort 5, f, t in ascending order.\nAnswer: f, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)*(x\/(x**(3\/2)\/x*x))\/x)\/(x**(-1\/4)\/x)**(-35) assuming x is positive.\nAnswer: x**(-921\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-27)\/12) - 34\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, l: 2, n: 5}. Give prob of sequence lnn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2346189 millennia?\nAnswer: 234.6189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 463753 - 0.73.\nAnswer: 463752.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/7 - (-26)\/91. Suppose -s*j = -6 - 6. Let a(q) = -q**3 + 4*q**2 + 3*q - 5. Let u(y) = y**3 - 5*y**2 - 4*y + 6. What is j*u(w) + 5*a(w)?\nAnswer: -w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4645818411?\nAnswer: 3, 13, 1009, 118061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3 - 23. Suppose o*q + 32 = 2. Let b(k) = k + 1. Give b(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6077, -4035, -653, 4051, 10059, 17353?\n\"Answer: -3*z**3 + 688*z**2 - z - 6761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18727236 a multiple of 1441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c*c*c*c\/(c*((c*c**3)\/c)\/c)))\/c))\/c**(-1\/2))**(5\/4)*((((c**(-5)*c)\/c)\/c*c)\/(c*c\/((c**(-5)*c*c)\/c*c*c)))**(2\/5) assuming c is positive.\nAnswer: c**(-19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4573828*n + 4573824*n - 13721487*n - 2*n**2 + 4573835*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t**2 - 2*t - 22. Let z(b) = -b**3 + 6*b**2 - 2*b - 24. Let c(v) = 3*n(v) - 2*z(v). Is c(-3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000604\/3743 at least 535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7192\/(-290))\/(((-18)\/(-3))\/(825\/55))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 214*w + 218*w = -25, 5*g - 201 = w. Which is the nearest to 0? (a) g (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - 22*c - 58. Is 66 a factor of p(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.99 and -0.4391337.\nAnswer: -1.4291337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((33635\/558)\/155)\/((-2)\/(-36))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**2 - 247*s - 199. Give g(-20).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 36. Let g = -26 - 0. Let v = p - g. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 9. Let d be l(-7). Let z = d + 10. Suppose -5*o = j - 60, 0 = 3*o - z + 2. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 809 + -797. Solve 0*t = 3*t + 4*a - i, 0 = 4*t + 2*a - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 151. Suppose -96 = -c - i. Suppose 0 = 2*m - 2. Solve m = 2*x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**2 + 25*o**2 - 19*o**2.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/5 - 21\/20. Let k be -2 - -1 - (0 + 2 - 3). Let h(s) = -s - 3. Let y be h(k). What is the smallest value in y, a, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32976891?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 4*h + 50, 2*n + 3409 = h + 3423 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222309.\nAnswer: 3, 17, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 39. Let p = 110 + -90. What is the remainder when c(0) is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2435 = 3*q, 11*h - 4*q = 10*h + 623. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 + 210. Let q be o + 1 + (8 - 1). Solve f + q*m + 2*m - 5 = 0, -f + 4*m - 11 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 445, 447, 449, 451, 453?\n\"Answer: 2*b + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 - 2*k + 76.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-20))\/5 - 2\/(-32)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15188219437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 414722 < 414723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (8 + (33 - 5) + -74)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 22 + 13 - 13*l + 9*l.\nAnswer: 5*l + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-19)\/(1026\/36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20418, 20812, 21878, 23952, 27370, 32468, 39582, 49048?\n\"Answer: 56*v**3 + 2*v + 20360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11*m - 3. Suppose 4*d - 8 = -4*p, 7 = -5*p + 7*p - d. Suppose -5*b = 25, 3*q - p*b - 2*b = 19. Is x(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -4.01. Sort x, 1, 2 in decreasing order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.6393 - 1938.3?\nAnswer: -2180.9393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 295 + -170. Let p = r - 29. Suppose -19*j = -23*j + p. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -38*s**3 - s**2 - 5*s + 4. Let i be j(-7). Let l = i - 21724. What is l rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -73. Let f = 29 - t. Let u = f - -38. Calculate the remainder when u is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 140*j**3 + j. Let n(s) = 141*s**3 + s. What is 3*n(g) - 4*p(g)?\nAnswer: -137*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2.6. Is w <= -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z - 13 = -15*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0)\/(3\/(-3)). Let w(u) = u**3 + u**2 + u. Let k be w(z). Solve -5*i - 4 - 6 = k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25770 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 + 3db05?\nAnswer: 3db4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.14 and 123.\nAnswer: 123.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.129 times 0.11377?\nAnswer: 1.26614633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 1429194.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 26, 52, 88, 134, 190?\n\"Answer: 5*d**2 + d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljnnlqlnql. Give prob of picking 3 l and 1 q.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - 3*r**2 + 3*r**2 + (r - 4*r + 4*r)*(r**3 + r**3 + 0*r**3) + (-17*r - r + 230*r)*(-8*r**3 + 10*r**3 + 9*r**3).\nAnswer: 2333*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**3\/6 - 19*b**2\/2 + b. Let o = 386 - 386. Determine y(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4645949mg in micrograms?\nAnswer: 464.5949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 327*k**3 + k - 2. Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3035872, -3035863, -3035840, -3035797, -3035728, -3035627, -3035488, -3035305?\nAnswer: -3035072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16*-56633\nAnswer: -906128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -1\/10*k**5 - 1 - 1\/2*k + 1\/12*k**6 + 1\/4*k**2 + 1\/3*k**3 - 1\/4*k**4. Factor l(q).\nAnswer: (q - 1)**3*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/5)\/j)**31*(j*j**(-27))**12 assuming j is positive.\nAnswer: j**(-1622\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (1 + 104)) + (-10734 - -10769)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 568938*k**3*x**2 + 11*k**3*x + 566195077*x**2 wrt k?\nAnswer: 1706814*k**2*x**2 + 33*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -871843 (b) 0.2 (c) -4 (d) -3 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 65. Put 10, -5, j in descending order.\nAnswer: 10, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-176400)\/(-2880) + (-1)\/(-12) + (-2)\/6. Solve 28 = 4*r + 5*m, 67 = -5*r + 4*m + n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2 + 35*f**5 - 113*f + 17391*f**4 - 1 - 17391*f**4 wrt f?\nAnswer: 700*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 0, -9.4, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 0.8. Let f = -9 + 5. What is the nearest to 1\/2 in -4\/7, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260.2346961 - 2846.\nAnswer: -3106.2346961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, 9\/19, 5154, -0.2 in ascending order.\nAnswer: -1, -0.2, 9\/19, 0.5, 5154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-15) + -1)\/(14\/(-35)). Is l + (-37224)\/(-20) - (-2)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2. Let w(j) = -j + 3. Let p(y) = -3*y + 8. Let g(b) = -3*p(b) + 8*w(b). Calculate g(c(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*x = 6*k + 24, 4*k + 2*x = -20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 3*o + 2. Let y be i(-4). Suppose -f = 2*f - 48. What is the remainder when f is divided by 6*2 + y\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -241 + 348. Let a = l - 50. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50768)\/(-22211)*((-48)\/(-16))\/(3\/14).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -649 - -652. Suppose -2*q - 3 = c - 8, -q = c - 6. What is the lowest common multiple of c and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - o + 1 = 0, 5*o + 5 = 4*y - 8. Let s be -1*(-2 + 579\/291). Let w = s - 101\/388. Which is the closest to 1? (a) w (b) y (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -452, -0.1, -0.2, 518, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y**2 - 8663*y**4 - 8*y**3 - 6 + y + 9*y**3 + 8668*y**4 to the form t + c*y**4 + a*y + h*y**3 + v*y**2 and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 682*u**2. Let f(m) = -4*m. What is f(x(i))?\nAnswer: -2728*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - sqrt(91)*2 - sqrt(91))*1)\/((sqrt(35) - sqrt(35)*2)\/sqrt(5)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*m - 5 = 0, -2*k + 4*k + 5*m - 22 = 0. Suppose 0*w - 5*w - 5*d = 10, 0 = -3*w + 4*d + 15. Let u = w - k. Solve -7*g + 3*g = u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*((n\/(n*n\/n**(-9)))\/n)\/n*n*n**(2\/5)*n**4\/n*n assuming n is positive.\nAnswer: n**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 8*d + 3*s - 18, -d + 18 = 4*s. Let c be (d\/(-36))\/((-1)\/6). Let f = 0 + 17. Solve 5*r + m = c*r - 7, 5*r + f = -2*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 26. Suppose -h + b*c = -67, -5*h - 2*c + 235 = 3*c. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/7*(-2)\/(-5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/((-9)\/(-198)). Let h(v) = 3*v**2 + 33*v + 8. What is the least common multiple of 9 and h(p)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -423 - -428. Let x(w) be the second derivative of 0*w**3 + 5\/2*w**2 + 18*w + 0*w**4 - 13\/20*w**d + 0. Differentiate x(b) wrt b.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99, 197, 295, 393, 491?\n\"Answer: 98*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-263 - 268 - 1433*c**3 + 351*c**3 - 2233*c**3 + 529)*(c**2 + 4*c**2 + 10*c**2).\nAnswer: -49725*c**5 - 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h - 2*h)*(-2*h**4 - h**4 + h**4) + 11*h**5 - 5*h**5 + 5*h**5.\nAnswer: 17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, -173, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/14*(-3 - -1)\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**3\/3 + 6*z**2 + 9*z + 66. Calculate x(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 43*l**2 + 88*l - 57. Let j(o) = -3*o**3 - 4*o**2 - 2*o. Calculate the remainder when w(-45) is divided by j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146164573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 3*z**4\/4 + 28*z**3 + 663*z**2\/2 + 1014*z - 531. Let i(r) = 0. What is r?\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86944 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 8. Solve -v = v + j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019 + 258 + 2*h + 254 + 251 + 256 + 9*h**2.\nAnswer: 9*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:46 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 4*v**3 - 14011 + 4*v - 12*v**2 + 11*v**2.\nAnswer: -4*v**3 - v**2 - 14011","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbaabbbbajjbbbb?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20313 is divided by 1846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-24)\/(-15))\/((-33)\/(-30) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y + 0*y)*(6 - 1 - 1 + (1 - 5 + 3)*(10 - 6 + 2) + 0 - 5 - 10)*(4 - 3 + 0).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 102. Suppose 0 = -c*z - 6, 0*z + 31 = m - 5*z. Suppose m*f = 13*f + 156. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 19 + 25793*n + 13.\nAnswer: 25793*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = p + 2*m, 6 = -2*p + 4*p - 4*m. Let f(i) = 2 - 3 - p*i + 36. Let q be f(6). Solve -q*s = b + 2*b + 25, s = 5*b - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19460 = -614*n + 6942 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -900, -1775, -2636, -3477, -4292, -5075?\nAnswer: -5820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2138 = 3*n + m - 12817, 4*n + 4*m - 19948 = 0. Suppose n = -5*q + q. Calculate the remainder when (q\/21)\/(4\/(-6)) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*b**3*v**2 + 3*b**3*v - 22*b**2*v**3 - 2*b*v**3 + 13*v - 1 wrt v.\nAnswer: 30*b**3 - 132*b**2*v - 12*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = 0. Suppose y - 6 - 30 = n. What is the tens digit of 168\/y*(-33)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 - 3*f**4 + 2*f**4 - 13*f**3 - 4*f**4 + 13*f**3 + (f**3 + 0*f**3 + f**3)*(-1 - f + 1))*(1 - 2 - 3)*(1 + 0 - 2).\nAnswer: -40*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16344 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 248836.5 plus -0.4?\nAnswer: 248836.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.6. Let x = l - -0.2. Let p be 3\/12 - (-26)\/(-52). What is the closest to -2 in 1, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/(-30)*20\/(-62). Let w = 1548\/31 + -50. Let p = r + w. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(162) + -4 + sqrt(162))**2.\nAnswer: 72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17641409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -17 + 0\/(-7) - -2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 times -1.4055?\nAnswer: -293.7495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 91 = -2*v, -g - 4*g - 15 = 0. Let u = -151\/4 - v. Let h = -0.3 - 0.2. Which is the biggest value? (a) h (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -3\/5 (c) -34 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 7. Suppose z*r - 2*r - 60 = 0. Suppose 0*g = -3*g + r. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*1)\/((-37)\/42587) 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) -0.2 (b) -5 (c) -7 (d) -0.148 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -8*f + 3*f. Let t = 12 + f. Factor -16*d - 4 - 25*d**t - 7*d**4 + 5*d**5 - 2*d**5 - 19*d**3 - 4*d**5.\nAnswer: -(d + 1)**3*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**2 - 5*g. Let t(p) = -4913 + 4913 + 77*p**2 - 66*p. Give 66*n(r) - 5*t(r).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 k when three letters picked without replacement from {n: 3, a: 1, g: 1, b: 1, k: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y + 15. Is g(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 0*s**2 + s**2)*(-2*s - 2*s + 5*s) + 2*s**3 + 3*s**3 + 3*s**3 - 2*s**3 + 1 + s - 1.\nAnswer: 4*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1443543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1101*g. Let w(z) = -230*z**2. What is m(w(f))?\nAnswer: 253230*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 566 = -614 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*d = 5*y - 34, 4*d = -4*y + 72. Let i(m) = 16*m - 53. Is 21 a factor of i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4\/7, 1, -1088?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 7. Let v(k) = -1. Determine q(r) - 3*v(r).\nAnswer: 2*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*(f\/(f\/(f*f**(2\/13))*f)*f)\/f)*f*f**(-3)*(f**(-1)*f)**47)\/((f\/(f\/f**(-5))*f**(-1\/7)\/f)\/(f**(-7)*f*f**(-2\/11)\/f)) assuming f is positive.\nAnswer: f**(-2195\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 1:42 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 divided by 7?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2)*297*(-39)\/(-858).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z**3 + 9*z**2 + 7*z - 2. Let l(p) = 6*p**3 + 4*p**2 + 3*p - 1. Calculate -4*k(j) + 9*l(j).\nAnswer: 2*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-15)\/(-3) - -11)*13535. What is m rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 1371, 0.5, 3, -26 in ascending order.\nAnswer: -46, -26, 0.5, 3, 1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -3\/10 (b) -95 (c) 2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g - 2. Let z be n(2). Sort 0, -5, z in decreasing order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 1, c: 1, j: 1, p: 2}. Give prob of picking 1 r, 1 p, and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452407191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/91530 and -11\/360.\nAnswer: 366120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 1 + 14 - 6 + 6.\nAnswer: -2*a + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + 1.99. Let f = -1.512 + 4.512. Which is the second smallest value? (a) f (b) -1\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 + h**2 - 4*h**2)*(2*h**2 - 30*h**2 - 6347*h + 6342*h) to the form k*h**2 + m*h**4 + q + g*h**3 + r*h and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53 - -7) + (173 - 135).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/156*6)\/((-66)\/(-88)). Which is the second smallest value? (a) u (b) 0.2 (c) -0.099 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 - 6378*a**3 - 131*a**2 - 2*a + 3182*a**3 + 3181*a**3 - 22*a**2 as m*a**2 + d + b*a**3 + k*a and give m.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/53238 or -1?\nAnswer: -25\/53238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/9*w**2 + 0*w**4 - 2\/3*w - 4\/9 + 8\/9*w**3 - 2\/9*w**5 = 0. What is w?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 9 + 0 + 3 + 3*z - 11.\nAnswer: 3*z + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 13*a**2 + 15*a + 2. Let u be c(14). Suppose 0 = 6*j - 8 - u. Suppose -4*t + 712 = 5*m - 0*m, j*m = -t + 563. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - d**4 + d + 0*d - 1 + 0*d to y*d**4 + r*d**2 + m*d + b*d**3 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**4 - 5*r + 574*r**3 - 2*r**2 - 575*r**3 + 1 + 3*r**2 in the form v*r**4 + k + w*r**3 + m*r**2 + g*r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, -44, 1, -16, 21.\nAnswer: -44, -17, -16, 1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250113 - -1?\nAnswer: -250112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/7*1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let x(k) = 70*k**2 + 3*k - 12457. Determine x(o(p)).\nAnswer: 70*p**2 - 3*p - 12457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.122 not equal to -32335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 537.5876 millilitres?\nAnswer: 0.5375876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93761 is divided by 2246.\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 3*u + 3*v, 2*u = 3*v + 22. Let h(f) = f**2 - f + 12. Let n be h(0). Solve -u*b + n = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 0.5, 14, -2\/13, 12\/11, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 7:08 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.1 (b) 0.213 (c) -2 (d) 3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from dclol?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 6, -82*d = -79*d - 2*y - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-6)\/(-45))*4\/5. Suppose y*b + 2*j = b - 2, -2 = -5*b + 2*j. Solve b = -4*l - 3*h + 4, -2*h = 6 + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300895 and 2135?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23737 + -16238. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by (-16)\/((-16)\/3) - -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1080.5 + 858. Let p = z - -223. Which is the smallest value? (a) -5 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z - 2 = 0. Suppose -l + 63 = z*l. Suppose 3*n + 12 - l = 0. Solve d = 4*d - n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:00 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (49 - -31 - 4 - 45) + -82\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-12\/5)*c)\/(c\/((c\/((c\/(c*c**(1\/31)))\/c))\/c*c)*c))\/(((c\/(c**25*c)*c)\/c)\/(c*c*c**(-12\/13))))**(-4\/7) assuming c is positive.\nAnswer: c**(-199156\/14105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (10 - (15 + -10) - 14) - (1 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 3:59 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 6 - (-2 - (-5)\/1). Is 19 a factor of 25\/10 + 3\/i + 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 3 - 4)\/(2\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 42*q**2. Let v(r) = -13*r - 1. Calculate j(v(k)).\nAnswer: 7098*k**2 + 1092*k + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - -21200?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(77) + sqrt(77) + (sqrt(77) - (2*sqrt(77) - sqrt(77))))\/sqrt(7).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -436 + 4?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5108524511 plus -2240?\nAnswer: 5108522271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 3:47 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/10)\/2*(-90)\/(-9). Suppose 0 = 4*b - b. Let r be (b - -5) + (-1 - 2). Which is bigger: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j**2 + 2 + 0*j**2 + 0*j**2)*(0*j**2 - j**2 + 2*j**2).\nAnswer: -10*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12*c + 17*c - 55 = 0, -c = -4*n + 157. Calculate the lowest common multiple of n and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:28 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 16*u**2 + 48*u - 25. Let l be m(19). Let j = l - -231. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 12:26 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 789449369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -166 <= -787022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -179580969+385320\nAnswer: -179195649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 9 = -6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 3*a**2 + 0*a - 4*a**2 + (0 - 1 - 1)*(-a**2 + 5*a**2 - 3*a**2) + (-3 + 2 - 1)*(0 + 0 - 2*a**2).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - g + 4. Let s be f(0). Let b(z) = 4*z**2 - 17*z - 11. Let w be b(5). Solve 0 = -w*a - 0 + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-2)\/4)*1. Suppose 0 = -3*a + f*j + 16, -2*j + 0*j = a - 8. Suppose -3*m = -d + a, 7*m = 2*m. Calculate the highest common factor of d and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -564 + -3?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, -1\/2, -1\/4.\nAnswer: -1\/2, -1\/4, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 127 + 3*z + 17)*(0 + 0 + 1)*(-z**2 + 0*z**2 + 0*z**2).\nAnswer: -3*z**3 + 99*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {s: 1, u: 1, b: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -5*x**4\/24 + 14*x**3\/3 - 1170*x**2. What is m(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36, -52, -88, -150, -244, -376, -552, -778?\n\"Answer: -w**3 - 4*w**2 + 3*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from zkzacazkak.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzw when three letters picked without replacement from {w: 2, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1\/315794?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 197 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 0*f)*(23 - 7 + 32).\nAnswer: -96*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 115731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by 206.\nAnswer: -68\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*1 + sqrt(3))*-5)**2*-2.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-558)\/48 + 12\/(-32))*-1006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + 17\/5. Suppose 645 = -7*d + 876. What is the highest common factor of d and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 964 divide 2844028468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -3.7.\nAnswer: -33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011000110001011010001 - 11011?\nAnswer: -1000011000110001011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*l = 30, -4*l = -2*c - l + 60. Solve 7*z + 9 - c = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.88, 0.4, 2\/7, -5\/6, -179, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or -1081?\nAnswer: -1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1375 and 4587?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*r + 1293, 5*l - r - 1596 = 36. Let s = 4903\/15 - l. Let h = -4\/21 - -11\/21. What is the closest to h in s, 3, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 573620455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 37. Let z be (4 + (-16)\/(-4) - -1) + q. Suppose -12*y + z*y + 126 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlkkwwftwfj. What is prob of picking 1 l, 1 w, and 1 t?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 788 = 25*m + 5*v, -2*v = 3*m - 591. Solve 189*o - m*o = -16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13621\/77 - 2\/(-7). Suppose 4 = 4*h, 4*h + 73 = 4*d - 631. Let j = d - o. Which is the smallest value? (a) -1\/4 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408705 and 1320?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2 + 0*h**2 + 2*h**2. Let r(p) = -6*p - 17. Let t(x) = -2*x - 6. Let q(z) = -6*r(z) + 17*t(z). Give s(q(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 26*b**3 - 3*b**2 - 6*b + 8. Let d be h(2). What is the greatest common factor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-35)*1)\/((370\/(-1480))\/((-7)\/16))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35220 - 35219 + 112*q**2 - 346*q**2.\nAnswer: -234*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 56.196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10039789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + z - 3*z = -1, 0 = 5*z - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence embb when four letters picked without replacement from {w: 7, m: 1, c: 1, b: 5, e: 1, v: 4}.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/15 - (-2 - 0).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -117*g + 12. Let x be c(0). Solve 24*l - 26*l + x = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - -0.18. Which is the third biggest value? (a) 0.02 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58288\/19482764)\/((-1)\/(-7)*1*-2)\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95814205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 4*b + 489 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4334462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -1, 37, -7\/8 in decreasing order.\nAnswer: 37, 2, 1, -7\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -91, -250, -555, -1054, -1795, -2826?\nAnswer: -4195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 1:43 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 124211201 (base 5) to base 12\nAnswer: 25888a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13412200515 - 10?\nAnswer: 13412200505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -772 - -785. Solve 0 = -s - 2*n, 3 = 3*s - 10*n + v*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219349543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 13*n - 12. Let z(b) = 3*b**2 + 13*b + 13. Let i(s) = -4*a(s) - 3*z(s). What is i(14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -26. Let r(h) = h**3 + 14*h**2 + 4*h - 7. Let m be r(f). Calculate the greatest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -13*p - 56, -6*k + 3*p = -5*k - 3*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0*b**3 + 0*b**4 - 15\/2*b**2 - 6*b + 0*b**5 + 0 - 11\/15*b**6. Differentiate o(f) wrt f.\nAnswer: -88*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*n, -3*n - 28 = 3*f + n. Let k be 5\/((6 - 3)\/9). What is the closest to k in -0.3, -0.5, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*((sqrt(300)*1 - sqrt(300))**2 + sqrt(300) - sqrt(300)) - ((5 + sqrt(12)\/sqrt(4) - (sqrt(3) + sqrt(3) + (-1*sqrt(3) + sqrt(3))*4))**2 + 5).\nAnswer: -34 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 2\/9, 0.05, 603?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -209514 (base 10) in base 4?\nAnswer: -303021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9213*y - 8788*y + 17022*y.\nAnswer: -979*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01256209 rounded to four decimal places?\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 12*p = 20. Let h = p - 7. Let q(f) = -3*f + 15. Let v be q(h). Which is greater: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 - 13*k**4 + 57*k**3 - 99*k**2 + 54*k.\nAnswer: k*(k - 6)*(k - 3)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54871310\/29 or -1892113?\nAnswer: -1892113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:28 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77714855 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -97, -400, -1121, -2470, -4657, -7892, -12385?\n\"Answer: -35*k**3 + k**2 - 61*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p + 10*p = 18 + 30 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, -1, -3 in increasing order.\nAnswer: -227, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30438?\nAnswer: 2, 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {v: 1, l: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -17. Suppose -u + 71 = 2*p + 2*p, 0 = -3*p - n*u + 66. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((69069\/414)\/(-143))\/(2\/(-4))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evum when four letters picked without replacement from {v: 8, u: 1, e: 1, q: 1, m: 6}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18665*c**3 - 936 + 310 + 314 + 18587*c**3 + 312.\nAnswer: -78*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000396114009 to 7 dps.\nAnswer: 0.0003961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 68. Let t be ((-11)\/(-5) + z)\/((-12)\/(-40)). Solve -5*v - 5 = k, -t*v - 5 = -k - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - c = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -8, 3.\nAnswer: -8, 3, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g + 4. Suppose 0 = -g*p - 3*p + 9. Suppose 0 = 2*n + 20 - 54. Calculate the remainder when n is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80972460 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (4\/10 + 16\/(-40)). Let f = -4.6 + 4.1. Sort 0.2, -2, f, w in descending order.\nAnswer: 0.2, f, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(576\/(-24))*(-18)\/4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 7. Suppose -24 = -4*g + 5*v - w*v, g = 2*v + 12. Suppose 3*b - 6 + 21 = 0, -2*p - g*b = 8. Solve 0 = 4*i + 16, -3*i = f + 8 + p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:50 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008891777 rounded to 5 dps?\nAnswer: -0.00889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1013 = 4*u - 9*n + 1072, -5*n = -5*u - 30 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 266 = 5*n, -274 = 5*n - 0*n - y. Are -53 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = -8*y. Suppose -y*c + 70 = -20. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 303078*h**3 + 128429*h**2 wrt h.\nAnswer: 1818468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -20\/9, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 2*m + 5. Give k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 577772693?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-161)\/14 - -11 - (-1882)\/4. Calculate the greatest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from tkyksks.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 39*a - 2. Does 26 divide d(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -749, -1514, -2309, -3152, -4061, -5054, -6149, -7364?\nAnswer: -8717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k. Let n be d(3). Let g = 1 - n. Put 0.3, 0.4, g in ascending order.\nAnswer: g, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 81653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1000.5, -2\/15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 3051.\nAnswer: -1220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + i**2 + i - 1. Let p be a(1). Let m(k) = 2*k + 4. Let n be m(p). List the prime factors of 0\/2 - n - -28.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/12 - 5*m**3\/6 - 7*m**2. What is the derivative of q(u) wrt u?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 62. Let k be u(-8). Suppose -192 = -3*z - k. Let b be z\/(-11) + 15 + -11. What is the second biggest value in 2, b, 4\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*39\/(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {i: 1, j: 2, e: 4, y: 9}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -1153*u**7\/42 + u**4\/3 - 23*u**2 - 1076*u. What is the third derivative of t(l) wrt l?\nAnswer: -69180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 - 40. Suppose 4*g + 24 + i = 0. Let j be ((-32)\/g)\/(4\/14). Let c(q) = q**3 - 2*q**2 - 6*q + 5. Determine c(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2032*f. Let p(w) = 122809*w**2. What is p(l(k))?\nAnswer: 507081308416*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + -3 + (15 - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2489812?\nAnswer: 2, 13, 47881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 26*t - 11 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1135 * 5\nAnswer: -5675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42227376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3145 - 2841. What is the highest common factor of 247 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82494 divided by 6.\nAnswer: -13749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 + 7*b + 4. Suppose 3*y - x + 6 = -6*x, -3*x = -9. Let w be k(y). Solve 2*f + 6 = 2*h + 22, 0 = -w*f + 3*h + 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6882608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 + 77*h**2 + 60*h + 250. Let f be x(-25). Factor f - 39\/2*u + 3\/2*u**2.\nAnswer: 3*u*(u - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.78 (b) -11 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2\/5, 1, 60\/17, 0.3, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51122?\nAnswer: 2, 25561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 271 = -20*m + 2823. Let f = -4 - -6. Suppose -431 = -f*c - r, c - 2*r - 3*r = m. 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 micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from {k: 1, m: 7, b: 1, j: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j**2. Let y(z) = -z**2 + 9*z - 12. Let s be y(7). Suppose -m = 2*f - 1, 3*f - 2 - s = m. Give u(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(385\/22))\/((-4)\/110)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 - 6*d + 6. Calculate u(-5).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8.648797 weeks?\nAnswer: 87179.87376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**2 + 2. Let m(l) = 1260306*l. Give n(m(i)).\nAnswer: -7941856068180*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 - -144. Suppose m - 36 = f*s, -65 = -3*m - s + 3. Calculate the remainder when 90 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqddqqddddqqq. What is prob of picking 2 q and 2 d?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 bigger than 791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 o when three letters picked without replacement from hoovohohhhhvohohhh?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -560 + 553. Let z(d) = -d**3 - 8*d**2 - 8*d + 6. Give z(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17925908 to the power of 1\/2, to the nearest integer?\nAnswer: 4234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6929.927 hours?\nAnswer: 24947737200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/184 and -89\/1242.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 11 - 3 = 0. What is the units digit of ((-8)\/u)\/((-2)\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64679914.\nAnswer: 2, 13, 19, 311, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 409790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.9. Let n = 6.093 - 0.093. What is the smallest value in n, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/7 in 6, -1, 14, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -655253, -1310479, -1965697, -2620907, -3276109, -3931303, -4586489?\nAnswer: -5241667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426105483?\nAnswer: 3, 83, 137, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -4056\nAnswer: -1\/1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (-13 - 19) + 26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -58.672 and -1?\nAnswer: 57.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50.3 and -29.\nAnswer: -1458.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 225 or 224?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 7041 + 2621. Let v(l) = 3*l**2 + l - 4. Let s be v(-3). Calculate the highest common factor of s and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42802649 and 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (((-6)\/5)\/((-96)\/120))\/(6\/263216)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 134, 135, 136?\n\"Answer: a + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 110 and 545723184734.\nAnswer: 545723184844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31 (b) -2\/7 (c) 0.06 (d) -395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.8 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 646453?\nAnswer: -646436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.029 - 0.0012. What is a rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -9*t + 6*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6961*k + 35051. Give c(5).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -20. Suppose 13 = z*p - p. What is the highest common factor of 52 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212110000221 (base 3) to base 9.\nAnswer: 773027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22498187 - 13434399. Let b = x - 9063790.61000121. Let y = b - -2.61. What is y rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80893811629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2\/5*p**3 - 2\/5*p**5 + 6\/5*p**4 - 8\/5 + 24\/5*p - 22\/5*p**2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 + 91*n**2 + 168*n - 555. Give k(-28).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 156*z + 3274. Give o(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 3. Let i(b) = 4*b**2 + 11. Suppose -3*d = -d - 4. Suppose 5*o + d = -3, 0 = 2*k + 4*o - 40. What is k*r(n) - 6*i(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upuupuuu. What is prob of picking 3 u and 1 p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3\/3 + 5*k**2 - 4*k + 1. Suppose 18*t + 217 = 19. What is the units digit of j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r + 9. Let d be l(-7). Let c be (-15)\/12*-4 - 1. Suppose -d = -c*a + 43. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 - a. Let b(d) = -3*d. Determine b(i(o)).\nAnswer: -12*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 881625, 881657, 881715, 881805, 881933, 882105, 882327?\n\"Answer: q**3 + 7*q**2 + 4*q + 881613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*h = 3812 - 11730 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 4*n**2 + 6*n + 6. What is q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -19*y - 184. Give z(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1621 - 1620.7. What is the closest to 0 in -1, a, 3\/7, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 32*o**2 - 171*o - 6. Let u be x(37). Calculate the greatest common divisor of u and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112, -115, -104, -73, -16, 73?\n\"Answer: f**3 + f**2 - 13*f - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.8 - 11. Let r = 0.5 - l. Which is the second smallest value? (a) -5 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821.\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -2)\/((-1)\/(-1)). Suppose 1 + 10 = 2*b + 5*x, -11 = a*b + 2*x. Let r = -3 - b. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.81 plus 0.22?\nAnswer: 2.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3 + 128*i**2 - 764*i - 888 = 0.\nAnswer: -37, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 73794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39, 185, 937, 2481, 5081, 9001?\n\"Answer: 44*n**3 - 84*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.32 - -0.32. Let p = w - -1. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 1, r: 1}. What is prob of sequence tr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 499687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4*q + 52 = -2*m, 0 = 2*q + 4*m - 70. Suppose -q = -6*j - 5. Put -3, 1, j, -5 in descending order.\nAnswer: j, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 146.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*m - 6. Suppose 4*h - h = 3. Let q = h - m. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20301333 - 3?\nAnswer: 20301330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/2, -205\/6, -0.3, 6\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 + 8*i - 7. Give p(-8).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.073 and 4745.1?\nAnswer: -346.3923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(4\/(-38)) - (-4 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(14) + sqrt(224)))\/(6*sqrt(63)\/sqrt(9) - sqrt(7)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = -6. What is the derivative of -m*d**4 + 14 - 5 + 7*d**4 wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11133 + -11?\nAnswer: 11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/x**(1\/6)*(x**(2\/7)*x)\/x**(-2\/3))**(1\/51) assuming x is positive.\nAnswer: x**(3\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 3, 0.16, -0.1, 1\/7, -4\/7, 3.81?\nAnswer: 3.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-20) + (-16)\/130?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-14 - -11) - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -231 and 1.6.\nAnswer: -229.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/6 - 64*d**2 + 255*d\/2 + 8441. What is p in n(p) = 0?\nAnswer: 1, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -4, -261, -2, -5 in increasing order.\nAnswer: -261, -5, -4, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*b. Suppose -2*g - f = -14, b*g - 2 = -3*f + 12. Let r = g + -7. Solve 0*o - 5*o = r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*p - 14. Suppose -p = -4*k + 3*k. What is the remainder when 75 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n - 114*n + 46*n + 27*n.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*p = 0, 6 - 3 = -r - 5*p. Let b = -10 + 19. Suppose -23 = -4*v + b. Solve 0 = r*t + v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 7*a + 7 = 0. Let d = 3 + a. Let y(u) = 3*u**3 - 3*u**2 + 3*u - 5. Let q be y(d). Is q not equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*s + 1824 = -34*s - 74*s. Suppose 0*m + 228 = m. Calculate the greatest common factor of m and s.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15237, -15236, -15235?\nAnswer: -15234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 7.8. Let m = l - -7.9. Let i = 3 - 1. What is the nearest to m in 3, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -10 + -1 + 6 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*l + 11 + 1 = 0, -5*f + 16 = l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2049\/2 - -1051. Suppose -v + 17 = 2*g, -v + 0*g = g - 22. Find the common denominator of 12\/28*v\/(-2) and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 13032?\nAnswer: 1302c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -723, -1085, -1449, -1815, -2183, -2553?\nAnswer: -2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(272)*-1*2 - sqrt(272)) + sqrt(272) + sqrt(272)))**2 + 5.\nAnswer: 9797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Suppose 2*v + 120 = 3*s - 30, 5*s + w*v - 228 = 0. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 + 4*o**3 - 4*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let z be v(-3). Let a(r) = r**2 - 12*r + 32. Let m be a(4). What is h in 0*h**z + 0 + 2\/5*h**2 - 2\/5*h**4 + m*h = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5 + 3. Suppose 2*g - 142 = -4*t, b*g - 5*t - 89 = 71. Calculate the greatest common factor of 30 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60409743?\nAnswer: 3, 647, 31123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133 or 0.02049?\nAnswer: 0.02049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-252)\/(-117) + (-6)\/39. Suppose q - v = -0*v - 3, -n*q = v + 3. Is (-2628 + -4)\/q + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - s - 1068276, 2*s = -2*s + 16. Suppose 5*r = 451344 + a. What is r rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/1 + -2)*762\/18. Suppose 246 = -3*u - j, -5*u + 4*j = w + 300. Let q = -80 - u. Solve 0 = -4*n + n + q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 + 9*b - 228\/5.\nAnswer: 3*(b - 4)*(b + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12229 - 9828. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u + 33*u - 13*u + u - 2*u + 0*u + (2 - u - 2)*(1 - 4 + 5) - 2*u + 0 + 0)*(26*u - 12*u + 48*u).\nAnswer: 1798*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 59. Suppose 4*c - 2*j = 9*c - 542, -434 = -4*c - o*j. Calculate the highest common factor of c and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010110000111010 (base 2) in base 10?\nAnswer: -175162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1120001212002 (base 3) to base 6\nAnswer: -25425302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/5 + 6*u**4\/5 + 94*u**3\/5 - 294*u**2\/5 + 196*u\/5 = 0. Calculate u.\nAnswer: -7, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**19\/(n\/(n**(-2\/23)*n)))**(-2\/27))**(14\/3) assuming n is positive.\nAnswer: n**(-4060\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170800 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -39. Suppose -r*g = -2*z - 14, -2*z - 3*g - 6 = z. Calculate the smallest common multiple of 3\/(z*3\/(-8)) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 6) + 2 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8508.\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/(-81))\/(2\/12). Suppose m*x = 5*x - 135. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdwdqddiaqi. What is prob of picking 1 q, 1 i, and 1 d?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(10\/(-5)))\/((-6)\/18). Suppose -3*h = -2*k + 6, -28*k - 5*h - 10 = -29*k. Let v(b) = -b + 2. Let i be v(0). Sort y, i, -2, k in increasing order.\nAnswer: -2, k, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 3*m**2 + 8*m - 3. Let x(p) = 2*p**3 + 2*p**2 + 6*p - 2. What is 4*o(f) - 6*x(f)?\nAnswer: -4*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 + -76. Suppose 0 = h - u + 4. Suppose 2*v = 4*c - 34, c = 2*c - 5*v - h. Calculate the least common multiple of c and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -741.1 in -0.1, -0.08, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8596?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/40*4)\/3*5\/63.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/118? (a) -2\/5 (b) 37 (c) 0.1 (d) -2 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 454210, -4\/7, 34.\nAnswer: -4\/7, 3, 34, 454210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 528793 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 916715586 to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 230180 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-110)\/(-25) - 4\/10. Suppose 5*z = -2*y - 2, -v = 3*y - z - 1. What are the prime factors of ((-51)\/(-6))\/(y\/(-2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -31. Solve 0*q - 4 = -j*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -0.04485?\nAnswer: -3.95515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**30*g**(2\/5))**12 assuming g is positive.\nAnswer: g**(-1716\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2035495500 to the nearest one million.\nAnswer: 2035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**7\/63 - 2*f**6\/45 + f**5\/10 + 2*f**4\/9 - 4*f**3\/9 - 11*f. Find g such that w(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*j + 33 = 3*v + 143*j, -3*v - 11*j + 87 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5 + -15 + 9 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 56)\/((-5)\/(-15)). Let y be 0 - (a\/(-54) + 1 + -4). What is the nearest to y in -2\/3, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -18.46. Let g = 0.76 + y. Let i = 0.109 + -0.069. What is the nearest to 0.1 in i, g, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 2223*n**5\/10 + 49*n**4\/12 - 2054*n**2. What is the second derivative of l(u) wrt u?\nAnswer: 26676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:41 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-66)\/24)*(-648)\/(-405).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((((l*(((l\/l**(-13))\/l)\/l)\/l)\/l)\/l)\/l*l)*l*l**(-1\/8)*l**(-18)\/(l\/((l*l**21*l)\/l)))**39 assuming l is positive.\nAnswer: l**(-1599\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 537189835 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1533274, -1533446, -1533618, -1533790, -1533962, -1534134?\nAnswer: -1534306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gigg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c**5 + 3*c**4 - 1646362*c**3 + 51878517*c**2?\nAnswer: 300*c**2 + 72*c - 9878172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 2. Let s = -2 - a. Let b(p) = 3*p - 4. What are the prime factors of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.5 - -20. What is the third biggest value in -0.4, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.76 + -1.26. Put -2, q, -2\/3, 1\/8 in ascending order.\nAnswer: -2, -2\/3, q, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -15. What is the second derivative of -3*p + 12*p - 35*p**u + 22*p**4 + 23*p**4 wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26042545121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -7*b**5\/20 - 4185*b**2. Let o(c) = -524*c. Determine o(w(i)).\nAnswer: 11004*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -58 - 26. Suppose p*w = 30*w + 31185. What is w rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + 0 + -10)*2\/8. What is the closest to j in 31, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u**2 + 10*u - 10. Let a(g) = -2*g - 6. Let c(z) = -5*z - 11. Let s(x) = 2*a(x) - c(x). Calculate -2*m(j) + 20*s(j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3 + 61*b**4 - 14*b**4 - 177*b**4 - 1792 wrt b?\nAnswer: -520*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (5 + 3 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -571 or -5067?\nAnswer: -5067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33242186951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 2*h + 0*h - 4*h + 2*h + 4*h + (-1 - 2 + 1)*(-2*h - 2 + 2) - 468*h - 879*h - 416*h - 289*h.\nAnswer: -2048*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 5*m. Let g = m + 25. What is the units digit of 2\/7 + 244\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2031 - -2060. Let z(j) = -j**3 + 7*j**2 + 2*j. Let a be z(7). Suppose a*f - 167 = b. Solve -3*o = -7*o + h - 10, 2*o - 5*h = -f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 3*d**2 + d - 2. What is the tens digit of m(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 3*m - 2. Let j(t) = t**2 - 4*t + 2. Let s(r) = -3*g(r) - 4*j(r). Let x(i) = -i**2 - 9*i - 14. Let d be x(-6). Calculate s(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*h**5 + 64*h**4 + 931*h**2?\nAnswer: -420*h**2 + 1536*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1210 and 61\/198?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.042 - -4.342. Let s = -0.7 - h. What is the closest to 3 in s, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58395)\/102)\/(-229)*1*(-4)\/(-905).\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*d**5 - d**3 - 281*d?\nAnswer: 880*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22392 divided by -5598\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*((1 - 2 + 2)*(3 - 3 - x**2) - 179*x**2 + 105*x**2 + 512*x**2).\nAnswer: 437*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 6*i - 4. Let p(t) = -28 + t**2 - 6*t + 13*t + 24 + 0*t**2. Let m(d) = 5*p(d) - 6*v(d). Calculate the remainder when 18 is divided by m(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(700) - sqrt(700))\/(-4*sqrt(324) - sqrt(324)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -66, -104?\n\"Answer: -38*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 804526222 to the power of 1\/2, to the nearest integer?\nAnswer: 28364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 33. What is the biggest value in -0.4, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -77, 5, 0, 1, -1848 in descending order.\nAnswer: 5, 1, 0, -5, -77, -1848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 119*u**5 - 19*u**2 + 6*u - 15. Let y(z) = z**5 - z**2 + z - 2. Let v(d) = -s(d) + 6*y(d). Find the third derivative of v(k) wrt k.\nAnswer: -6780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 13. Let c = 7.06 - a. What is c rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22300101001 (base 4) to base 12\nAnswer: -b3b541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 4) to base 3\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 6. Suppose -i = -5*z + 3*z - 5, -4*i + 5 = -5*z. Let c be v(i). Solve -4*k - c = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.855 less than 70?\nAnswer: 70.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/16 - (-13 + 630\/112)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52253, 5, -5, -2, -3 in increasing order.\nAnswer: -52253, -5, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -1.394827973886.\nAnswer: -1.794827973886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6133583 hours in days?\nAnswer: 0.0672232625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1260383*l - 6. Let h(c) = c. Determine h(w(s)).\nAnswer: 1260383*s - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155243 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -4 + -1 + 1 + 1. Let k be (-4)\/(-10)*5*w. Let g be (-2)\/(k - (-21 + 1)). Which is the closest to -1\/2? (a) g (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2489 or 1899406\/763?\nAnswer: 1899406\/763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0189 - 5.0189. Let h = 7.88 + -8. Let c = -0.62 - h. Sort c, 5\/2, p.\nAnswer: p, c, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/2523 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1)*(-5 + 3*d**2 + 5 + 3*d**2 - 2*d**2 - 2*d**2 + (-2 + 2 - d**2)*(0 - 1 + 2) - 2*d**2 + 2*d - 2*d + 0*d**2 - d**2 - d**2).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7436269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d. Let g(j) = -14*j. Let m(u) = 4*g(u) + 11*n(u). Let v(l) be the first derivative of l**3 - 1. Give v(m(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + -69 + 172 - 61?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0*b**4 + 0*b**3 - 1\/30*b**6 - 2 - 32*b - 12*b**2 + 9\/20*b**5. What is the first derivative of m(k) wrt k?\nAnswer: -4*k**3 + 27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 12:30 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*3*10\/135?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 2b8a3?\nAnswer: -2b8a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4299067 greater than -4299066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*a - 2*a = -1161. What is the closest to a in 1, 6, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1597856567 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -355 - -372. Let i = -33 - -16. Let s = a + i. What is the nearest to 2\/3 in 1\/10, s, -3\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 1181 - 7 = 0. Let y = r - -31. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4 + 2*t + 0*t + 3 + 2*t - 3 + (0*t + 2*t + 0*t)*(4 - 1 - 2) - 3*t - 4*t - 2*t - 25*t - 40*t - 17*t.\nAnswer: -85*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.829861 millilitres?\nAnswer: 0.005829861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -71. Let m = 38 - 22. Let w = m + z. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4263 and 261?\nAnswer: 12789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 997205991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 39 + 36 = 0, -i - 18 = -3*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z - 23 = 0. Suppose -2*j + 209 = z. What are the prime factors of j?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*d = 189*u - 44*u - 2892, 4*d - 5*u + 92 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let x be g(-4). Let l = x - 2. Let z = 6\/31 - 61\/155. Sort z, l, 0.5 in descending order.\nAnswer: l, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -8, 6\/25, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 44*d - 48.\nAnswer: 4*(d - 1)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79813100 divided by -2.\nAnswer: -39906550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*a + 51 = 0, 3*c - 4*a + a = 45. Suppose -z - u + c = 0, 3*z - 4*u = -16 + 73. Let o = 24 - 10. Is z bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 235 - 86 - 66 + 2*p - 45 + p. Determine x(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.048 and -0.79.\nAnswer: -0.03792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f - 63 = 11 - 36 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11439, 45733, 102895, 182931, 285847, 411649, 560343?\n\"Answer: d**3 + 11428*d**2 + 3*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:59 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35798 + 5.64471.\nAnswer: 5.28673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/8)\/(774\/1032)*-5?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.1. Let i = -38.8 - -38.9. What is the second biggest value in v, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18723369 times -0.5\nAnswer: 9361684.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -7*q + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1080 - 1062. Solve -7*a - d = -25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38.973 + 0.027. Let a = -1626.68665 - -1665.6866513. Let b = a - v. Round b to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*m - 232*m + 123 + 485*m.\nAnswer: -m + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 7:11 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 3202\/49?\nAnswer: 3202\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(112)*1)\/sqrt(4).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7329*u**3 + 98*u**2 + 49*u + 3297. Let m(c) = 458*c**3 + 6*c**2 + 3*c + 206. Let t(l) = 3*f(l) - 49*m(l). Find the first derivative of t(g) wrt g.\nAnswer: -1365*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253425 divided by 1?\nAnswer: 253425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -57, -117, -189, -267, -345, -417, -477?\n\"Answer: q**3 - 15*q**2 - 4*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -390, -872, -1520, -2316, -3242, -4280, -5412?\nAnswer: -6620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7889*h**3 + 13*h**2 - 2276613*h?\nAnswer: -47334*h + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*y - 7 + 2*y**3 + 44*y - 25*y to t*y**2 + p + x*y + j*y**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - 2 - (26 - 17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 18. Let x(y) = -71*y + 1. Let a(b) = -219*b + 3. Let u(h) = -2*a(h) + 6*x(h). What is p(u(l))?\nAnswer: -12*l + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011188433 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 866.6 + -1394.5. Let x = -555 - f. Round x to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7140.806 weeks?\nAnswer: 4318759468800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2\/3*l**3 - 11\/2*l**4 + 11*l**2 + 2\/5*l**5 + 16 + 0*l. Determine z so that g(z) = 0.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4579859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011306856 to four dps.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/1097?\nAnswer: 4\/1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 615 - 207. List the prime factors of d.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/30 + 2*m**3\/15 + 6*m**2\/5 + 95. Solve g(b) = 0.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f + 3 = 0. Suppose 4*b = 5*b - f. Is (-1)\/b - -11 - 2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021011 + -10000?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12 - 8*z + 8 + 0*z**3 - z**3 + 8*z**2. Let g be h(6). Solve 0*q = -5*q + g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.27 - -11.7. Let w = 0.0189 + -1.0189. Which is the biggest value? (a) -3 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 848167*u**5 - 792740*u**2.\nAnswer: 50890020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*t + 12*t + 42. Factor -136*n + 5*n**2 + 968 - 3*n**t + 48*n.\nAnswer: 2*(n - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727 greater than 727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 21*n**2 - 19*n + 62. Calculate p(-20).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:22 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9255793.082 less than 155.64?\nAnswer: 9255948.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 8*i - 5*i + (-4 + 4 + 1)*(i - 2*i - i) - 3*i + 3*i - 2*i)*(-3*i + 4 - 3*i + 7*i).\nAnswer: -5*i**2 - 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*r + 2179 + 3556. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8426 + -5347. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sudr when four letters picked without replacement from jshrshudd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1205 or -1204?\nAnswer: -1204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 753*0.3\nAnswer: 225.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Suppose -3*c + 13 = 3*i - 5, -10 = -c - q*i. Let n be (-7 - -20)\/(24\/(-6) - -5). Solve -n = -c*b - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*r - 12 = 0, 176*z + 3*r = 173*z - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*k - k = -754, -k + 5 = 0. Factor c*q + 111*q**2 + 41 + 45 - 8 - 24 + 12*q**3.\nAnswer: 3*(q + 3)*(q + 6)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/126 + (-4)\/14\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 8 = 2*c. Let k be 10\/4 + 1\/c. Solve -k = -2*s + 2*o - 16, -2*s + 6 = 2*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13263.5 + -144?\nAnswer: 13119.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 70. Which is the closest to 2\/5? (a) n (b) -3\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -143*l - 81*l + 39*l + 54*l**2 + 30 + 31*l**2.\nAnswer: 5*(l - 2)*(17*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 707, 1059, 1411?\nAnswer: 1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000093538623 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88a86 (base 13) in base 3?\nAnswer: 110121000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(-24)\/(-18). Let g(b) = -3*b**2 - b - 1. Calculate g(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61013 + 50.26.\nAnswer: 61063.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**3 - l**2 + 4*l + 1. Let u be m(-2). Let q = u + 87. Is (-11)\/((0 - q\/(-124))*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1445, 4226, 7047, 9914, 12833, 15810?\n\"Answer: a**3 + 14*a**2 + 2732*a - 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 5*w + 10*o, 3*w - 4*o = 26. Suppose -8*p - w*p = -100. Suppose 0 = 3*n - 3 - 3. Calculate the greatest common factor of n and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nms when three letters picked without replacement from {d: 1, u: 5, m: 1, n: 2, s: 2, e: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7707567011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*-0.1.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**5\/60 + d**4\/8 + d**3 - 3*d**2. What is k(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*r**3 + 96*r**2 - 291*r**2 - 530*r**3 + 92*r**2 + 103*r**2.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scsc when four letters picked without replacement from ggsggccs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:49 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2. Let m(c) = -1 - 2 - c - 3. Let y be m(-4). List the prime factors of r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9434.4 rounded to the nearest 100?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -345*-4*(-3)\/(-30) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542.3867ml in litres?\nAnswer: 0.5423867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 5, 7, 19, 47, 97?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -7, -0.4, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 79*q - 20. Let y(i) = 39*i - 8. Suppose -24 = 4*r - 0*l + 2*l, -20 = 2*r + 5*l. Let m(d) = r*y(d) + 2*p(d). Let w(f) = 4*f**2. Give m(w(n)).\nAnswer: -148*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238829485 by -3.\nAnswer: 238829485\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(5\/3)*g)**37\/(g*g\/((g**(5\/4)*g)\/g)*g)**(3\/2) assuming g is positive.\nAnswer: g**(3193\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326973541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*l - 24800 = 12868 - 12360 for l.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f*f*((f*f**(-2\/17)*f)\/f)\/f*f)\/(f*f*f**(2\/3)*f*f\/((((f*f**(-8\/9)*f*f)\/f)\/f)\/f)))**(-1\/23) assuming f is positive.\nAnswer: f**(409\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*q - 190*q + 924 = -314*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 93.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:12 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f - 4 = 0. Let o be f - (-3 + 0\/1). Solve -2*v + o*d + 4 = 2*v, -2*v + 14 = -4*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**7\/30 + q**4\/24 - 8*q**2. What is the second derivative of x(n) wrt n?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151 - 3?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 846*i. Let h(j) = j. Give h(q(n)).\nAnswer: 846*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 4. Let v be g(6). Suppose 0 = -h - 55 + 56. Sort 5, h, v.\nAnswer: h, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0867 * 1.112\nAnswer: -0.0964104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -185352?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*1828.\nAnswer: 438.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22767077 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*322\/35*15\/6. Sort 3, 2, l in increasing order.\nAnswer: 2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -869, -1959, -3477, -5417, -7773?\nAnswer: -10539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 312045 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4 - 3 + 5 - 3 + 1 - 1 - 1 + 1 + 3 - 3 + (1 + 0 - 3)*(-2 - 1 + 4))*(64*w + 8*w + 1421*w) as r + b*w and give b.\nAnswer: -5972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25116\/5 + 4877. Let l be -63*(7\/3 + 0). Let g = s - l. Which is the biggest value? (a) -0.8 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 8:58 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1716*x**3 + 578*x**3 - 876*x**3 - 101*x**3.\nAnswer: -2115*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -77687\/112 at least as big as -693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3524 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 14\/4 - (-9)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107121?\nAnswer: 3, 7, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38a + -b?\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2116 = 2*v, 0 = 8*v - 4*v - 2*u - 4224. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(9\/8))**(1\/59)*((k**(-2\/7)*k)\/k*k**(-3\/7)*k)**(13\/2) assuming k is positive.\nAnswer: k**(3089\/1652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(60\/505) + 6\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 2*s - 2*s)*(2*s - 5*s - 2*s)*(-5 + 2 - 6)*(s + 4*s + 5*s).\nAnswer: 900*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y - 1)*(-62 + 129 - 66 - 3*y + 3*y**2 - 34*y**3).\nAnswer: -34*y**4 + 3*y**3 - 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114205 is divided by 351.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20807*l**3 - 8*l**2 + 1135638.\nAnswer: -62421*l**2 - 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*g + g - 3*g)*(-g - 2*g + 2*g) - 1257*g**2 - 927*g**2 + 3022*g**2)*(5*g + 4*g - 5*g) to the form n*g**3 + x + h*g + r*g**2 and give n.\nAnswer: 3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7*d + 463 = 4*o, -d + 153 = 2*o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000382223313 to five decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510265562 and 538.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*l - 36 = -56, -2*l - 12 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/15 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271\/40 + -32\/5. Let p = 513\/7 - 73. Let l = -694\/855 - -2\/171. Which is the second smallest value? (a) l (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = y. Is -2\/345 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200022222 - 2?\nAnswer: -2200100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -12 - 14*f - 9*f + 14*f**2 - 13*f + 7*f**2 = 0. What is f?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 22*q - 4*w - 28 = -91, 4*w = 64. Let x be ((-4)\/6)\/(2\/(-12)). Suppose 0*u = -2*u + 14. Solve -q = -x*l + u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.364 - 0.726. Round v to 1 decimal place.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 5, -3 in ascending order.\nAnswer: -3, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1519*o - 77. Let z(s) = 36 - 97 + 31 - 40*s + 32. Calculate 2*m(p) + 77*z(p).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1261688 (base 13) to base 6.\nAnswer: 323040552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6569 rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-20)*265)\/(110\/88)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 take away 0.12898?\nAnswer: -272.12898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 917.53018 rounded to 0 dps?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2 - 2 - 2)*(0*j + 9*j + 0*j + (1 - 1 - j)*(-1 + 2 + 1) + 2*j + 3*j - 7*j - j + 2*j + j).\nAnswer: 7*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 9 - 44 = 0. Let f = -3 + i. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 994256893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*i + 15*i = 88*i + 6 + 586 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2130*w + 2171. Is b(46) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 151062656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 74033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37853111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4603380 and 136630?\nAnswer: 59843940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o. Let l = -2194 + 5231. Let d(w) = -l + 3037 + 2*w. What is d(g(y))?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h**3 + 5*h**2 - 7*h + 5. Let f(z) = z**3 + 10*z**2 + 12*z + 30. Let c be f(-9). What is the units digit of a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from {f: 1, w: 1, m: 2, r: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 + (-9)\/6*-2. Is 4\/(-6)*(-7833)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from {b: 2, t: 4, c: 2, e: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 9\/85, 0, 4, 23 in decreasing order.\nAnswer: 23, 4, 1\/5, 9\/85, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3555*a**3 - 3557*a**3 + 7107*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 2231, 5214, 9619, 15578?\nAnswer: 23223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -55, 2, -3.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19353*l - 19353*l + 21*l**4 + 4*l**4 - 5*l**4 - 2*l**4 + (-2*l**2 + l**2 + 2*l**2)*(-3*l**2 + 2*l**2 + 2*l**2) - 2*l**4 + 4*l**2 - 4*l**2.\nAnswer: 17*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-19))\/18)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98062008241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (39\/(-104))\/(8\/(-64)). Factor 1\/2*a**g + 0 + 3\/2*a - 5\/2*a**2 + 1\/2*a**4.\nAnswer: a*(a - 1)**2*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43564 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -482933032 divided by 608228?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*j + j + 2995 - 2988)*(2*j**2 + 4*j**2 - j**2 + (3 - 1 - 4)*(-j**2 + 7*j - 7*j)).\nAnswer: -210*j**3 + 49*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3772.902 millennia in decades?\nAnswer: 377290.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 4*n**2 - 2*n + 4. Let s be i(0). Solve 0 = -2*m + s, -35*m - 6 = k - 40*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 294100 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5875 divided by 1175.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**3\/2 + b. Let j(o) = -19*o**2 + 26*o + 26. Let t(a) = 9*a**2 - 12*a - 12. Let k(r) = -6*j(r) - 13*t(r). Give k(d(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 19*q**2\/4 - 45*q\/2.\nAnswer: -q*(q + 9)*(q + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4553 + 4483. Which is the nearest to t? (a) 0 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 900819270 less than 11?\nAnswer: -900819259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -8. Let c(m) = -m + 13. Let y be c(0). Suppose 9*d - 4*d - 2*r - y = 0, -4*d = -o*r - 20. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23575666 to the power of 1\/2, to the nearest integer?\nAnswer: 4855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2736\/(-450) - (-2)\/25) + 7. Is -17\/251 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 163, -2\/3, 0.5, -0.12, -13, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 1975152139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/25)\/(20\/150)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*t, 18*c - 2*t = 14*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-3)\/9 - 0). Let r = z - 3. Factor r*i + 1\/3*i**2 - 1\/3.\nAnswer: (i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/7 - 3140*l**3\/7 - 1506618*l**2\/7 - 201097336*l\/7 + 202607096\/7 = 0 for l.\nAnswer: -674, -223, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (316 + -315 + 7 + 2 - 27)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*c + 46. Let v = 34 + c. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 smaller than -12.18434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 96\/8*4\/(-8) - -15. Solve t + 20 = -3*t, -3*h = -3*t - d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*f + 294 + 6629 = -1791*f + 1635*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*l + 6, 2*r + 11 = -l + 2*l. Let c be (-11)\/((-3)\/(0 + r)). Let q = 3 - c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12233550?\nAnswer: 2, 3, 5, 7, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/30 + x**4\/4 - x**3\/2 - 88*x**2. Let s(u) = 5*u**3 + 7*u - 4. Calculate -4*r(o) + 3*s(o).\nAnswer: -o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1211731, -1210973, -1208919, -1204921, -1198331, -1188501, -1174783, -1156529?\nAnswer: -1133091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2139251 litres in millilitres?\nAnswer: 213.9251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -11)*8\/((-240)\/(-3)) - 1. Which is the second smallest value? (a) -0.4 (b) -0.5 (c) -1 (d) -24 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9306*p. Let r(a) = 2*a. What is s(r(b))?\nAnswer: 18612*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 4. Let u = 11 + g. Suppose 4*r - 218 = u*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 139840.63?\nAnswer: -139841.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 76656, 76657, 76668, 76695, 76744, 76821, 76932, 77083?\n\"Answer: p**3 - p**2 - 3*p + 76659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/2957, 3\/44, -5?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + -2135?\nAnswer: -2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t**1*t)\/t)))**(-32))**(-43) assuming t is positive.\nAnswer: t**1376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/11 + 1)*(23 + -21)*(-5)\/(-40).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2159.5 - -2159.499954249. Round c to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11241315 (base 6) in base 7?\nAnswer: -2645411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*n + 76 = 84, 5*d - 5*n - 20 = 0. Which is smaller: d or 2\/177?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(32\/36544). Let a = j - -574. Suppose 0*f + 3*f = 9. Solve m = -a*m + 4*p, -4 = -f*m + 5*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s**2 + s**2)*(-2*s**3 + 4*s**3 + 0*s**3) - 7*s**5 + 5*s**4 - 635 + 4*s**5 + 548.\nAnswer: s**5 + 5*s**4 - 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16084.038 months?\nAnswer: 134.03365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axg when three letters picked without replacement from faabvxg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/15)\/s*s**(2\/11)*s)\/(s\/(s\/s**(-1\/4))*s**(-1)))\/(s**(-2)\/(s*s**(-3)*s)*(s*s**0*s)**(14\/9)) assuming s is positive.\nAnswer: s**(-1081\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21 + 19)*(12\/(-16) - -1). Solve x*o = 38*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 36 + 24*i - i**2 - 4*i**2 + 3*i**2.\nAnswer: -4*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 1\/4 (c) 17 (d) 22\/5 (e) -5 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 12 - 11 - g**3 - 2*g**4 in the form u + h*g**4 + w*g + a*g**2 + n*g**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.224662l to millilitres.\nAnswer: 2224.662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522312.\nAnswer: 2, 3, 7, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 116168 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*b - 9 = 0, 5*b - 1197 + 1231 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -8\/5, 1\/3, -5, -8, -1.09, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c**2. Let b(z) be the first derivative of 17*z**2\/2 - 258. Calculate i(b(f)).\nAnswer: 2601*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1022112 (base 3) to base 4\nAnswer: -32333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51567 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 39482343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -843, -880, -941, -1026?\n\"Answer: -12*n**2 - n - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 262812497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5467, -2, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9582.313cm?\nAnswer: 0.09582313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -2. Let m = 143251 + -1294418\/9. Let b = 573 + m. What is the nearest to q in -1, b, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 42. What is the least common multiple of 12 and i(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92393 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 9*h = -4. Suppose 0 = r - 12 - h. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5\/7 + 96*u**4\/7 - 771*u**3\/7 + 1686*u**2\/7 - 144*u = 0. What is u?\nAnswer: 0, 1, 2, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 123.93. Let l = -0.63 + i. Which is the second smallest value? (a) -4 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20820 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -6. Let l be ((-16)\/(-8))\/(-2 + i). Let q be 0\/1 - (3 - -1)\/l. Solve q*x + 10 = -0*x + k, 4*x + 4*k = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 44.19. Let k = y - 0.49. Let o be -2 + (-5)\/((-75)\/40). What is the closest to o in -4\/5, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*h**5 - 3*h**4 + 63*h**2 - 2*h.\nAnswer: 3660*h**2 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) -3 (b) 18\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166401.\nAnswer: 3, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t - 156810 = -55*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 46*d - 2856.\nAnswer: 2*(d - 28)*(d + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74202*i**4 + 78824*i?\nAnswer: -890424*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54902, -109992, -165268, -220730?\n\"Answer: -93*x**2 - 54811*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 + 4. Let z(l) = -3*l**2 - 2. Let x(f) = -d(f) - 2*z(f). Let g(m) = -84*m + 2. Determine g(x(o)).\nAnswer: -168*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 + 6*t - 5 + t**2 - 4*t**2. Let v be l(-11). Let b = -20 + v. Solve -y - 5*o - b = y, -19 = 3*y + o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8232\/10290)\/(22\/(-5))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 887.9 - 881.9. What is the nearest to 44 in -4, g, -0.4, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14624279 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 122918922 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**2 + 39*u + 2*u**2 + 3*u**2 + 5*u**2.\nAnswer: -7*u**2 + 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 8*m**2 - 3*m - 2. Suppose -28 = 3*q + 4*l, -5*q - l - 12 = 29. Is p(q) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 938 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/34? (a) -5 (b) -6\/29 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 - x + 1. Let l(p) = -4*p + 1. Let b(r) = r. Let o(f) = -3*b(f) - l(f). Let v(z) = 2*o(z) + 2*s(z). Let y(u) = 2*u. Calculate y(v(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -1\/192, 2\/9, 0.4, 1\/38?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 29. Suppose v = 10*f - 6870 - 21580. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1370\/(-548)*(0 + (-52)\/10)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30, 0, 4.\nAnswer: -30, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155.375 rounded to the nearest 10?\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 48688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 4*d - 2*d)*(-11 + 4 - 7)*(3*d - d - 12*d)*(-2*d - 8*d - 3*d).\nAnswer: -3640*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16467, 33360, 50683, 68436, 86619, 105232, 124275?\n\"Answer: 215*u**2 + 16248*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + v)*(-1 - 1 + 3)*(649*v**2 - 649*v**2 + 66*v**3) + v**4 + 0*v**4 + 0*v**4.\nAnswer: 67*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g + 1. Let c(o) = -4*o. Let r(s) = -3*c(s) - 2*p(s). What is the lowest common multiple of 1*9 + -1 + 1 and r(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3142 bigger than -3098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -15.4368.\nAnswer: 308.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 11*r**2 - 22*r + 10. Suppose 2*v = -2*k + 508, -3*v + 265 = -5*k - 497. What is the remainder when v is divided by t(7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.0067?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)\/t)\/t)\/t*t**(-1\/6)*t\/(t*t\/(t**(-6)\/t)*t)*t*t**1\/t*t assuming t is positive.\nAnswer: t**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 - 1. Let d(w) = -14*w**2 + 23*w**2 - 2*w**2 - 7 + 9*w**3. Determine -2*d(m) + 14*h(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*13*3\/468?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 6*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 153041181 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -318431.\nAnswer: -318431.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 15) in base 16?\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + 1 + (-5 - -16 - 25)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 6*v**2 + v + 6. Let q = 10 - -9. Suppose 0 = -14*y - q - 65. Calculate h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43 or -1529?\nAnswer: -1529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*t + 182 = 984 + 155. Solve 7*k = t*k - x + 5, k = 4*x - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 20657016?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -200312002102 (base 4) in base 7?\nAnswer: -133116601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 969 + -932.7. What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 54*w + 56.\nAnswer: -2*(w - 28)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -394601?\nAnswer: -1\/394601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3672 and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -8, 7 in decreasing order.\nAnswer: 7, 0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 438.74 - 446. Let f = 2.39 + g. Let w = -0.13 + f. Which is the closest to -0.2? (a) -1\/6 (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 divided by 3?\nAnswer: 370\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/3)\/(-2))\/((-196)\/147).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 794*t**2 - 293*t - 232644. Give h(-794).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 2, p: 3, w: 8}. What is prob of sequence gqw?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((53 - 20) + -40 - (2 - 14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 64.15398 kilometers?\nAnswer: 64153980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 6 (b) -0.1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13967, -56046, -126231, -224522, -350919, -505422, -688031?\n\"Answer: -14053*a**2 + 80*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + 1 + sqrt(171) + -3)**2.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.15 + -2.1347. Let k = 0.3959 + -0.3759. Let h = k - f. What is h rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3)**5*(n**14\/n*n)\/(n\/(((n*n*n**(5\/4)\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**9\/3024 + p**5\/40 - p**3\/3 + 3. Let v(l) be the third derivative of r(l). What is the second derivative of v(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.05653, -2, -1\/4, 0.45, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g. Let l(n) = 13*n. Let d(r) = -77*r. Let z(v) = -6*d(v) - 35*l(v). Calculate z(i(w)).\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-3*y**2 + 0*y**2 + 7*y**2) + (0*y + y + 0*y)*(-120 + 73*y + 120) to z*y**2 + l + c*y and give z.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1370 + 932. Suppose -g + 4*i = -20, 2*g + 55 = 3*g + 3*i. What is the common denominator of -9\/5 and 9\/12 + a\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-27)\/15)\/(36\/(-19620))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i. Let l(h) = 62*h - 45 + 7 + 15 + 12 + 9. Determine l(q(j)).\nAnswer: 248*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.13979+0.22\nAnswer: 0.35979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304834, -304849, -304866, -304879, -304882?\nAnswer: -304869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45324, 181149, 407508, 724395, 1131804, 1629729?\n\"Answer: -s**3 + 45273*s**2 + 13*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4429 plus -4?\nAnswer: -4433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8577 + m - 566 + 817 + 630.\nAnswer: m + 9458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (20 + 8)) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 12 + 33 + -38.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3254633521 - 2?\nAnswer: 3254633516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/9 + 17\/18. Let s = -1.59 + 1.59. What is the closest to t in -1\/3, 0.01, s?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6 - (-30)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6*f - 3944 = 0. Suppose 0 = 7*h - f - 18. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.61 + 0.7504. Round m to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*h = 2, -8*h = -3*q - 4*h + 26. Suppose -11 = 3*j - 4*k, 2*j + 5*k - 2 = 6. Let w be 4\/(-2)*9\/j. What is the highest common divisor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -2\/5, 1, -0.024, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h)\/(h*h**15) assuming h is positive.\nAnswer: h**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -28, 153, 4 in increasing order.\nAnswer: -28, -4, -3, 4, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + -1. Let q be ((-42)\/(-8))\/((-6)\/(-16)). Let g = q + v. Solve -4*l = -g*b + b - 20, -b + 2*l - 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.93 - 0.07. Let w = -2 - l. Let g = 35 - 29. What is the smallest value in w, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131332775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1005 + -1010. What is the nearest to 1\/4 in 0.03, -0.2, n, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31867 = o - r, 12*r - 9*r = -o + 31867. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - 3. Let c be (s\/(-28))\/((-4)\/(-14)). Solve -3*b - b + 4 = -c*x, 11 = -b + 4*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) 0.4 (c) 28 (d) -15 (e) -2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8686 + 3935*i - 8686)*(4*i**2 - 2*i**2 + i**2).\nAnswer: 11805*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*m = -248*m - 32 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0214 - 4.2986. Let a = f + 4.32001105. What is a rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120220221022 - -2?\nAnswer: 120220221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6947734 decades in centuries?\nAnswer: 0.06947734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 84*j**2 + 799*j - 5. Let v(c) = -2*c**3 - 210*c**2 - 1996*c + 12. Let m(p) = -12*a(p) - 5*v(p). Find g, given that m(g) = 0.\nAnswer: -7, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-18)*i)\/i**(1\/31)*(i*i\/(i**23\/i))**(-2\/67) assuming i is positive.\nAnswer: i**(-34136\/2077)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13.5 or 16\/7?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 11*a**2 - 5*a + 9. Determine d(11).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-2) - 2\/4. Let t = -59 - -237\/4. Factor 1\/4*c - 1\/4*c**2 - t*c**b + 1\/4.\nAnswer: -(c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 47. Let t(i) = i**3 + i + 5. Let w be t(0). Put 0, j, w in descending order.\nAnswer: w, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.86 + 0.14. Let m = -11 + c. Suppose 4*j - 2*d + 4 = 2*d, -4*j - d + 1 = 0. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25083*t*x**3 + 12*t*x**2 - 625124*t*x + 33*t + x**3 - 19*x**2 wrt x.\nAnswer: 150498*t*x + 24*t + 6*x - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*k**2*y**2 + 2*k**2*y - 104*k**2 - 1464*y**2 - 4542*y wrt y.\nAnswer: 130*k**2 - 2928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 23312*w - 256460. Give i(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -216.65 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*n*s*u**3 + 2083*n*s*u + 2*s*u**3 - s*u**2 + 1079*s*u + 7 wrt n?\nAnswer: -15*s*u**3 + 2083*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -5. Let k = u - 112\/3. Let g = 6 - 9. What is the third smallest value in g, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1772700*w. Let o(g) = -4*g**2. Determine l(o(y)).\nAnswer: 7090800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**6\/10 + 33*y**5\/5 + 219*y**4\/2 - 506*y**3 + 1587*y**2\/2 + 53*y - 2. Determine b so that v(b) = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 250 = -5*i. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6945 + 7*z**2 - 6945.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5148\/(-3861))\/((-1)\/27)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 4. Let z(l) = l**3 + l**2 + 3. What is 3*t(j) + 4*z(j)?\nAnswer: 4*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11750, -11759, -11768, -11777, -11786?\nAnswer: -11795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16907961 = 2*n + 3*b + 16907955, -5*n + 4*b + 38 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and -25191.\nAnswer: -25191.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -19*1208\/(-16)*134. Factor 192223 - z**2 + z**3 - p.\nAnswer: z**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4241, -4233, -4211, -4169, -4101?\n\"Answer: i**3 + i**2 - 2*i - 4241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 26342 + 3410. List the prime factors of b.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 11*v**2. Let c(z) = z**3 - z**2. Let h(i) = 3*c(i) + f(i). Find the third derivative of h(a) wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10953281?\nAnswer: 10953281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8874 divided by 1.\nAnswer: 8874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -293777 and 27.46813?\nAnswer: 293804.46813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + 3*(-5)\/105?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234302*y**4 + 3304*y wrt y?\nAnswer: 2811624*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**3 - r**3 - 20 + r**3 + 21 as s*r**3 + q*r + t + z*r**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtvw. What is prob of picking 1 q and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012210 (base 3) in base 6?\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3*z + 12. Let t be 200\/60*6\/z. What is t rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 368, 665, 962?\n\"Answer: 297*a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = s + 2*s + 5*j, -5*j = 0. Let d(z) be the second derivative of -1\/5*z**s - 4\/3*z**3 - 3*z - z**4 + 0*z**2 + 0. Factor d(c).\nAnswer: -4*c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*g**4 - 110 + 110)*((-4 + 0 + 5)*(0*g - g - 2*g) + g - 3*g + 0*g).\nAnswer: 280*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -352 - -358. Suppose 2*w + 2*w = 120. Calculate the greatest common divisor of w and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - -47295*36\/47304?\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/47 in -0.2, 5, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9621.709 years?\nAnswer: 96.21709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1164*z - 3271. What are the prime factors of m(-31)?\nAnswer: 11, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 264424.\nAnswer: 793272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 516633?\nAnswer: 11882559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(6 + 23384\/(-3896)). What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51140199961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 341922*h - 2051424.\nAnswer: -3*(h - 113968)*(h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 1, z: 2, d: 2, y: 3, w: 3}. What is prob of sequence ydsy?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000038644644 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11229027770 to the nearest one million.\nAnswer: 11229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-135)*9)\/((-24)\/80)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/21*(26\/(-78))\/((-1)\/(-3))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(80) + 3)*6 - (1*sqrt(80)*-2 + sqrt(80) - (sqrt(80) + -2 + -1)))**2.\nAnswer: 1024*sqrt(5) + 5376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2485.396 litres to millilitres.\nAnswer: 2485396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-201)\/(-9) + 6 + 48\/(-9). Which is the smallest value? (a) j (b) -2\/13 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2701 - -2725. Calculate the greatest common divisor of r and 291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -239, -3, 0.2, -83, -2\/9 in increasing order.\nAnswer: -239, -83, -3, -0.9, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*m + 135*m - 409 = 262*m - 28789 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 510.5 + -510. Let y be (3\/(-10))\/((-3)\/4). What is the smallest value in v, y, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5419560 divided by -40.\nAnswer: -135489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2 (c) -1\/10 (d) 38 (e) -6\/7 (f) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*x + 88 = 0, 5*r = 3*r + 4*x + 24. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = m + 5*b, 33*m - 32*m - 2*b + 2 = 0. Let v(g) = -g**3 + g**2 - 3*g + 5. What is v(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**4\/12 - 2*x**3\/3 + 13*x**2 + 2*x. Calculate the lowest common multiple of t(-6) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) + (-79885)\/(-39). Find the third derivative of z + 13*i**3 - 2048 - 77*i**2 wrt i.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53127 + 0.13127. Which is the closest to 0? (a) 19 (b) g (c) -0.1 (d) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26304 is divided by 2864.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.00687 * -1.158\nAnswer: 0.00795546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 + 34*j - 36*j - 3*j**3 in the form r*j**2 + p*j + m + a*j**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 318713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56676 by -4.\nAnswer: -14169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1023991 + -91.\nAnswer: -90.8976009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 8*b**2 + 4*b - 13. Let q be p(-7). Let i be (2\/1)\/(q*5\/20). Are 0 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 18*u + 561. Let n be y(34). Solve -n*i = 16 + 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -21*b + 35. List the prime factors of v(-15).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1735827, 1735818, 1735809?\nAnswer: 1735800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 1349*m - 8162. Determine w(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 13*w**2 + 18*w - 1. Let n be h(14). Let o be 636\/(-10) + (-2)\/5. Let y = n - o. Is y composite?\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 {y: 1, w: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79864.\nAnswer: 2, 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91*q - 741 wrt q?\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 11600725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/4 + 192*n + 36864 = 0.\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*b - 148*b = -8. Sort 233, -3, b in increasing order.\nAnswer: -3, b, 233","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/4*(11 + 0 + (-96735)\/6449).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -576a4 (base 11) to base 16.\nAnswer: -145a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-4)*(-264)\/110)\/((-150)\/(-20)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 1:43 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 w when four letters picked without replacement from wswssxswsxwxwxwws?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 6612751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7349*i + 20. What are the prime factors of u(6)?\nAnswer: 2, 7, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.98 - 0.02. Let t = 4 + s. Let x be 5\/((-110)\/(-4)) + 0. What is the closest to -0.1 in -5, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*b - 7*b + 11, 3*u = 4*b - 15. Let l(m) = m**3 - m**2 + 2*m - 1. Let d(c) = c**2 + 1. Let f be d(0). Let t be l(f). Solve 4*q - b*q = t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-129194)\/(-5) + 3 - (-132)\/(-165) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/4)\/(1\/(-1)))\/((-18506)\/(-703228))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -79619*a - 79151. Calculate h(-1).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-48)\/(k\/(k\/(k\/(k\/(k*k*k**1*k*k)*k))*k))**17)\/(k\/(k\/k**(5\/2))*k**3*(k*((k*k\/k**(-1\/4))\/k)\/k)**(26\/7)) assuming k is positive.\nAnswer: k**(-764\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -202\/9, -1\/4, 3, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(6)\/(-3*sqrt(363) - sqrt(3) - sqrt(3)))**2.\nAnswer: 6127\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34247, -68754, -103249, -137726, -172179, -206602, -240989, -275334?\nAnswer: -309631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(7060\/(-9884)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6335 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1837*w + 3715*w - 1850*w + w**3 - 17*w**2 to the form p*w + y*w**3 + f*w**2 + m and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + -3 + sqrt(612) + sqrt(612) - 1*(sqrt(612) + 3 + sqrt(612)))*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158511 is divided by 3302?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22635870559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/6 + 11*g**4\/2 - 79*g**3\/6 - 313*g**2\/6 + 13*g + 140\/3 = 0.\nAnswer: -35, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 10*l**2 + 34*l - 59. Calculate the remainder when 142 is divided by k(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**4*(i\/(i**(-10)*i))\/i)**(2\/115))**(27\/4) assuming i is positive.\nAnswer: i**(81\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 - (-78)\/(-21). Let d(l) = -7*l**2 + 3*l**2 + 7137*l**3 - l - 1 - 3525*l**3 - 3613*l**3. What is d(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*m = 5, -4*m = 22867*j - 22863*j + 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 + 2*u - 6. Let n be i(5). Solve -4*z - 2*x - 4 = -6*x, 2*z + n*x = -20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ikimi?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2736)*-2)**2 + (sqrt(1216) + -1)**2 - (sqrt(19) + (-2*sqrt(95))\/sqrt(5) + (0 + sqrt(304) - sqrt(304))**2)).\nAnswer: -48644 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.031 (b) -0.3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20596 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25917109 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 2 - 5 + 12*i + 0*i.\nAnswer: 13*i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -1, 16, 51, 110?\n\"Answer: x**3 - 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/2705 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/20)\/(21\/910)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979748037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1) + -28 + -6 + 2. Calculate the remainder when 41 is divided by (o\/22 - 3\/(-2)) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u + 200 = -40*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i\/i**(-1\/3))\/i))\/i)**(7\/3))**45*(i\/(i**(-1\/4)*i*i))**(-27\/7)*(i*i**(-4))\/((i\/i**(-1\/4))\/i) assuming i is positive.\nAnswer: i**(-495\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 + 29 - 158 - 25719*y.\nAnswer: -25719*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/8)*w**(-8))\/(w\/(w\/(w\/(w*w**(-1\/3)))))**(2\/13))\/(w*w**(-10)\/w*w*w*w**(-4\/5))**47 assuming w is positive.\nAnswer: w**(632071\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -29. Let x(y) be the third derivative of -1\/6*y**3 + 0*y - y**a + 0*y**4 + 0*y**5 + 1\/210*y**7 + 0*y**6 + 0. Differentiate x(v) with respect to v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from xniixiiininxinniixn.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28690, 118379, 269068, 480757, 753446, 1087135, 1481824?\n\"Answer: 30500*t**2 - 1811*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 3*g = 129, 4*k - 2*g + 4*g + 52 = -g - 39 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.1 (b) -0.01 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, -2 in ascending order.\nAnswer: -2, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8827 is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a second in milliseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3) + -3 + 7. Suppose -1032 = -d*o - 3*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*q + 314, -5*q + 8*q = -3*r + 888. Suppose x = 4*p - 722, x = -2*p + 65 + r. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4*z**2 + 371*b**4*z + b**2*z - 107*b*z**2 wrt b.\nAnswer: 48*b*z**2 + 8904*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/2)\/j)**(-2\/13)\/(j**(-1))**(-23) assuming j is positive.\nAnswer: j**(-300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -2)\/1 + -1. Let t(x) be the third derivative of -x**5\/60 - x**4\/24 - 3*x**3\/2 - 3*x**2. Give t(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-47)\/(-141) + 1289\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {q: 2, v: 7, d: 1, p: 6, a: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 405276088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -659092, -1318183, -1977270, -2636353, -3295432, -3954507?\n\"Answer: 2*q**2 - 659097*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 46*h + 159. What is n(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*u + 5*z - 29, 0 = u + 5*z - 2. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -24, -1, 5 in descending order.\nAnswer: 5, 3, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2264173138 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40068 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/23)*i*i)\/i)**(-6))**(1\/70) assuming i is positive.\nAnswer: i**(-15\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2167 - 2452 = -28*o - 29*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 3:48 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -131, 4, -4, 5, 158, 0.094 in increasing order.\nAnswer: -131, -4, 0.094, 3, 4, 5, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 7*k - 6. Suppose 0 = 4*r - 4, -k*p - 3*r + 8*r - 5 = 0. Let c(b) = b - 1. Let l be c(4). Solve -l*v = 3*y - 0*v - 12, y - 5*v + 2 = p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 105*u + 94. Give p(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2652*q + 662. Is 98 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17045 by 6.\nAnswer: 17045\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -356, -5, -16, -3.\nAnswer: -356, -16, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, r: 2, m: 2, k: 1, u: 4, d: 2}. What is prob of picking 1 k, 1 u, and 2 r?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/15 + (-122)\/(-6)*4. Let g = j - 79. Let o(k) = -k - 7*k + 6*k - g*k**2 + 2. Determine o(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10101100100?\nAnswer: -10101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:57 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/12 - 4*x. Let g be y(5). Let q be (0\/2)\/(12 - 11). Solve -4*f - f - g = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cavcvcc. Give prob of picking 2 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/11, 56, -0.218, 42.\nAnswer: -0.3, -0.218, -1\/11, 42, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -72786219 + 55296.04\nAnswer: -72730922.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 - -9.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -519, -2070, -4655, -8274, -12927?\n\"Answer: -517*s**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780 = 5381341*c - 5381302*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*f*k**2 + 321*b**2 - 7*b*f*k**2 + 43*k**2 wrt b.\nAnswer: -2*f*k**2 + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16040699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 3:18 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 - 4*f - 5. Let h(p) = 2*p**2 + 21*p + 6. Suppose 23*v + 20 = 21*v. Let j be h(v). Determine n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**8\/3024 + w**7\/945 - w**5\/270 + w**4\/216 - 31*w**2. Factor c(t).\nAnswer: -t*(t - 1)**3*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (sqrt(34)*1 + sqrt(34))*3 - sqrt(34))\/(sqrt(2) - sqrt(20)\/sqrt(160)) + 1.\nAnswer: -8*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000034987312 rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 371\nAnswer: 37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1, -5, 14\/3?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285197868 + 11407202717\/40. Let l = 17798 + g. Calculate the common denominator of l and -73\/22.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11956558?\nAnswer: 2, 5978279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*k**2 - 254*k**2 + 766*k**2 + 6*k - 6*k - 249*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2 + 1. Let f be u(-1). Suppose -i = -2*n - 0*i - 23, i = -n - f. Is -14 - n - 1485\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 36 = 2*q, -2*h = 3*q + 2*q - 50. Suppose 167 = h*i - 1513. What is the highest common factor of 112 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u - 89 = 61 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14240 times 3?\nAnswer: 42720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4378745504.\nAnswer: 2, 7, 19547971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2539725598900.999999443 - 2539725597764. Let a = r + -1137. Round a to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = v - 25. Let u = v + -30. Calculate the highest common divisor of 95 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - (-2 - -10))\/((-6)\/(-3234)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (496 + 0)*12500\/20. Round n to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -90639?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**3 + 32*s**2*u**3 - 21101*s**2 - 8*s - 2069387*u**3 wrt s.\nAnswer: 24*s + 64*u**3 - 42202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.3 + -0.7. Let o = -10 - r. Let z = 8.6 - o. What is z rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 1330950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 - 137 = -62*s + 297 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1479 + 4373. What are the prime factors of o?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 14*b - 10. Let p = 7 + -1. Suppose -5*i - 51 = -p. Is k(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + 2 + -9 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1195456207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-50*p**2 + 19*p**2 - 21*p**2)*(-14*p**2 - 3*p**3 + 0*p**3 + 12*p**2).\nAnswer: 312*p**5 + 208*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42123 + 332332?\nAnswer: 260206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -175, -229, -283, -337, -391, -445?\n\"Answer: -54*v - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*p**3 - 136*g*p + 107*g wrt p.\nAnswer: 3*g*p**2 - 136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(0 - -2) + ((-1425)\/50 - -33)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-19 + 1)) + -17 + 9 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7087478 divided by 5\nAnswer: 7087478\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 21 = 2*w. Let n = -751 + 762. What is the remainder when n is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 203, 344, 467, 566, 635, 668, 659?\n\"Answer: -t**3 - 3*t**2 + 157*t + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d3edb + -1?\nAnswer: d3eda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-6))\/(6*((-392)\/(-21))\/(-8)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50384*m - 52293*m + 105296*m.\nAnswer: 2619*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -422500\/3*n - 4\/3*n**4 - 868*n**3 + 0 - 141700*n**2 = 0.\nAnswer: -325, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 12*c**2 + 10*c + 15. Let y be x(11). Suppose y*r = -5*d + 127, 5*d + 75 = 4*r - 22. Suppose v - r = -12. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 23*t + 14. Let h(v) = 8*v**2 + 48*v + 31. What is -9*b(j) + 4*h(j)?\nAnswer: 23*j**2 - 15*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 47 = -7. Suppose 52*i - 7668 + 1835 = 1291. What is the remainder when i is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1972 - -1974. Let l(k) be the third derivative of 7*k**5\/60 - k**3\/3 + 7*k**2. Calculate l(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15939.605 rounded to the nearest 100?\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 19 = 3*h, -18 + 5 + 9 = -5*i + 3*i - 12*h for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(119)*1 + (sqrt(119) + 1*sqrt(119))*-4)\/(-2*sqrt(847)*-4).\nAnswer: -13*sqrt(17)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10*x = 0. Let k(b) = 1 + x*b + 2*b - 2. What is k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**3 + 20*s**3 + 0*s**2 + 12*s**3 + 0*s**2 - 43*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + i + 46. Suppose 5 = 4*d + 5*w - 9, -2*w + 5 = d. Let z(b) = b**3 - 2*b**2 + 2*b - 1. Let p be z(d). Does 14 divide r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*h + b, 0 = 14*b - 11*b - 1 - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3aa66 - -2759?\nAnswer: -38308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001789584 to 6 decimal places.\nAnswer: 0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(180) + 4 + sqrt(180) + 1)*-6 + 1*(5 + 2*sqrt(180) + sqrt(180)) + -5)**2.\nAnswer: 5400*sqrt(5) + 41400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4 + 19*a**3 - 21*a**2 - 19*a + 20 = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1213 (base 4) to base 16\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 246220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8721 divided by 8.\nAnswer: 8721\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1111101 (base 2) to base 8\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let s = 1.7 - r. Suppose 6*x = 2*x + 8. Which is the nearest to -1\/2? (a) s (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27164 at most as big as 0.68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 x when four letters picked without replacement from xflhhxxxhhffvff.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(25) - sqrt(25))*3)\/(-1*sqrt(720))*1.\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y**3 + 22*y**2. Let j(t) = -t**2. Let o(m) = c(m) + 12*j(m). What is the third derivative of o(p) wrt p?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -185265.34106379.\nAnswer: -185265.44106379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 - 12*q**2 - 7*q - 11. Let f be h(-6). Let o be (-23097)\/22 - 6\/3. Let v = f - o. Calculate the common denominator of 143\/18 and v.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0087 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -21*k + 72. Let s(d) = 28*d - 94. Let c(w) = 9*r(w) + 7*s(w). Give c(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 27 = 108 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37642.\nAnswer: 2, 11, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 4*o + 26, -p - 19 = -o - 26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -3, -42\/71, -7.7 in ascending order.\nAnswer: -7.7, -3, -42\/71, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1264 + 322?\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(3082\/(-208035)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*k + 856 - 914 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 14086716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-2)\/(-4) + -1). Suppose 0*i = 2*i - 4*k - 88, 0 = 2*k + 6. Let y be 198\/42 - (-3 + i\/14). Put y, 2, o in ascending order.\nAnswer: o, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, z: 1, m: 4, v: 2, b: 2}. Give prob of sequence sz.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -33142*n - 1292545. Determine f(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*k + 2)*(-4 + 3 + 3)*(-2250 + 2250 - 95*k**2).\nAnswer: -380*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3328*g - 16668. Give z(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvvd. Give prob of sequence vv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(8\/3)\/((u**12*u)\/(u**5*u*u)) assuming u is positive.\nAnswer: u**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -3165767.\nAnswer: -7\/3165767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 + 2*n - 3. What is w(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10) + 15730\/(-650).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2919 and 13797?\nAnswer: 1917783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from mmmmqq.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2. Let w(p) = -7*p - 100. Let n(v) = 22*v + 320. Let o(h) = 5*n(h) + 16*w(h). Give j(o(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78909, 315583, 710051, 1262319, 1972393, 2840279, 3865983, 5049511?\nAnswer: 6390869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 18*r - 339. Let h be o(19). Factor 3*q**5 + 3\/4*q**2 + 0 + 6*q**4 + 15\/4*q**h + 0*q.\nAnswer: 3*q**2*(q + 1)*(2*q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/286*(-66)\/(-12).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 7*n**2 - 9*n - 1. Let g be w(-8). Suppose -b + g = -11. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -y + 4*y, 5*x + 5*y = 565. Suppose 2*v = 701 + x. Calculate the greatest common divisor of v and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*x - 50 = 5*x, -54 = -4*h + x for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 93208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:34 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 92.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -0.05, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 134 = 7*b + 2*s, b = 3*s - 51. Let g = 45 + b. Let k be 0 - (56\/(-2) + 1). Calculate the highest common factor of g and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - u + 5. What is q(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -170\/9, 0.1, 0.3, 2 in ascending order.\nAnswer: -170\/9, 0.1, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -20. Let o(q) = -q**3 - 5*q**2 + 2*q - 8. Give o(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4202*z + 1279. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 754 - 763. Let f be (21\/4)\/(27\/(-72)). Let g = 15 + f. Which is the fourth biggest value? (a) 0.5 (b) i (c) g (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g - 19 + 19.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 11*s**2 + 20*s - 1. Let c(g) = -5*g - 1. Let i be c(-2). Let u be o(i). Calculate the greatest common divisor of u and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 9*b**2 - 20*b + 10. Determine n(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = o - 3*c + 431, 2*c = -2*o - 50 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 10 = 26, 5*n + 0*g = -6*g + 29 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -32*q + 60*q + q**2 - 7*q**3 - 3 - 31*q. Let h be (-1)\/(2*(-3)\/(-12)). List the prime factors of o(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*y**2 + 9 + 3 - 10 + 51*y**3 - 90*y**2 + 2*y to k + r*y**3 + o*y**2 + x*y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54760 - 32151. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**3 - m**2 - m. Let z be g(-1). What is the third smallest value in 0.1, z, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (255*f**2 - 3239 + 3239)*(2 - 5 + 4) to the form a*f + q*f**2 + h and give q.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 3135040?\nAnswer: 3135033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 3 - 214*t**2 - 4 - 2 + 19 in the form w*t + m*t**2 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) - (sqrt(28)\/sqrt(36))**2).\nAnswer: -5*sqrt(7) + 35\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14603122 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3\/5 (b) -4\/3 (c) -3\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-177987105)\/(-540) + 3\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 45*t - 54. Is 31 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (264\/(-4950))\/(3\/(-10)*(-21)\/(252\/(-8)))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10751799 and 107294.\nAnswer: 10859093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*((sqrt(1700) + -4 + sqrt(1700) - sqrt(1700)) + -5).\nAnswer: -10*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 64*v**3 - 5*v**2 + 384*v + 22. Is j(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1652293, -3304552, -4956811, -6609070?\nAnswer: -8261329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d = 87*d - 100*d + 2296 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/120 - (49\/(-28))\/(-7))\/(64\/1600)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3020.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 10*r - 282. Let d(b) = -b**2 - 10*b + 27. Calculate the remainder when d(-8) is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2334 + 4411?\nAnswer: 12300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 640 + -4355?\nAnswer: -3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, l: 2, z: 1, h: 4}. Give prob of picking 1 q, 1 z, and 2 l.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 461*v**2 + 881 + 4*v**4 - 461*v**2 + 107*v**3 + 674 with respect to v.\nAnswer: 16*v**3 + 321*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**8\/6720 + f**7\/1680 - f**6\/480 + f**3 + 2*f**2. Let t(b) be the first derivative of l(b). Factor t(d).\nAnswer: d**2*(d - 1)*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*z**2 - z**2 + 21*z**2 - 4 + 4 + 0.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16303775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 = -3*k. Suppose k*p = -4*u - 14, 2*u - u + 5*p = 1. Is 9 a factor of u + 4 + 70 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2, 0 = 1040*j - 1042*j - 56*f + 60*f - 32 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**5\/20 - 17*w**4\/12 + 23*w**3\/6 - w**2\/2 + 9*w. What is the units digit of p(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -v - 77 - 168, 0 = v - 3*q + 205. Let a = 259 + v. Calculate the greatest common factor of a and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.93 + -0.07. Let q = 0.256 - -0.144. Sort -3, q, 5, r.\nAnswer: -3, r, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 3*f + 2*f)*(3524*f**3 - 6749*f**3 + 4824*f**3 + (-f**3 + 0*f**3 + 0*f**3)*(2 + 1 - 2)) to d*f**3 + n*f**2 + j*f + h*f**4 + g and give h.\nAnswer: -4794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*h - 1. Suppose -3*t - h*v + 149 = -t, -3*v - 450 = -5*t. Suppose 4*a - 5 = t. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) -3 (d) -5\/3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 9. Let r(z) = 3*z - 36. Determine 15*j(q) + 4*r(q).\nAnswer: -3*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105537487*u - 231356383?\nAnswer: -105537487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/7 + 123*j**3\/7 + 1632*j**2\/7 + 6912*j\/7 = 0. Calculate j.\nAnswer: -16, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1.42.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7226 - -7578. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 u when three letters picked without replacement from {k: 3, o: 5, z: 1, u: 5, w: 5}.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/g)**(-18))**40 assuming g is positive.\nAnswer: g**1440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, 0.5, -6 in decreasing order.\nAnswer: 2.3, 0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1 + 2 - m - 14 + 3*m. Let n be s(7). Let a be n*((-15)\/(-9))\/5. Let f(p) = -6*p - 1. Determine f(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 1:54 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 6*v - 321. What is m(-20)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2416 and -65\/11595894.\nAnswer: 92767152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32201 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7226 divide 1779330240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (1 - (-3 + 2)). Suppose j = -c + 4, v - 2 = 3*c - 6. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/28 + 3*u**3\/7 - 19*u. Find g such that r(g) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 56*q - 294. Solve -60 = -q*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from habbp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 148*l. Let i(v) = 3*v**2 - 2*v. Let b(h) = 17*h**2 - 11*h. Let u(p) = 2*b(p) - 11*i(p). Give u(s(m)).\nAnswer: 21904*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5 - 72*h**4 - 736*h**3 - 2848*h**2 - 4704*h - 2816.\nAnswer: -2*(h + 2)**3*(h + 8)*(h + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 - 3*y - 72. What is the hundreds digit of h(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.14486 - 0.08\nAnswer: -4.22486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 304630154 + -12?\nAnswer: 304630142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0 - 2. Let h = -304 - -80. Let q be (h\/(-24) - 7)\/((-2)\/(-6)). Solve -q = a - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15911, -64565, -145659, -259193, -405167, -583581?\nAnswer: -794435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 252142362607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2908, 2897, 2882, 2863, 2840, 2813, 2782?\nAnswer: 2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.7 - 0.7. Let k = y - -19. Let t = -31.99999987 + k. Round t to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(816) - 3*sqrt(816)*-1)\/(-1*((sqrt(3) - sqrt(48) - sqrt(3)) + sqrt(3))*-2).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -3257\nAnswer: 1628.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q + 4*l - 9, 3*q - l - 58 = 0. What is the remainder when 67 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224582 - 217707.\nAnswer: -442289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0066690406 rounded to 6 dps?\nAnswer: -0.006669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 11.6. Let u = -124 - -119. Which is the second biggest value? (a) u (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (-2 - (-1 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0, 135, 5\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v + 329 = -4*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z + 28*z + 351 = 3*o, -4*z + 3*o + 270 = 0. What is the remainder when 139 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1189587*g**2 + 5654883 wrt g.\nAnswer: 2379174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2253372?\nAnswer: 2, 3, 11, 43, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/66 - 126\/(-693). Which is the closest to 0.1? (a) 0.5 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-2\/3)\/i)*i\/(i*i**18\/i) assuming i is positive.\nAnswer: i**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-18)*(-8)\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i - 20*i - 24*i - 26*i + 93*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*x**2\/3 + 323224*x\/3 + 107927432\/3.\nAnswer: 2*(11*x + 7346)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t\/(t**(2\/13)*t)))\/t*t)\/((t*t*((t\/t**(-3\/25))\/t*t)\/t)\/t))\/(t\/(t\/t**(-3)*t))**(16\/3) assuming t is positive.\nAnswer: t**(21808\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -264, -5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.89 < 8901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 + 182*p**4 - 394*p**2 wrt p.\nAnswer: -60*p**2 + 4368*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 9 + 0 + 11 + 29*q in the form s + i*q and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -1\/35 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 590, 1109, 1958, 3131, 4622, 6425, 8534?\n\"Answer: -r**3 + 171*r**2 + 13*r + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*10\/12*244\/305\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-4.4.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 3. Let y(b) = -5*b**2 - 4*b - 4. Let c(u) = u**2 + u. Let p(k) = -4*c(k) - y(k). Let o be -1*(-13 - -12) + (-6)\/(-2). Give o*p(n) + 5*t(n).\nAnswer: -n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25174 is divided by 265?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Suppose 0 = 2*a - a - m. Suppose -104 = -2*p + a*b, 4*b - 11 = 1. List the prime factors of p.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.24 - -0.2344. Round a to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 155*r - 5074. Let a be k(-50). Solve 0 = -178*m + a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 1121?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83146 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002630154352 rounded to seven decimal places?\nAnswer: 0.0000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 69\/18 + (-5)\/(-30). Sort d, 3, 6.\nAnswer: 3, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 3, 4 in decreasing order.\nAnswer: 4, 3, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*l + 4 + 2, 0 = l - 5*b - 22. Suppose l*a + 5*j + 16 = -1, -3*j - 3 = 3*a. Suppose -a*s + 6*s - 290 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 2}. What is prob of sequence aqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + 0 + (-5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 707\/2 - 328. Let -15\/2*z**5 + 0 - 63\/2*z**3 - 3*z + p*z**4 + 33\/2*z**2 = 0. What is z?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/46*(-4)\/23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -330330100 (base 4) in base 3?\nAnswer: -110200102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 49. Let i = 22 - 28. Let t be -6*1*1\/i*3. Is t smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**7\/840 + y**4\/24 + y**3\/6 + 2*y. Let a(c) be the second derivative of f(c). Differentiate a(l) with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 462203\/90 - 46160\/9. Let n = 5293223\/242 + -21873. Calculate the common denominator of n and h.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1841)\/(-789))\/((-154)\/36)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 8) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 - ((-43218)\/546 - -71).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -299455 or -299462?\nAnswer: -299462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20331233010 (base 4) to base 13\nAnswer: -64385a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, 87, 133, 217, 351, 547?\n\"Answer: 2*s**3 + s**2 + 3*s + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -945992\nAnswer: -3\/236498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1297991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52002 = -20*h - 12802. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 2\/3 (b) -0.04 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -893 divided by -27.\nAnswer: 893\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/63 + 35\/147?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 339800 and 217472.\nAnswer: 5436800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/23)\/(i*i*i**(-9)))\/(i**0)**(-1) assuming i is positive.\nAnswer: i**(159\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 111 - 119 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 m when three letters picked without replacement from pbbfpmmpf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -3\/8 (c) -0.1 (d) 2.33 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -1, 661, -5\/7, -0.5 in descending order.\nAnswer: 661, -0.4, -0.5, -5\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 733871 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + 0 + 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 235 and 29.78743.\nAnswer: 264.78743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*n + 11, -z = 3 + 1. Let u be (1 - 0)\/(n\/45). Suppose 4*x - 18 = 3*x. Calculate the highest common divisor of x and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*i + 113 = 0, 2*a - 369 = 5*a + 2*i. Let h = a - -208. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006048788 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 8}. What is prob of sequence eep?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -13) + (2 + 7 - (16 - (12 + -7)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2417660777 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.9999713 + -100. Round p to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41014.62 - 0.5763\nAnswer: 41014.0437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -31, 2, 11 in descending order.\nAnswer: 11, 2, 1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21190 > 63572\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h - 5*d + 25, 2*h + 5 = -5*d. Suppose 4*y = u + 273759, -h + 4 = 2*u. Suppose 10639 - y = 10*z. Round z to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1. Suppose 3*t + 28 - 3 = -5*p, -15 = 3*p - 2*t. Let o(c) = -c - 2. Calculate p*n(v) + o(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and -328?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.4 (b) -0.3 (c) 54 (d) 1\/11 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 6*c)*(c**2 + 2*c**2 + 13*c**2).\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4597992 divided by -27369.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -215 + 63?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 5928184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.78*-15.\nAnswer: 116.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*b + 1 + 15*b - 1 - 38*b + 13*b.\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 144 (b) 8042\/9 (c) 28 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -474, -525, -662, -927, -1362, -2009?\n\"Answer: -7*w**3 - w**2 + w - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11089 bigger than 11595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1609 - 1608.855. Which is bigger: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*h**3 - h**4 - 130*h**3 + 244*h**3 + 13 + 3*h**2 + h + 3 + 0*h**2 as o*h**2 + n*h**4 + x + j*h**3 + p*h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*z = 20, 0 = -o - 0*z - z + 4. Let g = 3 + o. Find the second derivative of 2*p + 32*p**3 - 32*p**g - p**4 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20001175867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 - d**4 - 2*d**5 + (-4 + 6 + 2)*(d**5 - 4*d**5 + 0*d**5))*(-12 - 18 - 24).\nAnswer: 756*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 12. Suppose 4*p = 4, p + 1127 + 2907 = 5*f. Suppose 0 = 817*s - f*s - 10. Which is the nearest to s? (a) 2 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - ((-52)\/182)\/(2\/32). What is the closest to -1\/2 in 3, -1\/7, 2\/11, u?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + 0 + (29 + -9 - -6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1404*n - 4*n**2 - 4240*n + 0*n**2 + 1435*n + 1401*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*f + 23 = 0, 9 = -3*s - 145167*f + 145170*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/43 + 61\/774. Let x(z) be the second derivative of 2*z + i*z**4 + 2\/3*z**2 + 0 - 1\/3*z**3. Determine y, given that x(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(162)*-2 + 1 + sqrt(162) - sqrt(162))**2 + (6*(sqrt(162) - (-2 + sqrt(162))))**2.\nAnswer: -36*sqrt(2) + 790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107 and 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = j, 7*j - 2*j = -x + 14. Suppose 0 = -2*f - j*s + s - 999992, 0 = 3*f - s + 1500004. What is f rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (-3 - (-16 - -23 - 26))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 4*q - 2*q)*(-655*q - 650*q + 1297*q + 32).\nAnswer: -16*q**2 + 64*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 2*a - 3*a. Let y(p) = -8*p + 3*p - 7*p - 5*p + 15*p. Calculate x(y(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2\/7, -17\/3, 41\/16, -0.15?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/18*12\/(-21).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42.5? (a) -3\/5 (b) -1 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 705.97*-53\nAnswer: -37416.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Solve s + b = 0, -q*s + 45 = 2*s - 5*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -627\/143851 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g. Let f(u) be the third derivative of -u**5\/5 + 2*u**2. Calculate c(f(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1133910)\/48 - 1\/(-8). Let z = 34560 + t. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1895822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 7*z**2 + 5*z - 6. Let h be n(-6). Suppose -13*t - 15 = -18*t. Suppose 4*c - 5*y = t, y = 3*c - h*y - 5. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878132784 a multiple of 6262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113968\/115 + -991. Which is greater: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/9 (b) 4 (c) -4 (d) 1\/62 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 2) + 16\/4. Suppose -j + 42 = j - 4*p, -3*j = y*p - 83. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 13) in base 12?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 24 = -8. Let z be (-14)\/j - (-1)\/4. Suppose 3*g + 4500 = -z*g. Round g to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let f be 21*(-1)\/6*-2. Let j be t(f). Calculate the highest common factor of 70 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-22))\/(-2)*(-2)\/(-3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 263. Let n be z(0). Let l = n + -38. Suppose -l = -6*c + 957. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 16*t**2 - 16*t + 3. What is g(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Suppose 4*q = -v*o + 4, q + o = -3*o + 15. Let c = 0.37 + 5.63. Is q smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -190, 1.9, -0.1, 12, -1?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53*z**4 - 2885*z**2 - 460206 wrt z?\nAnswer: -212*z**3 - 5770*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 10*a**2 - 42*a**2 + 53*a**2 - 114*a**3.\nAnswer: -114*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1 = -3. Let y(n) = 3 + n + c - 6. Let v(x) = -x + 8. Let r be v(6). Give y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**4\/12 - 10*q**3\/3 + 3*q**2\/2 - 10*q - 1. Let p be s(-20). Solve -3*w + 3 = 0, 4*t + 2*w = p*w - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 + 9368.9?\nAnswer: 9786.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1394*f + 132*f - 713*f + 81683 = -5217 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.4, -1.5, 1.\nAnswer: -1.5, -1\/4, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6051 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1820 and 1869560?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Let j(s) = 3 - 1 - 30*s + 29*s. Give j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 11951934 + 19488066. What is p rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 3*y + 3*y)*(-2771*y**3 + 2*y - 2*y + 2425*y**3).\nAnswer: 346*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1904, -2096, -2416, -2864, -3440, -4144, -4976?\n\"Answer: -64*g**2 - 1840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3\/2 - 245439*j**2\/2 + 5019902505*j\/2 + 5020147947\/2 = 0. Calculate j.\nAnswer: -1, 40907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2*2\/20). Suppose 6*x - 13 = 17. Suppose x*a - h = -0*h - 1, a + 2*h - 2 = 0. Solve 10 = f + m*z, -2 = 2*f - a*z - z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*h + 23*h - 2*h**4 + 31 + 22 - 20*h wrt h.\nAnswer: -8*h**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0 - 3 + 1 + r**2 - 3*r. Let n = -823 + 823. Suppose -4*d + n = i - 13, -12 = 4*d - 4*i. Calculate y(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252519634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 7*y - 3. Let b be l(6). Let h(q) = 4*q**b + q**2 - 3*q**3 + 2 + 3*q - 2*q. Calculate h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2717153 rounded to one dp?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 132*v + 37. Let u(r) = 18*r + 97. Let q be u(-5). Does 31 divide i(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 279039870, 558079739, 837119608, 1116159477, 1395199346, 1674239215?\n\"Answer: 279039869*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27000 and 44640.\nAnswer: 3348000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13297648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6460, -6032, -5324, -4336, -3068, -1520?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**3\/3 - i**2\/2 - i + 4459. Let x(q) = q**2 - q - 5. Determine 2*r(b) - x(b).\nAnswer: -3*b**2 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420302431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u*u**14)\/u)\/u)\/u**(-1\/7) assuming u is positive.\nAnswer: u**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 22 + 16 + 2 + 4 + y - 26. Determine u(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (90\/(-90))\/(1\/86*-2). Suppose 4*f - 12 = 20. Let k = q - f. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*4\/6. Let z = -0.509 + 1.509. Which is the nearest to 0.1? (a) 1\/2 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(360)*2 - sqrt(360)) + 0)**2 + 2.\nAnswer: 79\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -bdd56 (base 16) to base 9\nAnswer: -1414543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184485 * -1.\nAnswer: 184485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530486.7ml to litres.\nAnswer: 530.4867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 31. Suppose 5*y - 22 = -5*m - 7, -h*y - 3*m = -6. Let s(v) = 43*v - 9. Is s(y) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d = 81*d + 210 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*c + 5, 5*c - 5 = -5*t - 0*c. What is the nearest to t in -3, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 21. Suppose 36 = -j*l + 20*l. Suppose 2*g + 1 = 4*v - 25, -14 = -l*v - 2*g. Which is the smallest value? (a) -4 (b) 0.3 (c) 1\/15 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253535, 253356, 253059, 252644?\nAnswer: 252111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14703522 take away 4.67?\nAnswer: 14703517.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*((-2)\/6)\/(115\/15870).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 34, -89\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4352?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-57267)\/(-15) - (120\/(-25))\/(-6)?\nAnswer: 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**7\/840 + f**6\/120 - f**5\/40 - f**4\/24 + 5*f**3\/24 + 129*f**2. Find j such that b(j) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 3408 = 7*u. Suppose -2*s + 2*j + u = 0, -4 = 11*j - 7*j. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**2 - 10*r + 31. Let d(q) = -23*q**2 - 18*q + 60. Let z(s) = -6*d(s) + 11*v(s). Does 36 divide z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30757 or -29542?\nAnswer: -30757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101.5 - 8.5. Let i = 21.17 + 71.33. Let v = i - t. What is the third biggest value in 17, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35186, -35188, -35172, -35120, -35014?\nAnswer: -34836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/352 and -11\/6.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435183, -870228, -1305273, -1740318, -2175363?\nAnswer: -2610408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/5)\/(8\/20). Let p = 3 + f. Let g = -2.8 - 2.2. What is the nearest to p in 0.1, -0.5, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1109641 and 2947327.\nAnswer: 651359267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. What is the greatest common divisor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 2*a + 17*a**2 + 90 - 26\/3*a**3. Find the second derivative of o(z) wrt z.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100001000111 (base 2) to base 14\nAnswer: -239d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 2. Let q be r(3). Suppose -p + 5*v + 20 = -0*v, q*v + 20 = 3*p. Suppose 2*b - 6*b = 0. Is p at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, 1, 1039?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.472 + -30. Let x = m + 3.571. Let o = x - 0.043. Which is the third smallest value? (a) -0.02 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -38 in descending order.\nAnswer: 0.5, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and 24.4.\nAnswer: 33.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzfa when four letters picked without replacement from fthzffeazhh?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3\/3 + 124*p**2\/3 - 220*p\/3 - 116 = 0. Calculate p.\nAnswer: -1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 938 + -934. Solve x*k = -5*y + 45, 2*k + 7 - 17 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-4)\/(-96)*6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7765209 to the power of 1\/2, to the nearest integer?\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**5 + 1873*o**3 + 4*o**2 - 3*o + 3 wrt o?\nAnswer: -60*o**2 + 11238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-25)*70\/42.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*d**2 + 19*d**5 - 37*d**2 - 13*d**5 + 8*d**4 wrt d?\nAnswer: 360*d**2 + 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 3*o - 10, -630*z + 635*z + 7 = 4*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 910\/42*(-468)\/(-650)*-4*25\/(-40)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7014, -4\/15, -1\/615, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/3*d**2 + 2\/3*d**3 - 2\/3*d - 32\/3.\nAnswer: 2*(d - 1)*(d + 1)*(d + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1749 - 5*x + 1749 + (x + 2*x - x)*(3 + 0 - 1) - 1 + 1 - x - 4*x + 2*x + x + (0 - 1 + 0)*(x - 3*x + 0*x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 184, 181, 178, 175?\n\"Answer: -3*p + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/8 + 930\/(-4)*105\/700.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(605) + sqrt(605) + -4 - -2*sqrt(605)*3) + 3)**2*4.\nAnswer: 704*sqrt(5) + 154884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 0*m**2 - m**2 + 13 + 8 as q + j*m + o*m**2 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((69\/(-92))\/(3\/2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from zizzzzzizzzzzzi?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1853 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 26. Let c(k) = 5*k - 54. What is -3*c(l) + 5*i(l)?\nAnswer: -5*l + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3381.2, 43.3, 0.1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 0. Let q be ((-1)\/(-34))\/(y\/(-8)). Let n(d) = d**2 + 2*d - 2. Let v be n(-2). What is the second biggest value in v, q, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dssod. What is prob of picking 1 d and 1 s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m + 5 - 1 - 1 + 5*m**2 - 1. Let a be h(1). Solve u = -0 + a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**4\/2 - 5*w**3\/3 - 3*w**2\/2 + 2*w - 2416. Let k be 2*-1 + 1\/(-1). Let a be g(k). Solve 0 = -4*j - 8 + a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:31 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 9 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 40*t**2 + 2*t + 1. Let b be s(-1). Let j = 78 - b. Suppose 26 = 5*i - j. Calculate the highest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10086 divided by -3362?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 - 2067*o**2 - 4103*o + 13056. Calculate s(-687).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -3. Let l = g + -4. Let s = 6 - l. Solve 0 = s*n - 2*f - 8, 2*n + f = 4*f + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31860*s**3 + 31938*s**2 wrt s.\nAnswer: -191160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) - (-3*sqrt(220) + sqrt(220)) - sqrt(220)) + sqrt(55))\/(sqrt(605) - sqrt(605)*1 - sqrt(605)))**2.\nAnswer: 25\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 423*a**3 - 50*a**3 - 826*a**3 - 735*a**3 as o + g*a**3 + x*a + u*a**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-11 - 1)\/(-3). Let c = z - -4. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2528? (a) -3\/5 (b) 12 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 52.2. Let a = 0.2 + -2.2. Let j = a + 7. Put j, k, -5 in increasing order.\nAnswer: -5, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*0.07\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -76 (b) 7\/5 (c) -5396 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/8 + (-1)\/2. Let p be (-2 + 3 + -3)\/(-11). Let x = -15902 + 15902.2. Which is the fourth smallest value? (a) p (b) n (c) x (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 482 = 193. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-2)\/2)*(-3)\/2340*12.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 292, 492, -19 in decreasing order.\nAnswer: 492, 292, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-110)\/(-9) - 12\/54. Let x = 22 - o. Let w = 16 - x. Is 7 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (-42 - -45 - (1 + -1) - -5).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13256.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1, 20, 48\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 2. Let g(z) = z**3 + 7*z**2 + z + 2. Let k be g(-7). Let s(f) = -f - 6. Let v be s(k). Let i be -1 - v\/(-1 - 0). Determine o(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/3224 and -57\/2728.\nAnswer: 35464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssxfxxssfsssxs. Give prob of picking 1 s and 1 f.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (3 - (0 - -5))) + (7 - 41).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/858650 and -97\/17701400?\nAnswer: 230118200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 - 3*d**2 + 8*d - 35. What is p(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7464 and 274028320.\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -41, 3?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001111100010 + 10000001?\nAnswer: 100010001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-5 + (55\/10)\/1). Suppose k = -4*y + 156 + 244. Let m(g) = -g**3 + g**2 - g + 20. Let h be m(0). Calculate the highest common divisor of y and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 4*n**3 - 64*n**2 + 60*n + 126.\nAnswer: 2*(n - 3)**2*(n + 1)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 2:17 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from uuoxuoxbbubb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-21) - 1) + 1088\/(-448)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 598*a**2 - 15671*a + 324. Give b(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 5\/2, -12, 1\/3, -4\/19, -0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 33172880\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064751 * 0.1959.\nAnswer: -0.0126847209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*sqrt(153)*1 + sqrt(153) - (3*sqrt(153)*2 - sqrt(153)))\/((sqrt(576) - (sqrt(576) + sqrt(576)*-2 - sqrt(576)))*-6))**2 + 4.\nAnswer: -sqrt(17)\/6 + 46097\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458497004 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (136\/28)\/((-11)\/77)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353466 is divided by 412.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20127708 is divided by 6709234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 - 539\/(-44) - (-15)\/4. Suppose -4*c + 2*u = -2288, -2*u + 2280 = x*c - 0*u. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*l + 55, 17*x = 18*x - 5. Let q = 39 + -39. Solve 3*v - l + 4 = q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2 - 4)*(-3*h + 113 + h**3 - 113).\nAnswer: -10*h**3 + 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 798608.4ml?\nAnswer: 798.6084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 z when four letters picked without replacement from yyzzzyzzzz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(5*sqrt(119) + sqrt(119))\/sqrt(7).\nAnswer: 3 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x. Suppose s - 2 + 1 = 0. Let f(n) = n**2 + n - 11. Let h(z) = s*f(z) + 5*u(z). Is h(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 21. Suppose -10*w - 9 = -i*w. Solve 0*s - w*s - 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -95677, -94637, -93597, -92557?\n\"Answer: 1040*n - 96717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -43211\nAnswer: -15\/43211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8085 + -0.80864831. What is v rounded to six dps?\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-804)\/(-987) - 830\/(-19505)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110 - -445165?\nAnswer: 445305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5324 - -2?\nAnswer: -5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0.6. Let y(h) = 5*h + 12. Let k be y(-3). Let x be (3 - (-28)\/(-7)) + k\/(-1). Which is the biggest value? (a) x (b) 4\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - i**2 + 2*i**4 + (-14*i + 27*i - 14*i)*(-2*i - 2*i**3 + 2*i) - 2*i**4 + 7*i**4 + 6*i**4 in the form w*i**2 + b*i**4 + g*i**3 + f*i + t and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -238 (b) -5\/4 (c) -4 (d) -5 (e) 5\/7 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/1475 and -53\/575?\nAnswer: 33925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -145.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 11:50 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 45145, 2 in descending order.\nAnswer: 45145, 2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1961, 1883, 1803, 1721, 1637, 1551, 1463?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w - 9*w - 8*w + 15*w + 11*w - 38 to the form i + g*w and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 - 459877*l\/6.\nAnswer: l*(l - 459877)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1903.1 to the nearest ten.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1. Let a(i) be the second derivative of -i**3\/6 - i**2 + 6*i. Give a(l) + 2*h(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543960 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0356683nm in micrometers?\nAnswer: 0.0000356683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q - 5*u - 3102, -u - 2 = 0. Let i = q - -2907. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 3:58 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 21*y**2 + 7*y + 32. Let c be j(-5). Suppose 10*q = 8*q + c. Suppose q = z - 260. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*w + 75*w - 1 - 33*w)*(-3*w**2 + 2*w**2 + 2*w**2) in the form b*w**2 + g*w + y*w**3 + c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.222025*-3\nAnswer: -0.666075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*d + 13*d**3 + 3*d**3 + 8*d**3 wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 12*k + 8. Let v be k\/(-4) - (1 + 0). Do v and -1\/58 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 87*y - 13. Let a be g(10). Let p be 21\/14 - (-4)\/8. Differentiate -26 - 37*c**4 + 857*c**2 - a*c**p with respect to c.\nAnswer: -148*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**3 - 4 - 3*t**3 + 1 + (-2*t + t - 3 + 5)*(-2*t**2 + t**2 + 0*t**2) to f + l*t + a*t**3 + n*t**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1a7 (base 11) to base 9\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297, -285, -271, -255, -237, -217, -195?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33351810 divided by 1.\nAnswer: -33351810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3811*f**5 + 1849*f + 2 wrt f?\nAnswer: 76220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i = 79787 - 80690 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 54. Let p = d - -48. Suppose 3*z = 3*b + 156, 0 = -z - 2*b - b + p. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, 7, 30, 63?\n\"Answer: 5*o**2 - 2*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103881 + 104413. Suppose 2*c - 157 = 5*k, -2*k - 131 = -4*c + 175. What is the highest common divisor of n and c?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**6\/30 + 11*z**4\/12 + 8*z. Find the third derivative of t(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -933?\nAnswer: -2\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-9 - (-4 - 1)) - 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 32, 2, -54, 5 in descending order.\nAnswer: 32, 5, 2, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 7\/20*z**5 + 17\/12*z**4 + 0*z**3 + 0 + 0*z**2 + 21*z. Find the third derivative of q(m) wrt m.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 12, 60*s = 57*s - 2*o + 20. Solve 0 = s*a - 16 - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220410 by 5.\nAnswer: -44082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 12*j - 6. Let i be g(2). Suppose 2*p - i = -4*p. Suppose v = l - 109, -p*v + 434 = 4*l - 6*v. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-21))\/(((-336)\/189)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2270)\/420 - (-43)\/258 - (-26)\/(-70).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*m**6 - 275*m**4 - 4*m**3 + 58996*m**2 + 3.\nAnswer: 10200*m**3 - 6600*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -27607000 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -380\/7 smaller than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/2? (a) -4 (b) -2 (c) 2 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u - 4. Let y be o(3). Suppose -3*b = -y*b + 4. Let c be (-3)\/((b + 2)\/(-2)). Sort 1, 5, c in ascending order.\nAnswer: c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 5*j - 3. Suppose -10*h = -9*h - 5. Let o(d) = d**2 - 9*d - 5. What is h*v(u) - 3*o(u)?\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, r: 1, j: 5, x: 2, d: 1}. Give prob of sequence djw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-22))\/((-46125)\/40590).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 22 - 12 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*s - 4 = -2*s, 0 = -i + 4*s - 1. Let b be (-1)\/(i\/(-6)*1). Suppose b*t + 0*t = 4. Solve -2*m + 3*m - t*x + 12 = 0, -22 = m - 4*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 69\/2 (c) 0.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 3, -9, -2\/9 in descending order.\nAnswer: 3, -2\/9, -9, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1331)*3*-3 + -4)**2 + -3).\nAnswer: 3960*sqrt(11) + 539120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1183\/24098 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 840, 902, 964, 1026, 1088, 1150?\n\"Answer: 62*j + 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -372, -2591, -8596, -20271, -39500, -68167, -108156, -161351?\n\"Answer: -314*c**3 - 9*c**2 + 6*c - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3))**(22\/5)*(b**(-1)\/b)**(-3\/20) assuming b is positive.\nAnswer: b**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 500136726 a multiple of 5597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/21*(-24)\/15*5?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2636 (base 8) to base 11.\nAnswer: -1098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -1.2, -3\/7, 1.9, 12.2, -1?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.773383 grams in kilograms?\nAnswer: 0.003773383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 1517*v - 562666.\nAnswer: -(v + 646)*(v + 871)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 2*v + 1 + 2*v**2 + 0*v**3 + 4*v**3 + 2*v**4 to the form k*v + p + z*v**4 + s*v**2 + f*v**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -1)\/((-10)\/(-60)). What is the greatest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/73 - -141\/365. Find j, given that -2\/5*j**2 + 2\/5*j**4 - q*j**5 + 2\/5*j**3 + 0 + 0*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - 32*a**2 + 31*a - 31. Let z be m(-17). Suppose 0 = -2*k - 4, 0*k = 4*f - 2*k - z. Solve -3*h - 3*v = 12, -v - f*v = -2*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3 - 19 - 19*t + 10 + 4*t. Let m be s(16). Suppose 0 = k - 4*v + m, 2*v + 3 = 5*k - 67. What is the lowest common multiple of 12 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 708642432.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 112*u**3 - 39*u**2 + 21*u**2 - 39*u - 38*u**2 - 108*u**3 - 21*u = 0.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 - -0.55. Let f = t + -0.7. Let w = -0.5 + 1. Sort w, f, 3\/5 in decreasing order.\nAnswer: 3\/5, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2*o**5\/105 - 5*o**4\/42 + 2*o**3\/21 + 3*o**2\/7 - 114. Factor y(i).\nAnswer: 2*i*(i - 3)**2*(i + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13670 + 15174. What is the greatest common factor of 1081 and r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-4 + 8 + 0). Solve -2*v - 3*v + 5 = x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/2 + 68*m**4\/3 + 377*m**3\/6 - 17758*m**2\/3 - 25592*m - 23520 = 0. Calculate m.\nAnswer: -28, -3, -4\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-21)))\/m**(-29))\/(m**(-3\/7)*m*m)**(-3\/38) assuming m is positive.\nAnswer: m**(13333\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 226461.092 rounded to the nearest ten?\nAnswer: 226460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*w + 8 + 5 = 0, 1 = w. Solve -g + j*g = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -16*u - 110. Let l be x(-7). Let p(b) be the first derivative of b**3 + 0*b + 3\/2*b**4 + 5 + 0*b**l. What is the third derivative of p(j) wrt j?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14873525 and 562538.\nAnswer: 562538.14873525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 540.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k + 991. Let r(f) = 816*f + 2. What is r(d(p))?\nAnswer: 3264*p + 808658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -3*r - 7*k + 12*k, 5*r - k = 373. Determine s so that -2*s**2 + 149*s + 78 - 55*s - r*s = 0.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61112253 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u + 28. Give r(13).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Suppose -2*c - z*c - 24 = 0. Let a be 2*-8*(-7)\/(-28). Put -2, c, a in decreasing order.\nAnswer: -2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1520 and 57.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {z: 1, w: 3, q: 3, f: 8, b: 4}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387 and 1104.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = 2*s. Suppose 15 = 3*t + 2*t. Let x be t\/2*(-20 + 22). Put s, x, -2 in decreasing order.\nAnswer: x, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6899067 and 9688.\nAnswer: 55192536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 225949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 76 = 0. Let k = -18 + i. Let d be (6\/(-28))\/(6\/8). Is k at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 426*s**4 + 16461*s**3 - 62694*s**2 - 9998964*s - 9920232.\nAnswer: 3*(s - 21)*(s + 1)*(s + 54)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30219 is divided by 10064?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7334 - -1034. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j - 14. Give y(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 8*r**2 - 7*r + 7. Let v be l(7). Let p = v - -2. What is the remainder when 15 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 520.496 to the nearest integer.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*(-2 + sqrt(272) + -1 + sqrt(272) - ((sqrt(272) - 2*(sqrt(272) + 2 + sqrt(272))) + sqrt(272)))*5 + -3)*-2)**2.\nAnswer: -23508576 - 207360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 b, and 1 t when four letters picked without replacement from {b: 4, t: 6, v: 3}?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -528.4762 rounded to the nearest integer?\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -674 - -347. Let m = v + 332. Put 0.02, -0.4, m, 1 in descending order.\nAnswer: m, 1, 0.02, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 5*b**2 - 3*b - 5. Let o be h(5). Let p = o + 20. Suppose -9*y + p*y + 2655 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 13. Let b(v) = 3*v - 14. Calculate -3*b(n) - 4*h(n).\nAnswer: -n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -446 - -536. Suppose -30*u + i = -12*u. Solve u*h = 4*j - 1, -2*h - 8 = 5*j + h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74, 70, 64, 56?\n\"Answer: -f**2 - f + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3150187530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 3*h + 98 + 0*h - 3*h.\nAnswer: -h + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 11939401.\nAnswer: -12\/11939401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 + 53*x + 8. Determine g(-3).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107748*o**5 + 19*o**2 - 770*o + 1.\nAnswer: -6464880*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqtqqqq. Give prob of picking 3 q and 1 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50 - 38*k - 4*k**2 - 5 + 6*k**2 + 15.\nAnswer: 2*(k - 20)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1332*h**2 - 1850*h - 336*h**3 + 102*h**3 + 3*h**4 - 319*h + 748 + 980 - 447*h.\nAnswer: 3*(h - 72)*(h - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(468) - (sqrt(468) + sqrt(468) + (3 + sqrt(468))*2)) + (4 + (sqrt(13)*-3 - sqrt(13))**2)*-6.\nAnswer: -1276 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g - 96 = 0. Let k be g\/(-15) - (-8)\/20. Let u(f) = -7*f + 1. Determine u(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -31*b**4\/6 + 1959*b**2. Let a(x) = -2*x**2 + 6*x. Determine a(z(w)).\nAnswer: -30752*w**2 - 744*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21\/52 + -2\/13. What is the nearest to 0.2 in z, 0.3, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25995 and 60.\nAnswer: 103980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 4)*(1 - (-4)\/(-6)). Suppose r = -c*d - 3*r + 22, 0 = r - 3. Solve 5*h - 4*h - 4*n + d = 0, h - 11 = -4*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*h, 12*i + h = 9*i + 10477. Suppose 4*z - 2*y = 9796, -y - 2*y = 5*z - 12234. Let v = i - z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0\/h)\/h*(((h**21*h)\/h)\/h)\/h*(h*h**(-1\/2)*h)\/(h*h**11*h) assuming h is positive.\nAnswer: h**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412197 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 5. Let m be r(-4). Let t = m - 11. What is i in 4*i**5 - t*i**2 - 52*i + 2*i**4 + 2*i**5 + 56*i - 10*i**3 = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53792 is divided by 13442?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13598 is divided by 905.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -188*f**3 + 55*f**2 - 26*f - 6. What are the prime factors of m(-5)?\nAnswer: 3, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*h - 229*h - 5 = 0. Put -8, 2, h, 1 in decreasing order.\nAnswer: h, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -m + 62, -185*u - 48 = -m - 187*u + 9 - 7 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -4, 1, -1542, -2, 16 in ascending order.\nAnswer: -1542, -4, -2, 1, 16, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 62. Suppose 8*r - z*l = 4*r + 824, 3*l + 406 = 2*r. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 4. Let a be s(3). Let h = a + 8. Suppose 10 = 5*f - 5*g, -5*f = -4*g - 6 + 1. Put h, 3, f in decreasing order.\nAnswer: 3, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + -0.1. Suppose 3*f - 90 = -2*f. Let h = -21 + f. Sort r, h, 2.\nAnswer: h, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -3033?\nAnswer: -3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4\/9 (c) 83 (d) 0.1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-312 + 335 + 349)*(-26 + 26 - 3*h) as g + n*h and give n.\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13316104853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17\/3, 175961 in descending order.\nAnswer: 175961, 3, -17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/15*(-105)\/42.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 126 - 258 = 2*y, -3*l - 4*y = -366. What is the lowest common multiple of l and (-54)\/(-135)*135\/1?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26139*b + 16 = 26143*b. Let p(s) = 7*s - 16. What is the remainder when p(5) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683717453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 40. What is the third smallest value in -1, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(h + 3*h + 2*h) + 5*h - 5*h + 12*h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q = 39*q + 36 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -895 - -894.858. Let w = -0.7 + 3.7. Sort 4, f, w.\nAnswer: f, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 4) + (11 - (2 - (-7 + -5))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12288\/3456 - ((-44)\/36 + 1)?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 306, 301, 280, 237?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -125536, 1\/2, 3 in descending order.\nAnswer: 3, 1\/2, -125536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhqh when four letters picked without replacement from {h: 3, n: 6, s: 7, q: 3}.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**5\/60 - p**4\/8 + 7*p**3\/6 + 3*p**2\/2 - 1. Let y(j) be the second derivative of g(j). What is the tens digit of y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/(2 + 0). Suppose 2*n - 11 - 7 = a. Let u = 1 + n. Calculate the greatest common divisor of u and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v - 4*v + 5*v**2 - 3*v**2 to the form s + o*v**2 + c*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20175 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55\/714 + 1\/21. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*p**4 - 1464*p**3 - 6522.\nAnswer: -48*p**3 - 4392*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 6*r - 2. Calculate b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00089 to 5 decimal places.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43401253 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -177 + -2b6?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w - 11. Let p(c) = -16*c - 32. Determine -3*p(v) + 10*z(v).\nAnswer: -2*v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2242 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989.6966l to millilitres.\nAnswer: 989696.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d**4 - 22*d**4 + 29*d**4 - 2*d + 12*d**4 + (-5*d**4 + 3*d**4 + 0*d**4)*(1 - 2 + 4) to p + r*d + g*d**2 + h*d**4 + k*d**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/5 + 203*y**2\/5 - 38*y - 2424\/5 = 0.\nAnswer: -3, 4, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.36 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 43 + 34)*(-3*v**2 - 2*v + 2*v)*(11*v - 13*v - 43*v).\nAnswer: 7155*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25691483 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (49\/35 - 6\/15). Suppose 5*h - z - 1032 = 0, -h + 3*h = v*z + 416. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4 = -v, -5*v = -4*v + 2*o + 4. Let b be 4\/(-6) - (-154)\/33. Suppose 0 = -4*j + b. What is the nearest to j in -5, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.250807972 + -0.2508. Round u to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 7*w - 2. Let h be f(-2). Let s(p) = p**3 - 6*p**2 - 2*p + 19. Does 19 divide s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143546*c**4*t**2 - 4*c**3*t**3 - c*t**3 - 87*c*t - 2600*c wrt c.\nAnswer: -1722552*c**2*t**2 - 24*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 126379 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42054172?\nAnswer: 2, 43, 139, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**3 - 2*p**2 - 6*p - 5. Let g(f) = 9*f**2 + f + f**3 + 0*f**2 - 8*f**2 + 1 - f**2. Let x(d) = 5*g(d) + i(d). Determine x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 94, 97, 100, 103?\n\"Answer: 3*k + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-4 - -1) - -1 - 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 5*f**2 - 3. Let m be c(5). Let w = -929 + 921. Calculate the common denominator of ((51\/w)\/((-5)\/(-4)))\/m and 65\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -17*w + 2. Let q be d(4). Let l be 342\/q + 4\/22. Let j(k) = -k**3 - 6*k**2 - 6*k + 4. What is j(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-12))\/((-4)\/402). Let g = q + 75. What is the greatest common divisor of g and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*n + 4*n. Suppose 2*q = 4, 0 = i + 3*q - 37 - n. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyyyyfyyfyy?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**2)\/x*(x*x**1)\/x)**(-1\/12)\/((x**(-2\/5))**(-2\/23))**(-14) assuming x is positive.\nAnswer: x**(56\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 24 = 3*f, -4*f + 0*f - 2*w = -34. Let m(l) be the third derivative of l**6\/120 - 2*l**5\/15 + l**4\/4 - 5*l**3\/6 - 6*l**2 + l - 300. What is m(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64613625 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u - u + u**2 + 1 + u**3 + 6*u + 0*u. Let x be a(-3). Let p(v) = v + 11. Let w be p(x). Solve 9 = 3*d, -h - 2*h - w*d + 21 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2060*u**2 - 13*u + 12. Let r be k(4). What is r rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -164*y**2\/5 - 172*y\/5 - 8\/5 = 0.\nAnswer: -1, -2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -8*d + 7. What is the greatest common divisor of 207 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 5*v**3 + 11*v**3 + 3*v**3 + 13*v**3.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 964117 and 7448.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 10:10 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/38708615 and -13\/21113790.\nAnswer: 232251690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*a*g**3 - 5*a*g - a - 494*g**5 - 2*g - 197897 wrt g.\nAnswer: 378*a*g - 9880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1733, -6905, -15533, -27611, -43133, -62093, -84485?\n\"Answer: f**3 - 1734*f**2 + 23*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/(-10*(-6)\/120)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*b*l*m - 2003*b*l - b*m - 102*l*m + m wrt m.\nAnswer: 21*b*l - b - 102*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynmynnyyynlylpminyn. What is prob of picking 1 n, 1 y, and 1 l?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -445\/4 - -108. Let c = 77\/4 - l. Find the common denominator of c and (((-224)\/(-2))\/(-2))\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1164 (b) 1 (c) -221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 634*z - 6145. What is o(10)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*(-16 - -22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13434 + 114?\nAnswer: -13320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 57*b**2 + 2*b - 114. Let o be x(57). Solve -2*h - 3*c = 3*h - 4, o = -5*h - 4*c + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14173 - -170197\/12. Let l be 48*1*2\/(-4). Calculate the common denominator of v and (-313)\/20 + l\/40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674397.\nAnswer: 3, 74933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382173239?\nAnswer: 7, 19, 31, 92693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 118.84128 months?\nAnswer: 9.90344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, 18, 2 in decreasing order.\nAnswer: 18, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 0*z + 0*z)*(0*z - 2 + 11*z - 7*z).\nAnswer: -12*z**4 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x**2. Let o(a) = 9206*a. Determine o(n(i)).\nAnswer: -92060*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 4. Calculate the remainder when -4 - (-14 - -3) - 6\/2 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 92828*x**3 + 92829*x**3 - x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + g = 172, -4*a - 4*g = 320. Let t = 86 + a. What is the second derivative of 28*p**t + 4*p + p + 24*p + 2*p**2 wrt p?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(3\/11))*s**14)\/((s*s*s\/(s\/s**(5\/6))*s*s)\/s**13) assuming s is positive.\nAnswer: s**(1481\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 17 (c) 5\/4 (d) 5 (e) -3 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1893 (b) -0.1 (c) 0.4 (d) 0.2 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 6678?\nAnswer: 60102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/4 + 15*s\/4 - 9 = 0. What is s?\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 227437200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 722\/(-1064)*40?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and ((-2)\/5)\/(2\/(-50))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10*b**2 - 6*b**2 + 12*b + 11*b**2)*(3 - 2 + 1) - 4*b + 5*b**2 + 4*b.\nAnswer: -5*b**2 + 24*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -29*v - 109. Suppose -3*c + 0*p = -p + 119, 0 = 2*p + 8. List the prime factors of w(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1986 by 662.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3917 divided by 2.\nAnswer: -3917\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**2 + 15962488*s + 191550432 = 0.\nAnswer: -12, 3990634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (6\/10 + 0)*5. Is n < 2\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-2 - -11) + -7. Let k be 0\/((-4)\/(-2) - 3). Suppose k*u - 2*u = 0. Solve 3*l + 13 - g = u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-5)\/((-10)\/(-4)). Is 3 a factor of -1 + 0 + (f - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -30*s - 2. What is the units digit of n(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 17 + 1 = 0. Let u be x\/(-16) - 118\/(-8). What is the tens digit of 230\/u + 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**3 - i**2 + 1. Let o = -55 - -58. Suppose -12 = 3*j + o*v, 0*j - 3*v - 13 = 4*j. What is c(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*y - 7 = 0, 4*r + 5*y + 0 = 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-38) - (1\/(-2))\/((-475)\/(-185)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610258439 to the nearest integer?\nAnswer: 24703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/36 + 1\/(-6). Suppose c = -z - 4*z + 350. What is the greatest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 110.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**6\/90 - q**3\/6 - 2*q. Let j(o) be the second derivative of m(o). Determine j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4 (c) -65 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 131*u**2 + 0 + 263\/2*u - 1\/2*u**3.\nAnswer: -u*(u - 263)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -17, -30?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 + 187. Let i(x) = 3*x - x + u - 72. Let q(o) = -14*o. Give q(i(b)).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6. What is the units digit of (-7 - -7) + (o - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 0.1674?\nAnswer: 0.2326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664603841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (132\/(-1))\/((-28)\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, y: 10}. Give prob of picking 2 y.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11*z + 102. Let f be 124\/14 - (-44)\/308. Let d be y(f). Solve 2*n + 1 = d*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.4, 10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115? (a) 1 (b) 78 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3808322\/649 != -5868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*-3*sqrt(448) - ((4 + -3*sqrt(448))**2 - sqrt(448))).\nAnswer: -4046 + 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4 + 421 - 437 + 2*p + 0*p. What is the first derivative of r(w) wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m**2 - 1. Let y be h(-2). Let c = -135 - -90. Let d be (-215)\/c - (-2)\/9. What is the greatest common factor of y and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((3 - 8) + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78, -28, 22, 72, 122?\n\"Answer: 50*z - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 + -131?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130030 + 112020?\nAnswer: 1302110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70794 and 28566.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -0*r - r - 4*i, -3*i = r - 392. Suppose -142*h - r = -144*h. Calculate the remainder when h is divided by 60.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*(11\/(-3) + 1). Calculate the greatest common divisor of 36 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d8 - 5?\nAnswer: 3d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*y + 343*y + 49441 = -235*y for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1065*z + 1068*z - 3*a = 102045, -2*z + 68027 = -3*a. Round z to the nearest 100.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5021660 and 67\/130.\nAnswer: 65281580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/((v**(-2\/3)\/v)\/v)*v)\/v)\/v*v**(-2\/7))\/(v**(-1\/3))**(2\/29) assuming v is positive.\nAnswer: v**(894\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 276?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1012?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 64, -0.1, -3, -65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 518 = -1108 + 148 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(3)*-4)\/(-4*sqrt(21)\/sqrt(7)) + 2*sqrt(75) + ((2*sqrt(108))**2 - sqrt(3) - sqrt(3)) + 1.\nAnswer: 9*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.4 and 44462449.413.\nAnswer: 44462453.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8075 and 89471.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4060 and 1172325?\nAnswer: 4689300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, j: 2, z: 2, c: 5}. What is prob of picking 1 j, 1 q, and 2 c?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1961110 divided by -2\nAnswer: -980555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, w: 7, h: 3, d: 1, q: 7}. What is prob of sequence dz?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 - 140. Let x be 516\/(-5)*l\/(-18). What is the common denominator of 27\/8 and x\/32*1\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 173901 = 998*h + 46*h - 24661 for h.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 2, j: 4, l: 2}. Give prob of picking 1 d and 1 u.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -19a?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -11*v + 0 - 3*v**2 + 5\/12*v**4 + 0*v**3. What is the first derivative of b(d) wrt d?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:24 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32121445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f. Let o(b) be the third derivative of 0*b**4 + 2*b**2 + 0*b - 1\/20*b**5 + 0*b**3 + 0. What is m(o(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 437467 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*c + n, 0 = 3*n + 2*n - 10. Suppose c*z + 0*z - 106 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66 + 0?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.13007522 (b) 0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 10*o**2 + 17*o - 7. Let j be r(8). Suppose 0 = -10*i + 91 - j. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -430*y - 4. Let c(p) = -286*p - 3. Give -7*c(r) + 5*d(r).\nAnswer: -148*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 + 35 + 5*u**4 - 8*u**4 + (0*u**3 + 3*u**3 - u**3)*(4*u - 4*u + 2*u).\nAnswer: 6*u**4 + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -2046 = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7641 + 0.76417682. What is y rounded to six dps?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - h**2 + h + 2. Let a be b(0). Let s be 26\/22 - (-9 + (-303)\/(-33)). Let y be s + (-2 - a) - -6. Solve 2*g - 5 = y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 6. Let b be y(4). Let k = b - -6. Factor -1 - 15*v - v**k + 2*v**2 + 15*v.\nAnswer: -(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93971578 is divided by 6264771.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 1763 = 22*r + 1445, -3*r + l = -44 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - k - 575 = -443. Let r(t) be the first derivative of -k*t**2 + 0*t - 6 + 23\/3*t**3. Find the second derivative of r(f) wrt f.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 41 + 31. Suppose -4*d + 49 = 4*n + 189, -g*d - 80 = 2*n. Find the common denominator of n and 31\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, 3 in decreasing order.\nAnswer: 3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 9. Let u be l(5). Let m be 2\/(-5) - (-86)\/(-10). Let v be (0 - m)\/(12\/8). Solve -f + v*d - 3 = d, 0 = -u*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19695 is divided by 3144?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 - 288\/128\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w**4 - 2*w)*(-19*w + 15*w + 12*w)*(-6 - 16 - 12).\nAnswer: 272*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10868a (base 11) to base 4.\nAnswer: 222013223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143.5 - -143. Put g, -3\/2, 5 in increasing order.\nAnswer: -3\/2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 55, 60, 65, 70, 75?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from luuuluuuuuuuuluulll.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6971, 7156, 7343, 7532?\n\"Answer: n**2 + 182*n + 6788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t - 36. Is 2 a factor of d(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -610*m + 611*m - 4 + 15, 3*w = -5*m - 43 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 9*n + 7. Let v(g) = -g - 4. Let h be v(-6). Let r(s) = -2*s - s + 2*s**h + 8 - 7*s. Let z(t) = 6*o(t) - 5*r(t). Factor z(f).\nAnswer: 2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278637 is divided by 270.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982016 is divided by 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -10, 41407 in increasing order.\nAnswer: -10, 28, 41407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 21*m = -15488 + 13388 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 156*w**2 + 2894*w\/3 + 1120.\nAnswer: -2*(w - 7)*(w + 1)*(w + 240)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -21. Let p = -5 + l. Suppose 0*u + 12 = -2*u. What is the biggest value in u, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1316.5 and -0.29.\nAnswer: -381.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12 - -2) + (-2276)\/(-216) and -113\/1512?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 318148\nAnswer: 119\/318148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f\/(f**2*f))**(-3\/5) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16928 + 16927.99972766. Round r to six decimal places.\nAnswer: -0.000272","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2022*f - 132192 - 21480 = 0 for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1150)\/100 - ((-15)\/(-6) - 4 - -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 12503?\nAnswer: 1\/12503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38234.1 + 40086. Let j = -1779 + i. Let n = -72 + j. Sort -0.5, 3, n in increasing order.\nAnswer: -0.5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)*(g**(-8)*g)\/g*(g*g**(-9)\/g*g)\/g**(-10) assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -639.1 + 642. Put 2\/17, 5, a, -0.2 in ascending order.\nAnswer: -0.2, 2\/17, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 23 = m. Let b be (-25)\/m*-4*4. Suppose 0 = -b*t - 0*t + 110. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/19)*a**(4\/7)\/a)\/(a\/(a**(-2\/25)*a)*a*a**(-14)) assuming a is positive.\nAnswer: a**(41009\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26328730 to the nearest integer?\nAnswer: 5131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)\/d)**(-36)*(d**(-1\/3)\/d)**(-47)*(d\/d**(1\/6)*d*d**0*d)\/((d*d*d**(-3))\/d**0) assuming d is positive.\nAnswer: d**(157\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-32)\/12)*3. Suppose -3*y = -3*r - 36, s*y - 7*r = -2*r + 27. What is the least common multiple of 8 and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-63))\/2 + 2214\/2583.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2162792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140741?\nAnswer: 140741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -432307, -432309, -432321, -432349, -432399, -432477, -432589?\n\"Answer: -c**3 + c**2 + 2*c - 432309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*g**2 - 1)*(-g + g - g**2) - 3*g + 4*g + 0*g + 5*g**4.\nAnswer: 2*g**4 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*m - 521*m - 1564*m - 2543*m - 2263*m.\nAnswer: -7553*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -30*m**2 + 8288*m + 14447. Give n(278).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10778849155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 86286043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4456 + 4604. What is the remainder when 2809 is divided by j?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Suppose -145*b = -131*b. Suppose v = -b*l - l + 109. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x. Solve l - 6*l + 10 = x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5798 by 21.\nAnswer: -5798\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5870\/(-4696)*(48\/20)\/(-2)*(-10)\/(-36).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 807 - 808. Let v = -44 - -66. Which is the fourth biggest value? (a) u (b) 5 (c) v (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.09 * -401.\nAnswer: -3244.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 494630493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158590454.\nAnswer: 2, 11, 19, 461, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*k**2*v**3 - 56*k**2*v - 960*v**3 wrt k?\nAnswer: 16*k*v**3 - 112*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmxgmgmgqvmmqx. Give prob of picking 4 g.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17b (base 14) to base 4.\nAnswer: -10301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8090000 to the nearest one hundred thousand.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -83. Let o(h) = -h + 1. Let s be o(7). Which is the nearest to 0? (a) s (b) i (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.391549 centuries?\nAnswer: 0.5391549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20775 rounded to 3 dps?\nAnswer: 0.208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 15 = 4*b + b, 0 = 3*b - 3*t + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 33 + 61 = 808. Solve d = 357*y - 367*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 26. Let m = h - -19.09. Round m to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187466280 - 187464765.009968. Let x = z - 1515. Let m = 0.01 + x. Round m to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108 - -90. Suppose 4*p - 31 - 57 = 0. Let q = f + p. Solve 2*k - k = q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 8, v: 1, b: 1, s: 3, q: 1}. What is prob of picking 1 u and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -4, -1.8, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 69 = -5*h + 23, 4*h - 4*c = 64. Suppose 7*z - 24 = -4*o + 11*z, -5*z - h = -3*o. What is the greatest common factor of o and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -9. Let y = 4 - h. Solve -y*b - 7 = -v + 13, 0 = 2*b - v + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -800.93 - 5764.146\nAnswer: -6565.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9195 = -741*s + 4143 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5033 + 5049. Solve -5*l - m + 1 = 3*k, 2*k + l = -10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 30500 + 3588*n + 2911*n + 405*n**2 - 890*n**3 + 101*n + 445*n**3 + 450*n**3 = 0.\nAnswer: -61, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbfb when four letters picked without replacement from fbbqqyl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -46602510 to the nearest one million.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22750245.\nAnswer: 3, 5, 7, 72223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5947163 micrometers to kilometers.\nAnswer: 0.0000000005947163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12433*b**2 - 37308*b + 1. Give q(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0 + (-10 - -120). What is the greatest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, -5, 362, -57, -1, 5 in decreasing order.\nAnswer: 362, 20, 5, -1, -3, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 11:04 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 - 58 - 15*h**2 + 12*h**2 + 24*h**2 + 60.\nAnswer: 28*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = w - 759, 5*w - 4*m - 2174 = 1663. Let s be 2\/(-15) + 4692\/w. Let p(h) = -5*h + 29. Determine p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -847?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 309 and 26.\nAnswer: 8034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 38*p**2 - 3*p + 2. Let s = 75 + -74. Let k be y(s). Let n be 3\/k*(-1 - 0). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7765, -10913, -9421, -3283, 7507?\nAnswer: 22955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p**2 + 26*p**2 - p - p + 3133.\nAnswer: -3*p**2 - 2*p + 3133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 192, 198, 208, 222?\n\"Answer: 2*h**2 + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 - -4?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**6\/6 + d**5\/20 - 7*d**4\/4 - 31*d**3\/12 - 3*d**2\/4 - 130. Determine v so that y(v) = 0.\nAnswer: -2, -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 514774943 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 30. Let c = 2 - -2. Let t(s) = -s**2 + 5*s + 6*s**2 - c*s**3 + 3*s**3 - 6 + 0*s**3. Calculate t(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6333 - 250 + 2292 - 7132 - 1107)*(-4*i**4 + i**4 + i**4).\nAnswer: 25060*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -57. Suppose 4*t - j - 897 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -10. Let a be -1 + 2 - 3 - h. Let o be (a + 1)*(-4)\/(-2). Solve 0 + o = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 40*s**3\/3 - 7*s**2\/2 + 37*s. Suppose 3*n + 4*c - 21 = 0, 5*c = -2*n + n + 18. Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51722441, 51722439, 51722437?\nAnswer: 51722435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*d + 0)*(d**3 - 307 - 21*d**2 + 21*d**2).\nAnswer: -2*d**4 + 614*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3 + 232*a**2\/3 - 190*a + 164\/3 = 0.\nAnswer: -41, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1650, -6583, -14806, -26319, -41122?\nAnswer: -59215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -0.2, -0.5, 31\/8, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-82)\/82)\/(-13)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u**(-9)\/u*u)\/u)\/u*u))**(30\/13) assuming u is positive.\nAnswer: u**(330\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45138 is divided by 45057?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17820453.\nAnswer: 3, 7, 848593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f. Let w(g) = 28*g. Let s be (-15)\/5 + -20 + 3. Calculate s*r(c) - 3*w(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2, 0.147 in decreasing order.\nAnswer: 2, 0.147, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*j - 80 + 106 = 0, -j + 8 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 1\/15 (b) -3\/4 (c) 54 (d) -2\/3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9 - 2) + 5359\/495 and -94\/105?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 168 = 3*p + 1309, 0 = 5*p - 4*v + 1906. Let l = -87 - p. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 805 divide 259210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4258, 4259, 4264, 4273, 4286, 4303, 4324?\n\"Answer: 2*j**2 - 5*j + 4261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*h + 57 = -114*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1671)\/(-45) + 6\/(-45). Does 8 divide (6 - 4)*d*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 154, 310, 466, 622?\n\"Answer: 156*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 29. Let l be j(-13). Let c(n) = -n**3 + 15*n**2 + 12*n + 59. Let i be c(l). Let r be 1*4 + (1 - 1). Sort 3, r, i in decreasing order.\nAnswer: r, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-5\/3)*o\/(o*o\/(o**0*o)))**15*(o*o**(-1\/3))**(-16\/3)*(o\/((o\/(o*o**(-3)))\/o))\/o*o**(-1\/4) assuming o is positive.\nAnswer: o**(-569\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 357831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 10*w + 11. Let u be r(-2). Let n = -2 + -1. Which is the second smallest value? (a) u (b) -6\/11 (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y + 12. Let z be q(2). Suppose z = 5*r - 4*r + 37. Are r and -35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14\/9, -7, 17\/3 in ascending order.\nAnswer: -7, -3, 14\/9, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3283 - -5203. What is f rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12012.613179 to the nearest ten.\nAnswer: -12010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.66 >= -3911672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -98 * -0.19701\nAnswer: 19.30698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -4)*(1 + -2). Let w(h) = -2*h**2 + 8*h**2 + u*h**2 + h + 5*h**2. Calculate w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 1. Suppose -319 = -4*l - 15. Let k = 73 - l. Let b(h) = -h**2 + h + 1. Let v(d) = k*n(d) + 3*b(d). Let p(m) = -14*m. Calculate p(v(t)).\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b9 (base 13) to base 16.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1333 - -2200222223?\nAnswer: 2200230222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1416627 and 765.\nAnswer: 7083135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 580676.859 minutes in weeks?\nAnswer: 57.60683125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 - 3\/4*o - 3*o**2 - 7\/4*o**3.\nAnswer: -(o + 1)**2*(7*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -53*n + 77*n - 4 - 33*n. Let o(b) = -1. Determine -c(r) + 4*o(r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(6*q - 3*q - q) + 12*q - 32*q - 84*q)*(-2*q**3 + 7*q**2 - 5*q + 5*q).\nAnswer: 204*q**4 - 714*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 - 96. Let f be 57\/c - 15\/10. What is the common denominator of -34\/35 and (42\/(-45))\/((-5)\/(f\/9))?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.4999931 - 13.5. What is k rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85\/7 + -12. Which is the nearest to 0.1? (a) 1\/2 (b) 1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-3) - (37 - (-468)\/(-9))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-377)\/(-520) + (-3)\/5. What is the biggest value in 0.4, c, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -9*u + 15. What is the remainder when 53 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365824 is divided by 5353.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 880 and 880.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*t + 24*t - 24*t + (0*t + 3*t - t)*(2 - 2 + 1).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5565)\/(-2226))\/((-5)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-8)*(-24)\/90.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-30))\/((260\/72)\/(-13))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 5*x + 3. Let m be z(3). Let p(u) be the first derivative of u**3\/3 + 3*u**2\/2 + 1. Calculate p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*r + 1254 + 5209 - 248 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 - r - 2. Let o(g) = -g**2 - 2*g - 12 - 4*g + 1 - 20*g**3 + 46*g**3. Give 11*d(l) - 2*o(l).\nAnswer: 3*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 27, -4, -2.7, -2\/11?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose 0 = -3*d + x + 7, 3*d - l*x + 6 = 3. Let t be d\/(-14) + 570\/(-14). Round t to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*k + 0 + 2\/7*k**3 + 6\/7*k**2.\nAnswer: 2*k*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -477054 * -16.\nAnswer: 7632864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1102451 divided by 3\nAnswer: -1102451\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -29. Solve 0 = -f - u + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -310037 or -309988?\nAnswer: -310037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*m - 5*m. Let j be (m\/(-15))\/((-3)\/(-90)). Suppose j*z - 1503 = z. List the prime factors of z.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/7 - 7686876\/3363290. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 312 = 4*n, 4*o = 5*n - 253 - 116. Suppose 0 = -5*t + 3*c - 2*c + 99, 0 = 5*t - 4*c - 96. What is the remainder when n is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1242342*j**2*x**2 - 2*j*x**2 + 4*j*x - 26*x**2 - 29*x + 2 wrt j?\nAnswer: -2484684*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3902? (a) -2 (b) 15 (c) 0 (d) 2\/11 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 - -1 - (8 - (-34 - -58 - (11 + -1))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 295937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37583 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -17. Let h(q) be the third derivative of q**6\/120 - 2*q**5\/15 + 7*q**4\/24 + 2*q**3\/3 + 2262*q**2. Determine h(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 12. Give j(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 79*h + 3. Let f be v(0). Factor -4\/11*i + 0*i**2 + 4\/11*i**f + 2\/11*i**4 - 2\/11.\nAnswer: 2*(i - 1)*(i + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 220 (b) -8105 (c) -3 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-48))\/((3760\/15)\/(-8)))\/((-15)\/(-90))?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660085255?\nAnswer: 5, 132017051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:34 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, 1252, 5.\nAnswer: -5, 5, 11, 1252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -779982640 by -437210.\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v + 192. Determine r(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3\/9 - 3092*z**2\/9 + 1213664*z\/3 = 0.\nAnswer: -2328, 0, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-7) - (-10)\/14) + 5. Suppose -14\/3*i + 4\/3 + j*i**2 - 10\/3*i**3 + 2\/3*i**4 = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y = -5*y + 75. What is the nearest to -1.02 in y, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26975 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4338 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3958 - 4.191377\nAnswer: -3962.191377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/14028 and 43\/136.\nAnswer: 476952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*x + 2, -2*i - 5*x = 6 - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 314*z - 6. Let g(h) = -105*h + 3. Give 11*g(i) + 4*w(i).\nAnswer: 101*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322275 and 1998105.\nAnswer: 9990525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3619 and 26005100?\nAnswer: 182035700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50925532*l**3 - 14*l**2 + l - 5666 wrt l?\nAnswer: -305553192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490*72.86.\nAnswer: 35701.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 2*u**2 + 2*u + 2. Let z be s(2). Suppose 0 = -4*n + z*n. Suppose n = 3*q - 26 + 8. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1561332*b*x**5 - b*x**2 - 20*b*x + 3*b - x**6 - 379*x wrt x?\nAnswer: -93679920*b*x**2 - 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1732 + -2a2?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/(47138\/(-5439))*(-13)\/(-92)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1994*b + 2377*b - 18384 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4059242 to the nearest integer?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 9*v + 100 = 0, -9*k = -8*k + 2*v - 23. Let t = -0.4 - -0.7. Which is the nearest to t? (a) 1\/6 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 591 + -561. Are a and 30 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1305684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4 + l**2 + 4*l**2 - l - 1 - 3*l**2. Let c be d(5). Let y = c + -45. Solve -2*q - y = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.13 (b) 4.4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 99*k + 160. Is 25 a factor of u(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -421*z**3 - 11*z**2 - 11*z - 12. Let m be d(9). Let v = 181911 + m. What is v rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 4)*(-4*u + 6*u - 5*u - 2 + 2*u + 2 + (5*u - u - 2*u)*(1 - 3 + 1) + 0*u + u - 2*u)*(9*u - 11 + 11)*(3 - 1 - 7).\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-749)\/(-126) - 3\/(27\/(-2)). Which is greater: g or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.3318 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -139099.\nAnswer: -32\/139099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9266\/27, -37, 0 in descending order.\nAnswer: 0, -37, -9266\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.033 or -27?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021973 plus 1055.30072?\nAnswer: 1055.278747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or -409?\nAnswer: -409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3018222*y**4 + 7073560*y wrt y?\nAnswer: 36218664*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 428200 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, w: 14}. Give prob of sequence ooww.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*z**5 - 1611154*z**4 + 931896*z**2.\nAnswer: 360*z**2 - 38667696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2184 is divided by 71?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3175 + 717*a**3 - 3286 + 346*a**3 - 194*a**3 with respect to a.\nAnswer: 2607*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52249 divided by -1?\nAnswer: -52249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.69387 take away -0.1?\nAnswer: -6.59387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -391.135 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**2 + 0 + 0*i + 0*i**5 + 0*i**3 + 1\/60*i**6 + 1\/6*i**4. Find the second derivative of z(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l**2\/2 - 6*l + 5. Let d be k(5). Let n = 25 - d. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 292, 5 in descending order.\nAnswer: 292, 5, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4439 - 18993.\nAnswer: -23432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 518297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -486*t**2. Let v(o) = 2*o**2. Determine q(v(l)).\nAnswer: -1944*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 4*m**2 + 4*m + 3. Suppose 0*q + 20 = q - 4*c, 5*q - 5*c = 160. What is the remainder when q is divided by d(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -202?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2525.20629 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13923 = 3*t, -12*s + 7*s + 13915 = 5*t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310241 (base 5) to base 2.\nAnswer: 10011101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 3. Let i(q) be the third derivative of q**4\/6 - q**3\/2 + q**2 - 140. Give 6*i(v) + 7*p(v).\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 19*x + 30. Let c be f(6). Let b = -8\/101 + 3320\/1111. Calculate the common denominator of (-32)\/c + 1527\/189 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837365987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33474 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-11 + (5 - -4)). Solve 5*k + 12 = v*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-4)*(1 + 20\/(-12)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1265 and 935.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294282 is divided by 147128?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(57)\/(-1*sqrt(3)*3) + 2*(sqrt(19)*1)**2*2)*-4.\nAnswer: -309 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*c + 3*c + 179, -g + 819 = 5*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -237 - (1 - 0). Suppose -g = 32 - 37. Suppose 0*j + 108 = 2*i - 2*j, -c = -4*i - g*j. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148*v**2 + 183*v wrt v?\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/1819 (b) -2\/9 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**3 - 1756 + 79*h**2 + 1756.\nAnswer: -13*h**3 + 79*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:44 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -549, -4449, -15057, -35727, -69813, -120669?\n\"Answer: -559*d**3 + 13*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + 2 + (((sqrt(176) - 3*(0 + sqrt(176))) + 0 + 2*sqrt(176) + sqrt(176) + sqrt(176))*5)**2*1).\nAnswer: -105630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30652.251 rounded to the nearest one hundred?\nAnswer: -30700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 - -14) + 68\/2 - -2. Suppose -248*h = -249*h + i. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 - -173. Calculate the least common multiple of b and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -338461\/7 + 48259. Which is smaller: -92 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let x = 13.5 - 1.5. What is the nearest to x in r, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244902*f + 61225*f + 61230*f + 61223*f + 61225*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from uelpep.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91200793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 367 (base 9) to base 5\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 7, 1083, 0.1?\nAnswer: 1083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 23. Let b = -0.136 + -85.864. Is y smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r**3 + 0*r + 22*r**2 - 82 + 0*r.\nAnswer: -49*r**3 + 22*r**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -295\/3 - -99. Let s(y) be the first derivative of 0*y**5 + 0*y**4 + 5 - h*y**6 + 0*y**3 + 0*y - 3*y**2. Find the second derivative of s(q) wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 21. Let u = h - 69. Calculate the common denominator of (12\/10)\/((-12)\/u) and 2\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212112111 - -2112101?\nAnswer: -210000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -181 + 12?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19073 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10498*r**2 - 2*r + 16760 wrt r.\nAnswer: 20996*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 598 - 263. Let n = i + -310. Calculate the remainder when 81 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(7 - 200\/16). Solve -4*c = 2*a + 5 + u, 2*a = 4*c + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*g - 7*g. Suppose -3*s - s = -4, -22 = -4*p + g*s. Calculate the remainder when 10 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Let m = h + -6. Let l = -77 - -75. Do m and l have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5979 - -5977. Which is the closest to -10.1? (a) 3 (b) w (c) -0.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-18 - -22 - (10 - (-1 - -3)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 1241?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -7*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-2) + (14\/6 - (-4)\/(-3)). Let p(h) = 12*h + 12. Give p(v).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 174 = -2*p, 3*p - 289 = 2*k - 30. List the prime factors of p.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.26 + -0.06. Let t = o - 0.4. Is t greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*g. Let s(o) = -o**3 + o**2 - 2*o + 2. Let w be s(g). Solve -5*t - 2*z + 7 = -17, 0 = -w*z + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*21*32\/(-96)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h = -34*h - 41 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmaukkfv. Give prob of sequence vu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 + 9.29. Let a = -518.52 - -509. Let k = p + a. What is the nearest to 0 in 5, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 3, 2, -15, 77 in increasing order.\nAnswer: -104, -15, 2, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*b + 76 = b, 2*b - 66 = -5*p. Suppose 3*h - z = 4*h + 2, -3*h = -2*z - p. Factor f**2 + h*f**2 + f**4 + 0*f**4 - 4*f**2.\nAnswer: f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = -13*p + 63 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 3 (c) -1\/3 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.5, -0.4, 225, -2\/7, 2\/43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 54 - 93 + 49 - 2*p to the form x*p**2 + i + w*p**3 + c*p**4 + y*p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -128. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*i + 2*h + 2, i = -3*h + 17. Suppose -i*z - 3334 = 4466. What is z rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 17. Let f = l - -2. Suppose m - 4*r = 2*m + f, 0 = -5*m - 4*r + 13. Solve -4*a = 2*p + 2, m*p - 2*a + 5 = -12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-225))\/(4*(-5)\/30)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 11*k**2 - 12*k + 14. Give c(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 5. Let p be a(9). Let j(c) = 5*c - 4*c**2 + c**2 + 6 + p*c**2. List the prime factors of j(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 38*x**2 - x + 33. Let d be k(38). Sort d, -18, 3, -1.\nAnswer: -18, d, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*c + 339, 0*n + 193 = 3*n + 4*c. Let g = -71 + 24. Let p = g + n. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (45 - -7) - 58.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:40 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518 and 3584.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*w + 630 - 661 = 0, 4*n - 5*w - 47 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 10) in base 11?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.865 + -0.135. Let i = 26 - 25. What is the nearest to i in x, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 19. Let s be n(-21). Suppose -v = -5*w + 5, v + 22 = -v - s*w. Find the common denominator of 31\/22 and v\/(-6) - 404\/(-72).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -695*s**2. Let x(n) = -19338*n**2. Calculate d(x(o)).\nAnswer: -259900979580*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/7069384 and -117\/2296.\nAnswer: 7069384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -7\/91034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*r = -0*r + 18, 2*a + 11 = 3*r. Suppose 0 = -a*m - 2*m + 20. Put -5, 24, m, -3 in increasing order.\nAnswer: -5, -3, m, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1641.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450.15641 rounded to the nearest 10?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101111110?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2\/5 + 36*c\/5 + 39\/5 = 0. What is c?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*c = -0*c - 42, -5*c + 15 = 0. Suppose -2*l - 18 = -m*l - 5*s, 5*l - 41 = 3*s. Solve -3*z + 4*z = 4*d + l, -4*d - 6 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 - 3*p**2 - p**2)*(6*p**2 - 3*p**2 - p**2).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (167 + 179 - 71)*(-45*f**2 + 45*f**2 + 37*f**5).\nAnswer: 10175*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26440, 26377, 26336, 26323, 26344, 26405?\nAnswer: 26512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 3, y: 3, c: 2, n: 3}. What is prob of sequence hnc?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2 - 76876*j + 1539120 = 0 for j.\nAnswer: -19239, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -1441\/4.\nAnswer: -1441\/4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 6*a + 8*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1. Let u be 2 - (4 - (-12)\/(-3)). Let q(o) = -o + 4. Let r(p) = u*b(p) - q(p). Determine r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*k**2 - 113*k\/2 - 3\/2.\nAnswer: -(k + 1)*(110*k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 436897.2 and -0.07.\nAnswer: 436897.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103513394 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73033125?\nAnswer: 3, 5, 11, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 303 - 2117\/7. Let c be (-1)\/(3\/18*-2). Suppose -4*s - c = -7. Is s greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 4*s, 7 = 3*s + 3*v + 1. Solve s = r + 3*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5192868 by -6.\nAnswer: 865478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53353, 53267, 53181?\nAnswer: 53095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 374.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 - 994. Let s = 1627 + i. Calculate the highest common divisor of 30 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(288) - (sqrt(288) + 6*sqrt(288)) - sqrt(288))*-4.\nAnswer: 2*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 90?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + 6*a. Let c be d(5). Let s = 53 + c. Solve 3*k = 7*k + s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 4891177120529.\nAnswer: -4891177120532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 64*t - 11 + 11 - 1. Let u(d) = -3*d**2. Determine u(j(z)).\nAnswer: -11532*z**2 - 372*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0*j**4 + 1\/14*j**7 + 0 + 0*j**5 + 17\/2*j**3 + 39*j**2 + 1\/60*j**6 + 0*j. Differentiate c(d) with respect to d.\nAnswer: 60*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -74*h. Let d(u) = 3794*u - 11. Give r(d(b)).\nAnswer: -280756*b + 814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 11479275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l - 176 + 71 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(275) - sqrt(55)\/sqrt(5)*1).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/7 + 18*m**2\/7 + 30*m\/7 - 50\/7 = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 5*n + 31*n + 83.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/7 - 99*h**2\/7 - 4035*h\/7 - 3933\/7.\nAnswer: 3*(h - 57)*(h + 1)*(h + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 5 (b) 10\/7 (c) -1\/6 (d) -45427 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -618.99 to the nearest ten.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 5*v**4\/12 + v**2\/2 - 5800*v - 1. Determine r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92*i**3*q - 5*i*q**2 + 394*q**2 wrt i?\nAnswer: -276*i**2*q - 5*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*c + 2*q - 16, -c - 5*q - 17 = 0. Suppose 4*i + 20 = 4*f, 5*f = 4*i - c*i + 13. Solve -2*t = 4*g + 16, -f*t + 0*g = -4*g - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2 - 2)*(-4*t + 3*t - 2*t)*(3*t**2 - 3*t**2 + 3*t**2)*(-t + 2*t + 0*t).\nAnswer: 18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324505745043 - 0.3.\nAnswer: 324505745042.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 5*h**2 + 4*h - 6. Let o be f(4). Let m be -3 - (o\/3 + 1). What is the units digit of (8\/(-12))\/(m\/51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 - (-318567)\/120. Let a = 2642 - d. Let l = 101\/24 - a. What is the common denominator of l and 17\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 3*b)*(0*b - 5*b + 4*b + (3 + 2 - 3)*(0 + 0 - b))*(-2 - 2*b + 2).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*h - 8 - 6, -16 = 4*u. Let v be (-955)\/(-25) + h\/(-10). Suppose 3*t = 4*n - 25 + 81, v = 3*t + 5*n. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-1 + 1 - 2*g) - 2 + 2 - 2*g + 3*g - 6*g + g + 4 + g - 4 + (75 - 74 - 46)*(2*g + 0 + 0) + 2*g + 0*g + 0*g.\nAnswer: -95*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20 times -157\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-2) - (-20 - -9). Suppose -2*r + 0*r = 0. Suppose c + c - k = r. Solve 0*l + u + 19 = -c*l, 2*u + 26 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:57 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 9*y - 14. Suppose 5*i + 20 = -5*f, -2*i + 5*f = 60 - 3. Determine a(i).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3055.73 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 9 + 8*j**4 + 3*j**4 + j**4 - 2*j**4 + 2 - 2*j**4 - 2 + (j + 3*j - 2*j)*(-2*j**3 - j**3 + j**3) + 0*j**4 + j**4 + j**4.\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*h - 10*h - 154*h + 3*h + h + 2*h + 0*h + h - 3*h + (3*h + 0*h - h)*(2 - 1 + 1) + h + 0*h - 3*h.\nAnswer: -221*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 188327*r - 24858075\/4.\nAnswer: -(r - 753275)*(r - 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z - 5*z = 171936. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*y**4 + 2*y**3 - 25922*y**2 + 3*y - 35281 wrt y?\nAnswer: -108*y**2 + 12*y - 51844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119.33 - 108.952. Round g to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = l + 4, -d + 2*l - 14 = -4*d. Suppose f + d*f = 9. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 0*k + 4*k)*(-3 + 3 + 2) + k - 2 + 2 - 3*k - k + 2*k + (1 - 5 + 3)*(4*k - 30 + 30) as g*k + u and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -12*f**3 + 2*f**2 - 3*f + 2. Suppose 6 - 18 = -24*j + 36. Let y(q) = 13*q**3 - 3*q**2 + 4*q - 3. Determine j*y(p) + 3*l(p).\nAnswer: -10*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 315 + 1386 = 4*i, 3*j = -3*i + 777. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3900 and 3900?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 5 (c) -0.65 (d) 0.3 (e) 4 (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d43 (base 14) to base 2.\nAnswer: 1010011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 24923323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50\/700*(-2660)\/(-60)\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h + 1. Let n(l) = -15*l + 2. Let u(f) = 13*k(f) - 6*n(f). Let b = 58 - 98. Let g = b + 41. Calculate u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 47, 66, 83, 98?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5 + 1. Suppose w*r = -3*r + 5*o + 5, -4*o - 8 = -5*r. Let q be (9 - 7) + (-1 - -2). Solve q*z = r*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4 - 1) + 6)*(-1 - -13). Calculate the greatest common factor of a and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226232, 453178, 680136, 907112, 1134112, 1361142, 1588208, 1815316?\nAnswer: 2042472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m*w**2 - 1212*m*w - m - 20*w**2 + 14361*w wrt m?\nAnswer: 4*w**2 - 1212*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1567 - 1070. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -2 - (0 - -6). Let d = u + 11. Suppose -b - 3*a + 19 = -10, 5*b - 50 = d*a. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.7 and 0.00111543?\nAnswer: 3.69888457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 52435?\nAnswer: -52443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43164661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 2*r**3 - r**3)*(-219*r - 228*r - r**2 + 417*r).\nAnswer: -r**5 - 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 29. Let g = h + 22. What is the biggest value in 5, -2, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -7, -16?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**45*(((u\/(u\/((((u**(-2\/7)*u)\/u)\/u)\/u)))\/u)\/u)**(2\/67))**(1\/19) assuming u is positive.\nAnswer: u**(21045\/8911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b. Let i(g) be the second derivative of -5*g**4\/12 + 6*g. What is i(z(k))?\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w = 0. Solve w = -2*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-862)\/14 - 64276\/(-112483).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 - i**4 - 6 + 4)*(i + 2*i - 2*i) + (-5*i**2 + 2*i**2 - 9*i**2)*(-5*i**3 - 2*i**3 + 2*i**3).\nAnswer: 59*i**5 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-128)\/224)\/((-78)\/21). Factor 0*z + 2\/13*z**4 + 0 - i*z**2 + 0*z**3.\nAnswer: 2*z**2*(z - 1)*(z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 372 and 6248.2?\nAnswer: 2324330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - (-48 - -16 - -35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -2)\/((-1 - 1)\/(-88)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - c. Determine l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h**2 + 3*h. Let c(v) = 8*v**2 - 2*v. Calculate 3*c(y) + 2*t(y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - 3 + 3 - 2*m**4 + m**4 + 3*m**4 + (2*m - m**2 - 2*m)*(-2 + 2 - 2*m**2).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 492.04 - 493. What is the third smallest value in -2\/19, 3, -3\/2, a?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = -32*a + 52*a. Suppose 18*i - a = 16*i + 2*y, 0 = 5*y + 10. Suppose r + 3*z = 5*r - 24, 4*z = 0. What is the remainder when i is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14*u - u + 1 to r*u + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.4. Let g be -28 + -16*(-3492)\/2016. Sort g, v, -1, -0.5.\nAnswer: -1, -0.5, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.726563 rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 512441432?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2842.49469 * -0.1\nAnswer: -284.249469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 784177773 to the power of 1\/2, to the nearest integer?\nAnswer: 28003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639 = -2*q + 5*q. Suppose -2*n = -5*n + q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - (-16 - -10))*-5. Solve 0 = -25*n + 23*n + t*a + 3, -4*n + 3*a - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 495090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 339*o - 336*o - 8, 4 = -p + 5*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1603*z + 36 = 3*n + 1600*z, 13*n - 48 = 4*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4013 = -v - 3959, 0 = 3*x - 9*v + 606 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 48 = -13*l. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -316*f + 208*f + 521*f + (-1 + 3 - 3)*(-3*f - 4 + 4).\nAnswer: 416*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*1*sqrt(432)*1)\/((1*sqrt(18)*3)\/(-2*sqrt(3)*2)).\nAnswer: -2 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -3.9. Let o = g - -4.4. Let z = o - 0.6. Which is the nearest to -1\/4? (a) -4 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 1. Let k(l) = 2*l**3 + 74*l**2 + 1. Determine k(z) + r(z).\nAnswer: 2*z**3 + 75*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 0.4, -4.34, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4232, -8364, -12384, -16292, -20088, -23772?\n\"Answer: 56*x**2 - 4300*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*o - 3*x + 16, 6*o + 114*x = 116*x - 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 342*m**2 - 1 - 175*m**2 + 13*m - 163*m**2 to the form k*m**2 + h*m + d and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/18 and 91\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - i + 20 = 3*f, f = 4*i + 2 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 3*n - 4*n)*(-2 + 5 + 1 - 1 + 1 - 2 + 1 + 0 - 2 - 2 + 3 - 2 + (1 + 3 - 3)*(-1 - 1 + 3) + 0 - 2 + 4 - 2 + 6 - 2).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*q - 5*q**3 + 15*q**3 - 22*q wrt q?\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)*-1)\/(sqrt(384)*1).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*(-4 + sqrt(425)*1 + 5 + -2))**2.\nAnswer: -250*sqrt(17) + 10650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*y + 55, -y = 5*c - 0*y - 67. What is the third derivative of 8*d**2 + 0*d + d**2 - c*d**4 + 0*d wrt d?\nAnswer: -336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4530 times 2?\nAnswer: 9060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33\/1600 or -1?\nAnswer: -33\/1600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434.1498 litres to millilitres.\nAnswer: 434149.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:56 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14884512 * 15\nAnswer: 223267680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*n + 3*a - 8*a, 10 = n - 2*a. Suppose 3*q - n*q = -30. List the prime factors of q - (-16)\/((-4)\/1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 148.5 (c) 0.5 (d) -3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + i + i + 4)*(-2*i + 0*i + 0*i)*(-285 - 50*i + 285)*(2 - 3 + 0) as z*i**3 + d*i**2 + j + c*i and give d.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-11 - (-1 + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2 + 20*y + 7*y + 2*y**2 - 29*y. Let h(q) = -q**2 - 4*q - 5. Let c be h(-4). Is z(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1550 (base 12) to base 7.\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -100*w + w**2 + 183 + 164\/3*w**3. Find the second derivative of l(m) wrt m.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498 and 121719251.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:23 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -17 (c) 0.4 (d) -1\/13 (e) 3 (f) 83\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*u = 171*u + 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/138016 and -107\/176?\nAnswer: 1518176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - v = 3*v - 16, -2*v = 4*y - 26. Suppose 0 = -0*h - 2*h + 82. Suppose 31 + h = y*j. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 8 - 2*z + 0*z)*(0 + 3 - 2).\nAnswer: -2*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -416665\/4 smaller than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624 = -6*v - 0*v. Suppose 0 = -33*f + 37*f - v. What is the highest common divisor of 14 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(77)*-5*6)\/(-3*-1*sqrt(275)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5698361.2 days?\nAnswer: 814051.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3580 and 6.\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*q + 501, -4*v = -5*q - 674 - 1285. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 4*f**2 - 4*f - 6. Let q be x(5). Let d = -1.645 + 0.045. Let r = d + -1.4. Which is the closest to q? (a) r (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17823 + -17899.585. Let v = -77 - w. Let u = v - -0.66. What is u rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 - (-2 - (-1 - 4)). Solve 5 = -5*t - i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2068.083718 + 52.825182. Let y = c - 2121. What is y rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 15*f. Let p(l) = 362*l**2. Give n(p(c)).\nAnswer: 262088*c**4 - 5430*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47\/725 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2731?\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -126b06 - -3?\nAnswer: -126b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -3\/4, -1291, 1 in increasing order.\nAnswer: -1291, -1, -3\/4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2597 is divided by 535?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9528656 - 347*y - 9528656 + 524*y**2 wrt y.\nAnswer: 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 16, 0.2, -0.02, 489?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 1. Let s be p(3). Let q = s - 2. Let v(k) = k**2 - 8*k + 6. Let g be v(7). Which is greater: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-7)\/(-14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6180)\/(-6))\/((-720)\/2952*-41).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -12. Let o = -6 - -10. Suppose f - 2*f + o = 0. Solve 4*y = -0*y + f*z - 20, d = -5*y + 4*z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.50219 rounded to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/443*(-2 - -4). Let q be -2 + 2 - 40708\/(-10632). Let k = q + s. Calculate the common denominator of k and 4\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a**3 - 2483 + 2483 + 3*a**2 + 4*a**4)*(2 - 2 + 2).\nAnswer: 8*a**4 - 20*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 + 3*w**2 + 5*w + 4. Let u be k(-5). Suppose -3*s - 9 = -2*r - 35, u = 4*s + 2*r - 30. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 375 by 1.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31196 is divided by 260.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -186, -295, -460, -699, -1030, -1471?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55096 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 17 - (1 + (0 - -3)) - 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*j = -4085 + 235 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 109*t**2 - 288*t - 171.\nAnswer: (t - 3)*(t + 57)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Let l = 47.2 - 47. What is the second biggest value in 0.1, -0.4, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35 - 8 + 10 + 7 - 120*o wrt o?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1162 and 4767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13524 - -13528. Suppose -8\/3*z**2 - 2\/3*z**3 + 0 + 8\/3*z + 2\/3*z**g = 0. Calculate z.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + m = -17, 0*m = -2*m - 2. Let w = 5 - -25. Suppose 6*g + 18 = -w. Is f < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05985 times 0.4?\nAnswer: 0.02394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -250, -371, -492, -613?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(616\/6) + (-1)\/(-7). Let m = -132\/413 - -2\/59. Which is the nearest to w? (a) -5 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 5) in base 6?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0 - 2 + 9)*(4*f + 4*f - 10*f)*(6*f**3 - 5*f**3 - 3*f**3).\nAnswer: -56*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 2*t**2 - 41*t - 77. Determine i(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttttstttst?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - -2) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 59*u**2 - 788*u + 195. Determine s(-39).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 s when three letters picked without replacement from {s: 1, b: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17492480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47514, 47384, 47170, 46872, 46490, 46024, 45474?\n\"Answer: -42*z**2 - 4*z + 47560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -3*x - 15, 4*x = 4*y - 36. Suppose -5*b = -k - 2 + 21, -3*k + 37 = -5*b. Let g = k + x. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**5\/10 - 5*p**4\/24 - 3*p**2\/2 + 6. Let y(c) be the second derivative of g(c). What is the second derivative of y(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (308\/(-231))\/(8\/(-6) + 1). Let u = -5 - -5. Suppose -2*h - v*l + 10 = u, -5*h - 4*l + 15 + 4 = 0. Solve 5*y - h*o = -7, 0 = -2*y - 0*y + o - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2951870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10561957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1540 + -1277. Solve g = 4*h + 279 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 616*y**3 - 20*y + 182 - 366.\nAnswer: -616*y**3 - 20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 259*w**4 - 1248*w**3 - 1239*w**3 + 2487*w**3 + (3*w + 0*w + 0*w)*(-2*w**3 - w**3 + 4*w**3).\nAnswer: 262*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 4*c**2 + 2. Suppose -48*k + 60 = -68*k. What is w(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11309*r - 11298*r = -66 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 - (-106)\/10. Suppose -2*i - r + t = 0, -5*i = -2*i - 3*r + 6. Solve -6*v = -i*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 337, 928, 1913, 3292, 5065, 7232, 9793?\n\"Answer: 197*x**2 + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/10)\/(1\/(-42)). What is the units digit of 762*(-7)\/v + -3 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**4))**(-16\/5)*(q**5\/q)**13 assuming q is positive.\nAnswer: q**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 1360, 2038, 2714, 3388, 4060, 4730?\nAnswer: 5398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 43*m**3 + 23*m**3 - 7 - 2*m**2 + 0*m**2 - 63*m**3. Let c(q) = -8*q**3 + 5*q**2 + 11*q + 20. What is 4*c(f) + 11*p(f)?\nAnswer: f**3 - 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 + -137. Suppose 0 = 4*j - z*h - 60, 2*h + 0*h + 58 = 5*j. Solve 11*v = 6*v + j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giniuftgfnuinu. What is prob of picking 3 u and 1 f?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -14*c - 99. Calculate the remainder when v(-26) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63832288 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - -184. Let q = -47 + j. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1296, -1321, -1348, -1377, -1408, -1441, -1476?\n\"Answer: -l**2 - 22*l - 1273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125795775 rounded to three dps?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*v = -5, -4*v + 5*v = -4*b + 1. What is the nearest to -10 in -0.3, b, 0.05, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Let g be (-5 + 7)*q*2. Let k(b) = -4*b + 28. Let r be k(-8). Calculate the greatest common factor of r and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 18 = -3*h, 53*u - 60*u - 4*h + 3*h - 4*h = -6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/90 - a**5\/60 + 2*a**3\/3 - a**2. Let r(u) be the first derivative of s(u). What is the second derivative of r(i) wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4\/9 (c) -0.2 (d) 0.05 (e) -2 (f) -81\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 - 82*w\/11 - 460\/11.\nAnswer: 2*(w - 46)*(w + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 112408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41\/105 + -2\/35. Let l = -8 - -9. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 39*n**2 + 1. Suppose -5*m = 4*m + m - 70. Calculate the remainder when j(-1) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yygax. Give prob of sequence ga.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d55 + c0a?\nAnswer: 4b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272001, 543673, 814673, 1084665, 1353313?\nAnswer: 1620281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9682340.\nAnswer: 2, 5, 484117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -147. Let o = v + 63.99999942. What is o rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.419 - 1.671. Let v = y - -2.2. Let i = v - 5.11. Which is the second biggest value? (a) 2\/7 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 3*p + 35. Suppose 3*h - p*h = -6. Let d(i) = 2*i - 3. Let t be d(10). Solve -h = 5*w + t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -239*t**7\/42 + t**6\/30 - 263*t**4\/4 - t**2\/2 - 53*t. What is the third derivative of p(z) wrt z?\nAnswer: -14340*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1905829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/7, 62610, 43, 4 in decreasing order.\nAnswer: 62610, 43, 4, 2\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**7\/30 + 23*n**5\/60 + 15*n**2. Find the third derivative of z(g) wrt g.\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + m**2 + 2*m**2)*(0*m + 2*m - m) - 2*m**3 + 1 - 1 + (m**2 + 5*m - 5*m)*(-m + m + m) + m**3 - 5*m**2 + 5*m**2 - 6*m**3 + 4*m**3 + 4*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2908*y**2 + 4500*y**2 + 3828*y**2.\nAnswer: 11236*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, 0, -2 in increasing order.\nAnswer: -3, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -85116, -680657, -2297124, -5444979, -10634684, -18376701, -29181492, -43559519?\n\"Answer: -85077*r**3 - r**2 + r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*i + i - 8 = 0, 4*s + 5*i - 21 = 0. Let v be ((-6)\/s)\/(-1*6\/72). Suppose 0 = -v*h + 19*h + 19. Are h and -19 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7214?\nAnswer: 2, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkkkmzxxkmkozkkokok. Give prob of sequence mox.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 2*a - 8, -4*d - d - 2 = -4*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 362003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 959, 2531, 4955, 8369?\nAnswer: 12911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - n**2 + 4312*n + 21498. Calculate a(-5).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**3 + 7*d**2 + 7*d + 3. Let u(w) = 5*w**3 - 6*w**2 - 6*w - 3. Give -6*s(r) - 7*u(r).\nAnswer: r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-7)*28\/6. Suppose -4*f + 5*y = -0*y - 128, 0 = -4*f + r*y + 132. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 6934, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*h = 139*h - 7774 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5*z = 14, 2*v - 1 = -v + 2*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*sqrt(2)*3.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/88?\nAnswer: 7\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7645 (b) -1 (c) -0.195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/26 - (-13 - (-513)\/39).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8208 and 76?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219 + 218.99. What is the closest to -1 in 2\/23, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -44. Let g be 0 - -5*(-2 + 3). Calculate the highest common divisor of g and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11686, -23371, -35056, -46741?\n\"Answer: -11685*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 62 - (0 + 1 - -33)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 84 and 972.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:05 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 6*i + 297. What is the remainder when 2836 is divided by l(20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (454\/84 - (-58)\/609)*(0 + 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - y + 3 = -o, -5*o + 4*y = -24. Calculate the remainder when 73 is divided by (-2)\/(6\/(-111)) - o\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 535\/(-12)*(-2 + (-2430)\/(-21)). Let g = c + 5072. Find the common denominator of g and 41\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664391 is divided by 829.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**4*y - 37747*c**4 - c**3 - c**2 - 2921*y + 3 wrt c.\nAnswer: -96*c*y - 905928*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.01? (a) 3\/2 (b) -7 (c) -3\/2 (d) -1504\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 6*x + 4 - 2\/3*x**3 - 1\/3*x**6 - 7\/6*x**4 - 1\/21*x**7 + 0*x**2 - 9\/10*x**5. Suppose c(f) = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwzxzsmwx. What is prob of picking 1 z and 1 s?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + 0*k)*(-129*k**2 - 155*k**2 - 594*k**2).\nAnswer: 3512*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1597*f - 12 = -1599*f + 6*v, 0 = -4*f + v - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*q - 3*l, q - 3*l = -4*q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:00 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/7 + 10*r**3\/7 - 51*r**2\/7 + 68*r\/7 - 4 = 0. Calculate r.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/169 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 118056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -221.\nAnswer: -5\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 367875, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from uuuuuuuuuuukkuuk?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 392434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/34*-28*5\/90?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -193*b**2 - 11*b - 139. Let v(x) = -69*x**2 - 4*x - 46. Give 4*a(l) - 11*v(l).\nAnswer: -13*l**2 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -294, -2592, -8854, -21060, -41190?\n\"Answer: -330*c**3 - 2*c**2 + 18*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 80*j + 2. Let f(n) = -45*n - 1. Let k(w) = 7*f(w) + 4*t(w). Let g(c) = 11*c + 3. Determine -2*g(h) + 5*k(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-6)*(-4)\/10. Let j(y) = 8*y**2 - y. Give j(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = -5, 2*r + 20 = c. Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1408)*1*4)\/((sqrt(18) - (sqrt(18) + sqrt(18)*-2*-4))\/(sqrt(9) - (sqrt(9) - (sqrt(9) - (sqrt(81) + 1*sqrt(81)))))).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2763 times 0.58\nAnswer: -1602.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 22 = -3*c + 2*t, -c + 3*t = -17. Suppose 108 = c*x + x. Solve -2*p = -0*p + 5*y + x, y = 4*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**5\/60 + 7*r**4\/8 + 8*r**3\/3 - 3. Let s(v) be the third derivative of z(v). Let d be s(10). Which is smaller: d or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0446 in -5350, -0.2, -10, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1349.\nAnswer: 269.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -508, -707, -868, -979, -1028, -1003, -892?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*i + 3*c, -i + 4*c = -0*c + 13. Let m be 15 + 0\/i - -1. Suppose -3*h - h = -m. Solve h*u - u = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.78*-0.1.\nAnswer: -0.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3*m*r - 2*l**3 + 16*l*r + 8*m*r + 14*m with respect to r.\nAnswer: 2*l**3*m + 16*l + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-756)\/135*5\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 176884 * 1.13\nAnswer: 199878.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103870142 is divided by 2558.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 41 + 1. Let r = -13 - 13. Let x be b\/(-15) + r\/(-6). Solve 2*o - x*a - 1 = 0, 4*o = -o + 3*a - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/121 and 163\/5610.\nAnswer: 61710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:50 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161495817?\nAnswer: 3, 7, 109, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50692 and 194764.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*b**2 + 30*b**2 - 15*b**2 + (3*b - 3*b - 2*b**2)*(2 + 3 - 4))*(b**3 + 0*b**3 - 4*b**3).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1784 = -36*d - 196. Which is the third biggest value? (a) -3 (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-8))\/(3\/(-33)). Suppose u*h - 1069 = 647. What is the highest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -12 + (7 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4989 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*m**2 + 6 - 3*m**3 + 69*m**2 + 4*m**3 + 65*m**2 - 2*m**3 to g*m**2 + x*m**3 + r*m + z and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:20 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - j. Suppose -z - j = -35. Suppose f - 20 = -2*g - 4*f, 4*f - z = -5*g. Solve -3*t - t - g*w = 15, 0 = -2*w - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 4:34 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttft when four letters picked without replacement from tttttftf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -501 - 1?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 84\/(-9)*240\/(-28)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278327752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 17360?\nAnswer: -17363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 12*l = j - 12, 4*j + 8 = -3*l. Let y(u) = u + 10. What is y(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -953, 3.\nAnswer: -953, -120, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbgbbgqgbgg. What is prob of sequence bbbb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.14487 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6510 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 39. Suppose 3*w - 117 = h, -20 - 29 = -w - 3*h. Suppose 3*p - u = w. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 949*m**3 + m**2 - m - 10. Let u be w(6). Suppose -a - 17342 = -q + 23662, -a = -5*q + u. What is q rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q - 14. Let r(b) be the second derivative of -b**3\/6 - b**2\/2 - 48*b + 63. Determine -10*r(s) - t(s).\nAnswer: 2*s + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115.7 - -116. Suppose -5*b = -0*b. Let x be b + (1 - (-16)\/(-10)). Sort z, x, -1 in ascending order.\nAnswer: -1, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = f - 6*f - g, -3*f - 2*g + 9 = 0. What is the second biggest value in -0.5, 4, -3\/4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 89, 131?\n\"Answer: 42*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 205 = 75. Let o(w) = -w**2 - 12*w + 6. Suppose -5*i = 21 + 29. Let t be o(i). Calculate the highest common factor of y and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 34. Let w be 18 + (-5)\/(20\/(-8)). Suppose w = 4*r + 8. Solve r*d + 3*a = 3, -2*d + 3*a = -a + i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -3\/2 (c) 647 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 38*v**2 - 154*v - 2065. Calculate s(-20).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = -0. Let c(n) = n**3 + n**2 - n - 2. Let h be c(a). Let g = 8 + h. Solve 2*j - g*j = -10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)*(30 - 28). Suppose -a*b + 1080 = 1072. Suppose 5*y + 1 = 3*z - 10, -5*z - 2*y = -8. Solve 1 = b*d - z*l + 23, -5*d = 3*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*n + 6*n + 959 - 31*n to d + z*n and give d.\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 25 + (3 - 2) - (-98 - -103)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 174 * -5\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 11. Let x be (3 - 3)\/(r\/2). Suppose -4*v - 2*h + 27 - 5 = x, -39 = -3*v + 3*h. Calculate the remainder when 15 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 793.422ml to litres.\nAnswer: 0.793422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 9. Let m(h) = h**2 + 5*h - 2. Let a be m(-7). Solve -t*g + 6 = -u - u, 0 = 4*u - 2*g + a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**3 - 49*l**2 - 115*l + 1526. Determine a(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 1475\/(-720)) + -1 and -1\/3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 776?\nAnswer: 7760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 364257943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73791*w - 24 + 93 - 73744*w.\nAnswer: 47*w + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601844.\nAnswer: 2, 19, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-8))\/(5\/4). Suppose 2*x = -n*x + 8. What is the tens digit of (-1)\/2*x + 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-24) + (3 + 24 - 167346\/1944 - -25)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22020?\nAnswer: 2, 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i - 1. Let r(v) be the second derivative of 17*v**3\/6 - v**2 + 2*v. Let u(g) = -148*g + 2973. Let w be u(20). Give w*a(t) - 6*r(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20255?\nAnswer: 5, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 1462?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/((-11)\/72)*-86. Calculate the common denominator of (((-549)\/20)\/(-3))\/(s\/(-860)) and -95\/26.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -572739.0299309 + 572739. Let o = -0.0299 - c. Round o to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 8, 75, 214, 449, 804, 1303?\nAnswer: 1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:56 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - n = 34*s - 35*s, 4*s - 24 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hffhffhtffkfm. What is prob of sequence kmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3590 - -3594. Sort 1, 19, h, 2 in descending order.\nAnswer: 19, h, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -216*d**2. Let p(c) = -27*c + 7. Determine p(r(f)).\nAnswer: 5832*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -19 (b) 13.9 (c) -335 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5750 - -12292. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297969210 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzjj when four letters picked without replacement from {z: 8, j: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/6*12\/(-10). Suppose -r*b = -11*b - 48. Let l be b\/10 + 18\/30. Which is smaller: l or 1\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d**(-2\/27)\/d)*d)\/d)\/d**(21\/2))\/(d*d**(-7\/8)*d*d**(-1\/27)))**(3\/8) assuming d is positive.\nAnswer: d**(-685\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 3\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/8 of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*l**3*q - 250*l**3*z + 54*l**3 + l**2*q - 2*l**2*z + 5*l**2 + 1017*l*z + 2*q wrt l.\nAnswer: 72*q - 1500*z + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 4*h - 1 - h + 3*h to the form g*h + o + r*h**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-4))\/(2\/8). Suppose 4*v - p - 11 = 0, -v + t*p - 27 = -4*v. Suppose -j - k + 24 = 4*j, 16 = v*j + 4*k. Put j, 0, 0.1 in descending order.\nAnswer: j, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11*1\/(-2))\/(1\/14). Suppose -79*b + 176 = -d*b. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 + 3 = 0. Let n = z + 7. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0602 + -0.5192. Let u = 0.159 + h. Is -9 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o + 1. Let m(n) = -n**3 - 5*n**2 + 5*n - 4. Let p be m(-6). Let x be s(p). Solve 0 = -r - x*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-8)*(-4)\/(-2) - 0. What is the biggest value in -5.4, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/23)\/((-37760)\/(-217120))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 65 = -s + 67, 5*s - 21*h - 11 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:29 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 28 = -r. Suppose 4*b + r*s - 964 = 0, 2*b - s - 488 = -6*s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**2 - 37*z - 36. Calculate o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7460*r - 15211 = -156318 - 60313 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4263 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -184130 + 6855?\nAnswer: -176164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**4 - f**3 + f**2 + f. Let i(o) = -18*o**4 - 72*o**3 - 138*o**2 - 108*o - 30. Let d(n) = -i(n) + 3*v(n). Factor d(x).\nAnswer: 3*(x + 1)**2*(x + 5)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11578\/153 + 1294\/17. Sort 31.1, 1, y.\nAnswer: y, 1, 31.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*a - 9 = 2*h, 0 = -3*h - 4*a + 21. Let i = 42 + -42.007. Let j = 0.993 - i. What is the fourth smallest value in j, h, 2, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b - 41666 = -43207 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2312.9 in 3\/5, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 7. Let d(s) = 22*s + 635. Calculate d(y) + 6*q(y).\nAnswer: 4*y + 677","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96.65915 + -0.07085. Let l = -2.27 + a. Is 0.1 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10)*(10\/8 + 0). Let s = 12 + -12.2. What is the closest to v in s, -0.1, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 10*t + 7. Suppose 0 = 4*i + 14*i + 2340. Let u = -128 - i. Let o(q) = 2*q**2 + 3*q + 2. Determine u*s(b) - 7*o(b).\nAnswer: -4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 1 (c) 16 (d) 0.5 (e) -0.1819\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 k when three letters picked without replacement from {k: 1, o: 4, r: 6, x: 1, e: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:51 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122)\/488 + (-31)\/16 + 2.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/42)\/(105*(-73)\/(-35770))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 3a0dad?\nAnswer: -3a0da8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*w - 42, w - 27 = 23*q - 25*q. What is the smallest common multiple of 526 and q?\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - u. Let c(d) = 6*d**2 - 18*d. Let p(b) = c(b) - 18*v(b). Let g(f) be the third derivative of f**4\/8 - 3*f**2. Calculate g(p(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 - 68. Is (-1 - (-189)\/15)*r - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**3\/6 + s**2\/2 + 4*s. Let q be w(-1). Suppose q*j + 20 = 5*r, -2*r - 3*r + 20 = 3*j. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*j - 0*l - l, 0 = 2*j - l - 37. Suppose j*b + 1146 = 27*b. Let h = -133 + b. Are h and 58 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**5 + n**4 - n**3 + n + 1. Let m(c) = c**5 + 4*c**4 - 4*c**3 + 10*c + 4. Let g(t) = -4*k(t) + m(t). Find the second derivative of g(p) wrt p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -7, 0.1, -0.2, 5\/3.\nAnswer: -7, -0.2, 0.1, 0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/20 + h**4\/4 - 5*h**3\/6 - 2*h**2 + 2*h. Determine i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 97. Calculate the remainder when s is divided by 72.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 92*u**3 - 4*u**2 + 6*u - 19. Let k be j(4). Calculate the highest common factor of k and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2da - -85dc?\nAnswer: 88d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 187? (a) -3\/8 (b) -2 (c) -5 (d) 0.1 (e) -15426\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2029243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7*n = -168. Let y = 6 - n. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i. Suppose i*r + 28 = 4*r. Let a = 11 + -7. What is the remainder when r is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3271239*k - 1624596*k - 1646641*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56012 * -0.4.\nAnswer: -22404.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 247.5 + -247. Which is the biggest value? (a) -0.5 (b) p (c) 0.1 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - m**3 - 1 + 2*m**3 + 3*m + 1 to the form f + j*m**2 + s*m**3 + t*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y + 7*y - 5*y + 447*y**2 + y.\nAnswer: 447*y**2 + 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1852, 3689, 5522, 7351?\nAnswer: 9176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.013 + 0.113. What is the fourth biggest value in -3\/2, g, 4\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnynyyn. What is prob of sequence nnnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.2 - -32.2. Let h = 29\/36 + -5\/9. Put h, 2\/9, t, -1\/5 in decreasing order.\nAnswer: h, 2\/9, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3895, 8034, 12417, 17044, 21915?\n\"Answer: 122*v**2 + 3773*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (17 - (-10 + 8)) + (-1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h - 1. Let a be j(1). Suppose -3*b + 2*b = -2*f + 12, -4*b = -5*f + 33. Suppose a*w = -d + 38, 3*d - f*w + 1 = 30. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1909 - -4015. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2175, 2843, 3959, 5523, 7535, 9995, 12903?\nAnswer: 16259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-4 - 90\/(-24)). Which is the nearest to 10? (a) -0.2 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324409507?\nAnswer: 41, 521, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 178169238?\nAnswer: 178169238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 2:34 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {h: 3, v: 2, d: 3, y: 1, c: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) 2\/3 (c) 1 (d) -4 (e) 0.5 (f) 54.1 (g) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 8. Let t(v) = 2*v - 14. Let x be t(11). Let d = x + -15. Let q(h) = -h**3 - 6*h**2 + 9*h + 8. Let o be q(d). Calculate u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -251275130 + 14?\nAnswer: -251275114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:16 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2571618 is divided by 73463?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**4 + 7*u**4 + 8*u**6 - 6*u**4 - 19*u**2 wrt u.\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2359 + 19505.28\nAnswer: 17146.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/480 and 71\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 1548, 3 in increasing order.\nAnswer: 3, 35, 1548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 93?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 519.5 - 43.21\nAnswer: 476.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 4*q + 2. Let v(w) = -w**2. Let j = -18 - -19. Suppose -j = -7*h + 8*h. Let n(c) = h*k(c) + 5*v(c). Suppose n(r) = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.038 - -0.012. Let c = -12.35 - x. What is c rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + 66 + (-95 - -4)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + o = -6*n - 51, -n = 6*o - 11*o - 200 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 + -1002012001?\nAnswer: -1002020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14288 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 108?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95404*g + 53766 wrt g.\nAnswer: 95404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*t - 5*g, 2*t = 6*t + 4*g - 8. Let h = 8027\/4 - 2007. Is t != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2) + (-10 - (-115)\/14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -50, -59, -52, -23, 34, 125, 256?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7656 is divided by 2548?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -527?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.75 + 29.05. Which is the second smallest value? (a) -1 (b) z (c) -1\/3 (d) 10\/9 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -383 divided by 5\nAnswer: -383\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjj. What is prob of picking 2 j and 1 m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1701 times 0.81\nAnswer: 1377.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*o = -4, -2*i - 2*i = 5*o - 12. What is the units digit of i + 5*2\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.372254 + 0.172254. Let p = 0 + 0. Which is the closest to p? (a) x (b) 0.5 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(189))\/sqrt(9))\/(sqrt(147) + sqrt(147) + (sqrt(147) + (-2*sqrt(147) - sqrt(147)) + sqrt(147) - sqrt(147)) - sqrt(147)).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**5 - 36*b**4\/7 - 96*b**3\/7 + 18*b**2\/7 + 75*b\/7 + 18\/7 = 0. What is b?\nAnswer: -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/14, 1, -3\/4, 4, -0.5?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2200*n**2*s - 424*n**2 - 52711*s wrt n?\nAnswer: 4400*n*s - 848*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -16*f**3 + 41*f**2 + 10*f + 41. Let j(n) = -3*n**3 + 8*n**2 + 2*n + 8. Let d(p) = 11*j(p) - 2*l(p). List the prime factors of d(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, y: 4, a: 4}. Give prob of picking 1 a and 1 t.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1390 divided by 278.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (817 - 7)*(-2)\/3. Round t to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-48)*-20)\/(1\/20156). Suppose 0 = 27*h - 22*h - x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 326 and 324 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -23. Suppose -3*c - 4 + 7 = 4*x, 3*c = l*x + 3. What is the biggest value in -1\/4, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3739 is divided by 156.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/63)\/(2\/5) + -1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x. Suppose 2*v - 3 = -3*c - 7, -3*v + 4*c - 6 = 0. Let i(p) = -2*p**2 - 13*p - 23. Let b be i(v). Put x, 8, b in ascending order.\nAnswer: b, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (0 + 6 + -11 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19337.75 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4032409578?\nAnswer: 2, 3, 1789, 375667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1441313041?\nAnswer: -1441313040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.3321 litres to millilitres.\nAnswer: 53332.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 31. Suppose -15 - 27 = 3*y - 4*p, 0 = 4*p. Let l be i(y). What is the remainder when 5 is divided by (6\/(-5))\/(2\/(-15)*l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 - -8?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734652 is divided by 56384?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.6 + -18.3. Let x = -31 - -32.7. Let i = x + l. What is the nearest to 0.1 in 2\/11, 10, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkkmwwgkk. What is prob of sequence mkmg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 81576 divided by 14?\nAnswer: 40788\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33193057 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84226?\nAnswer: 2, 23, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1958 - 167. Is 43 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 13 = -s, q - 5*s - 11 = -0*q. Let v = 214 - -47. Suppose 0 = 3*y + 63 - v. Calculate the highest common factor of q and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/3, 16, -1\/5, 13367?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + 232\/72. Let y(l) be the third derivative of l**4\/12 - l**2. What is y(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-127971.1\nAnswer: 127971.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155774497 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvmvmmvvvv. Give prob of picking 2 v and 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*p**4 - 12*p - 22?\nAnswer: 1284*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 divided by -20?\nAnswer: -263\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 12\/25 of a micrometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -515*w**3 - 7*w**2 - 6*w - 16. Is 14 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 100861.\nAnswer: 121033.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*m - 4*u, 0 = -3*m - 6*u + 2*u - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2 - 106810814*v + 106810813 = 0.\nAnswer: 1, 106810813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*y = 0, 6 + 23 = 5*v - 2*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46658 is divided by 952.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -998.3556 to the nearest 10.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(440))\/sqrt(11))\/(sqrt(8)*-2*2) + -2 + 5.\nAnswer: sqrt(5)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2090178 and 5994.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036794 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teeeeeteeeetet. Give prob of picking 1 e and 3 t.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 249, 375, 501?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from cyycsssy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 40*q**3 - 160*q**2 - 59*q + 226. Determine z(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53839515 to the nearest integer?\nAnswer: 7338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 14) to base 7\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from bjzqzzbjjbpjqzu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**9\/252 + j**5\/10 + 7*j**2. Find the third derivative of i(z) wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.027292 days in weeks?\nAnswer: 2.146756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v*v*v**(2\/7)*v*v*v*v)\/v)**(-2\/161))**(-1\/9)*((v\/v**(-1\/8))\/(v\/(v\/v**2)*v))\/(v**(-1\/2))**(-19) assuming v is positive.\nAnswer: v**(-307399\/27048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - a**2 - 15*a - 49 + 19*a = 0. Calculate a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841946.\nAnswer: 2, 7, 60139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, y: 5, t: 1, z: 10}. Give prob of picking 2 z, 1 k, and 1 t.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*j - 420*j + 203*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 43*l - 481. Give d(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -163*r**2 - 15*r - 20. Let g(a) = -245*a**2 - 22*a - 31. Let y(d) = 5*g(d) - 8*s(d). Find the second derivative of y(o) wrt o.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 g, and 1 k when three letters picked without replacement from {g: 1, w: 1, a: 2, k: 1, b: 2, i: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22318 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 38*n**3 + 3*n - 5. Suppose -2*k = 4, 2*y - 4*k - 4 = 4*y. Suppose -31 = -3*v - 5*a, -3*v - y*a + 21 = 5. Is 61 a factor of s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 6:40 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 + 9*u - 14. Let p be r(6). Let a(i) be the first derivative of -2\/15*i**3 + 1\/10*i**4 + 2\/5*i - 1\/5*i**2 - p. Factor a(o).\nAnswer: 2*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 297376*a*p**2*y - a*p*y**2 + 43819*p**2*y**2 + 2*p**2 wrt a?\nAnswer: 297376*p**2*y - p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s - 8. Let w be f(-8). Suppose 0 = 7*n - 304 - w. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(5 + (sqrt(108) - sqrt(108)*-4) - 5*(sqrt(108) + 1 - sqrt(108))))**2.\nAnswer: 388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, q: 2, r: 2}. Give prob of picking 1 j and 1 r.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -16.9, 3\/7 in increasing order.\nAnswer: -16.9, -0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/8)\/((-2)\/((-24)\/3)). Suppose g = 9*x - 3. Suppose 4*p - 7 = u - 1, -5*u + x*p + 6 = 0. Solve 0 = -u*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*m - 467 - 53 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 45. What is the third derivative of -25*h**5 + 45*h**2 - 10857*h**p + 10857*h**4 wrt h?\nAnswer: -1500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7764, -31180, -70202, -124824, -195040, -280844?\nAnswer: -382230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 45 = 19*j - 5*n, 4*j - 7*n = -29. Let o(m) = -m**3 - 2*m**2 + 5*m + 12. Give o(j).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**5 - 5*p**5 + 5*p**5)*(-9 - 10 + 5).\nAnswer: -28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17829*p*t**6 - p*t**2 + 100294*p - t**3 wrt t?\nAnswer: -2139480*p*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 21 = 3*c, 0*a + 2*a + 6 = 3*c. Let b(o) = -16*o + 3. Let v be b(a). List the prime factors of v\/25*(-15 + 0)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (219\/(-8030))\/(75\/250)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**6\/660 + 811*s**5\/330 + 41410*s**4\/33 + 163216*s**3\/11 + s**2 + 2615*s. Let k(a) = 0. What is a?\nAnswer: -404, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2607 = 25342*a - 25421*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/z)**(-3\/16)\/(z**(1\/17)*((z*z\/z**(-6\/5))\/z*z*z)\/z))**(-1\/38) assuming z is positive.\nAnswer: z**(4687\/51680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(720)*-3*5 - sqrt(720)) + 1 + 4.\nAnswer: -192*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/15 + 10652*m\/15 = 0 for m.\nAnswer: 0, 5326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3, -1, 6\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/360 - q**5\/180 + q**4\/72 + q**3\/18 + 19*q**2. Factor z(l).\nAnswer: -(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i = -38*i + 171. What is the remainder when i + -10 - 3\/(-1) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1 + (3 + 2 - 4)*(-3 + 5 - 4) + 2 - 1 + 1 + 4 - 3 - 3)*((-4*g + 4*g - 2*g)*(4*g**2 - 4*g**2 - g**2) - 2*g**2 + 2*g**3 + 2*g**2).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/2)*(t\/t**(-1))\/t*(t\/(t*t**3)*t)**(-19) assuming t is positive.\nAnswer: t**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792*r = -784*r + 80. Does 15 divide (139 + r)*(-12)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151*v**2 + 9*v - 19*v**4 + 151*v**2 - 8*v**4 wrt v?\nAnswer: -324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10452.\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145000 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgjjljbjbdb. Give prob of picking 1 j and 1 l.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 8*b - 7. Let f be o(-6). Let l = f + 7. Let u = -8 + l. Calculate the least common multiple of u and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-50) - (0 - (-17)\/(-5)). What is the derivative of 0 + 5 - d - 7 + 42*n**4 wrt n?\nAnswer: 168*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + (-2)\/3. Let f(q) = -q**3 + q**2 + q + 11. What is the smallest common multiple of f(x) and ((-12)\/10)\/((-2)\/10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 2 - ((-32 - -21 - -9) + 10)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -1\/2 (c) -3 (d) 3\/14 (e) 2 (f) 78 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15493104 divided by 144?\nAnswer: -107591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqronrqqqnwrqowqqww. Give prob of sequence qwwr.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 736*k - 763*k + 459. Calculate the remainder when 1222 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 112\/12 - ((-55)\/15 - -3). Suppose -7*s = -2*s, c = 2*n + 4*s. Calculate the smallest common multiple of 211 and n.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*v + 152, 16 = -f - 4*v + 60. Suppose 0 = 3*y - y - f. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242506 is divided by 18005.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*w**3 - 78*w**3 + 2*w**2 + 121*w**3 + (2*w**2 + w**2 - 6*w**2)*(-2*w + 0*w + 3*w) as l*w**2 + q*w + d + i*w**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 0.07. Let p = h + -4.88. Sort -1, p, 1 in descending order.\nAnswer: 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 2*c**2 - 3*c - 4. Let o be b(-2). Suppose 3*w + o = 2*r - 0*w, -2 = w. Is (r + 3)\/(-1)*(-166)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2. Let y(h) be the second derivative of 0*h**3 - 11\/2*h**2 + 1\/6*h**4 - 24*h + 0. Calculate y(b(o)).\nAnswer: 8*o**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2605933 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuvv when four letters picked without replacement from vxxuuccvuxxcxccxvux.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/4))**(-46))**(-6\/23)\/((d**1\/d)\/d*d*d\/(d\/(d*d**(4\/3)))*d)**(-48) assuming d is positive.\nAnswer: d**169","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -107 + 27325?\nAnswer: 27218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7428488, -14856977, -22285466, -29713955?\nAnswer: -37142444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 7:54 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h + 38. Let m be c(-4). Solve m = -i + 2*r, -4*i - 27 = -i - 3*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 16.697, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34829461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 20. Let v(g) = 6*g**3 - 9*g**2 - g + 1. Let k(p) = 11*p**3 - 27*p**2 + 9*p + 2. Let r(l) = -k(l) + 2*v(l). Determine r(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987.5572kg to grams.\nAnswer: 987557.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 0 + -5*(-5)\/25 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 126\/4*8\/6. Let a be ((-1)\/(-3))\/(2\/h). Suppose 10 = b + 5*g, 0 = 2*b + 3*g - a - 6. Solve 0 = b*t + 3*v - 37, -2*t - v + 9 = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25066 and 1208?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*r**2 + 10508*r**2 - 1076*r + 1076*r.\nAnswer: 9747*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.728 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -80.\nAnswer: -41\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 340592634 to the nearest 100000.\nAnswer: 340600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1270108?\nAnswer: 2, 7, 45361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*r + 13 = -120*r + 46 + 31, -2*s - 4*r = -3*s + 59 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000069324101 rounded to six dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0 - 7*y + 4 + 3. Let u = -102 - -104. Let v(m) = 1 - 3 + 3*m - 2 + u - 1. What is -4*h(p) - 9*v(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -5. Let u be 4\/f - 16\/(-6). Suppose 0 = 4*b - 3*l - 412, 0 = 4*b - u*b + 3*l - 188. Round b to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/36*3*20. Which is the third smallest value? (a) 0.1 (b) -1\/2 (c) x (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhfkakfffwfnf. Give prob of picking 1 a and 2 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(70) + sqrt(70) - sqrt(70))*1*-5)\/(-2*((sqrt(180)\/sqrt(3))\/sqrt(6) - (sqrt(10) - (2*sqrt(90))\/sqrt(9)))).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {k: 2, b: 2, o: 3, e: 1, n: 3, z: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.93923369 rounded to 3 decimal places?\nAnswer: -30.939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 8*g**2 - 12*g. Is 8 a factor of u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1136*-3495\nAnswer: -3970320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -28*n. Let k(f) be the first derivative of -f**3\/3 - 13*f - 2066. Determine k(h(x)).\nAnswer: -784*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-61)\/(-96))\/(6\/(-30)*5) and -113\/14.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -281*q**3 + q**2 + 3*q + 1. Let j be y(-1). Let f = j - 214. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 d when three letters picked without replacement from xvoqxxqqxdo?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1168, -1166, -1164, -1162?\n\"Answer: 2*d - 1170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2201 and 0.4.\nAnswer: 880.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 15. Let g be x(11). Is 2\/g - 1227\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:25 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.16 - 0.16. Which is the closest to 2? (a) -2\/7 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3220 (base 5) to base 13.\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -266 + 493. Suppose -4*p - 3*z + 176 = -z, -5*p + z = -d. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.22694mg to micrograms.\nAnswer: 76226.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*q + 31*q - 5*q**2 + 4*q**2.\nAnswer: -q**2 - 244*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324880 and 48608?\nAnswer: 31838240","meta":{"dup_signals":{},"source":"numbers__lcm_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 y = 500 - 496. Which is the second smallest value? (a) 7 (b) y (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 292\/28*(7 - 0). Suppose m*v = 62*v + 2101. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 70505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 - 69. List the prime factors of k.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z + 22. Let x(m) = 7*m + 17. Calculate 4*c(h) - 5*x(h).\nAnswer: -11*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -259*h + 79. What is the units digit of d(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, 25, -1112?\nAnswer: -1112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + (-39)\/18\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*g - 50, -2*g - 2 + 4 = 0. Solve -u + m = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a + 1. Suppose -1 = -o - z + 2, 2*o - z = 6. Let s be l(o). Solve -5*b + s = -6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2. Let y(s) = -54*s. Give c(y(g)).\nAnswer: 14580*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81\/13 - 969\/143. Let s be ((-3)\/(-6) - 2)\/(-6). Let v = 98\/387 + -4\/129. Which is the nearest to 1? (a) v (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 - 2*g + (4*g - 6*g + 3*g)*(0 + 2 - 1) + 2*g - 5*g + 5*g)*(-4*g + 5*g + 0*g + (-2*g - 1 + 1)*(3 + 4 - 5) - 187 + 187 - 55*g).\nAnswer: -58*g**2 - 58*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 3*r + 4349 - 4784, 2*b - 2*r - 166 - 8 = 0 for b.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4621 is divided by 219?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/85, 0.5, -37, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*n + d, -37*n + 36*n = d - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47468 - 22690. Calculate the highest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187169, 187171, 187173?\nAnswer: 187175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -541 or -41598?\nAnswer: -541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/42)\/((-2)\/123). Let i = s - -33. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1485\/81 + -25)*2136\/445.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101 - -101?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 q, and 1 x when four letters picked without replacement from xfxqqssvffqqxqvssvv?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 81773*f**2.\nAnswer: -f**2*(f - 81773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffllvaqaaili. Give prob of picking 2 l, 1 v, and 1 i.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayffbyyabqfbbbbfff. What is prob of picking 1 q, 1 f, 1 a, and 1 b?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1086*f + 387. Does 57 divide i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23661, 47328, 70995, 94662, 118329, 141996?\nAnswer: 165663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by ((-145)\/(-20))\/(4\/16)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2622)\/874*(15\/690)\/((-1)\/(-2))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10440 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-150)*(14 + -64).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:56 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*d + 8*d + 2*d + (5 - 4 - 2)*(5*d - d - 2*d + (-2*d + d - d)*(-3 - 5 - 1)) as u + t*d and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 187097 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -68*m**4 - 33312*m**3 - 4077780*m**2 + 480200*m = 0. What is m?\nAnswer: -245, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 760602901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u - 5*o + 6, -2*u - 2 = -5*o. Let j = 6 + -4. Suppose -u - j = -x. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/11 (b) 3770 (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*sqrt(9)\/sqrt(3))**2*-6.\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/21 - 12\/(-21) and -107\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*1)\/((-52)\/1456*-7)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2403 and 178?\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/71 + -220\/497. Let p be (-1)\/4*(-4)\/3. Let r = 0.2414 + -5.2414. Put v, -1\/3, r, p in increasing order.\nAnswer: r, v, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**6\/360 - 4*m**3\/3 + 2. Let x(o) be the third derivative of a(o). Let q(h) = h**2. Determine q(x(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168188 plus 0.2?\nAnswer: 168188.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 3*s**2 + 5*s - 1. Let x be g(4). Let z(w) be the second derivative of w**5\/20 - w**4\/12 - 2*w**3\/3 + 3*w. Give z(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 - p + 4*p - 2*p**2 + p. Let k(b) be the second derivative of b**4\/12 - b**3\/6 - 2*b - 93. Determine 20*k(x) + 5*s(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14010134 + -3?\nAnswer: 14010131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (23 - 6) + 1005\/(-60). Let u(f) be the second derivative of 0*f**3 + 10*f - w*f**4 + 0 + 0*f**2. Calculate u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxwxxxwxx.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*6\/(-9)*(-6 - 6 - -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 - -4. Let v = 1414.94 - 1415. Which is the second smallest value? (a) q (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 - 3*r**2 + r - 3. Let b be n(-3). Let k(i) = -i**2 - 142*i - 4825. Let u be k(-59). What is the highest common factor of b and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 233689\nAnswer: 3\/233689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*n**2 - 4)*(-4 + 4 - n**2)*(0*n - n - 2*n).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -12*c - 5. Suppose 5*d - 10 = -5*i, 703 = 2*i + 4*d + 687. Let s(j) = -11*j - 4. What is i*s(n) + 3*x(n)?\nAnswer: 8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86990722 divided by 43495361.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 17*f = 1500. Let q = -322 + f. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*k + 3*p, 0 = 1336*k - 1331*k + p + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:08 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 146*q**3 + 866*q**2 - 537*q - 2859. Give t(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 844 = -9*i - 759 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 162, 309, 452, 591, 726, 857?\n\"Answer: -2*x**2 + 153*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 67\/5, -12, -4\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*b - 0*b + 113, 2*r + 5*b = -51. Is -24 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 2:25 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27290063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4761686589 + 5.\nAnswer: 4761686594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 8) to base 9.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 110*f**2 + 1409*f + 8923. Determine l(94).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860*f + 1693*f = 84133 for f.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -247876 - 121?\nAnswer: -248107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, v - 406 = l + 3*l. Suppose k = -5*t + 753, 3*k = 4*t - v - 185. Let b = -150 + t. Solve -u + 4 - 6 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 96. Let f be 177\/18 - (-4)\/w. What is the greatest common divisor of f and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at least -134.91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*j + 124*d + 3*j - 29 wrt d?\nAnswer: 2*d*j + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 295919a + 3?\nAnswer: 29591a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 5:39 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*c + 100 = -3*t, -5*c + 101 = t. Suppose 30*z - 33*z + t = 0. Solve -q + d = 2*d - 7, 0 = -5*q - 4*d + z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/4596 and -43\/3064?\nAnswer: 9192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -1, 6, -1\/4, 3\/2, -0.03, 276?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - (-44)\/3. Suppose -w = 2*w - x. Suppose w*o - 2*o - 39 = 0. What is the remainder when 37 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-44)*(-1 + 12\/9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132902598 by 585474.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 = 90*b - 87 + 254 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 8*y - 4. Let o(f) = -8*f + 1. Let v be o(-1). Let d be h(v). What is the second derivative of -x + x**5 + 0*x**d + 0*x wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 16, 214 in decreasing order.\nAnswer: 214, 16, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257841 is divided by 31161?\nAnswer: 8553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:37 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -17 (b) -5 (c) 0.5 (d) -1\/571\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 668700877 and 361?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/158 and 26\/553.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose -r*x = 4*c - 18, -3*x + 21 = 4*c - 2*x. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + d. Let u(t) = 2*t**3 - 18*t - 24. Let z(f) = -2*m(f) - u(f). Factor z(h).\nAnswer: -2*(h - 3)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c = 5764 + 493374 - 15186. Is c a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.108792327074 + 0.2\nAnswer: -1.908792327074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -b51 (base 12) in base 5?\nAnswer: -23040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = 3*m, 12*m - 12*f - 74 = 7*m. Let c(q) = 74*q + 154. Calculate c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/3)\/(c\/c**(2\/3)) assuming c is positive.\nAnswer: c**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9208*p + 38. Let c(l) = 4601*l + 16. What is -7*c(q) + 3*k(q)?\nAnswer: -4583*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 3629341*p**3 - 2*p**2 - 1814643*p**3 - 1814696*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -18*y**2 - 31*y - 5. Let q(b) = b**2 + 1. What is 5*q(k) + r(k)?\nAnswer: -13*k**2 - 31*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and (-4)\/6 + (-5 - (-3164)\/84)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -23.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1212, 2419, 3624, 4827, 6028?\n\"Answer: -u**2 + 1210*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1170 + 5847\/5. Let z be 12\/8*4\/(-1). Let y be ((-4)\/6)\/(z\/2). Which is the smallest value? (a) y (b) n (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 360476265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**1)*w**(-5\/4))\/(w**0)**(-37) assuming w is positive.\nAnswer: w**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.01 + -78.265. Is y at most as big as -0.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.75581 kilometers to meters.\nAnswer: 49755.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6435 is divided by 804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -184\/7 (c) -4 (d) 2 (e) 0.7 (f) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20379089 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34231405 + 3?\nAnswer: 34231412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 7*w**2 - w - 4. Let a be f(-7). Solve l - 5 = 4*x, -a*l - 2*x = -8*l + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 67. Suppose -g + 32 - 16 = n. Calculate the remainder when 125 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-7 + 6)*-1. Sort q, 4\/15, 5, 2.\nAnswer: q, 4\/15, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 19*k**5 - 6*k**2 + 71*k + 6. Let i(w) = -20*w**5 + 7*w**2 - 70*w - 7. Let u(v) = 6*i(v) + 7*x(v). Find the second derivative of u(h) wrt h.\nAnswer: 260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p**2 + 144*p - 543. What is c(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c = -8. Suppose -55 = -3*h - 2*h + c*w, 5*h - 4*w = 65. Let f(t) = 5*t. Let j(p) = -p. Give h*j(i) + 2*f(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 1:54 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -350383 from -22.\nAnswer: 350361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 11*v - 12. Let q be m(8). Suppose q = 3*d - 0. Let g = -4 + 7. Which is the closest to g? (a) -4 (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -753.29433 to zero decimal places.\nAnswer: -753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 166*r**6*z + 2*r**5*z - 6*r**2*z + 15*r*z wrt r?\nAnswer: 19920*r**3*z + 120*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-39)\/30)\/((-144)\/(-240))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -21, -37, -57, -81?\n\"Answer: -2*k**2 - 6*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1907866.19951 + -1907857. Let d = -9.2 + q. Round d to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779445.9km in meters?\nAnswer: 779445900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-6 - -39) + -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.4 >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.004 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.2, -0.18, 1, -23, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.16 + 0.04. Let b = o - 4. Sort 1\/8, -5, b in decreasing order.\nAnswer: b, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176526 and 64638.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -49058.96656 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-16)\/(-840)*-3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*k - 1491 + 4615. Let l(x) = -5*x - 66. Calculate l(k).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**3\/3 + 10*w. Determine o(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 - a + 4. Let k be r(6). Suppose 4*o = k + 94. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 41369494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*r - m, r - 7*m = -8*m + 15. Let j(l) = -l**3 + 14*l**2 + 7*l - 95. Calculate j(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*y**5 - 13849*y**4 + 13849*y**4 + 30 - 4*y**5 - 30 + (-3*y**3 + 2*y**3 + 2*y**3)*(y**2 + 0*y + 0*y).\nAnswer: 20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**4 - 21*x**2 + 100*x - 2 wrt x.\nAnswer: -36*x**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1305257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -989*i + 737*i - 2520 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 203 (c) -0.182 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4, -18, 421, -2 in decreasing order.\nAnswer: 421, 3, -1, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o + 144 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29282858 to the power of 1\/2, to the nearest integer?\nAnswer: 5411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/2)\/(((p*p**(1\/6))\/p)\/p)*p**3*p\/(p**6*p*p*p) assuming p is positive.\nAnswer: p**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((100\/(-35))\/10)\/(74\/(-12173))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9*p - 16 = -2*s, 5*s = -4*p + 6. Is 4 a factor of s*(-18)\/(4 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 - 6*a**3 - 62*a**2 + 126*a + 180 = 0. Calculate a.\nAnswer: -5, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*(0 + 1 - 54)*(15 + 58 + x + 36) + x - 2*x + 2*x to y*x + q and give q.\nAnswer: 11554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 33279*z - z**2 + 3 - 5 - 33915*z - 1 in the form y + i*z + x*z**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 55. Let c be a(0). What is the least common multiple of 20 and (-3)\/(-6)*-2 + (2 - c)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1338*y**2 - 1341*y**2 - 7*y + 40*y + 22*y.\nAnswer: -3*y**2 + 55*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*sqrt(275)*1)**2 + (2*sqrt(132)*-2)\/((-1*sqrt(144))\/sqrt(12)).\nAnswer: 4*sqrt(11) + 27500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(10\/(-30))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) + 15\/6. Let y be g + 32\/(2 + 0). Solve 2*u - 12 = -2*u, 4*u = -2*b + y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times 0.646458\nAnswer: 2.3272488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, -126, -386, -730, -1146, -1622, -2146, -2706?\n\"Answer: 2*u**3 - 60*u**2 + 2*u + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-290)\/(-87)*(-18)\/(-15). Suppose 5*a + z = 23, -s*z + 2 = -5*a + 7*a. Solve a*c + 13 + 12 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 249 + -107. Does 71 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -84. Let r = u - -52. Solve 0 = -3*f + 6, 0 = -5*p + 3*f - r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2619294*f*i**4 - 10*f*i**3 + f*i**2 + 198*f*i + i**2 - 2531*i - 2 wrt i.\nAnswer: -62863056*f*i - 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Let p(a) = a**2 + 7. Calculate p(j) + s(j).\nAnswer: 2*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 7214 - 7526. What is p rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2560232?\nAnswer: 2, 79, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(12) + sqrt(60)\/sqrt(80))\/(((sqrt(28)\/sqrt(2))\/sqrt(7) - sqrt(2)) + sqrt(2)))\/(-4*((sqrt(2592) + -1*sqrt(2592) - sqrt(2592))*-5 - sqrt(2592))).\nAnswer: -5*sqrt(3)\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 bigger than -210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -21216*u**2 - 195. Let j(v) = 433*v**2 + 4. What is 195*j(s) + 4*p(s)?\nAnswer: -429*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2. Let p = -248 - -251. Let k(z) = 5*z**2 + 9*z - 4*z**2 + p*z**2. Calculate r(k(q)).\nAnswer: -16*q**4 - 72*q**3 - 81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a millimeter in micrometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 85 + 23. Let p = z + -20. Suppose -3*n + n + p = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80*d - 87*d - 214*d)*(-1 + 4 - 4) - 24*d + 2*d - 24*d to the form p*d + n and give p.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-13 - -1 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1072868 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*7\/(140\/(-12)). Suppose 4*v - 36 = -g, 2*v - 1 - f = 0. Calculate the greatest common factor of 28 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*d**2*j**2*q**2 + 49*d**2*j*q**2 + 2*d*j**2 - 2*d*j*q - 226*d*j - 5*j**2*q**2 - j**2 - 2*q**2 wrt d.\nAnswer: 138*j**2*q**2 + 98*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 88*u**2 + 932*u - 840.\nAnswer: -4*(u - 7)*(u - 1)*(u + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Suppose 5*t = 2*d + 8, 4*t + d - 17 = -8. Let g(m) = -4*m**t + 1 - 1. Determine x(g(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 7 + (-2 + 6 - 2)*(3 - 3 + 1) + 0 - 4 + 3)*(-2 - 1 + 2)*(-4 - 2 + 4)*(15*c**3 + 22*c**3 - 57*c**3).\nAnswer: -160*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049979 + 69636266.\nAnswer: 69636265.950021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/82 + (-5589444)\/(-3444) is divided by 163?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10766075?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**4\/(a*a**(-1\/3)*a**0*a) assuming a is positive.\nAnswer: a**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 3*s**7\/2 - 5*s**4\/4 - 58*s. Find the third derivative of n(g) wrt g.\nAnswer: 3780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -1\/30*i**5 + 0*i**3 + 1\/6*i**4 - 5*i**2 + 0*i + 0. Factor w(d).\nAnswer: -2*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 50. Give v(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.25 rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39920618, 39920616, 39920614, 39920612, 39920610?\nAnswer: 39920608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.206 + -5.206. Let m be ((12\/2)\/3)\/6. Put m, -1, b in descending order.\nAnswer: m, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 366*i = 363*i - 403, 2*p - 762 = -5*i. Calculate the remainder when p is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2411*v**3*z + 373*v**3 - 2*v wrt z?\nAnswer: 2411*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 388*w + 2726. Determine m(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10990000 to the nearest 100000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14636934 divided by 3.\nAnswer: 4878978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214300538?\nAnswer: 2, 3, 11, 2044277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 6:53 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000998484859 rounded to 7 dps?\nAnswer: -0.0009985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5038 - 5036. Which is the closest to r? (a) 2\/7 (b) 2\/9 (c) -11 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 948\/30 + -2. Find b, given that h*b**3 + 24\/5*b + 96\/5*b**2 + 2\/5 = 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 52*s**3 - 250*s**2 - 200*s.\nAnswer: -2*s*(s + 1)*(s + 5)*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18919 is divided by 18917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from zridrzrwtriztwti.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n. Let m be -6 - -2 - 66\/(-14). Is n not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2480.8 + 2481. Let p = 93 - 41. Let z = 1 + p. What is the third smallest value in -5, -0.5, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2707*-552\nAnswer: -1253.4264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37079.79 tonnes?\nAnswer: 37079790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-210)*56\/(-70)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*h + 15, -4*o = -h - 4 + 9. Suppose -3*y = 4*f + 2*y - 19, 5*y - 15 = o. What is the derivative of -2 + r**3 - 3*r**3 - f wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*g - 284*g - 86494 = 270*g for g.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004798600536 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177 is divided by 69?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s**3 - 13*s**3 + s**3 - 14*s**3.\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 18*a**3 + 15*a**3 + 8*a**2 - 7*a**2 + 2*a as k*a**3 + u*a + h + s*a**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11200 and 6560?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 61. Suppose 0 = -2*v + 7 - d. Suppose -4*s - v*u = -108, 62 + 19 = 3*s - 3*u. What is the remainder when 51 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -11. Calculate the lowest common multiple of 14 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544495914\/11 >= 49499629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20666051.\nAnswer: 7, 2952293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2024, -1999, -1950, -1871, -1756?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68147735?\nAnswer: 5, 23, 592589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000316726 rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 43 - 4. Let n = d + -71. Let u = 91 + n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 0*x - 135. Let s be (-2)\/5 - x\/5. Suppose -2*j + 3*c = -0*j - 8, s*c = 0. Sort -4, 3, j.\nAnswer: -4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + l + 3*n = -20, 5*l - 3*n = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1518067.5 to the nearest 1000.\nAnswer: 1518000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 29 - 24 - 283561\/41790. Let w = o + -1\/2985. Calculate the common denominator of (-49)\/4*(-2)\/8 and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 745 + -469. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(sqrt(425)*-1 + sqrt(425)) + sqrt(425) + sqrt(425) + 1 + sqrt(425) + 3)*6)**2.\nAnswer: 155520*sqrt(17) + 4977936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*88\/132 + 11*(6 - 7)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68123?\nAnswer: 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2492797 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -78*w**5 + 285\/2*w**4 - 99\/2*w**3 + 0 + 3\/2*w - 33\/2*w**2 = 0?\nAnswer: -1\/4, 0, 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2534?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10747, 315 in decreasing order.\nAnswer: 315, -4, -10747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 23*f**4\/6 - 317*f. Let u(k) = -k**2. What is v(u(y))?\nAnswer: 46*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006477696 rounded to seven decimal places?\nAnswer: -0.0006478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4232273*g**2*x + 1013*g*x + 3317*x wrt g.\nAnswer: 8464546*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - c + 8. Suppose -a - 2*a + 2*u = 0, 4*u = -5*a. Calculate z(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.064631 + -1.935369. Let u = -9 + 5. Which is the closest to p? (a) 0.1 (b) u (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -35*z + 2. Let a = -17 - -16. What is the remainder when p(a) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -17*b**3\/3 + 23*b**2 + 10*b. Is j(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3174*j = 3175*j + 3*a - 31, -3*j + a - 7 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-7)*2205\/(-420)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 0.11, 3172.2 in decreasing order.\nAnswer: 3172.2, 96, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 - a**2 + 6*a - 3. Let s be r(1). Let l(d) be the first derivative of -d**3\/3 + 6*d**2 - 10*d - 2. Is 2 a factor of l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -22. Suppose 66 = 2*g - p. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - -22. Suppose 4*x - 183 = -k, 5*k + 55 + r = 3*x. Calculate the highest common divisor of x and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (39528\/(-180))\/(447\/(-445) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*h**2 + 285*h - 450.\nAnswer: -3*(h - 5)*(13*h - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1568 - 6?\nAnswer: -1575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 5*p, 167 = 4*p + 5*c + 172. Let d(k) be the first derivative of 3\/7*k - 1\/7*k**3 + 4 + p*k**2. Factor d(l).\nAnswer: -3*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 3*p - 21, 6 = -6*i + 9*i - 5*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48390631?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - -27 - (1 - 4)) + 7\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a**3 + 3*a**2 + 3*a. Let i(k) = 119*k**3 + 35*k**2 + 35*k. Suppose -3*f + 47 = 4*n - 93, 105 = 3*n - f. Give n*s(j) - 3*i(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(2\/20))\/1. Let q = m + -5. Suppose 4*r + t + t = 6, -5 = -4*r - 3*t. Solve -13 - r = -q*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1694?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 825338123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.26 - 16.36. Which is the nearest to 13? (a) u (b) -0.4 (c) 1\/4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 223047750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6757850.\nAnswer: 2, 5, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -20 (c) 0 (d) 2189 (e) -36 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 3 + (-34 - 29) + (2 - 6)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 10. Let i be 6 + (2 - 3)*-1. Let t be (-14)\/b*2*(-6)\/i. Calculate the highest common factor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*n + v, 6*n - n - 4*v = 128. Let w = 36 - n. Solve -q + 2*o + w = 0, 4*q = 3*o + 1 + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 6*m + 3. Let j be w(-4). Suppose -4*d - 5*n + j = -6*d, n = -d - 9. Is 22 a factor of 436\/10 - d\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 51452 + 40408 = 0. What are the prime factors of i?\nAnswer: 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + ((sqrt(65) - 2*sqrt(65) - sqrt(65))\/sqrt(5) - (sqrt(91)*1)\/sqrt(7)) + 0 + -2.\nAnswer: -3*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 51*c + 60. Put c, 1, -4, -17 in ascending order.\nAnswer: -17, -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 4*u**2 + 3*u + 476. Let h(a) = 23*a + 8. What is 11*c(y) - 4*h(y)?\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.047 times 1\nAnswer: -0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.39 + -5.39. Sort 2\/13, 0.5, -4\/7, l in decreasing order.\nAnswer: 0.5, 2\/13, -4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + y + 3 - 7 - 3 as s + i*y and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 + 2. Let m be (1\/(-3) + (-1)\/3)\/2. Sort -3, v, m in ascending order.\nAnswer: -3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/10 + (5 + -3 - 10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 - 1061732*u\/13 - 162398178\/13.\nAnswer: -2*(u + 153)*(u + 530713)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 3*m**2 + 10*m + 29. What are the prime factors of x(-17)?\nAnswer: 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**3 + 6*p. Give l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {u: 7, h: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/12*(-1260)\/(-15)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1792615 and -31\/6192670.\nAnswer: 68119370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 858*f + 54439. Determine r(-191).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2720)\/(-3)*(-180)\/24. Round v to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*y = -58976, 0 = 2*f + 253*y - 248*y - 29497. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 - 3 - (-1 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.4875 kilometers to meters.\nAnswer: 18487.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 z, and 1 x when four letters picked without replacement from {d: 1, j: 4, l: 3, x: 6, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4347396301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1009582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3129645*i**2 + 1 - 3131868*i**2 - 1.\nAnswer: -2223*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 3. Let f(a) be the first derivative of -3*a**2 - 10*a - 4493. Determine 4*f(g) - 14*n(g).\nAnswer: 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8804139161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248514538.\nAnswer: 2, 31, 233, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p. Let i be t(-1). Suppose -4*f + 5 = -3*n, -11*n + 6*n + 4*f = -5. Calculate the lowest common multiple of n and (13 - 5) + i\/2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2586*j = -2584*j + 3*s + 50, -2*j + s + 30 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115, -177, -287, -451, -675, -965, -1327, -1767?\n\"Answer: -y**3 - 18*y**2 - y - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*k - 486*k - 327*k.\nAnswer: -523*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a3 - -4?\nAnswer: 4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 121030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 15 = 5*p, 2*a + 1 + 4 = 5*p. Suppose 4*j = a + 6. Suppose j*h = 1242 - 286. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118064 - -46025. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/10)\/((-6)\/(-30)). Suppose -3*w - l + 17 - 1 = 0, -3*w + 3*l = -d. Is 11 a factor of (w\/3)\/(-2) - -16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l + 2*i + 10783, 4*i = -3*l + 10771. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*((2*-2*sqrt(2299) - (-1 + sqrt(2299)*2 + sqrt(2299)))*4)**2*2.\nAnswer: -14419457 + 19712*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 220, 441, 666, 895?\n\"Answer: 2*b**2 + 215*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -0.9, -1, -3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 10*s**2 + 10*s + 15. Let i be l(11). Suppose 0 = 3*n + 4*b - 86, -i*n + 5*b = -0*b - 63. What is the remainder when n is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Let 0*u**2 - 3*u - 3*u**p + 2*u**2 + 4*u**2 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1074 divided by 6?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.1 (b) 3 (c) -5\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 13. Let i be o(-9). Suppose -4*d + i*c = -6*d + 16, -2*d + 10 = c. Suppose -4*l = -d - 0. What is the highest common factor of 7 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3 - 1. Let w be -1 + (2 - (g + 1)). What is the common denominator of -23\/8 and w - -2 - 79\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63244 divided by 4.\nAnswer: -15811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28858038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5950726 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3 - 5098*t**2 + 622450*t - 18567654 = 0.\nAnswer: -2667, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.055 - 1674873475\nAnswer: -1674873474.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -377, -596, -815, -1034, -1253, -1472?\n\"Answer: -219*c - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 0 + -13 + -73 - -19?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (-43)\/(-4) - 25\/(2 - -3). Let r = -42.9 - -4.9. Which is the nearest to v? (a) r (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7319*a - 254276 = -18950*a - 2487141 for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10113 or -22703?\nAnswer: 10113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -341*m**2 + 1018*m**2 - 23*m - 4*m**4 + m**4 - 339*m**2 - m**3 - 2 - 336*m**2 as x*m**3 + p*m**4 + j + g*m**2 + a*m and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -4\/3 (c) -3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 7*h + 4. Suppose 0 = -7*u + 2*u - 90. Let w = 25 + u. Let c be q(w). Solve -2*k - 10 = -c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-1) - (-315)\/12 and 26\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 7*v - 55. Let x(f) = 3*f**3 + 8*f + 56. Determine -6*l(z) - 5*x(z).\nAnswer: -3*z**3 + 2*z + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117013 a multiple of 1547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8190 = 27*i + 3555. Let m = i - -438. Let f(u) = -2*u**3 - 6*u**2 - 4*u + 6. Let b(r) = -2*r**3 - 5*r**2 - 3*r + 5. Calculate m*f(x) - 4*b(x).\nAnswer: 2*x**3 + 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -691 smaller than -691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 27.47, -1\/4, 0.2, -10\/13, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*l = -8*l + 1, -4*r = -4*l + 52 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = 10*t + 4943. Let c = -425 - t. Solve 0 = c*u - 0*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -355*n**4 - n**2\/2 + 450*n - 558. What is the second derivative of l(u) wrt u?\nAnswer: -8520*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/((-1)\/(20\/(-18))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 63*i**2 - 354*i - 54. Determine a(8).\nAnswer: 1146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253901.5 litres in millilitres?\nAnswer: 253901500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(45)\/(sqrt(9) + sqrt(144)) + -5)**2.\nAnswer: 10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20377 is divided by 7334.\nAnswer: 5709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 3*c**2 - 3*c + 4. Let n = 27 - 32. What are the prime factors of t(n)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*n*r**2 + 462456*n - 61822*r**2 with respect to r.\nAnswer: -122*n*r - 123644*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, m: 9}. Give prob of picking 2 m and 2 q.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2062 and 1519?\nAnswer: 3132178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/4 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 286 + 50. What is the lowest common multiple of 45 and ((-27)\/2)\/((-36)\/r)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6286, 25155, 56602, 100627, 157230?\nAnswer: 226411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-1)\/(-6)*-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21715095, -43430191, -65145291, -86860395, -108575503, -130290615, -152005731?\nAnswer: -173720851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 929\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -580, -2310, -5784, -11590?\nAnswer: -20316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l - 2*l)*(-1790 - 50 - 1126 - 795 + 959).\nAnswer: -2802*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-616)\/(-105) + -10. What is the closest to 0 in -1\/9, -0.09, -4\/7, b?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 851.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 35. Let y be (-280)\/(-25) - (g\/(-5) + 0). Suppose 0*a - a = -m - y, -5*a = 2*m - 48. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2)*z)**5\/(z**1)**(-42) assuming z is positive.\nAnswer: z**(109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1993 is divided by 296.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113897 is divided by 4951?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -16, -36, -82, -166?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.1 - -26.3. Let z = x - 52. Which is the smallest value? (a) z (b) 0.3 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1261 by 130.\nAnswer: -97\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t**2 + 4. Let v(m) = -2*m**2 - m + 2. Determine -p(i) + 3*v(i).\nAnswer: -16*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**3 - 2 + 3 - 7*g**2 - 2*g + 9*g**2. Let c(b) = -b**3 - 5*b**2 - 3*b - 7. Let s be c(-5). Suppose 7*a - s*a + 1 = 0. Determine k(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/264)\/((-10)\/(-1038)). Let b = r - -2\/55. Let f(m) = -m**3 - 3*m**2 + m. Let n be f(-3). Put -0.4, b, n in descending order.\nAnswer: -0.4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t + 4*j - 28, -4*j + 115 - 87 = -2*t. Let v(n) be the first derivative of -1\/3*n**3 + 29 + 16*n + t*n**2. Find the first derivative of v(k) wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 582 + -325. Let l = x - 257.09. Let k = -6 + 4. What is the closest to k in 0.5, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 9726)\/2 - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 17*y**3 - 5*y**2 + 5. Suppose -3*b = 3*p + 144, 0 = -2*p + p + 5*b - 24. Let a(m) = -154*m**3 + 44*m**2 - 44. Give p*r(o) - 5*a(o).\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243710*o**3 - 2437092*o**2 + 6092670*o + 200 = 0.\nAnswer: -4\/121855, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g + 90 = 3*w - w, 2*g - 36 + 6 = 6*g - 3*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/24 - p**3\/3 + p**2\/2 + 3*p. Let o(b) be the first derivative of m(b). Calculate o(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612286*w**2\/13 + 3673796*w\/13 - 480\/13 = 0 for w.\nAnswer: 40\/306143, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9495962, -18991934, -28487908, -37983884, -47479862, -56975842, -66471824?\n\"Answer: -x**2 - 9495969*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9258 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a litre in millilitres?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(28\/34))\/((-5)\/10))\/1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l. Let i(g) = -5*g**2 - 8*g - 3. Let t be ((-12)\/14)\/(2\/14). Let q(w) = t*h(w) - i(w). Let s(n) = 5*n - 72. Let z be s(14). Give q(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 + 28*p**2 - 17*p**2 + 7*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*s = -4*z - 899, -5*z + 5*s = -4455. Let f = z + -432. Let h = f - -12. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 29.8753?\nAnswer: 29.8753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9416, -18503, -27592, -36683, -45776, -54871?\n\"Answer: -q**2 - 9084*q - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + t - 3*t - t + 6*t + (-4 - 2 + 1)*(2*t - t - 2*t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t + 23. Suppose 5*q - 31 = 3*a, -12*q = -11*q - 2. Calculate x(a).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/((2220\/(-990))\/37)*(-90)\/(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/34 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 36959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 11:27 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -14.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011210?\nAnswer: 2, 3, 5, 37, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37, -72, -105, -136, -165?\n\"Answer: i**2 - 38*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 75*s**2 + 90*s - 160.\nAnswer: -5*(s - 16)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*j - 2*j + 42, 0 = 3*m + j - 93. What is the remainder when 116 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 328107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 4111200.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let v(d) = 6*d**2 + 2*d + 1. Let k(g) = 4*c(g) - v(g). Let a be k(-1). Let i = 8 + a. Is 2\/63 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y + 8*y - 3*y - 68*y.\nAnswer: -80*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/((-3675)\/462) + (1 - 5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 21. Let z(u) = 4*u**2 - 5*u + 5. Suppose -18*b + 17*b = 8. Let k(t) = -6*t**2 + 8*t - 8. Let g(h) = b*z(h) - 5*k(h). Give g(y(c)).\nAnswer: -8*c**2 - 168*c - 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 210 * 971.\nAnswer: 203910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -8 - -31) + 0 + 60\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhjfa. What is prob of sequence hj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - d**2 - d. Let f(y) = 4*y**3 - 2*y**2 - y. Let i(t) = -t**2 - 78*t + 158. Let a be i(-80). Determine a*j(c) + f(c).\nAnswer: 2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -3*p**6\/40 - p**5\/30 - p**3\/3 + 4*p**2. Calculate the remainder when m(-2) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 1 + 1 + (-2*n + 2*n - n)*(3 + 1 - 6))*(3466*n - 1344*n + 1396*n).\nAnswer: 3518*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**3 - 16*u**2 + 44*u - 24 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*h + 675 + 3031 - 430 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44362 - -64133. Suppose -24556 - k = -19*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52.913 - 0.087. Let p = n - -52.98. What is the closest to 0.1 in -5, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**3 - 9163*x**2 - 1666*x - 1431895. Give w(2291).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.56 in 0.2, -2, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 23178*g + 23187. Calculate s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*b - 695 = 1897 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**3 - b**2 + 1. Suppose 2*z = -3*w - 11, -3*z = 2*w - 4*z + 12. Let o = -6 - w. Give y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0716 times -0.5?\nAnswer: -0.0358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 244 = -4*i, 2*j + 4*i - 28 - 72 = 0. What is the least common multiple of j and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/10)\/((-216)\/810). Let b = 11\/56 + r. What is the smallest value in b, -1\/4, -2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -608 in ascending order.\nAnswer: -608, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 + 2*g**5 - 11*g**5 + (3*g**2 - 2*g**2 - 2*g**2)*(-3*g**3 - 2*g**3 + 3*g**3) + 2*g**5 + g**5 - 2*g**5.\nAnswer: -9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 0*b**2 + 322 + 0*b - 1\/3*b**3. Let a(z) = 3*z**2 - 2*z**2 + 4*z**2. What is a(g(y))?\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 345233004 to the power of 1\/4, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 14 (b) -1\/6 (c) 1\/5 (d) -2440\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06697691 and 0.11.\nAnswer: 0.04302309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - u + 0)*(-6*u**2 - 16 + 16)*(3 - 3 - 6*u**2) - 52*u**3 - 33*u**5 + 52*u**3.\nAnswer: 3*u**5 + 36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 3*b**3 - 2*b**2 - 105. Let h(y) = -4*y + 8*y**2 - y + 2*y. What is 3*f(n) - 4*h(n)?\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*h**2 + 497*h**2 - 3920464 - 10*h**3 + 3920464.\nAnswer: -10*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 2:28 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = b + 4. Let s = -10 - b. Suppose -4*n - s*v + 92 = 7, 2*v = -n + 25. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(3\/17))*n**(-10\/9))\/(n**(5\/6))**(-1\/6))**31 assuming n is positive.\nAnswer: n**(-15097\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*x + 321*x - 51 + 321*x + 51.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -618\/55 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**2 - 7*k. Let w(x) = 18*x**2 - 13*x. Calculate -11*n(d) + 6*w(d).\nAnswer: 9*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 267818968.83 less than -68?\nAnswer: -267819036.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Is (-186)\/q - (-1)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11552 - -11563. Solve -19 = w*u - 63 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*y + z - 17, -5*z - 20 = 5*y. Let l be (8\/14)\/(y\/(-14)). Suppose -2 + 14\/3*m + 2\/3*m**3 - 10\/3*m**l = 0. Calculate m.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {j: 4, q: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - t - 24. Let z be 1*1\/2*t. What is the second derivative of 4*a**z - a**4 - 27 + 27 + 2*a wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9432, 18361, 26802, 34761, 42244, 49257, 55806?\n\"Answer: j**3 - 250*j**2 + 9672*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 5\/9 (c) 0.2852 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 4*o - 2. Let d be t(5). Let x(m) = -13 + 3*m - m**2 + 12 + 5. Let q be x(d). Solve -4*i - h = i - 10, 0 = q*h + 20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161\/652 - 1\/326. Sort -3, 2, f, 5, -0.14 in ascending order.\nAnswer: -3, f, -0.14, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 + -5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 4 - 8 + 2*h - 3*h. Let f be j(-8). Suppose 340 = f*c - 0*c - 2*r, -2*c + 5*r + 186 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9185.035 litres?\nAnswer: 9185035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102776473 less than 102776473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.0443 micrometers in nanometers?\nAnswer: 163044.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + -5 + sqrt(17) + 1)*2 + -1)**2.\nAnswer: -60*sqrt(17) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.582355 years?\nAnswer: 0.000582355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 115 - 22 = -3*z + 3*v, 0 = 3*z + 5*v + 93 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/3 + 0)*3. Let v be (15\/(-3))\/((-3)\/9). Suppose -v = -6*h + h. Solve 12 = -h*q + 6*x - 2*x, -4*q = f*x + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjsj when four letters picked without replacement from {s: 10, j: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q + 3. What is the remainder when 56 is divided by r(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9953.422 millennia to years.\nAnswer: 9953422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -2051\/751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26664761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-6)*(-2 + 28\/3). Suppose 2*n = 83 + 33. Let g = n + s. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 69 = -3*q - 0*m, q = -2*m + 14. Let o = -4 + q. Let p be -3*(-1 + 0 + 0). Solve p*b = c + 16, 2*c + 4*b = -2*c + o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03109 times 0.005?\nAnswer: -0.00015545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 3*h**3 - h**3 - 3*h)*(-9858 + 9858 - 159*h).\nAnswer: -318*h**4 - 159*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1403*r + 1273*r + 2600. Calculate the lowest common multiple of 4242 and r.\nAnswer: 42420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112213 - -10331031?\nAnswer: 11103310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1)**(-6\/11)\/(o**(-2\/3))**(-20\/9) assuming o is positive.\nAnswer: o**(-40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6792351 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 - 47*t + 13. Let n be z(-9). Let s be (7\/(n\/(-36)))\/((-3)\/8). What is the highest common factor of 138 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*d - 3524*d = 27935 + 7201 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.123 - -1.123. What is the closest to p in 3, -0.3, -4, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - 2 + 0*r - 6*r**3 + 3*r + 5*r**3 in the form t + i*r**3 + j*r + d*r**2 + l*r**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 1\/6*g**3 + 0 + 8*g + 2*g**2. Let l be k(-7). Let t(y) = -y**2 - y + 2. Determine t(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 2:54 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*y - 25*y + 8. Let p be (-1)\/y*16\/56. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 2\/11, 5.\nAnswer: -0.2, 2\/11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, o: 15}. What is prob of sequence oojo?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-6560)\/(-100))\/((-4)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 8:57 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 12*y + 3. Let t be c(-6). Suppose 2*x + t - 35 = 0. Calculate the remainder when 44 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**5 + 0*t**3 - 3*t + 0 + 15\/2*t**2 - 15\/2*t**4 = 0.\nAnswer: -1, 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 1006 = -1044. Are -1\/14109 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*b = 8*c - 143, -429 = -3*c + 2*b. What are the prime factors of c?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -389.\nAnswer: -3\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**3 - 4*k**3 - k**3)*(45*k - 58*k - 24*k).\nAnswer: -74*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/1040 or 0?\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.99 (b) -2\/5 (c) 1\/8 (d) -5 (e) -10 (f) -0.5 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 310 or -20\/9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9 plus 3268593867?\nAnswer: 3268593856.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*r = -2*s - 8, r = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 13*n**2 - n + 8. Let g be q(-13). Suppose 5*o = 3*w + 91, g = -4*o + 5*o - 2*w. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 4*h**2 - 4*h - h**3 - 4 + h. Let q be o(3). Let k = q + 16. Calculate the remainder when 61 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8482*i**2 + 171*i - 51. Let t(m) = 4241*m**2 + 85*m - 27. Let v(w) = -2*l(w) + 5*t(w). What is the second derivative of v(q) wrt q?\nAnswer: 8482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/7 of a week?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 28*k + 3. Let x be z(1). Is x bigger than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -11\/30824, -4\/7, -2\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-30) + (-55263)\/(-45) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-20)*25)\/(((-8580)\/117)\/(-44)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22022, -46438, -73256, -102476?\nAnswer: -134098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.197 - 3.197. Let g = 1.6 + -7.6. Let p = 5.7 + g. Put p, -0.4, h in increasing order.\nAnswer: h, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 7 - -5) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 29. Solve -3*q + 2*y = -q - 4, q = b*y + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10546 and 718.\nAnswer: 3786014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*b - 3*f + 2*f, 24 = -3*b - 5*f. Let w = 1067 - 1078. Sort b, w, -4.\nAnswer: w, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10584 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*h - 4*h - 40, 0 = -h. Solve -t + 2 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148829\/22 + 6768. What is the common denominator of 11\/10 and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6317658.\nAnswer: 2, 3, 350981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1.5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-7926)\/(-26)) + -2. Let v = -309 - p. Let n be (-8)\/(-28)*(-7)\/(-4). Which is the closest to n? (a) v (b) 0.3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 - 2*p. Let z be c(3). Let i(t) = 5*t**3 - t**2 + 6*t + 1. Let j be i(2). Let u = j - 44. Calculate the greatest common divisor of u and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/8)*i)**(5\/11) assuming i is positive.\nAnswer: i**(45\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4588?\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 119159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.037 in 0.4, 1.1, -2\/13, -1, 86, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.346 and 8.\nAnswer: 7.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 407, 549, 691, 833?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0398 to three dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-17 - -17) - (6 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -69*c**3 - 284*c**2 - 22*c. Let a(s) = 13*s - s - 16*s - 14*s**3 - 57*s**2. Let b(f) = 11*a(f) - 2*j(f). Find the third derivative of b(x) wrt x.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*z + 178 - 80*z - 178.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357104 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(88) + sqrt(88) + sqrt(88) + sqrt(88))\/sqrt(8).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333457?\nAnswer: 333457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/148*(-4)\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 40 = -3*q, -3*q + 0*q + 4*f = -50. Let d be (-417)\/(-12) - 4\/(-16). What is the highest common factor of d and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 5177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**2)**(3\/2) assuming v is positive.\nAnswer: v**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3486 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00080067163 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3751 - -3901. What is the highest common divisor of 40 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -31. Let b = z - -8.994. What is b rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 + -4)\/(6\/39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168532 (base 10) in base 9?\nAnswer: -276157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**6 - 31893*q**5 - 2*q**2 + 22761*q wrt q?\nAnswer: -240*q**3 - 1913580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 142?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -3*f + l, -4*f + 265 = -2*l + l. Calculate the highest common divisor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*d)*(d**3 + d**3 + d**3)*(1 - 1 - d).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 - -14.81. Let r = -448 + 433.28. Let p = r + w. What is p rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (22 - 5) - 16) + 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxp when three letters picked without replacement from {h: 5, k: 2, b: 3, x: 3, p: 7}.\nAnswer: 7\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*d**2 + 64 + 18*d**3 - 132*d + 45*d**2 + 20*d**3 - 42*d**3.\nAnswer: -4*(d - 16)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475)*3 + sqrt(475) + sqrt(475) + -4*-3*sqrt(475) + sqrt(475))**2.\nAnswer: 360*sqrt(19) + 153904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 86 = -3*d + 69, 4*d = -t - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + 9. Suppose n = 2*j + f, 6*n - 4*n - j - 84 = 0. What is the remainder when n is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-2205)\/1085))\/(4\/(-7)).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 2*v**3 - 6*v**3)*(19*v + 6*v - 2*v)*(-2 + 2 + v).\nAnswer: -46*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 4:29 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8 - 3438*g + 10 + 14470*g.\nAnswer: 11032*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*b - 13 - 27, 3*b = 2*c + 21. Let d(f) = 14*f + 2*f**2 - 36*f + 10*f + 13*f - b. Let i = -3 + 4. Let h(u) = u**2 - 1. Calculate i*d(o) - 3*h(o).\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3*p - 52*d*p - 56*p + 12 wrt d.\nAnswer: 6*d**2*p - 52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*i + 16, -4*i - 4*p = -6*p - 14. Let a(j) be the first derivative of -2\/9*j - 2\/9*j**3 + 1\/18*j**4 + 1\/3*j**2 + i. Factor a(f).\nAnswer: 2*(f - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161492 and 7708?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2)*(-2)\/4. Suppose -10 = 11*r + 1. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 minutes before 6:19 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*p + 3*p - p)*(3 - 5 + 0 - 1 + 3 - 4 + (-5 + 4 + 3)*(3 - 2 - 2)).\nAnswer: 108*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*2\/(-2))\/(-1). Suppose 0 = 2*x + 3*s + 7, i = 4*x - 3*s + 42 - 1. List the prime factors of (-2)\/(26\/x - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 1 - 11\/(88\/(-32)). Let s be (-1)\/(-1 + 28\/30). Let u = i + s. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87473.77 hours in nanoseconds?\nAnswer: 314905572000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 857694, 1\/2, -2\/41?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from jzyptzjjpyzzzjppz.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/(-693) + (-1276)\/(-8932)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4 + 3914*g**3 - 2523432*g**2 + 535082336*g - 532562816 = 0.\nAnswer: 1, 508, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 38*n**6\/3 + 531*n**2\/2 - 535. What is the second derivative of o(c) wrt c?\nAnswer: 1520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from vqvqvvvvvqvvvv?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**4\/12 - 2*g**3\/9 + g**2\/6 + 2*g\/3 + 2. Solve y(p) = 0 for p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p + 6. Let b be r(-7). Let c = -104 - b. Let n = c - -105. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (2 + -22)) + -14 + (-1 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2105 + -1456. Calculate the greatest common divisor of r and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2760418kg to tonnes.\nAnswer: 0.0002760418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*p + 1 - 15, -2*s - 3*p - 15 = 0. Let v(a) = -a**3 - 6*a**2 + a + 4. Determine v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1175, -2354, -3541, -4742, -5963, -7210?\n\"Answer: -r**3 + 2*r**2 - 1178*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -35*v**3 - 8*v + 4. Let d be t(6). Let w be 136*(-14 + 1 + 2). Let y = d + w. What is y rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 1, g: 5, p: 1, w: 1}. What is prob of sequence gg?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 5*u**4\/24 + 77*u**3\/6 + 10*u**2 + 3. Let m be b(-14). Solve 3*c + m = -2*g, 3 = -3*g - 2*c - c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.1 + -2.9. Let h = -17.00052 - w. What is h rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*c + 42 = -6, 5*z - 104 = -c. Suppose z*a - 9*a = 4400. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l*l**(-2\/15))**(-1\/14) assuming l is positive.\nAnswer: l**(107\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26526070 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - o - 59 = -m, -4*m + 4*o + 76 = 0. Let u be (-2)\/(-5)*150\/m. Let j = -1 + u. Solve a - j = 0, 2*p + 2*a + 0*a = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m. Let h(r) = 1229*r - 2 + 2 - 1336*r. Calculate f(h(g)).\nAnswer: 535*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 310*j**2 - 1432*j**2 + 310*j**2 + 312*j**2.\nAnswer: j**3 - 500*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83684 or 585784\/7?\nAnswer: 585784\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*y + 39, -35*y + w = -36*y + 15. Calculate the remainder when 1307 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*f**4 + 6*f - 9*f**2 + 4*f**4 + 10*f**4.\nAnswer: 3*f*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5967\/(-585))\/(2261\/(-570)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 898328 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/4 - b**3\/2 - 19*b**2. Let t(w) = 3*w + 2. What is 4*o(q) + 7*t(q)?\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 + 2*r**2 - 4*r + 4. Let a be y(2). Let w be a\/(-35)*(4 - (11 + -2)). Put 2, 1, w, -5 in descending order.\nAnswer: w, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 + 0.02. Suppose -5*i + 2*i = 27. Let n be i\/(-6)*(-2)\/(-3). What is the third biggest value in -3, n, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/5 + 378524*u**2\/5 - 7164096633*u + 71639452242\/5 = 0.\nAnswer: 2, 189261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 8*j. Let v be s(-9). Is (-1 - -12)*(v - -1)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*h - 3*h. Suppose -4*i + h*i + 36 = 0. What is the highest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a6 + 411?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*s - 60*s = -249*s - 74976. Which is the closest to -0.6? (a) 2\/11 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1764087 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 + 4*i**4 + 23*i**3*k + 7*i*k - 2*i - 10*k wrt i?\nAnswer: -40*i**3 + 48*i**2 + 138*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0.3, 3\/8, 4 in ascending order.\nAnswer: -3, 0.3, 3\/8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a5 + -708c?\nAnswer: -65b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 4. Let j = f - 32. Let m be ((-112)\/(-4))\/(j + 5). Is m at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*b**2*f**3 - b**2 - 4311*b*f**3 + 3619*b + 50 wrt f.\nAnswer: 132*b**2*f**2 - 12933*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) 68.99 (c) 2\/5 (d) -0.1 (e) -4 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -43*s**2 - s. Let f(u) = -24*u**2. Calculate z(f(x)).\nAnswer: -24768*x**4 + 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/5)*y**12\/y assuming y is positive.\nAnswer: y**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/(-1736))\/(4 - (3 - 30\/(-16))).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -11, -24, -53, -104?\n\"Answer: -q**3 + q**2 + q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1270.4 and 17.46.\nAnswer: 22181.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 479921.5 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4264561*b*t**3 - 2*b*t**2 - 10535*b*t + 4*b - 3*t**4 - 4*t - 7 wrt t?\nAnswer: -25587366*b*t - 4*b - 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/7)\/(((y*(y**7\/y)\/y)\/y)\/y*y)*y**(-2\/9)*y\/y**(-8) assuming y is positive.\nAnswer: y**(256\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-1)\/(-3))\/((-8)\/(-102)). Let y = f - -57\/52. Which is the fourth smallest value? (a) 2\/7 (b) 1 (c) -2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 2. Let k = -0.2 - i. What is the biggest value in 5, 0.3, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 6*z**2 - 6. Let a(y) = -y**3 + 7*y**2 - 7. Suppose 0 = 2*g + 3*g + 30. Let q(f) = g*i(f) + 5*a(f). Give q(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - z = -2*z - 8, 4*z = 3*w - 22. Let a(h) be the first derivative of 17 - 13*h - 4*h**w - 2*h**2 - h**2 + 9*h**2. Differentiate a(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123703282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/591 and 23\/24.\nAnswer: 4728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tctlltetcvtcllatlcec. What is prob of picking 1 e and 1 v?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -235? (a) 1\/4 (b) 4 (c) -1\/17895 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858464373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from opwwpppooopppww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-3) - -200 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/42 in 0.1, 18, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52, 71, 114, 193, 320, 507, 766, 1109?\n\"Answer: 2*x**3 + 5*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Solve 5*k + 16 = s*n, 0 = -5*n + 4*n - 4*k + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 3. Let q be l(5). Let w(y) = y**3 + 9*y**2 + 8*y + 7. What are the prime factors of w(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319011 is divided by 150?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/2 + 1 + -76 + 83?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200 - 203 - 233 + 636 - 56703*d + (4 - 6 + 1)*(-d + 0*d + 3*d) to i*d + v and give i.\nAnswer: -56705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1432233 + -324?\nAnswer: -1433112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3, 2, 5, 96 in descending order.\nAnswer: 96, 41, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43 and -0.07.\nAnswer: 42.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10428 - -2153. Let x = 39709 - m. Suppose -3*s - 2*s - 119980 = -5*k, -2*k + x = -4*s. What is k rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 - 6183*r**2 - 3182697*r + 3188883 = 0. What is r?\nAnswer: -1031, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23092285 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28115, -50645, -73163, -95663, -118139?\nAnswer: -140585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79507745 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*s - 4303 - 6461 = 127*s for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13*a**3 - 3*a**2 + 9*a + 75. Let x be k(-5). Suppose 37*u - x = -359. What is the remainder when 592 is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.073186551 * 4\nAnswer: -0.292746204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -179.\nAnswer: -11\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 18, 25, 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 1023?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*q + 30*q - 18. Let k = 0 - -4. Solve -5*h - 2 = -q*b, 0 = -k*h - 5*b - 0*b + 28 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 309 and 24.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10\/13*b**5 + 4\/13*b**3 + 0*b + 0*b**2 + 6\/13*b**4 + 0 = 0. What is b?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/5 + 23*y**3\/5 + 18*y**2 = 0.\nAnswer: -18, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) -5 (c) 1\/33 (d) 21 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 113*t - 692*t + 14613*t**2 - 4870*t**2 - 4873*t**2 - 4874*t**2 in the form u*t + b*t**3 + x + j*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 320 (b) 1 (c) -12 (d) -1\/10 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 3*v - 17, 3*a + 296*v = 292*v - 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34873 and 1621189.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -99 (c) -1134 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**2*p*x - 2*i**2*p + i**2 - 56*i*p**2 + 73*x wrt p.\nAnswer: -2*i**2*x - 2*i**2 - 112*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 3*q + 2793, 5*t + 2*q - 4641 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2 - 15*w - 350 = 0. Calculate w.\nAnswer: -7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*u = -612*u - 16, -3*i + 2*u + 19 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 5*p**2 + 2*p + 1. Let x(z) = z**2 - 13*z - 6. Let a be x(13). Let j be f(a). Suppose -105 + j = -g. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dcc (base 16) to base 15\nAnswer: -10a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*m - 21*m - 9*m + 76. Let i(g) = -39*g**2 + 3*g - 1. Calculate i(m).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 619685682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15462?\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/((a*(a*a**(-8)\/a)\/a*a)\/a))**(-8\/13) assuming a is positive.\nAnswer: a**(-62\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456046 is divided by 1143?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 6*d**2 + 0*d**2 + d**2 + 0*d**2 + (-1 + 1 + d**2)*(-1 - 2 + 5) - 36*d + 36*d + 9*d**2)*(-2*d**3 + 4*d**3 + 0*d**3).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p. Let y(c) = 10*c. Let i(m) = 7*v(m) + 5*y(m). Let n be i(2). What is the second derivative of -o - n*o + 3*o**4 + 2*o - 2*o wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 5\/8, -0.2, 1.5, 0.2?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 48*s - 581. Give x(-33).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b + 6. Let i(h) = -1 - b*h + 0*h - 1. Let u(j) = -j**2 - j - 1. Let x be (2 + -2 - 1)*2. Calculate x*u(a) + i(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 17349 + 17349.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6 + 3*c - 6*c - c - 8 + 5*c. Let r(k) = 2. What is 4*f(q) + 3*r(q)?\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 60243 = 3*j, -7*w + 84345 = -57*j + 54*j. Calculate the remainder when w is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*f - 762 + 877. Let l(b) be the second derivative of 0*b**3 + 1\/35*b**f + 8*b + 0*b**2 + 0 + 1\/21*b**4. Let l(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -0.2, -0.3 in descending order.\nAnswer: 0, -0.2, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -56?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 106148638.\nAnswer: 5\/106148638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/36 + u**3\/6 + u**2\/3 + 18*u - 18. Let t(y) be the first derivative of p(y). Factor t(f).\nAnswer: (f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 - 942362*w + 2827085\/3 = 0. What is w?\nAnswer: 1, 2827085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26\/2113 + -266153\/164814. Find the common denominator of 203\/390 and d.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 32\/18 - 67936\/(-144). Suppose q = 10*f - 6*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -24ab4?\nAnswer: -24abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 291820549496 and 0.108.\nAnswer: 291820549496.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -4*t**3\/3 + 2*t**2 - t - 3307. Let h(d) = -4*d**2 + 5*d - 2. Determine 4*a(v) - 3*h(v).\nAnswer: -4*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -267, 6 in ascending order.\nAnswer: -267, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**3 + l**3 - 2*l**3)*(-5446 + 58*l + 5446)*(-2 + 2 + 3) to g*l + s + r*l**4 + f*l**2 + a*l**3 and give r.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 8713 (c) 3 (d) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -7)\/(2*1). Suppose c = y - 4*l - 23, 3*y - y - 1 = -l. Let f be 5\/(-10) - 25\/(-10). Solve 5*d - 24 = -y*z + 2*d, f*z + 5*d - 31 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207*53\/(-159) + 49\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + sqrt(19)*2.\nAnswer: -5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.7, 1\/7, 0.5, 2 in descending order.\nAnswer: 12.7, 2, 0.5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least 7088147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 87 + 408. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442824 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 80 = 6*i, -3*i + 29 = 5*h + 75 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22686197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*i*j**4 - i*j**2 - 64*i - 2*j**3 + 39 with respect to j.\nAnswer: 236*i*j**3 - 2*i*j - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8418, 16839, 25260, 33681, 42102, 50523?\n\"Answer: 8421*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -5b8?\nAnswer: 5ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8823233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 - 96*r + 2*r**2 + 95*r to the form o*r**2 + g + c*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3159568540.20026 - 3159541714. Let f = u - 26825. Let c = f - 1.2. Round c to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(209)\/(-3*sqrt(11)) + (-1*sqrt(304))**2.\nAnswer: 2*sqrt(19)\/3 + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((1*2*sqrt(1539) - sqrt(1539))**2 - sqrt(1539)) + 2)*-4.\nAnswer: -6148 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 + 4*x**2 + 4*x**2 + 23.\nAnswer: -2*x**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(768))\/sqrt(4).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1 (c) -524\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78428 (base 11) in base 8?\nAnswer: 335761","meta":{"dup_signals":{},"source":"numbers__base_conversion_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 the remainder when 39069 is divided by 3486.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102627640?\nAnswer: 2, 5, 17, 37, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Suppose h = -6*w + 2*w + 20. Suppose d = w*i + 8 + 8, -2*d + 2*i = -32. Calculate the highest common factor of 128 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**3 + 1 - c**2 + 9*c**3 - 3*c**3 + 4*c**3. List the prime factors of s(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -13. Suppose -v = -3*y + 6, v + 0*v = -2*y + 4. Put c, -1, v in decreasing order.\nAnswer: c, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + sqrt(5) + sqrt(405)*-1 + -5)**2*-4 + 0.\nAnswer: -1280 - 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-27)*(-3)\/10. Let i = -629 - -630. What is the closest to i in 0.1, b, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24200 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*k = 4660 - 9485 - 7297 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6893, -27536, -61929, -110060, -171917, -247488?\nAnswer: -336761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 5 = -7*j. Let d(g) = g + 2. Let z be d(j). Let l = 3 - z. What is the remainder when 21 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 40. Let c be ((0 + 6)\/2)\/1. Suppose -j - 22 = -2*j + l, 5*j + c*l - 78 = 0. Calculate the greatest common divisor of j and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((80\/30)\/(-1))\/((-2)\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -49. Let a(k) = k**3 + 2*k**2 - 8*k + 2. Let y be a(l). Solve 0 = i - y*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -6)*5\/30. Let n(j) be the second derivative of 0*j**4 + 0 - 1\/2*j**3 + 4\/5*j**6 + m*j**2 - 4*j + 3\/14*j**7 + 9\/10*j**5. Factor n(b).\nAnswer: 3*b*(b + 1)**3*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 12:55 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.035 (c) -283\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-675))\/((-8)\/(-72)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2178\/5 - 434. Factor 16\/5*t**2 + 1\/5 - b*t.\nAnswer: (4*t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 48*o - 56. Let s(l) = 4*l**2 + 60*l - 51. Let i(u) = -5*g(u) + 4*s(u). Let x(a) = -2*a. Calculate x(i(y)).\nAnswer: -2*y**2 - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*d + 4*u + 4392, 5*u + 2181 = d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose 0*d - 2*d + c = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6201457799 to the power of 1\/2, to the nearest integer?\nAnswer: 78749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**4 - 3*g**2 - 9*g. Find the first derivative of z(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, d: 4}. What is prob of sequence dggg?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/6)\/(4\/6). Suppose 2*d + l + k - 9 = 0, -4*l - 24 = -3*d. Let t(u) = -u**3 + 3*u**2 + 6*u - 4. What is the units digit of t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17026241, -34052496, -51078755, -68105018, -85131285, -102157556, -119183831?\n\"Answer: -2*n**2 - 17026249*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -2\/7, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 4 - 4. Let i(l) = 2. Let o be 0 + (1 - -1) + 0\/(-5). Let v(s) = o*r(s) - i(s). Give v(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 25 = -8*m, -3*j = -4*m + 20. Suppose j - 4 = -2*g. Let c(y) = 49*y - 1. Is c(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccncncccccc. Give prob of picking 2 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 11. Let x(l) be the third derivative of -1\/4*l**4 + 0 + 0*l + l**2 - l**3. Let d(k) = 7*k + 7. Give w*d(z) - 5*x(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.34657 milligrams in tonnes?\nAnswer: 0.00000005134657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - w - 2. Let d be n(2). Suppose d*g - 3 = -3*f + 13, 5*g - 20 = -f. Sort 1, -1, g.\nAnswer: -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (39\/52)\/((-18)\/(-16)). Let c be (-12)\/30 + ((-16)\/10 - -2). Factor c*t + z - 2\/3*t**2.\nAnswer: -2*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Suppose 0 = -27*h - 128 - 7. Sort -3, -2, o, h.\nAnswer: h, -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let n(f) = -5*f**2 - 38*f**2 - 69*f**2 - 18*f**2 + 8*f**2. Determine w(n(t)).\nAnswer: -244*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) - sqrt(77)*-1)*-6))\/(-2*sqrt(539)).\nAnswer: 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**2 - 27*x**2 + 10*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513.29178 rounded to the nearest integer?\nAnswer: -3513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = 17*b - 48. What is the second derivative of 17*l**5 + 13*l**5 + 3*l**b + 14 - 96*l + 62*l - 14 wrt l?\nAnswer: 600*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x + 153 - 558 = -225. Let c(f) be the third derivative of 1\/270*f**5 - 18*f**2 + 0 + 25\/27*f**3 + 0*f + 5\/54*f**x. Factor c(i).\nAnswer: 2*(i + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 3 - (-35 - -11) - 25\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -4 (c) 3\/7 (d) -9\/968 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1787*r**2 - 13 - 15 + 21 + 7 in the form u + c*r + i*r**2 and give i.\nAnswer: -1787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -258847 + 2067853\/8. Let g = j - -364. Suppose 26*h = 5746 - 5798. Is h less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5063248290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35736 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i - 36*i = -811 + 259 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 2*h + 1. Let a be t(-1). Let n(m) = -2*m + 11. Let z be n(4). Suppose -2*f + 19 = z. What is the greatest common factor of a and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.37634 * 1110.\nAnswer: 417.7374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, c: 5}. What is prob of picking 2 y and 1 c?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -21*v**3 - v**2 + 2*v + 5. Let l(n) = -3*n**3 + 1. Let j(q) = -k(q) + 6*l(q). Suppose 2 = -3*a + 5. Calculate j(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (470\/15 - 32) + (-40)\/(-6) - -34?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61692 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 - 3*g**2 - 4. Suppose 0 = 4*u + 5*d - 26, -5*u + 4 + 22 = 3*d. Let v(j) = j**3 - j**2 - 1. Determine u*v(t) - p(t).\nAnswer: 2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*v + b + 16, -2*b = -4*v + 12. Let f be (17 + -7)*(-370)\/(-1850). Solve -v*m - 4 = -x - 3*x, -m + f = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -304 + 612. What is the highest common factor of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + (sqrt(245) + 0 - sqrt(245) - sqrt(245)) + 0 + sqrt(245))*-3)**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -674969, -1350107, -2025245, -2700383?\nAnswer: -3375521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89\/24 + 35\/8. Solve q + 2*o**2 + 2*o + 2\/3*o**3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 154, 308, 462, 616?\n\"Answer: 154*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.31 + -0.01. Suppose -x - 5 = -6*x. Put x, 2, q in descending order.\nAnswer: 2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 - (5 - 3)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -313477 + -9.87?\nAnswer: -313486.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3563 - 817*k + 2*k**2 + 0*k**2 - k**2.\nAnswer: k**2 - 817*k - 3563","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - -3. Let u = -3.9 + 4. Let d = 2 - 2.5. What is the nearest to -1 in d, u, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 5, l: 7}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/80 (b) 0 (c) -0.5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -8*q + 0*q**2 + 0 - 1\/6*q**3. What is s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275 divided by 55\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 16*r + 1967. Let s be t(-92). Calculate the highest common divisor of s and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 0, -5 + 21 = 4*z - 5*d. Suppose 0 = z*p - p - l + 105, -4*l = 12. Let t be (-1 + -3 - p)*-50. Round t to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11913945 is divided by 1985637?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -93*((-2)\/(-11) - 112\/132). Let v = -57 + f. Suppose 25 = -v*h + 20. Sort h, -18, -3 in ascending order.\nAnswer: -18, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/15)\/(12\/(-16)))\/((-2278)\/335)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.45 from -35902855048.\nAnswer: -35902855046.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14694 + 14679. Which is the biggest value? (a) i (b) -0.1 (c) 2\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9396181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2.3. Suppose -1 = z - 53. Let y = z - 157\/3. What is the closest to s in -3\/7, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -5*f**8\/56 - f**4\/4 + f**3\/6 + 4*f**2 + 5*f. Find the second derivative of p(a) wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.66 - -0.36. Which is the biggest value? (a) p (b) 1\/25 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*d**4*i**2 - 730*d**3*i**2 + 114*d*i**2 + 16*d wrt d?\nAnswer: -204*d**2*i**2 - 4380*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7*(243\/72 - 6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 f when three letters picked without replacement from kfkkfkffkkff.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4236, 3, 14 in increasing order.\nAnswer: 3, 14, 4236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-78 + 1 + -24).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2996 is divided by 444?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38912*o**3*x**2 - 383*o**3*x - 157*o**2*x**3 - 5151*o*x - x**3 wrt x.\nAnswer: -77824*o**3 - 942*o**2*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:02 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {v: 1, r: 3, x: 2, z: 3, j: 6}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5 - 58*m**4 - 300*m**3 - 572*m**2 - 466*m - 138.\nAnswer: -2*(m + 1)**3*(m + 3)*(m + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*o = -124*o - 33. Which is the smallest value? (a) -7\/5 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 19 = 9, 0 = 9*p + 5*q - 65203. What is the highest common divisor of p and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 21*y**2 - 50*y + 6. Let k(v) = 2*v**2. Calculate o(k(q)).\nAnswer: 84*q**4 - 100*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 458 - 460 = 0. Calculate the highest common divisor of 8 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**3 + 3*a**3 - 2*a**3 + 2 + (2 - 3 + 2)*(-20*a**2 + 10*a**3 + 20*a**2) + 38 + 26*a**3 - 38.\nAnswer: 28*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 1. Let d(x) be the first derivative of -x**3\/3 + x + 4. Suppose 1077*h + 34 = 1101*h + 10. What is h*d(j) - c(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -156. Let l = -34 - p. Let t = l + -75.0074. Round t to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1113, 1115, 1117, 1119?\n\"Answer: 2*q + 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 32763912.\nAnswer: 163819560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 6. Let r be g(3). Suppose l + 0 = r. What is the smallest common multiple of 4 - (l - (-4)\/(-4)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 122 + 38. Solve -2*h - q = -4, 6*h - 5*q - k = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = -1, 5*i = -3*t + 1854. What are the prime factors of i?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 160*z**2 + 125*z**4 + 38*z + 200*z**3 + 125\/4*z**5 - 1. Factor d(f).\nAnswer: 5*(5*f + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6752 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2506 and 291949?\nAnswer: 583898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -811 - -815. Let m = -48\/77 + 10\/11. What is the third smallest value in m, o, -10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 4:28 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 u, and 1 a when three letters picked without replacement from {l: 2, u: 1, b: 11, g: 1, a: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25847*d + 6 - 13253*d - 6 - 12597*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 7*b. Let a(h) = h**2 + 1. Let q(x) = 2*a(x) - y(x). Let k(u) be the third derivative of -u**4\/24 + 2*u**2. Give -6*k(s) + q(s).\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5a (base 14) to base 9\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3*(-2)\/(-9))\/((-4)\/6). Let z be (-60)\/(-63) + (-4)\/14. What is the third biggest value in 1, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - -5) + -4 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2499*s**2 - 2674*s**2 - 2150*s**2.\nAnswer: -7323*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 2*i + 17, 6*p - 8*p - 6 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 12299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003558432 to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 + 34*d**2\/5 + 32*d + 128\/5.\nAnswer: 2*(d + 1)*(d + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*n - 14, -o - n + 16 = -3*o. Suppose f = -3 + 5. Let j(k) = 6*k - 16*k - k**f - 4 + 2*k. Give j(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 428 by -744.\nAnswer: -107\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - j. Let w(s) = -6*s**2 + 10*s + 2. Let a(r) = 5*b(r) + w(r). Let g(d) = -d**2 - 11*d + 4. Let p be g(-11). Give a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*g**2 - 392*g - 27*g**2 - 39*g**3 + 41 - 396*g + 785*g as c + a*g + n*g**3 + o*g**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2860940227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 1. Let d(q) = 3*q**2 + 12. What is -3*d(m) - 36*i(m)?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15 from 1.45.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 30*z**2. Let h(q) = q**2. What is h(k(y))?\nAnswer: 900*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2178456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*2*-115. Suppose -5*v + b = -q, 3*q + 46 = 2*v - 2*q. Suppose -4*y = 2*w - 56 - 60, y = w + v. Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1768*m**3 - 606*m**2 wrt m?\nAnswer: -10608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 30 = -5*h, -3*s + 7 + 7 = 2*h. Let a = -659\/3 + 1321\/6. Factor -l + 0 + a*l**s.\nAnswer: l*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/32 and 79\/176.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 572?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*x + 11*x + 80. Suppose -20*g - 16*g**4 + x*g**2 - 9*g**3 + 8 + 74*g**5 - 70*g**5 + 25*g**3 = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, g: 7, l: 9}. What is prob of picking 2 g?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 192097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - a0?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 18. Let k = 1.55 - 1.05. Which is the biggest value? (a) -0.11 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.69 - 0.31. Let r = 6385420 - 6385438.000002. Let l = r - c. Round l to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99507 and 630211?\nAnswer: 1890633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006754024 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 1117827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-514)\/(-771)*5*-3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5512431 - -130\nAnswer: 5512561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = -4554*p + 4585*p. Suppose 0 = d - 4*u - 16, 0 = -3*d - 3*u + 6 - 18. Suppose -3*x + 322 - 61 = d. Calculate the remainder when x is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/105 and (1254\/220)\/((-261)\/(-4)).\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 741 and 3316963?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 7*l**2 + 21*l + 8. Let q be s(9). Solve 0 = 2*c + 5*w + 35, -5*c - q = -0*c + 2*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.1, -3, 3\/2, -274\/87?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47451776*c**3 + 16102655*c wrt c?\nAnswer: -284710656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 47*r - 44. Calculate i(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 194670*j - 10130952.\nAnswer: 3*(j - 52)*(j + 64942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8068.759 milligrams in kilograms?\nAnswer: 0.008068759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/(sqrt(20)\/sqrt(2)))\/sqrt(9))**2 + (sqrt(6)\/(sqrt(6)\/sqrt(3)))**2 + (sqrt(3) - (sqrt(75)*2)**2).\nAnswer: -294 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*236\/2. Suppose -f - 14 = -y. Suppose 5*a - 20 = 5. What is the greatest common divisor of f and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + x + 35, -2*r + 4*x + 58 + 12 = 0. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 1827067746 + 1827067746.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1+-0.273422\nAnswer: -1.273422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12) - 345\/450.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnee when four letters picked without replacement from {f: 6, e: 7, b: 2, k: 3, n: 1}.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075639 millilitres in litres?\nAnswer: 0.000075639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5081444701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12074.\nAnswer: 2, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 4, -122, 6.863?\nAnswer: 6.863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 322*m + 7919. What is the remainder when 11074 is divided by a(-24)?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 6}. What is prob of picking 2 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2*i**2 + 4*i)*(-2898 - 3365 + 1746 - 5937 + 86).\nAnswer: 20736*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37881 and 3933.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 929443 * -0.3.\nAnswer: -278832.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 880 - 877. What is the second derivative of -113*r**3 + 27 + 11 - 25*r**3 + 3*r**s + 5*r - 12 wrt r?\nAnswer: -810*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222919 is divided by 73884.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 361427762395 + 0?\nAnswer: 361427762395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 112 - (-43 - -141)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4323512 weeks?\nAnswer: 261486005.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 11:55 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 31 + 39. Suppose n = r + 4*r. Let p be 2 + (-1 - -1) + 0. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9353 = 379*i + 6976 - 13162 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-27) + 13\/(-63). Let u be 1 - 2\/(-4)*-2. Suppose -q = 2*m, -5*m + q + u*q = 14. Put m, r, 1\/4 in ascending order.\nAnswer: m, r, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c63 - 15?\nAnswer: c4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-7 + 3)) + (11 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-492))\/((-9)\/54) - (-8)\/164.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190.66 + -184.66. Which is the closest to 0? (a) -5 (b) -2\/31 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 69?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2747789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1489 divide 28783105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-2 - -2) + (-9 - -11)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-582)\/485*(-4)\/(-8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659193357?\nAnswer: 3, 219731119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 1 = -13*a - d, -5*a + 11 = -2*d. Solve 5*k + a*l - 1 = 0, 0 = 5*k + 4*l - 3 + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1855 is divided by 462.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 - 2*w - 8. Let i be c(4). Let p(d) = d**3 - 33*d**2 + 36*d - 75. What are the prime factors of p(i)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10 = -2*o - 54, 88 = -3*o + 5*z. Let n be (2\/(-6))\/(((-28)\/(-492))\/(-7)). Let x = n + o. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 2*b**4 + b**3 - 5*b + 2 + 4*b + 0 + 3*b**4 to a*b + j*b**2 + k*b**4 + r*b**3 + q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 12855.8843.\nAnswer: 2571.17686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -416*n + 132. Let t be c(-6). Suppose 3*y + t = 12459. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - 0.6. Let o = 2.2 - 2. Let v = o - n. Which is the biggest value? (a) v (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 25*w**2 - 46*w - 13. What is i(23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6427327.2705234 - 6427388.61. Let i = b - -61.34. What is i rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/30 and 55\/1770126.\nAnswer: 8850630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 59*i - 56*i. Find the second derivative of -148*w**2 - i*w - 32 - 19 + 78 - 21 wrt w.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/9 + 563296*k\/9 = 0.\nAnswer: 0, 281648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18.2 and 1161181.\nAnswer: 1161199.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 4 = -7*d. Suppose 9 = 5*p - 11, 4*h = -p - 16. Is 9 a factor of (d + 2)\/(h\/(-95))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**10*x*x*x**17\/x assuming x is positive.\nAnswer: x**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -3\/20*h**5 - 1\/2*h**4 - 6*h**2 + 7\/2*h**3 + 26 - h. Factor t(v).\nAnswer: -3*(v - 1)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.118102 micrometers to millimeters.\nAnswer: 0.007118102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 3. Let x be h(1). Suppose -4*q + 2*a + 6 = 0, -3*q - x*a - 9 = -4*q. Let y = -3812 + 3795. Put 1, q, 2, y in decreasing order.\nAnswer: 2, 1, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3330, -6876, -10422?\n\"Answer: -3546*d + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 8*p - 7*p - 5*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 1. Let g = 9858 - 9856. Let m(z) = 16*z - 14. What is g*m(p) - 36*q(p)?\nAnswer: -4*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 270.8107 minutes?\nAnswer: 16248642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from dldddqdpdydypp?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 10 + 4*k)*(-10 - 3 + 52)*(-2*k + 3 - 3) to w*k + q*k**2 + o and give q.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21 + (-3825)\/175)*21*-1*4. Suppose -381 + 119 = -2*r. Suppose 3*k + 2*j - r = -2*k, j = 3*k - u. Round k to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4\/5*d + 0 + 2\/5*d**4 + 0*d**3 - 6\/5*d**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 - -125. Is (-2)\/8*x - (-717750)\/120 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -815*-42\nAnswer: 34230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64192 and 4661000?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 8*c - 19 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(0 + sqrt(405)).\nAnswer: -36*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*p**2 + 9 + 4290*p - 9 - 4794*p.\nAnswer: -205*p**2 - 504*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**3 + 2*t**2 + 5*t - 3. Let n be (-54)\/(-12) - 2\/(-4). Suppose -3*g + 12 = -n*g. Is w(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72922766 and 511?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26822584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1061, 4289, 9697, 17303, 27125?\nAnswer: 39181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(36)\/sqrt(3)*-4).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1))\/j)**(-1\/13) assuming j is positive.\nAnswer: j**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.9. Let f = -1.4 + -0.6. Let x = -3 - -4. Put f, x, g in increasing order.\nAnswer: f, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 9*i + 16. What is o(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 38. Let t(f) be the third derivative of -3*f**2 - 1\/6*f**4 + 0*f + 1\/336*f**8 - 2\/105*f**7 + 0*f**3 + c + 1\/15*f**5 + 1\/40*f**6. Solve t(w) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9665 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 20*x + 62*x + 11*x - 122*x + 14*x + 22*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o. Let a be t(-4). Let k(v) = -1 - a*v**2 - 3*v + 9 - v**3 + 0 - 7*v. Let z(x) = -x**3 - 5*x**2 + x + 9. Let m be z(-4). Give k(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*l + 12, 3*g + 2*l = -5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + c**3 + 21*c**3.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 14153376.\nAnswer: -14153375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -15806 (c) 0.2 (d) 239 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eheh when four letters picked without replacement from {u: 3, e: 4, z: 1, y: 1, h: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253736330.\nAnswer: 2, 5, 89, 137, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 + (-11 - (-6 - 10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-8)*d*d**(-1\/2))\/(d**6\/(d*d**(-6)*d)) assuming d is positive.\nAnswer: d**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 11, 13, 108304?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(-1 - 1 + 0) - 2 + 1 + 2 + 2 - 1 - 2)*(-1 - 1 + 0)*(-2*l - 2*l + 3*l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 151*t**2 + 4155*t - 645724. Give d(150).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 3, 2, -0.03, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 15. Let o(t) = -t + 18. Let p(m) = -5*o(m) + 6*s(m). Let g(a) = 10*a**2 + 20*a. Give -g(k) - 20*p(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*u + 110*u - 1361 + 1177*u - 1362 + 2723.\nAnswer: 1192*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**3 + 2*m**2 - 4*m + 7. Calculate k(-3).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((18 - -1) + -592 + 602)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a62e + -4?\nAnswer: -6a633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180780845*l**3 + 3073334495*l**2 - 1022215*l + 85 = 0 for l.\nAnswer: 1\/6013, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**3 - 2*f + 4*f**3 + 4*f + f**2 + 3*f**3. Calculate g(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177638 is divided by 443?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) - 8\/21. Suppose -6*x - 12 = -3*x. Sort -1\/7, f, x in descending order.\nAnswer: -1\/7, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p + 27*p - 321*p**3 - p**2.\nAnswer: -321*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 191702148 to the power of 1\/2, to the nearest integer?\nAnswer: 13846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, q: 4, m: 2, p: 4, w: 1}. Give prob of sequence pp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.30134547 rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o**2 - 58*o**2 + 141*o**3 + 126*o**3 + 43*o**2 in the form l + g*o + x*o**3 + d*o**2 and give x.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, d: 1, q: 1, h: 3, z: 2}. What is prob of picking 2 n, 1 q, and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 6\/(-1) + -4. Sort 3, m, 1 in decreasing order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20200220100 - 10?\nAnswer: 20200220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5054.37 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/33 and 7\/15173430.\nAnswer: 166907730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 4455*v + 633853. Give h(138).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, a: 2, e: 1, t: 1, b: 1}. What is prob of picking 1 a, 2 c, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-366)\/(-610))\/((-3)\/1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 240.163 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + 3. Solve 0*m - 5*m = -d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 103336 and 3.\nAnswer: 310008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-70))\/(28\/(-70)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 7)\/(1\/(-1)). Let x(c) be the first derivative of -3*c**2 + 2*c**3 - c**4 - 2*c**3 - 2 + n. Find the second derivative of x(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06638026 times 0.1\nAnswer: 0.006638026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 94\/31 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0*m**3 + 1\/12*m**4 + 0 + 0*m + 4*m**2. Let i(f) = 2*f. Let t = 9 - 3. Determine t*z(w) - 5*i(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/103 in 0.1, -2\/5, -119, -4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let q be (-44)\/(-23) + -2 - (10 + -10). Is b smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*a**2 - 2*a**3 - 2*a - 14*a**2 - a**4 + a**3 - 8 in the form m*a**2 + w*a**3 + s*a**4 + b*a + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 10. Let k be (-1 - 2\/(-3)) + q. Which is the third smallest value? (a) 1\/2 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -38838680.\nAnswer: -3883868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9664663*f*v**2 - 6004*f - 3*v wrt v?\nAnswer: 19329326*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 278, 5, -9, -754?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(1 - 96\/87)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9631*u + 3204*u + 3204*u + 3224*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240 - 31*c**3 + 7*c**3 - 467 + 227.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13*g**3 - 41*g**2 + 16*g - 18. Give v(2).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3*70\/714)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 814 - 1394. Is 6 a factor of 4\/(-16) + u\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(363) + 2)**2 - (-3 + (sqrt(363) - ((sqrt(363)*2)**2 + sqrt(363)))).\nAnswer: 88*sqrt(3) + 1834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3390, 3389, 3386, 3381, 3374, 3365?\n\"Answer: -p**2 + 2*p + 3389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -13. Let l be (-9)\/o*(-4)\/(-1). What is the units digit of (-9)\/3*2\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 42*j + 136 - 1131 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -25132?\nAnswer: -25125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 5)*(52 - 52 - 10*h) + (-11 + 18 + 19)*(-h + h - h) as w*h + k and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -379, -13\/5, -24\/61?\nAnswer: -24\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8408 = -16*s + 4120. What are the prime factors of s?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 31*r - 54. Let v(w) = 57*w - 109. Give 6*v(h) - 11*x(h).\nAnswer: h - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 equal to 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 12*o + 37. Let v be f(11). What are the prime factors of v\/(-117) - 220\/(-18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (22 + -76 - -14).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71*g*w**2 - 11457*g + 5*w**2 wrt w?\nAnswer: -142*g*w + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 196*g**2 + 350*g**5 - 5586 + 5586 wrt g.\nAnswer: 21000*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 3*m - 2*m - 6*m**2 + 0*m**3 - 3*m**4 - 2*m - m as z + d*m + c*m**3 + i*m**2 + l*m**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 13*m - 3. Let q be t(2). Suppose 0 = -3*r + 2*u - 18, r + q = -2*u - 3*u. Let c = -8 - -7.6. What is the smallest value in 3\/5, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24599614 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*j + 10, 265*j - 261*j + 8 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 356*d**3 + 2*d**2 + 3*d + 1. Let v be k(-1). Let z = -183 - v. What are the prime factors of z?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/((-21)\/(-42))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 c, and 2 p when four letters picked without replacement from vvmbpopc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/140)\/((-18)\/(-45))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4) + 2)*(4 - 2). Let z be 8\/(-9)*t\/(-36). Is z < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2694584 and -2694586 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f - 37*f**2 + 81 - 661 + 18*f**2 + 112*f**2 - 28*f**2 wrt f.\nAnswer: 130*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 3. Let g be k(-3). Suppose 0 = 39*u - 41*u + 20. Let a(o) = -37*o - 328. Let v be a(-9). Solve v*b - u = -g*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f**2 + 650*f**3 - 32*f**2 + 1174*f**3 + 14*f**2.\nAnswer: 1824*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 6. Let s be b(6). What is the derivative of -1 + 4*k - 1 + 3 + s wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -29. Let n be (6 - b)*(-25)\/2. List the prime factors of (-4)\/(-2)*(27 + n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1534 + -1534. Solve a = -11*o + 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 3, -0.638, 0 in descending order.\nAnswer: 3, 0.12, 0, -0.638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y**5\/4 - 3069*y**4\/2 - 559167*y**3\/4 + 3609270*y**2 - 64500*y - 66564000 = 0 for y.\nAnswer: -215, -4, 24\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 192*l - l**4 + 3*l**3 - l**2 + 0 - 392*l + 11 + 203*l as j*l**2 + q + z*l + x*l**3 + g*l**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2. Let g(y) = 93044 - 93044 + y**2. Give g(r(u)).\nAnswer: 49*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -639 + 644. Suppose -n - 4*n + 4 = -4*d, n - g*d + 16 = 0. Let i(m) = -m**3 + 3. Let r be i(0). Solve -r*t = -n*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 51 + 105ebb?\nAnswer: 10601c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 - -2. Let d = -1.17 - 0.03. Let s = -2.2 - d. What is the nearest to 1 in m, s, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53275, 53286, 53301, 53320?\nAnswer: 53343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 223 * 5\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2 + 6175804*o - 4767569380802 = 0.\nAnswer: 1543951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15*l**3 + 11*l**2 - 17*l - 11. Suppose -76*w - 650 = -1106 - 1216. Let d(f) = 4*f**3 + 3*f**2 - 4*f - 3. Determine w*d(o) - 6*y(o).\nAnswer: -2*o**3 + 14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -16243.\nAnswer: -9\/16243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3228, -3221, -3214, -3207, -3200?\n\"Answer: 7*d - 3235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + p - 4. Let y(j) = -21*j**2 + 444*j + 537. Let h(c) = 18*v(c) + y(c). Suppose h(k) = 0. Calculate k.\nAnswer: -1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28609 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/1051, 2\/19, 1\/4, 5, 0.4?\nAnswer: 2\/1051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 18 - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -181163.5526 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -15*v + 3. Let w(q) = 4*q + 8. Let m(i) = -24*i - 45. Let o(n) = -6*m(n) - 34*w(n). Determine -6*j(p) - 11*o(p).\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 547 - -68. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -74419.\nAnswer: -74398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.64 + 1.53. Let a = c - -3. Round a to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l + 2*l. Let z(n) = -19*n**3 - 2*n**2 + 1. Let t be z(1). Let i = t + 16. Sort i, -2, l in descending order.\nAnswer: l, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*r - 1, 4*r - 3 = -3*w + 4. Let y = -855214766\/1423050779 + -14\/783187. Let l = y + 20\/79. Is r smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 11. Suppose -w = -9 - n. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41856081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 - (1 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/2 + 11*u**4 = 0.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 13*j + 1980. Is 36 a factor of x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22 - 15 - 2\/1. Let q = 9 - b. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -9*s**6\/40 + s**5 - 13*s**4\/8 + s**3 + 50*s**2. Determine o, given that f(o) = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 64, -2, -3 in descending order.\nAnswer: 64, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-11)*(-16962)\/15420?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 3*w**2 + 3*w**2)*(-w**2 + w**2 + 2*w**2) + 5 - w**4 - 5 - 3*w**4 + w**4 + 10*w**4 + (w**3 + 3*w**3 - 2*w**3)*(-2*w + w - w).\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-30) + (-34)\/(-30). Sort 3\/40, d, -1\/8 in decreasing order.\nAnswer: d, 3\/40, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16977 = -943*k + 58469 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137297505869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*m = -d - 36, -4*d + 28 = -4*m. Calculate the highest common divisor of 32 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-310)\/(-93))\/((-10)\/(-4))*-1*3. Sort c, -5, 3, -217 in descending order.\nAnswer: 3, c, -5, -217","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*m + 92*m = 10. Suppose -5*f - 394 = -m*o + 9*o, 5*o = -f + 1866. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/21585?\nAnswer: -2\/21585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 + 16*w**2 - 32*w - 144. Give v(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -37.19, 0.1, -1.3, -1.2, -1\/5?\nAnswer: -37.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255138399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -12*u - 24. Let f be k(-11). Let a = f - 53. Suppose -5*t = -a - 5. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - -7) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12716 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056897 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -45. Let y be 15\/9*1\/(2\/6). Suppose -5*s - x*u - 6 = 0, 0 = s + 3*s - y*u + 18. Let k(f) = -8*f - 1. Calculate k(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16552 - 8618. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29593 and 2.\nAnswer: -59186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 96.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2264 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -556 or -554?\nAnswer: -556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5635, -5650, -5663, -5674, -5683, -5690, -5695?\n\"Answer: u**2 - 18*u - 5618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/13)*u\/u**3)\/(u**7*u*(u\/(u*u**(-7)*u*u*u))\/u))\/(u**(7\/5)*(u**(-1\/9)*u)\/u)**(-45) assuming u is positive.\nAnswer: u**(600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43213 is divided by 4385.\nAnswer: 3748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.601077 + 0.146333. What is f rounded to three decimal places?\nAnswer: 0.747","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, b: 2, n: 3}. Give prob of sequence nubu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 + 93. Let a = 87.812 + q. Let i = a + 0.188129. Round i to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33474, 66949, 100424, 133899, 167374, 200849?\nAnswer: 234324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16287 and 3111.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -84.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9570\/(-5510))\/((-9)\/57).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -3 (b) 1 (c) -1 (d) 31 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/900 - j**5\/50 + j**4\/12 + 13*j**3\/6 - 4*j**2. Let s(g) be the first derivative of t(g). Factor s(q).\nAnswer: 2*(q - 5)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 = -3*p, -2*p + 2*d = 2*p - 8. Suppose -6*w = -w - 10, -14 = -5*s + p*w. Let u = 3 - 3. What is the third biggest value in u, 1\/5, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 9 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 1699068.\nAnswer: 1699068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 4*f**3 - 2*f + f + (1 - 1 + 2*f)*(-4*f**2 + 5*f**2 - 2*f**2).\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48, -52, -20, 66, 224, 472?\n\"Answer: 3*b**3 - 25*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315251.\nAnswer: 29, 114319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8904*o - 10177?\nAnswer: 8904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3771700, 3771746, 3771792, 3771838, 3771884, 3771930?\n\"Answer: 46*v + 3771654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Suppose -4*m = -12, 0*m = i*l + 4*m - 244. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*s + 55*s - 1572744 = 55*s. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*x = -4*x, 4*y + 3*x - 11 = 0. Suppose -42 = -5*p + 33. Suppose 3*d - 12 = -2*i, 2*i + p = 4*d - 1. Sort -4, i, y in descending order.\nAnswer: y, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*s - 58 + 9, t + s = 37. Suppose -4*w = -0*w + t. Let r = w - -5. Let z(m) = -m**2 - 4*m + 5. Determine z(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17673 (base 8) to base 6\nAnswer: 101335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15a03 + 190?\nAnswer: -15873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 14*j**3\/3 + 5*j**2\/2 - 7*j + 3. Does 52 divide c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-18) + 5\/(-6). Let p(l) = 316*l**3 + 4*l**2 + 13*l + 4. Let a(m) = -79*m**3 - m**2 - 3*m - 1. Let d(t) = 9*a(t) + 2*p(t). Is d(x) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c. Suppose s - p = 3, 2 + 7 = 3*s - 2*p. Let h be s\/(1\/((-1 - 3) + 3)). What is n(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -816009526*d**5 + 240850902*d**2 wrt d?\nAnswer: -48960571560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**3\/18 + 259*y**2\/2 + 201243*y\/2 + 4299. Factor d(j).\nAnswer: (j + 777)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**6\/120 - r**5\/30 - r**4\/8 - r**3\/2 + r**2\/2 - 2. Let f(h) be the second derivative of u(h). Calculate f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 3\/407, -1 in descending order.\nAnswer: 3\/407, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973 = -4*h - h + 1190*n - 5698, 51 = h + 4*h + 4*n for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + w)*(-6*w + 10*w + 8*w) + (-3*w - w + 2*w)*(w - 3*w - w + (-3*w + 3*w + w)*(0 + 1 + 1) + 4*w - 5*w + 0*w) as z*w**2 + f*w + g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*i - 3. Is 18 a factor of 24 - (i - (0 + -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 19*d + 50. Let j(r) = 12*r + 25. Calculate -7*j(z) + 3*m(z).\nAnswer: -27*z - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p - 38*p + 2355 + 2355 + 8*p - 4710.\nAnswer: -55*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, y: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.5886 rounded to 1 decimal place?\nAnswer: 63.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4423734823 - -369.\nAnswer: 4423735192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -131 - -148 - (27 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 7. Let p be 2\/(-9) - (-1541)\/m. Let r = 250 - p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 247 + 235. Let f be (0 + (0 - -23))\/1. Suppose -4*m + 7 = f. Sort w, 4, m in decreasing order.\nAnswer: 4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 19 - 17 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4 + 94*c**3 - 3033*c**2 + 40520*c - 189200 = 0.\nAnswer: 11, 20, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7592588533?\nAnswer: 7592588533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10*w = -9*w + 33, 3*h - 3*w = 60. Which is the second smallest value? (a) 2\/9 (b) 3 (c) -0.3 (d) -1\/2 (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-7))\/m**(2\/3)*(m**(3\/2))**19 assuming m is positive.\nAnswer: m**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*y + 5*y**2 + 226*y + 260*y + 2*y**3 - 3*y**2 - 4*y**3 to w*y**2 + l*y + a*y**3 + f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -23 - (-2967)\/86 - (-38)\/(-4). Factor -48\/7*k**w + 6*k + 6\/7*k**3 + 0.\nAnswer: 6*k*(k - 7)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-216)\/16))\/(-2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 2, 4 in decreasing order.\nAnswer: 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 884, 883, 882, 881, 880, 879?\n\"Answer: -i + 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w. Let b(a) = 8*a**2 + 4*a - 12. Let l(t) = -7*t**2 - 5*t + 15. Let h(p) = 5*b(p) + 4*l(p). Calculate h(n(i)).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 767.\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 9. Let o(s) = s**3 + 4*s**2 + 3*s + 4. Let w be o(t). Solve 4*p = -3*u - p - 12, -2*p = w*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -79*p**4\/4 + 5*p**3\/6 - 23*p**2\/2 - 9*p - 4. Find the second derivative of b(n) wrt n.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 525.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -9 - (5 + -19 + 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 - -0.48. Let w = 8 + -6. What is the third biggest value in m, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1\/(-3)) - -794. Suppose -12*m - 367 = v. Let q = -60 - m. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, m: 2, n: 11}. Give prob of picking 1 n and 1 h.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 109 = l, 0*b - 145 = 5*b - 3*l. Let n = 80 + -94. Let i = n - b. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 78 = -3*r - 4*q, 0 = r - 2*q - 18. Let k be (-2 + r\/9)\/(8\/24). Suppose -15*l**5 - 13*l**4 - 8*l**2 + 19*l**4 + k*l**2 + 15*l**3 = 0. Calculate l.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:45 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-12)\/(-4))\/42)\/((-3)\/24). Which is the fourth smallest value? (a) -1.3 (b) -2\/15 (c) g (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(2187) - sqrt(2187)*-3) + -5)*-4 + -3*sqrt(2187)*-1*-2))**2.\nAnswer: -95040*sqrt(3) + 4235632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17136\/(-26180)*20\/(-12) - 12\/(-22).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -63. Let z = 68 - 338\/5. What is the biggest value in v, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3579213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -1482, -3151, -5488, -8493, -12166?\nAnswer: -16507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecccccccccccccggc. Give prob of sequence cec.\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.09452 + -2.146. What is x rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 - 7*o**2 + 4*o + 6. Let s(p) = -13*p**3 + 27*p**2 - 15*p - 25. Let q(t) = -9*j(t) - 2*s(t). Suppose -3 + 24 = 3*b. Does 26 divide q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h - 2*y + 15764, 0 = -2*h + y + 7886. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 11 + 7)*(0*i + 3*i - 2*i).\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3439783747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255114749 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(2 + -5) + (1 - 1). Suppose 2*u - 14 = -4*q + u, 2*u = 4*q - 8. Solve -c*r - 2 = q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + f = 60, -4*o - 48 = f + 4*f. Let g be (-3)\/(1 - (-21)\/o). Suppose -3*s + 66 = 2*d, -4*d + 8*s - g*s = -152. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 289795 and 7260?\nAnswer: 3477540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 - 21 = 0. Suppose -k = -4*t - 1. Suppose -p + 86 = 3*y, -4*p = -t*y + 21 + 40. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -221 - -221.116. Let t = 0.084 + y. What is the closest to 2\/3 in -2, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.075 - -0.025. Which is bigger: s or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1964521?\nAnswer: -9822605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (139\/(-5) + (-1)\/5)\/(8\/4684). What is g rounded to the nearest 100?\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 0 + 1 - 2)*(2*k**2 - 14*k**2 + 31*k**2) - 3*k**3 - 3*k**3 + 5*k**3.\nAnswer: -77*k**3 - 19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let p(t) = -757443*t. Determine p(f(q)).\nAnswer: -757443*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 v when three letters picked without replacement from {q: 7, v: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 - 18*w + 994. What is q(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-6)*54\/45. Solve 5*x - z + 23 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/73027757 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 33*h**2 + 9*h - 18. Let x be m(3). Suppose -s + x = 104. What is the least common multiple of 12 and s?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 1843 = -2*s - 1868, 0 = -3*s + b - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 2. Suppose 0*o = o + 3. Let a be t(o). Suppose 2*f = a*f - 38. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9065509?\nAnswer: 83, 239, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73.93 + 81.93. Which is the second biggest value? (a) -1 (b) w (c) 0.5 (d) 2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6288 + -2?\nAnswer: -6301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1066 - -20?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 109321*f - 12025315. Calculate g(110).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 14 + 18 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*n - 16573, -4*b - 3*n = -b - 9951. List the prime factors of b.\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129512590*r**3 + 331*r**2 - 11181*r?\nAnswer: 777075540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -595, -5361, -13319, -24481, -38859?\n\"Answer: -2*q**3 - 1584*q**2 + 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -1\/2 (c) 2 (d) -4 (e) 33\/17 (f) -141\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -2\/15, -1, 1\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2. Let n(i) = -7*i**3 - 2*i**2 + 2*i + 3. Let u = -26 - -25. Let q be n(u). Let y(o) = 4 + q - 2*o**2 - 10. What is l(y(t))?\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*b + 24 = c, c - 5*b = 2. What is the tens digit of ((-126)\/c)\/(3\/32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2. Let o(n) = 1799*n**2. Give o(g(x)).\nAnswer: 1799*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1.65, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 446639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54\/251 + 143\/502. Which is smaller: c or 2\/1443?\nAnswer: 2\/1443","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-240))\/((-1)\/(-2))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -7091.\nAnswer: 2\/7091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8839628 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-2)\/(-96)*-8). Solve t*a - 79 = -73 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 2*a, 230*y - 7*a - 4 = 231*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25700 and 711300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*l*t**2 - 78*b*l - 229*l*t**2 wrt b?\nAnswer: l*t**2 - 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297086041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7479393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - -1*sqrt(32)) + 2 + (6*sqrt(88)\/sqrt(4))\/sqrt(11).\nAnswer: 2 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-5) - 1)\/(4\/20). Suppose 0 = -11*x + 4*x + 70. Suppose y + v = 0, 2*y + 5*v = 7*y + x. Sort 1, g, y, -5.\nAnswer: -5, g, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 5*v - 3*v)*(-2*v**3 + 0*v**3 + 4*v**3) + 111*v - 29*v - 47*v**4 - 96*v to the form m*v**2 + i + b*v**4 + k*v**3 + g*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/23)*k\/(k*k*k**(-6\/19))*k*(k**(-3\/8)*k)\/(k\/(k\/k**24)*k))**(3\/22) assuming k is positive.\nAnswer: k**(-255069\/76912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1779 + -3?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3241401 rounded to two decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.9 - 14.122. Let z = v + 0.24. What is z rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29411 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 8 - -11) + (150 - 173).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 1. Let b(n) = 174*n + 171*n + 168*n - 511*n + 1. Calculate b(l) - o(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 13*v - 18. Find the common denominator of -139\/6 and (-10)\/v*24\/32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12967.\nAnswer: 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 591, 611, 649, 711, 803?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**6\/60 + r**5\/30 + 7*r**4\/12 + r**3\/3 - 90*r**2. What is the second derivative of l(k) wrt k?\nAnswer: -12*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 76?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 1977*j**2 + 35265*j + 54. Let t be w(-18). Find q, given that -8\/13*q - 6\/13*q**4 + t - 2*q**3 - 32\/13*q**2 = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 10 + -1 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 1570*o.\nAnswer: 5*o*(o + 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000372530673 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (12 - (10 - 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2 + 2, -4*q = -b + 63. Let s be (-3)\/(-2*(-6)\/q). Suppose -s*j - 22 = -5*j + 2*m, 2*m = 0. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 23 + 76 + -91\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 + 0.319966. What is u rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-20))\/((106\/(-636))\/(100\/18))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 513*b**2 + 1925*b + 201450. Determine a(-510).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0*n)\/(n*n*n\/n**(1\/5)*n))**(2\/11) assuming n is positive.\nAnswer: n**(-18\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21025.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/70)\/(6\/30). Which is the smallest value? (a) -2\/9 (b) f (c) 5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 26. Suppose f*w - 6 = -w. Does 2 divide (-21 + w)*(-2 - (-2 - -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41561930 to the nearest one hundred thousand.\nAnswer: 41600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwmmmwwwwww. Give prob of sequence wmww.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k + 0*k**2 + 0*k**3 + 1 - 121\/12*k**4. Let x(g) = g**2. Determine w(x(l)).\nAnswer: -121*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 0*i**4 + 3\/20*i**5 + 0 - 10*i + 0*i**2 + 17\/6*i**3. What is the second derivative of h(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let q(z) = 2 + 3*z - t*z - 4. Let l be q(6). What is the highest common divisor of 12 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 2*d)*(-16*d + 16*d + 11*d**3 + (2 - 1 + 1)*(d**3 + 3*d - 3*d) + 5*d**2 - 5*d**2 + 2*d**3 + 0*d**3 + 7*d**3 - d**3).\nAnswer: -21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 225 = -2*v + 173, -3*v = d + 9 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, z: 2, b: 7}. What is prob of picking 3 b?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**3*y**2 + 7442*p**3 + 103*p**2*y - 3*p*y**2 wrt y.\nAnswer: 2*p**3*y + 103*p**2 - 6*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118 + -117.99832. What is z rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-15) + (-1559250018)\/135. What is i rounded to the nearest one hundred thousand?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0023 in 2, 0.61, 2\/31, 0.1?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 4*n**2 - 166*n + 230. Determine b(-16).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.034 - -30.966. Let w = i + -23. Let k = w - 7.99955. Round k to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 2.07698.\nAnswer: 1.67698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4bebd (base 15) to base 4.\nAnswer: -323110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 3*a - 3*a)*(2*a + 0*a - 3*a)*(5 + 1 - 5).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772525*m + 83 - 662 = -772621*m + 189 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -115*0.1\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gccg when four letters picked without replacement from {g: 5, c: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + 2*k**3 - 2*k**4 + 0*k**3)*(120 + 207 + 210)*(0 - 1 + 0) + (-2 + 0 + 1)*(-k + k + 2*k**4).\nAnswer: 1072*k**4 - 1074*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001742003 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(27\/(-46)) + 2\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44845315 or 44845314?\nAnswer: 44845315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3 (c) -0.4 (d) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1\/5, 0.06, 4, -1, -18776?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 24*p = -19*p - 136, 4*p - 163 = 5*n - 31 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299)*2 - sqrt(2299))) + (sqrt(304) - sqrt(304)*-1))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/21 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7*6 + 0)\/((-767)\/(-26845))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a + 2. Let m(s) = 343*s + 77. Suppose -8 = -n + 66. Suppose 4*x - z = z - 310, -3*z - n = x. Determine x*y(q) + 2*m(q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5 - 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + i - 83 = 69, 4*i + 94 = 2*z. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.79059+0.2\nAnswer: -7.59059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 e when three letters picked without replacement from ekfkekxkexkk?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4696, -5298, -5900, -6502?\n\"Answer: -602*f - 4094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1849*t**2 + 12*t + 13505.\nAnswer: -3698*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -479 and -694.031298.\nAnswer: -1173.031298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12483239?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*f + 113*f + 3*f**3 + 2 - 12 - f**4 - f**2 in the form i*f**2 + n*f + p*f**3 + m + j*f**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/75)*q*q**5*q*(q*q*q**(-14)*q*q)**(10\/7) assuming q is positive.\nAnswer: q**(-3832\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 576.223 and 5.\nAnswer: 581.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-2*(-21)\/(-6). Let k = g + 8. Suppose z - 25 = -5*n + 15, z = 5*n - 40. Calculate the highest common divisor of k and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-2)*100\/(-750)*-3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(3\/30). Let u = -29 + 30. Solve 2*z + u = n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -6*q + 5*q + 8, 2*f = -5*q. Calculate the common denominator of ((-671)\/(-55))\/((-8)\/f) and 121\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7190865 divided by 2189?\nAnswer: -3285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -24.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11280 is divided by 3740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1683905 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -29*a + 8592. Suppose -4*z + 23*r = 18*r - 2873, 0 = z + r - a. What are the prime factors of z?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*k - 75, -27*k - 11*l - 18*l + 65 = -22*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832274533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1560108286 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6454?\nAnswer: 2, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -0.1, -11\/29, 0.2 in decreasing order.\nAnswer: 82, 0.2, -0.1, -11\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 - 16716 - 12937 = -730*q - 1008 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11) + 310\/13299*-12.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51, 89, 111, 117, 107?\n\"Answer: -8*p**2 + 62*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*y - 110, 0 = -3*y + 2*y + 3*o + 20. Let p = y - 3. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21312032220 - -1?\nAnswer: 21312032221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723*n**2 + 3480*n - 3480*n.\nAnswer: 723*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1024.7 - 1097. Let j = -71.3 - u. Which is the third smallest value? (a) j (b) -0.5 (c) -38 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1151034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 2*v + 3*h + 10, -3*v - h - 10 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 1354*u**2 + 1377*u**2 + 1348*u**2 - 5339*u**2 + 1294*u**2.\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 71 = 1 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/1*6020\/(-1290)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 44. Let k(j) = -14 + 9*j + j**2 + 7*j - 4*j. Let y be k(-13). Which is bigger: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3. Let n(x) = -x**3 + 5*x**2 - 6*x + 3. Let v be n(3). Let t(z) be the first derivative of -z**2\/2 + 4*z - 1. What is v*t(d) + 4*a(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 6*q**2 + 2*q - 7. Suppose 3 = -f, 0 = 5*g - f - f - 36. Let a be y(g). Let v(l) = -a + 4*l + 1 - l**2 + 1. What is v(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (7 - 3) + 3 - (98 - 123) - -11.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 42 = -5*j. Solve -k - 4 = -h, j*h + 0 = -k - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*k - 189 = 0, -5*d + 12 = 2*k - 287. Let y be (-124)\/682 + (d\/33 - 1). Which is smaller: y or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = 0. Suppose 3*u + 2*o + 16 = r, 3*u = -0*o + 2*o + 4. Let h be (-14)\/4 + u\/4. Sort h, -3, 2 in ascending order.\nAnswer: h, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -356, -362, -360, -350?\n\"Answer: 4*d**2 - 18*d - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 2*i**2 - i + 3. Let m be k(-3). Let w = -63 - -62. What is the nearest to 0 in w, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ce365 + 1?\nAnswer: ce366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735441?\nAnswer: 3, 7, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + 25*l**2 + 8*l - 8. Let d be b(-12). What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 249*t - 510.\nAnswer: 3*(t - 2)*(t + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*s + 222*s - 427*s + 107*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 14 = 2*i, 10*t - i + 15 = 13*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 2*p + 1, -2*p + 5*p - 7 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -35, -3, -67 in descending order.\nAnswer: -3, -5, -35, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = 12*i - 16*i + 14826. Calculate the highest common factor of 25063 and i.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -22*g - 7080. Let w = 937 + g. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) 2\/7 (b) 1.7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 17*g**2\/2 - 19. Let b(p) = 2*p. Give b(i(m)).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6705 = -3*f + 7*h - 8*h, -2*h = 4*f - 8944. Suppose 2*i = -2*i + 28. Suppose 0*w - f = -i*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664, -1323, -1982, -2641, -3300, -3959?\nAnswer: -4618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.111 - 0.111. Let f = -122 + 71. Let v = f + z. What is the biggest value in v, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/3)\/((-33)\/(-99)). Let s(u) = 111*u + 12. Let x(z) = 14873*z + 1605. Let v(n) = p*x(n) - 535*s(n). Let f(r) = r. Give f(v(q)).\nAnswer: 107*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -148\/5. Let g = 1.75 + 0.55. Let q = 3.3 - g. Which is smaller: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - y - 1. Let r = -9 + 10. Let p(b) = -5*b**2 + 7*b + 4. Let m(h) = r*p(h) + 2*z(h). Factor m(w).\nAnswer: -(w - 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**2 - 2074*o**3 + 2060*o**3 + 61 - 61.\nAnswer: -14*o**3 - 21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmzzzzzzzzzzmm. Give prob of picking 2 m and 1 z.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748215*n**2 + n**3 - 748215*n**2 - 5*n**3 - 4*n**3 + 3*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/1957 and (-38779)\/2394 + (-22)\/(-693)?\nAnswer: 11742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*v**5 + 245828*v**3 - 29008863*v + 7 wrt v.\nAnswer: -260*v**3 + 1474968*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.7 - 56.14.\nAnswer: -64.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1875\/29 - 396041\/6090. What is the common denominator of d and 77\/120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 147 + 88 + 6*p - 5*p + 55*p.\nAnswer: 56*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 41. Let n be 1 + (-13 - 0 - -1). Let j(h) = -13*h**2 - 13*h + 9. Let o(x) = 7*x**2 + 7*x - 5. What is f*j(m) + n*o(m)?\nAnswer: m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -16, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 6*k**2 + k**2 + 315*k - 6*k**2.\nAnswer: -4*k**2 + 315*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 6:31 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 69*k**2. Let l(q) = -q**2. What is g(l(w))?\nAnswer: 69*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1007\/25127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 536 + -536. Let v be (-33)\/11 - (1 - 76\/18). What is the third biggest value in v, 0.2, 3, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**9*a)\/(a**0\/a))**48*((((a\/(a**(3\/5)\/a))\/a*a*a)\/a)**(-4\/7))**50 assuming a is positive.\nAnswer: a**488","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -327 (b) 4088\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012220021022102 + 11?\nAnswer: 10012220021022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**2 - 4*h**2 - 4*h**2)*(-2*h**2 + 0 + 0) + h**4 + 2*h**4 + h**4.\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0.4 (c) 4 (d) -4 (e) 34 (f) 1\/2 (g) -0.029\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(-4*b**2 + 462*b - 462*b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 22*r**2 - 32*r + 212. Give k(7).\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2709448775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 6. Suppose 2*x + x - 3*s = 0, 0 = x + 4*s - i. What is the remainder when 3 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-16)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4992 and 3598752768.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/(-180))\/(2\/12*9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-267)\/6 - 1\/(-2). What is the common denominator of 700\/800*(0 - (-39)\/14) and (-90)\/q + (-2 - -2)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 240, 13, 5, 446 in descending order.\nAnswer: 446, 240, 32, 13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 18*l**3 + 34*l**2 + 378*l - 392.\nAnswer: -2*(l - 4)*(l - 1)*(l + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*o - 251*o = 0. Let z(l) be the first derivative of o*l**2 - 7 + 5\/3*l**3 - 5*l. Differentiate z(j) wrt j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -29528\nAnswer: -147640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(176) + ((sqrt(11) - sqrt(33)\/sqrt(3))*4 - sqrt(11)))*1.\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 5:51 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 5. Let z be m(4). Let j = 23\/2 - z. Determine c so that c - 1\/2*c**2 - j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89005354 + 0.3?\nAnswer: 89005354.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-1 + 4 - 4)*(r**2 - 3*r**2 + r**2) - 1 + 1 - 2*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n**2 + 2*n - n**2 - 1. Let p be f(1). Suppose 5*a - 8*l + 3*l - 1055 = p, 2*a - 3*l = 424. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1543 + 2914 = 101*m - 189 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q**3 + 2*q - 1. Let j be z(1). Suppose 251*g - 829*g + 2747 = -1877. Solve -3 = j*i - g*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771444.1um to centimeters.\nAnswer: 77.14441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1758\nAnswer: -351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*c - 555*c + 4487 = -5270 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.88 + -0.12. Let o = -4 - t. What is the second smallest value in o, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 670, 1323, 2232, 3391, 4794?\nAnswer: 6435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:34 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1623943326 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 15*o - 14*o in the form h + f*o and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 4*n + 4*n**3 + 36*n**2 + 0 + 1\/6*n**4. Factor m(c).\nAnswer: 2*(c + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10016 - -10015.6. Let k = 253 + -2789\/11. What is the closest to -0.2 in k, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -1 + 0*y + 0*y**2 - 5\/3*y**3 + 0*y**4 + 0*y**5 - 2\/3*y**6. What is the third derivative of k(g) wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2380 and 8297996.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.026\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110110111011000000 (base 2) in base 14?\nAnswer: 541464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1070 and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 907, 3607, 8105, 14401, 22495?\nAnswer: 32387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 21. Let l(c) = 4*c - 32. Suppose 5*v = -y, y + 1 = -4*v - 0. Let j(t) = y*l(t) + 8*x(t). What is the tens digit of j(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 6*f**2 - 4*f - 5. Let i be c(5). Suppose 4*l - 11 = k, i*l - 3 = -l. Are k and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 13*r + 16. Let h(c) = 3*c**2 - 2. Let x(d) = -10*d**2 + 7. Determine r*x(z) + 7*h(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 - 26*z**2\/9 + 32*z\/9 + 128\/3.\nAnswer: 2*(z - 8)**2*(z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((0 - -1)\/(273 - 16))?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1310 - -1309.9999171. Round w to six decimal places.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -17*y**4\/8 + 5*y**3\/3 - 577*y**2. Determine t(3).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/(-2))\/(-9))\/(59\/59)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.3 plus 10787?\nAnswer: 10894.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22149, -43891, -65259, -86253, -106873?\n\"Answer: 187*n**2 - 22303*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 9) to base 13\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.731 + 0.131. Let v = u - -268.6. Let g = v + -226.63. What is g rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-63))\/((-8)\/28)*(-480)\/75?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 840\/(-224) + (2 - 0)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33663208, 33663207, 33663206?\nAnswer: 33663205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**3 - 26195*x**2 + 400070*x + 31629080 = 0 for x.\nAnswer: -5254, -28, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) -5 (c) 4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65681099.6 rounded to the nearest one million?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245 = 110*l + 91*l + 48*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-4)\/432*21)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13 + 240\/(-975).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.569 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {r: 5, g: 2, l: 6}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.128 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**4 - 425*v**3 - 4960*v**2 - 20560*v - 28800 = 0.\nAnswer: -72, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1276 - 485. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, u: 4}. What is prob of picking 4 u?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/27)*c**(-7\/2))\/((c*c\/(c*c**(-9)*c)*c)\/(c\/c**(-8\/5))) assuming c is positive.\nAnswer: c**(-2963\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -16 - (-71 + (15 - -1 - -3))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/2? (a) 18 (b) 2\/3 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 + 2*n - 3. Let t be a(3). Suppose 20 = t*z - z. Suppose z = 3*k + 2*k. Is 2 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383592 less than -1398234?\nAnswer: -1781826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10408309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 4*q**2 - 6*q + 5. Suppose -p + 9 = -4*h, -p - 18 = h + 4*p. Let w be (-4)\/1*h\/30*-5. Let m be (3 + -5)\/(w\/4). Calculate l(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 2. Let s(r) = 2. Let i(x) = 3*s(x) - 2*u(x). What is the smallest common multiple of i(-8) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 16 + -250 + 243\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {f: 4, b: 1, s: 4, e: 9, n: 1, h: 1}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*((-3)\/4 + -1). Let t(s) = s**2 + 4*s + 2. Let l be t(-6). Let h = k - l. Solve -3*n - 8 = h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(3\/8)*d))**(5\/4) assuming d is positive.\nAnswer: d**(-15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/60 + h**4\/24 + 5*h**3\/3 - 4*h**2. Suppose 27*l = 25*l - 47*l. Calculate c(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112594127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 p when four letters picked without replacement from ccppcscs?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 4*i**2 - 9*i**2)*(-6 + 7 + 36*i - 1).\nAnswer: -396*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1872) + 3)*3 - (sqrt(1872) + 3 + 3 - sqrt(1872)))**2.\nAnswer: 432*sqrt(13) + 33714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 + m**2 + 6*m + 5*m**3 + 3913 + 8*m**3 + 6*m**3 - 3908 as b + a*m + u*m**3 + f*m**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(108))**2 + ((sqrt(363) - 2*sqrt(363)) + 2)**2*5.\nAnswer: -220*sqrt(3) + 2266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-147)\/42*(-44)\/14 + -3. Suppose l + f*l = 18. Find t such that -5*t**l - 4\/3 + 14\/3*t + 3\/2*t**3 = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 61, 5, -32, 1 in descending order.\nAnswer: 61, 5, 2, 1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 50. Let w be c(15). What is the nearest to 1 in -2\/9, -2\/5, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -259, -232, -191, -130, -43?\n\"Answer: h**3 + h**2 + 17*h - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 60 = 14*k. Suppose -2*q + 4*z + 36 = -0*q, z = -q + k. Solve 0 = -2*n - 2*n - q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 - 0.3?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1481*n - n**2 - 3 - 1478*n + 0. Let c be ((-16)\/12)\/(2\/(-3)). Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (373190\/(-4456))\/((-90)\/(-72)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7769567?\nAnswer: 13, 597659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = -j + 15, 6 = 2*j - 2*k. Calculate the smallest common multiple of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(80\/30)\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 8*o**2 + 9*o - 6. Let j be a(8). Suppose 0 = s - 3*x + 339 - j, 3*x = 3. Find the common denominator of -123\/20 and s\/(-24) - (-4)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2, -4*y - y + r = -1369. What are the prime factors of (y\/(-2))\/(6\/((-42)\/7))?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 2?\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*h - h - 9, 4*i = 4*h - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356021 - 712*h + 356021 - 274*h.\nAnswer: -986*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/9))**19\/(x\/(x**(-2\/11)*x*x))**(-1\/11))**(-2\/3) assuming x is positive.\nAnswer: x**(-9034\/3267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 8:02 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 3:47 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 61*s - 61*s + 3. Let v(d) = -14*d - 10. Determine -8*m(y) - 3*v(y).\nAnswer: 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + 73 - 31)\/1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87944 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 38*d**3 - 3*d**2 + 6*d - 2. Let f be l(1). Suppose -f*i + 28*i + 3047 = 0. What are the prime factors of i?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m**2 + 27*m + 799. Does 89 divide v(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 35 = -8*s. Let c be s\/(98\/(-24))*7. Let m = c + -2. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23302.76 seconds in microseconds?\nAnswer: 23302760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 1 q when three letters picked without replacement from {b: 2, e: 2, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18690 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/3 - 554*f**3\/3 - 13844*f**2 - 146760*f - 421200 = 0. What is f?\nAnswer: -135, -130, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 44 - (0 - (7 + 0 + 0))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2915*u**5 + 4*u**2 - 6*u - 1173. Let t(k) = k**5 + k**2 - 2*k + 2. Let p(o) = h(o) - 3*t(o). What is the third derivative of p(l) wrt l?\nAnswer: 174720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3129, 2\/7, -1257?\nAnswer: -3129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1 + (-153)\/156). Let l be 90 - (2 + 0 - 0). Let v = l + k. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 4*h - 3. Suppose -58*r - 4 = -62*r, -129 = -2*w - 3*r. What is the remainder when w is divided by o(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -42907.\nAnswer: -42912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/2001 in -0.2, 0.4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*t - 16713 + 12740 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -227*r**2 - 670*r + 29. Give y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43, -0.1, 57, 5\/3, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 1, b: 1, e: 5, j: 3}. What is prob of sequence edb?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556344*l**2 + 6*l**3 - 1112672*l**2 + 556328*l**2.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide -2 + 4 - 2 - -30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 4*q. Let b be -2 + 0 + 1 - 1. Let a = -11 + 29. Let c(g) = g**2 - 18 + a - g. Determine b*c(d) + j(d).\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91863.\nAnswer: 3, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = 2*o + 22, 4*h - 3*o = -7. Is -8 + 1180\/35 + h\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:17 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/12 + -1)*-6. Let s(w) = 6*w - 42. Let a be s(7). Suppose k*p + 25 = a, -2*u = -4*p + 2*p - 208. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.10175 in -0.1, -93, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u**3 - 8*u**2 + 9*u - 8. Let t(b) = -7*b**3 + 163965*b**2 - 163968*b**2 - 3 + 2*b**3 + 3*b. Determine 3*o(w) - 8*t(w).\nAnswer: -2*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8553116 is divided by 309.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 63*n + 501. What is m(10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078930171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283718.\nAnswer: 2, 127, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173380 a multiple of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 + (-3310)\/(-5) - -10 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2483 + -1.2483. Sort -5\/3, 18, v in descending order.\nAnswer: 18, v, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 23*r**5 + 6925*r**4 - 20328*r**3 + 12164*r**2 + 1216*r = 0.\nAnswer: -304, -2\/23, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -19 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1631\/35 + (-3)\/5. Suppose w*k + 63 = 47*k. What is the greatest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.778682 rounded to 2 dps?\nAnswer: 12.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 11941?\nAnswer: 11938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504107 is divided by 126021.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 265*h**4\/24 + 71*h**3\/6 + 82*h**2. Differentiate g(l) with respect to l.\nAnswer: 265","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15779855*k**2*m**3 - 3*k**2 - 1242*k*m**2 + 3*k*m + 9*k + 6*m**2 wrt m?\nAnswer: -94679130*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhijstiy. Give prob of picking 1 y and 2 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.707 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 79\/3 - 2\/(-3). Let h = d - 36. Let y be (h\/(-12))\/((-1)\/(-32)). What is the greatest common factor of y and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1520 divided by -20.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 25*h**3 - 2*h**2 - 2 + 2. Let l(v) = 13*v**3 - v**2. Let m(d) = 7*l(d) - 4*u(d). What is the third derivative of m(i) wrt i?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*m + 337*m - 643*m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285677 is divided by 1162?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1313417*h**3 - 3578470*h?\nAnswer: 7880502*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5 + 144*q**4 + 884*q**3 + 2168*q**2 + 2352*q + 928.\nAnswer: 4*(q + 1)*(q + 2)**3*(q + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.1 - -21. Which is the closest to 2\/9? (a) -1 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-105)\/5))\/((80\/(-216))\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*m + 22, 3*d + m = 5*m - 10. Suppose -3*x - 7*r = -4*r - 15, -4*r = -16. Calculate the remainder when x is divided by 1\/d*(1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n - 30. Let g be 7 - n\/(-2 + -1). Let r(p) = -p**2 + 5*p + 7. Give r(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 1. Let v be k(2). Let w(a) = -a + 7. Let c be w(v). Let j be (-76 - c)\/(1\/5). What is j rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 87 = 142*z, -24*y + 3*z = -20*y + 8*z + 39 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:35 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -47.3 and 0.04.\nAnswer: -47.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 4:45 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800994 - 2*o**2 + 3*o**2 - 800994 + 102*o.\nAnswer: o**2 + 102*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3525 - 3523. Factor -1\/6*g + 1\/6*g**3 - 3\/2 + 3\/2*g**i.\nAnswer: (g - 1)*(g + 1)*(g + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 69364*g**3 - 300606208*g**2 + 902443008*g.\nAnswer: -4*g*(g - 3)*(g + 8672)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*i + 100 = -222 - 227 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5360 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 7*u**2 - 7773*u - 23280. Determine a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 35. Let b be s(-16). Suppose 57 = b*u - 3*v, 0 = 5*u - 4*v + v - 97. Solve 5*t - t - u = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -92894.58\nAnswer: -92890.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18723046 at most as big as 18723045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -440 + 1463166?\nAnswer: 1462426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-68 - 68 + 17)*(-2 - 3 - 2) + 3 - 1 + 0)*(-t + 2*t - 2*t)*(5 + 2 - 3).\nAnswer: -3340*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*m - 6*m - 718683 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 10*z**2 - 8*z. Let p be a(9). Let r(n) = -n + 10. Let h be r(p). Let u(g) = h - 2 - 5*g**2 + g**2. Let m(s) = -s**2 - 1. What is m(d) - u(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*o - 435 + 438, -5*m + 55 = 4*o for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41676405 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000209239 to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from aaghukmh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 1 - (-246 - (-2 + -1)). Is (j\/(-15) - 3)\/(2\/(-18)) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + (-68)\/24)*-6. Suppose -5*i = -i + 2*s - 76, -u*s = -3*i + 44. Calculate the smallest common multiple of 54 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283 or 284?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6)*(-7)\/(-105)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 43*j + 158. Let y be w(-39). Suppose -4*c = 5*r - 0*c - 68, 0 = -4*r + 4*c + 40. Solve 5*q - 3 = -5*l + r, -8 = -y*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -289, -427, -529, -583?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8 + 9 - 5)*(-3 + 3 - x) - 5*x + 0*x + 4*x)*(2*x + 0*x - 3*x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.8 - -37. What is the third smallest value in -0.2, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 200.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2816, -3479, -4124, -4745, -5336, -5891, -6404?\n\"Answer: a**3 + 3*a**2 - 679*a - 2141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -35 - -17 - 3\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -4\/7, 5, 1, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m**(-1\/5))**(19\/6)*(m*m**(2\/3)*m*m**9)**47 assuming m is positive.\nAnswer: m**(8548\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-48)*(-826)\/295.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, -1\/2, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -877*g**6\/120 + 323*g**5\/60 - 41*g**2 - 3. Find the third derivative of m(w) wrt w.\nAnswer: -5262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (62 + -117 + 43)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -60 (b) 2\/2295 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*k. Let q(j) be the third derivative of 0*j + 2*j**2 + k + 1\/40*j**5 + 0*j**3 - 1\/24*j**4. Solve q(x) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261477330 rounded to the nearest one million?\nAnswer: 2261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:09 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 665*d - 3983. Let u = 29 + -11. What is the remainder when u is divided by j(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1673 + 1005717?\nAnswer: 1004024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-14))\/(-6)*(56\/(-21))\/8\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9530*l**2*r**2 + 2*l*r + l - 1789*r**2 wrt l.\nAnswer: -19060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 15*o**2 + o + 17. Let g be q(-15). Suppose 2*y - g*w = 3*w + 221, 605 = 5*y - 2*w. Suppose -128*x = -y*x - 2155. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**5\/4 - 4165*f**4\/2 - 116720*f**3 + 1066400*f**2 = 0.\nAnswer: -62, 0, 8, 1720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-390)\/(-182))\/(((-500)\/(-980))\/(-25))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 3*l + 3*l**2 - 2 + 5 - 2 + 3*l**2. Let o be (-3 - (-3 - -1))*5. Let p be u(o). Solve 0 = -5*t - 1 + p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 624 in -0.1, -0.4, 1, 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6102569 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 u(l) = 140191*l + 11. Calculate u(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let f(l) = 766454*l. Give f(o(b)).\nAnswer: 766454*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1838926 and 5432.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = 232*a - 293*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 3\/23 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184 by -9.\nAnswer: 184\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156 - -158) + (1 - 2) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -60324.6.\nAnswer: 301623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 0, -10 = -y - 3*t + 4. Let h be -4 - 1\/(y\/(-22)). Let i(b) = -2*b + 11. Let g be i(4). Solve n + h = g*r, 4*r + 4 - 10 = 3*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1864 and 2220956.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + 0 + sqrt(1539) + 1 + sqrt(1539) + -1)**2 + (6*((-2*sqrt(1539))**2 - sqrt(1539)) - (-5*(3 + sqrt(1539))**2 + sqrt(1539))).\nAnswer: 243*sqrt(19) + 50834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1041 + -0.104103465. What is r rounded to 7 decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 12) to base 6\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27822 - 44*f + 115*f - 27822 - 66*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 11:00 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -0.6, 5, 3, 8 in decreasing order.\nAnswer: 8, 5, 3, -0.6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -135283218.\nAnswer: 27056643.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 6*l**2 + l + 4. Let f be d(-6). Let u = 9 + f. Suppose -u*a + 20 = -3*a. Solve -z + a = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9553750*w**6 - 1545554*w**2 wrt w.\nAnswer: 1146450000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 1020*k**2 - 3083*k - 32540. What is n(-1017)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -226023, -6, 1 in increasing order.\nAnswer: -226023, -6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 1:46 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3 + 62144881*j + 338986874?\nAnswer: 3*j**2 + 62144881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/33 and (-146)\/(-42) + 5\/15*-9?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/41850 and -19\/15.\nAnswer: 41850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m + 12. Let b(d) = 11*d - 23. Calculate -3*b(u) - 7*w(u).\nAnswer: 2*u - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110011000100111001 (base 2) in base 13?\nAnswer: 350669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39\/4*a + 9 + 3\/4*a**2.\nAnswer: 3*(a - 12)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -742 + 447. Is -1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/2 + 3*w**2\/2 + 107*w - 4. Determine q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19835 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 870?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 8:59 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783.49 - -16.0257303.\nAnswer: 799.5157303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 18*i - 95. What is r(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/30 + 3\/10. Let w(b) be the third derivative of 0 + 1\/60*b**5 + i*b**3 + 0*b**4 - 2*b**2 + 0*b. Find the first derivative of w(a) wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m = 65*m + 117*m + 38*m + 13328 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75*r**2*x**2 + 3*r**2*x + 2*r**2 - 451*r + 2*x**2 wrt x.\nAnswer: 150*r**2*x + 3*r**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 1260 - 1241. What is the greatest common factor of 209 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 16 - 1\/24*p**4 + 2*p**2 + 0*p**3 + 0*p. Let k(z) be the second derivative of n(z). Let h(v) = 12*v. Determine h(k(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*s**2 - 11*s**2 - 16*s**2)*(-2*s**2 + 3*s**2 - 3*s**2) to the form m*s**4 + h*s**2 + c*s + v + n*s**3 and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 0*t - 4*t = -4, -2*t = -2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**8\/56 - 7*u**5\/20 - 23*u**2. What is the third derivative of w(z) wrt z?\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(1\/7)*f*f*f**(-8))**30\/((f**(1\/4)*f*f**(-2))\/(f*(f*f**(-1)\/f)\/f)**(-5)) assuming f is positive.\nAnswer: f**(-2239\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from svrsvrweezevrewrvvss.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 10. Let n be k(8). Calculate the smallest common multiple of 28 and (4\/4)\/((-1)\/n).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 35 = -c, 2*c - 4*s + 25 = 75 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r**2 + 5*r - 5. Let u be v(0). Which is the smallest value? (a) -2\/9 (b) -16 (c) u (d) -20\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let b(n) = 8*n. Let z(l) = b(l) + 10*m(l). Let r(t) = 25*t. What is r(z(c))?\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/(-4)) + 48. Suppose 0*s + s - l = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + 21 + -22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -23*h + 17*h. Let k be 1 + -2 - (h + 18). Let b = 16 + k. Solve 9 = -b*y, -3*s - 3*y - 11 = 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 12*t - 29. Calculate the common denominator of ((-165)\/(-9))\/((-96)\/t) and 37\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 76. Let y be 46780\/w - (-2)\/(-7). Let o = -11722\/7 - y. What is the common denominator of o and 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 1\/4*a**4 + a**3 + 3 - 2*a**2 + 5*a. What is the units digit of w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -221, 4 in increasing order.\nAnswer: -221, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20210002 (base 3) to base 11\nAnswer: -3794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2287044 + -2287043.3. Let k = -186.97 - -183. Let j = 0.03 - k. Which is the second biggest value? (a) j (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400978 to the power of 1\/2, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*z - 74. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 204178 and -0.061017?\nAnswer: 204178.061017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -195390426 divided by 462\nAnswer: -422923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d + 1. Let f(g) = 11*g. Let s be -3*(14 + 600\/(-45)). Give s*b(c) + 3*f(c).\nAnswer: 9*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*p + 10 = -11, -12 = -4*x - 2*p. Let q(h) = -h + 6. Calculate the least common multiple of q(x) and 1\/(-1) + (13 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - 34*g**3 + 2 - 6*g - 2.\nAnswer: -34*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -878, -882, -898, -932, -990, -1078, -1202, -1368?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - w + 0*w - 8)*(4707 - 2213 - 2361).\nAnswer: -133*w + 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 8*l**2 + 6*l - 4. Let s be t(-7). Suppose 3 = s*h, -3*n - 16 = n + 4*h. Let f(p) = -6*p**2 + p**2 - p**3 + 2 + 1 + p. What is f(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-198)\/1)\/3*(10 + 1). Let k be -3 + ((-11050)\/u)\/5. Let d = 28015\/1452 - k. Is 19 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/7*q + 0 + 6\/7*q**4 - 24\/7*q**2 + 4\/7*q**5 - 20\/7*q**3 = 0 for q.\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3*p + 12556*j**3 - 6384*p**2 wrt p?\nAnswer: -2*j**3 - 12768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 616 and 16401?\nAnswer: 131208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10981 - 141955606.\nAnswer: -141955606.10981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 3*o)*(2*o + 5*o - 5*o) - o**2 - 3*o**2 - 2*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, 52, 150, 294?\n\"Answer: 23*j**2 - 17*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1667531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62\/109 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4573 - 4570. Let v = -0.14 - -0.14. What is the nearest to v in j, 0.2, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/34 (b) 0.3 (c) 6 (d) -0.6 (e) 1\/33 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/7 and (114\/20)\/(2*(-8)\/(-20)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 1, o: 2, d: 1}. What is prob of sequence dv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 4. Let v(b) = 3*b**2 - 34*b + 199. What is the remainder when v(7) is divided by i(-11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = t - 3*t + 24, 2*g + 3*t + 21000 = 21029 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11314, -22653, -33988, -45319, -56646, -67969?\nAnswer: -79288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1)*6\/(-4)*3. Let c = i + 9. Let p = -2\/125 - -143\/1125. Is p > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*o + y, 5*o + 13 = 4*y. Suppose 0 = -0*t + 2*t. Which is bigger: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r + 146 = 5*y, -3*y - 84 = -r. Let t = 62 + -118. Let u = r + t. Solve -2*v - 5*c - 4 = -22, 3*c - u = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1) + (3 - -1). Suppose 0 = -r + u*w, r - w - 4*w + 1 = 0. Suppose r = 5*g - 3*g. Solve q + 4*f + 12 = -0*f, g*f + 12 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -824, -3 in ascending order.\nAnswer: -824, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + -26. Let f = 154 + -109. Let q = v + f. Which is the second biggest value? (a) 3 (b) 1\/8 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyjryjuyyyyr. Give prob of picking 1 u and 1 y.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348968 != 1348966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18410 divided by -3682\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 7, q: 4}. What is prob of picking 1 g and 2 r?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 10:03 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-84))\/((-180)\/126)*(-25)\/12.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -42*t**2 + 25623*t\/2 - 426189 = 0?\nAnswer: 38, 7477\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 36*l - 33 - 37*l + 32. Suppose -15 = 5*a + 5*d, -a + 4*d = d + 3. Determine t(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6689)\/(-60201)*(-450)\/(-8)\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 8*n - 5. Let x(a) = 5*a**2 - 16*a - 10. Let k(h) = 7*l(h) - 4*x(h). Calculate the least common multiple of 4 and k(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999816.\nAnswer: 2, 3, 41659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 2. Suppose -30 = g + 2*s + 5, 4*s = g + 11. Let n(i) = -13*i - 135. Let o be n(g). Calculate the greatest common factor of c and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13891 by 29.\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 0 + 6 + -3)\/((-9)\/27). Let g(y) = y**3 - y**2 + y - 1. Let t be g(2). Solve 0 = s + l*v + 6, -3 = -t*s + 3*v + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a - 0. Let k(u) = -a*u + 0*u - u. Suppose -3*m + 4 = m. Give k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001072635 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 14. Suppose b = -0*b + 4*f + 25, -r*f = 20. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 - 4.1. Let m = a + 5.5. Let g = -0.2 + m. Is g less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*f + 151*f = s - 20, -5*s = -5*f - 40 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*n**5 - 3594074*n**4 + 10703640*n**3 - 6955192*n**2 - 154560*n = 0. Calculate n.\nAnswer: -2\/93, 0, 1, 2, 19320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -105. Is ((-11)\/11)\/(v\/(-42)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -7 - (-10 - (-13 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - t + 2*t)*(0*t**3 + 2*t**3 + 0*t**3) + (-27*t + 31*t + 0 - 1)*(-3*t**2 - 3 + 3)*(-4*t + 75 - 75).\nAnswer: 44*t**4 - 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138906 is divided by 371.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001 divided by 18?\nAnswer: 10001\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*10\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 4 (b) -6\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 15, m: 4}. What is prob of picking 2 h and 1 m?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509453930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 6*j + 6. Let z(f) = -f**2 + 7*f - 7. Let c(o) = 6*r(o) + 5*z(o). Let h(a) = -a + 2. What is -2*c(y) + h(y)?\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v\/(v*v**(-4)\/v))\/v**(-3\/2))\/(v**(-2)*v\/(v*v\/(v\/((v\/(v*v**(2\/13)*v*v))\/v))*v)) assuming v is positive.\nAnswer: v**(243\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*t**3 + 15956*j**2*w**2 + 2*j*t**3*w**2 - 3*j*t**2*w + 5927*t**3 wrt j.\nAnswer: 2*t**3 + 31912*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.8 - -1.8. Let k = 8 - 3. Which is the second biggest value? (a) k (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/13)*(b*(b*b\/((((b*b*b*b\/(b*b**1))\/b)\/b)\/b)*b)\/b)\/b*b)\/(b\/((b\/(b**(2\/11)*b))\/b*b)*b*b**3*b) assuming b is positive.\nAnswer: b**(-191\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 - 1710 = 189*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l - 5. Let r be z(-3). Let d(q) = -q**3 - 18*q**2 - 18*q - 9. Does 2 divide d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - k + 2877, 0 = 4*m - k + 860 - 3167. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*q - 355*q + 1403*q - 353*q - 346*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 635, 647, 673, 719, 791, 895?\n\"Answer: f**3 + f**2 + 2*f + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4069.1 - -4069. Which is the nearest to -16? (a) s (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -253 + 265. What is the lowest common multiple of 80 and l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 41 + 11. Suppose -5*x + t + 2 = 0. Suppose i = 5*u - 18, 5*u - 16 = x*i - i. Solve -2*d - 8 = -i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, -28, -26, -24, -22?\n\"Answer: 2*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(56) + (sqrt(1400) - sqrt(1400)*3) + sqrt(1400))\/(-2*sqrt(648) + sqrt(648) - (sqrt(1152)*2 - sqrt(1152) - sqrt(1152))).\nAnswer: 11*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13 = 222. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/414 + 2\/23 + (-390)\/315.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 336, 295, 222, 105, -68?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 14. Let g be s(10). Let c(d) = -1 - d**3 + 0*d**3 - g*d + 4*d**2 - 1. What is c(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**2 - r - 3. Let o be h(8). Solve n = 3*x - 20, -5*x + o = 3*n - n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8432982 divided by -6?\nAnswer: -1405497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 14 = -t, -675*g = -671*g + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**3 - 5. Let a be (7\/2 - 1)*2. Let i(y) = -3*y**3 + 2. What is a*i(q) + 2*z(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66043.\nAnswer: 211, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, -1614, -3, 136, 0.\nAnswer: -1614, -5, -3, -0.5, 0, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 42272*k + 68 - 40.\nAnswer: -42272*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.0518 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 8:39 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = -d, 5*s - 2*d - 12 = -0*d. Suppose 8 - 83 = 2*y - w, 3*y - 2*w = -110. Let m = 51 + y. What is the lowest common multiple of s and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 1460746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 867279656 to the power of 1\/2, to the nearest integer?\nAnswer: 29450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 11:51 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040*s - 121*s + 10 + 16*s - 2.\nAnswer: 935*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 19. Let c be x(4). Suppose c*s + a = 29 + 113, a - 2 = 0. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2, -3\/104, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p + 3. Let l(q) = 4*q + 2. Let o be 90\/9*-1 + 7. Calculate o*m(x) + 5*l(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102 - (-69 + 55)) + -56?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848141?\nAnswer: 3, 29, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r - 3. Let x be n(-2). Let m be 10\/(2 + -1) - (6 + 35\/(-7)). What is the second derivative of 34*a**3 + 2*a - x*a + 77*a - m*a wrt a?\nAnswer: 204*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*((-1)\/2)\/((-1)\/346) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 441.5725 to 1 dp.\nAnswer: 441.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24757 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 19. Solve -5*y + 0*y = -o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from aadaljjjaaajdjjaavjj?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/554676 and 137\/204.\nAnswer: 554676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 37*q**4\/12 + 2*q**3\/3 - 5*q**2 + 8*q. What is the units digit of r(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.2 (b) 0 (c) 44 (d) 6\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8983 - 0.9183. What is the second smallest value in q, -5, 1, -0.3, 2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1.28, 2\/11, 1, -2\/13, 0.8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230446006?\nAnswer: 2, 7, 29, 567601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 5*m**2 + 7*m + 1. Let y(p) = -4*p + 37. Let o(c) = 2*c - 18. Let g(s) = 5*o(s) + 3*y(s). Let t be g(23). Let b = 19 + t. Calculate f(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.775 * -0.036\nAnswer: 0.0639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*f + 151 = 0, 0 = 2*g + 5*f - 148 + 3. Let h = -566 - -630. Calculate the lowest common multiple of g and h.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2701\/10 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 12 = 22, 0 = 2*y - 5*q + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2\/7, -2, -183\/5, -3551\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -645 * -0.3\nAnswer: 193.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 480341549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -11, -3 in decreasing order.\nAnswer: -2, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 8 + 152*c**2 + 0*c.\nAnswer: 152*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + b - 54, 5*b - 5 = -k + 1. Suppose 3*p - 2*j + 19 = 0, p + 1 = 3*j - j. Let z = p + k. Is z greater than 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*g**2*y**2 - 5*g**2 + 85*g*y**2 - 32*g - 2 with respect to y.\nAnswer: 34*g**2*y + 170*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -1675 + 256. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - d)*(2 - 3 + 2) + (2*d + 0*d + 0*d)*(15 - 15 + 9).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 = 9. Let k be 3\/2*m*-2. What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**7\/42 + 3*k**5\/4 + 319*k**4\/12 + 151*k. What is the third derivative of n(s) wrt s?\nAnswer: -60*s**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183 and 793?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 547, 546, 545, 544?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 656073000 a multiple of 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 553.07397 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 11) to base 16\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.337 times 212.75\nAnswer: 284.44675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8345112 divided by 4172556\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 0)*(-4 - -3). Let x(b) = -4*b. Let k(y) be the first derivative of 3*y**2\/2 + 168. Let c(v) = d*x(v) + 7*k(v). Let i(n) = 29*n**2. Give i(c(z)).\nAnswer: 29*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3450)\/4140 + -2 + (-110)\/(-42). Let x be 1\/(-5) - 58\/10. Let f = x + 7. Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8721.823 - -8712. Let t = m - 0.177. Is 1\/9 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.65729, 11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 61*n + 601. Calculate b(73).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 5:39 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 1\/3, -218?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 41, 5 in decreasing order.\nAnswer: 41, 5, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -6558484?\nAnswer: -6558488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93440487 is divided by 3795?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -778*a**2 - 2. Let f(r) = -61480*r**2. Calculate g(f(d)).\nAnswer: -2940676931200*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqcqqqqqcqcqq. What is prob of picking 3 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r**4\/5 + 176*r**3\/5 + 1524*r**2\/5 - 1888*r + 2170 = 0 for r.\nAnswer: -7, 31\/19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlqlqxqql. What is prob of sequence ql?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - p = 4*p + 15, 0 = -3*r - 2*p - 6. Suppose -4*c + r*c = -5*j + 7, -2*c = 2*j - 10. Does 8 divide 22 + (-4 - (-10)\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-49)*3*14\/(-60)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let f(s) = -4*s**2 - 14816*s. Give c(f(b)).\nAnswer: 8*b**2 + 29632*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 12:12 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 9. Let c = g + -5. Solve -5*i - 8*b = -3*b + 20, -c*i = b + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:50 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1 + (2 - 0)). Suppose 0*o - 2*o - 6 = x. Let q be (-93)\/(-156) + (-3)\/4. Which is the smallest value? (a) o (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 1444 = -4*q + 9*f, -2*q - f + 728 = 0. Let d(w) = -q*w + 366*w - 2*w**2. Let m(n) = 0*n - n + 11*n. What is d(m(s))?\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 367 + -363. Solve -t = -4*t + h + 18, w*h = 5*t - 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1872 and 726228?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l)**(-4\/17)\/((l\/(l**(-7\/3)*l)*l)\/((l*l**(3\/2))\/l)) assuming l is positive.\nAnswer: l**(-259\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x**3 + x. Let c = -20 + 19. Calculate v(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 10534 = -7*v - 460*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2031 - -2030. Let l be 1 + 2*1\/(-6). Let k be (-2*(-2)\/12)\/2. What is the closest to x in -2\/9, k, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 10*t + 24 = 5*t, -5*b + t - 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.61 - 0.31. Sort 0, 3, p, 5.\nAnswer: 0, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378802447 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 = 3*p. Suppose -z + 0 - 2 = 0. Let o = z + p. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -147300281?\nAnswer: -147300278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42684450?\nAnswer: 2, 3, 5, 17, 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -1, 4, 13, 26, 43, 64?\n\"Answer: 2*r**2 - 5*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 10:36 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26+96006279598\nAnswer: 96006279624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702708 is divided by 140541.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (5 + -33)) + (-17 - (-10 + 2))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-9)*1602\/(-178)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.452 to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -13\/2*f**2 + 5\/6*f**3 + 0 - 9*f + 1\/12*f**4. Let s be t(-9). Solve 8 = 4*v - 2*a, 4*a + s = v + 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*g + 10 + 92*g - 8 + (-4*g + 3*g + 3*g)*(2 + 3 - 7).\nAnswer: 148*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*o**2 - 235*o**2 + 81*o**2)*(-1 - 3 + 9) - 5*o**2 + o**2 + 2*o**2 - 3*o**2 + 2*o**2 + 0*o**2.\nAnswer: -488*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 20959 - 21130 = 0. What is the remainder when -3*((-4)\/(-2) + -11) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + h**3)*(-3*h + 2*h + 2*h) + 4*h + 752090713*h**2 - 752090720*h**2 + 5 - 3*h**4 + 14*h.\nAnswer: -2*h**4 - 7*h**2 + 18*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55460 and 846.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*m + 3)*(20 + m - 20)*(0 + 1 + 2)*(0 + 5 + 0 + 3 - 17 + 2 + (2 - 2 - 2)*(-2 + 5 - 1) + 0 + 2 + 0).\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73799947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 3*s**2 + 11 - 5*s**2 - 11 to p + b*s**2 + f*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 12. Suppose -15*c + 20*c - 57 = -f, 4*c + 5*f - 33 = 0. What is the highest common divisor of c and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + p**3 + 4*p + 8*p as k*p**2 + g + t*p**3 + a*p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2180 and 73\/1744?\nAnswer: 8720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/772 and 13\/812?\nAnswer: 156716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6096649*r**5*y + 2*r**2*y + 2013155*r**2 wrt r?\nAnswer: 365798940*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 14}. Give prob of picking 1 m and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28 + 1 + 3\/((-6)\/4). Suppose 20 = -0*j + 4*j. Suppose 0 = u - 4*l, -2*u - j*l + 25 = -w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 5 - 3*v**4 + 5)*(-7*v + 37 - 37).\nAnswer: 21*v**5 - 28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.0851 * 4.\nAnswer: 168.3404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*h - 7, -26 + 27 = -p - h. Sort -11, p, -1 in ascending order.\nAnswer: -11, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/(-14)*(-2)\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63844 is divided by 656.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**3 - 2*m - 1. Let q be f(-1). Let r = 24 + q. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19789 and 2464.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -12. What is the third derivative of -623*w + 11*w**2 + 623*w - o*w**5 wrt w?\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -8\/7, -2049?\nAnswer: -2049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j**36*j))))\/j**(-7))\/(((j**21*j*j*j)\/j)\/j)**37)**(18\/13) assuming j is positive.\nAnswer: j**(-15174\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83819 - 4343?\nAnswer: -88061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6*(-22)\/(-3). Let c(x) = x + w*x - 3 + 1 - 9 - x**2. What is the tens digit of c(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/(sqrt(32)\/sqrt(4)))\/sqrt(6))\/((sqrt(135)\/(sqrt(9)*1 + sqrt(9)))\/sqrt(5)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 2*w - 2*p, w - 4*p + 2 = -6*p. Let u be 3\/36*-2 + (-2)\/w. Suppose -2*r + u - 9 = -3*q, -3*q - r = -9. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (5 - -38 - 32).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/42 and -7 - (2643\/(-180) - -5).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -40.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-11))\/i*i)\/(i\/i**(2\/9)))\/(i**(1\/4)*i\/i**(2\/3)) assuming i is positive.\nAnswer: i**(383\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -247, -1\/2, 4, 2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013880238 to six dps.\nAnswer: 0.001388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44243 (base 6) to base 4.\nAnswer: 1200003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73772.\nAnswer: 2, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(-33 + 23 - 143)*(3*o + 3*o - 3*o) to the form i*o + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**1)**(-48))**(1\/50))**(1\/6) assuming z is positive.\nAnswer: z**(-8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4205 by 1.\nAnswer: 4205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245*r + 146*r - 4*r**2 - 972 - 55*r.\nAnswer: -4*(r - 81)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.2 + -740.8. Let k = h + 775.4. Put -0.5, -22, k in ascending order.\nAnswer: -22, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4868 + 15055. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2888*z**3 + 11124596*z**2 + 77040*z = 0.\nAnswer: -3852, -5\/722, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**4 + d**3 - 4*d. Let f(j) = -j**4 + 3*j**3 - 42*j**2 + 84*j - 40. Let c(t) = -5*f(t) - 10*l(t). Factor c(y).\nAnswer: -5*(y - 2)**2*(y - 1)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -1.13.\nAnswer: 0.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -477, -4020, -13717, -32664, -63957, -110692?\n\"Answer: -516*c**3 + 19*c**2 + 12*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1620*i - 12296. What is u(8)?\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 16. Let d = 8 + -5. Let g(p) = -p**3 + 5*p**2 + 2*p - 7. Let c be g(5). Solve -d*y = q - a + c, -4*q - 4 = -2*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7633027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 8*s**2 + 2*s + 2. Calculate the remainder when c(8) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 95 - 94 + 5*m. Give x(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13550 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*m = -59, -2*m + 50 - 8 = 4*t. Let f = 29 + t. Let j = f + -28. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20871103783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25\/24 - 7\/8. Let b be 1\/(1\/4*1). Let x be b\/10 + 5\/175. What is the third biggest value in -0.4, x, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -4. Suppose 5*p + 29 = 3*i, -2*p + 2*i - 13 = -3. Let r = p - a. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/28050 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154505 is divided by 1073?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287190715 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*s - 2256 = -66*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -228a - 2664?\nAnswer: -48ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -222\/7*s**2 - 27\/7*s**3 + 0 - 48\/7*s = 0.\nAnswer: -8, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 18 + 4 = 0. Let l = f - -7. Suppose -4*b - 8 = l, -c + 4*b + 17 + 2 = 0. 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 10167622 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: Let i(t) = -580*t**2 - 66120*t + 293. Calculate i(-114).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 22 - 18. Which is smaller: s or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0336 and 472.065.\nAnswer: -15.861384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9002 minus -0.15?\nAnswer: 5.0502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 451622.022 + -451990. Let h = w - -368. What is h rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 - 4*h - 7. Let j(b) = b + 18. Let f be j(-13). Let o be z(f). Let a be 2\/(-4) - (-1)\/(-2). Put a, 2, o in decreasing order.\nAnswer: 2, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*c + 3*c + c - 6*c + (c + 0*c + 0*c)*(-1 + 2 - 3) - 1 + 1 + c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11440 and 11?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:39 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 30*p**2 - 23*p - 210. Give a(30).\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 not equal to -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -56. What is the remainder when 43 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212386712 + -212386716.59999905. Let f = -4.6 - s. What is f rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 12 = -4*f, -2*h - f = 3. Suppose h = -2*r + 3*j + 4, 3*r + 6*j = j - 13. Let a(x) = -5*x**3 + x**2 + 1 + x - 13*x**3 + 22*x**3. Give a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17642803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -14. Let j = t - 60.0000006. What is j rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*q - 3*q - 202 = 0, -48 = -v - q. Calculate the remainder when 210 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 1 - -2*1\/(-1). Sort -5, u, 1, 2 in decreasing order.\nAnswer: 2, 1, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37934.208 microseconds in hours?\nAnswer: 0.00001053728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 4, 2*h - 4*y - 12 = 0. Which is the closest to -1? (a) 0 (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309 divided by 3.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 797, 951, 1105, 1259, 1413?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**2)**(-2\/147))**(-8))**(14\/15) assuming o is positive.\nAnswer: o**(64\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 740720330 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 4:56 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + 11 + -4)*(-3)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12436 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4107776 is divided by 2326.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 19*j**2 - 19*j - 19. Let g(x) = 106*x + 88. Let h be g(-1). Give t(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = 16*x - 549. Solve u - 10 = 5*d, 4*d - 10 = 9*d - x*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 360557*g**2 - 13*g - 24123304?\nAnswer: 721114*g - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times -0.063?\nAnswer: 0.2079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 311 + (-6)\/(28\/(-8) + 2). Suppose 57*q = 54*q + s. Let z = q - 839\/8. What is the closest to -1 in -5, -0.9, z?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -43 + (5 - 0 - (-49 + 43)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11076 and 78.\nAnswer: 11076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3017 is divided by 1499.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**3 - 30*z**2 + 126900*z - 7533000 = 0. Calculate z.\nAnswer: -186, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 49*l - 46*l - 5 = 0, -3*l + 1 = -5*f. Solve 5*q = 5*k, 3*q = k - f - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 1. Let j be (-3 - 81)*(-2)\/(1 + 1). Let c be (-6)\/4*j\/(-18). Give r(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, x: 1, c: 1, j: 4, y: 3}. What is prob of sequence xw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.4 (c) 2 (d) 2088 (e) -21.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4) - 2\/(-4). Let s(y) = -y**2 - 12*y + 15. Let u be s(-13). Solve -z*k - 1 = 3*c, -4*k + 6*k = u*c - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00034904218 rounded to six dps?\nAnswer: 0.000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.407 + 0.807. Let h = -0.2 + 0.2. Which is the nearest to 1? (a) q (b) h (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3241*v - 1145. Let w(n) = -3244*n + 1139. Let r(d) = 3*m(d) + 4*w(d). Differentiate r(p) wrt p.\nAnswer: -3253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329962 and 17652967?\nAnswer: 35305934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*a + 5*h + 54, 5*a = -h + 8. Solve 4*g - a*l - l + 29 = 0, -2*l + 16 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 2\/53 (c) -3 (d) -18 (e) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9, 3.\nAnswer: 0.2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 14 = -4*p + 16, 5*p = b + 37. Suppose -y + 0*a - a = 16, 0 = -2*y + 3*a - 57. What is the remainder when 2\/(-7) - (489\/y - 2) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8546 - -8550. Let o = -0.8 + 0.3. Which is the closest to -0.2? (a) -12 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/10*10\/(-12). Let s(m) be the third derivative of 1\/480*m**6 + l*m**3 + 1\/48*m**5 + 1\/12*m**4 + 0*m - 41*m**2 + 0. Solve s(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w - 38*w**3 - 10*w**2 - 5*w**4 + 15 + 18*w + 18*w**3.\nAnswer: -5*(w - 1)*(w + 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1457.26385 rounded to 1 decimal place?\nAnswer: -1457.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6527 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 1, f: 1, u: 1, v: 1}. What is prob of sequence yt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45277 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2132*q**2 - 5245*q.\nAnswer: 4264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z - 2 - 2*z + 0*z - 2*z.\nAnswer: -11*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + -1 + 6\/1. Differentiate -39 + 22*j**4 - 24*j**c - 5*j**3 + j**3 with respect to j.\nAnswer: -8*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -888?\nAnswer: -888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 158352879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4\/4 + 4*k**3\/3 + k**2\/2 - 4. Let m(z) = z**2 - 8*z - 1. Let o be m(8). Let y(p) = 4*p. Let t be y(o). Determine c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(2 - 2 - 19*p**2).\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times 46.7\nAnswer: -6.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - r - 1. Let o(m) = 10*m**3 + 6*m - 4. Let b(g) = -4*d(g) + o(g). Let y(t) = 2*t**3 + 3*t. Calculate 3*b(u) - 10*y(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l**5 + 1074*l**4 - 6402*l**3 - 3324*l**2 + 6393*l + 2250 = 0.\nAnswer: -125, -1, -1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 94\/5*(2 + 25\/((-25)\/(-3))). Calculate the greatest common divisor of z and 4183.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 460 = -40. Suppose 4*t + 11 = 3*p - t, -p + 3*t = -5. Let s be p + -6 + 29 + 0. Calculate the highest common divisor of c and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69566719 + 69566770.823719. Let s = -17.1762708 - o. Let a = 69 + s. Round a to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20430, 20445, 20460, 20475, 20490?\nAnswer: 20505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - 4 + 4 + (4 - 2 - 1)*(-o + 4*o - 2*o) - 19 - 7 - 38*o + 28.\nAnswer: -34*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*r**2 + 172559*r + 174892449 wrt r?\nAnswer: 6*r + 172559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 69816 (base 13) to base 15\nAnswer: 3c090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 45 = -51. Suppose 19*n - 35 = g*n. What is the greatest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**4\/12 + n**3 + n**2 - 871*n. Suppose 0*i - 5*i + 25 = 0. Calculate k(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-321)\/5 + (-1)\/(-20)*4. Let g = y + 111. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w**2 + 100*w**2 + 37*w**2 - 7*w to the form k*w + t + h*w**2 and give h.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(19 - 13 - 15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 17*r**2 - 2*r + 1. Let n(z) = 15*z**2 - 2*z + 1. Let u(c) = 5*n(c) - 4*v(c). Determine u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:31 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -30*j - 57. What is the remainder when 30 is divided by q(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342172 not equal to 342272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22272 and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g\/(g\/g**(2\/19)))*g)\/g)*g)\/g*g)\/(g**(2\/21)\/g) assuming g is positive.\nAnswer: g**(802\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**3 - 3*c**3 + 2*c**3)*(-198*c - 142*c + 174*c) in the form m*c**3 + a + z*c + i*c**2 + n*c**4 and give n.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 257736 plus -0.0245325?\nAnswer: 257735.9754675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 316*a - 319. Give m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 684336554 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 5, 22, 2\/9, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -16, -2 in increasing order.\nAnswer: -16, -8, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 - 0.13. Let z = 3.8 + -1.8. Which is the third smallest value? (a) v (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50095202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + (-4 - (-4 - (150 + 3)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/10 - 8\/(-20). Suppose 4*f - 3*m - 19 = 0, 2*f + 5*m = -3*f + 50. Suppose -11 = -a - f. Solve -t*k - 2 = 0, 3*k = a*n - k + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 3)*(-276)\/48*-2. Suppose 0 = z - 0*r - 5*r - f, r = -z + 53. Calculate the remainder when 84 is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 30 = -10. Suppose m - l = -3*m. Solve -c + 4 = -g - 4*g, -m*c - 7 = 5*g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2628 - 2628.1. Let c(o) = 3*o - 3. Let v be c(-4). Which is greater: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*3)\/(2\/(-4)). Let c(y) = -3*y + a*y - 2*y. Let s(v) be the third derivative of v**4\/24 - v**2. Determine c(s(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - -26060?\nAnswer: 26126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3258.9404 minus -0.156?\nAnswer: -3258.7844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 200, -0.08, 2, 0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 575451? (a) -2\/25 (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 10, r: 9, l: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 6. Let u be 3 + (-4 - (-3)\/(-1)). What is h(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 95393 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04442 + 255016616?\nAnswer: 255016615.95558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 - (-53 - -69) - 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u**2 - 229*u + 1185. Give i(18).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3058*s = 3*s - 97760 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + -4 + sqrt(2) - (sqrt(2) - -2*sqrt(2))*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 1}. What is prob of picking 1 t and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (sqrt(38) - sqrt(38)*1))\/sqrt(2) + -3)*-6 + ((sqrt(171) + 3 + 3)*1)**2.\nAnswer: 30*sqrt(19) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 241478996.9 rounded to the nearest 10000?\nAnswer: 241480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let l(o) = -7*o**2 + 8*o - 5. Let z(j) = 3*j - 2. Let b(y) = -2*l(y) + 6*z(y). Suppose 5*h = 2*c + 24, -3*h - 2*h - 12 = c. Give c*s(p) + b(p).\nAnswer: 2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483918176?\nAnswer: 2, 7, 2160349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 424, -2\/5, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25401 is divided by 1813?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 63\/99815, 4\/5 in descending order.\nAnswer: 4\/5, 63\/99815, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 503*b - 26509. Calculate g(48).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/30 and 1\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1670187, -4 in descending order.\nAnswer: 7, -4, -1670187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 10*s + 13. Suppose 0 = -8*b + 24*b - 48. Suppose -n = -5*o + 63, 15 = -b*n - 2*n. What is z(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 + 16*k**2 - 9*k**2. Let a(f) = -25*f. Calculate w(a(y)).\nAnswer: 1875*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/((-2)\/(-10)). List the prime factors of 0 + n + 0 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*(1\/(-1) - 5). Let v = -28 - o. Suppose 0 = 3*t - 10 - v. Solve 4*b = -b - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41903 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193914469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 29*c**3\/3 - 1010*c + 539. Find the first derivative of o(d) wrt d.\nAnswer: 58*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -27. What is the greatest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wggmimzmmggmmgwghimm. Give prob of sequence mmgi.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-6))\/((-15)\/90). Let u(g) = 2*g**2 + 31*g + 12. What is the lowest common multiple of u(a) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 21*p - 49*p.\nAnswer: -80*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -645670 divided by 135.\nAnswer: -129134\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -23. Let l(d) be the third derivative of -1\/60*d**6 + 0*d**5 + 0 + z*d**2 + 1\/12*d**4 + 0*d + 0*d**3. Suppose l(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76935 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 10*x - 4785 = 0. Let n be (-66)\/(-14) - (-4)\/14. Suppose 3*g = -f + 5*g + x, -n*f = 2*g - 2235. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -65957*u - 4616980. Give r(-70).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.169, -1, -8, -0.4, 1\/5 in descending order.\nAnswer: 1\/5, -0.169, -0.4, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 9*y - 8. Let q = 43 + -27. Let v be 0 - (-1*q)\/(-2). Let h be c(v). Solve h*i - 8 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 52*n - 56*n + 7 + n + n**2. What is l(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 17*p - 143. Calculate r(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 + 3*a**2 - 23269*a + 23269*a - 98*a**4 + (-2*a**3 - 2*a + 2*a)*(-3*a**2 + a**2 + 4*a**2).\nAnswer: -8*a**5 - 98*a**4 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, 8617, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 - 3.2. Let s = -0.8 - -0.84. Let c = s - 0.24. Put h, 0.2, c in increasing order.\nAnswer: c, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706920?\nAnswer: 2, 3, 5, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 35. Is -7 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 - 2*x**5 + 4*x**5 + (643*x**2 + 320*x**2 - 87*x**2)*(x**2 - x**2 + x**3).\nAnswer: 875*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 - 2*s**2 + 40*s**3 - 2 - 42*s**3 - 9 + 3*s**4 to n*s**2 + z*s**4 + i*s**3 + h*s + t and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g - 38. Let l be i(-10). What is the second derivative of -38*x + l*x**4 + 39*x**2 - 22*x**2 - 17*x**2 wrt x?\nAnswer: 264*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28927*a*t*z - a*t - 10*a + 75*t - 5 with respect to z.\nAnswer: -28927*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19149 is divided by 46?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 b when three letters picked without replacement from {c: 3, b: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(56))\/sqrt(4) - sqrt(14))\/(sqrt(32)*2) - (2 + sqrt(7) + (sqrt(175) + 4)**2)*3.\nAnswer: -579 - 983*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (20 + -25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/24 (c) -1\/4 (d) 2\/25 (e) 0.035\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*n + 33*n - 10*n = -49*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4728, -5418, -6110, -6804, -7500, -8198, -8898?\nAnswer: -9600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167 is divided by 191.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 0. Suppose 7*a - l = 3*a. Suppose -4*s = -a*s. Solve s = -2*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l + 20. Let b be f(-12). Suppose 3*w = -w + b. Let c = 20 - w. Sort c, 1, -1 in ascending order.\nAnswer: -1, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1704*k - 2529*k + 71961 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 655245 and 655245?\nAnswer: 655245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4280938 + 0.035.\nAnswer: -4280937.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11432 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 7*c**3\/6 + 11*c**2\/2 - 2*c - 4. Let n be (-28)\/(-6) + 2\/6. What is the units digit of m(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355832 divided by -18728\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 521*o = 523*o, o = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10684950.9200071 - 10684950. Let q = -51.92 + 51. Let d = q + m. What is d rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 542639 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 64608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 1 - 1 - 1 + 1 + q**5 + (-q + q + 2*q**4)*(-q + 3*q - 3*q) - 2*q**5 + 2*q**3 + 28*q**4 - 28*q**4.\nAnswer: -5*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (75 - 200 - 186)*(5*u**3 - 5*u**3 - 4*u**3)*(4 + 3*u - 4) in the form c*u**4 + g*u**3 + o + i*u + j*u**2 and give c.\nAnswer: 3732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 153, 165, 193, 243?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 m when four letters picked without replacement from {m: 9, x: 7}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6181200 or 6181202?\nAnswer: 6181202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - -1 - 0\/5. Suppose -3*h - u = 6, -i*h = -4*u + 8 - 0. What is the units digit of ((-1)\/h)\/((-3)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 5:20 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose 9 = -2*q - 3*k, -27 + 5 = -4*q + n*k. Suppose -2*w = -2*o + 10, -q*o - 4 = 4*w + 2. Which is bigger: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 93. Let v = 32.97494802 - -0.02498698. Let k = m - v. Round k to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 - 76. Let s(y) = y**3 - 11*y**2 - 18*y - 1. What is the remainder when s(c) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00171077293 to seven decimal places.\nAnswer: -0.0017108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/11*30\/5. Let u = c - -39\/22. Let t = -1\/22 - u. Sort 4, t, 3 in descending order.\nAnswer: 4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k - 8*k - 1 - 6 - 1. Let c be l(-8). Suppose 0 = 5*q - 3*f - c, -5*q + 76 = -5*f - 14. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 38 - (102 - 8)) + 8?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*z - 50, -5*z - 2 + 7 = 2*h. Let p(b) = b**2 + 3*b - 3. Let j be p(-3). List the prime factors of (2 + 6 + j)*(-104)\/h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317 - -147. Let k be ((96\/15)\/8)\/((-1)\/t). Let z = k + -132. What is the remainder when 4 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/20*-2)\/((-3)\/6*2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*a*u**3 + 2*a*u**2 - 2717*a*u - 3*a - 314375*u**3 - 5*u**2 with respect to a.\nAnswer: 23*u**3 + 2*u**2 - 2717*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7857816 rounded to the nearest one thousand?\nAnswer: 7858000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1599?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 28. Suppose -25 = -5*p, p - 25 = -0*x - x. What is the least common multiple of x and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -91*b**6 - 28*b**3 + 119. Find the third derivative of a(f) wrt f.\nAnswer: -32760*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 736\/368 - (1 + 1 - 0). Let f(j) = j**3 + 2*j**2 - 39. Give f(k).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = p + 2*p - 168, p - t - 56 = 0. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*t - 2*f, 5*t + 2*f = 19. Let y be (-72)\/56*(-14)\/t. What is the third biggest value in 0.07, y, 2\/5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5, -27 = -c - 0*j - 5*j. Let k(f) be the second derivative of -f - 1\/30*f**4 + 0*f**c + 0 + 2\/15*f**3. What is b in k(b) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*u**4 + 20*u**4 - 44*u**4 + (-4*u**2 + 2*u**2 + 0*u**2)*(u**2 - 3*u**2 + 0*u**2) + 1 - 1 + u**4 - 4*u**4 + 3*u**4 - u**4.\nAnswer: -97*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -448 * 0.36.\nAnswer: -161.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4888036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 - 299 - (0 - 0) - 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0811932 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c\/c**1)\/(((c\/c**(-13))\/c)\/(c*c**11)) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/32 - (-3)\/(-4). Let o(n) = 3600000*n**2 + 3*n + 12*n - 1 - 16*n. Let f be o(g). Round f to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-9)*63\/28.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13691431 and 21580?\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 18 - (-8 + -1) - (-1 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37246 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 239 - 14 + 561*l.\nAnswer: 561*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i**2 + 12*i - 6. Let r(c) = 12*c**2 + 18*c - 9. What is 7*f(x) - 5*r(x)?\nAnswer: 3*x**2 - 6*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q + 6. Let z be w(13). Suppose -5*k = 3 - z. Calculate the remainder when 54 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6839?\nAnswer: 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*(-16)\/4. Suppose -3*o = t*o. Solve o = 5*j + 5, -9 = 4*l + 2*j + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -464*m**2. Let d(q) = -5*q. Determine d(z(f)).\nAnswer: 2320*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**8\/560 + m**6\/40 + m**5\/20 + 53*m**3\/3 + 93. Let w(p) be the third derivative of v(p). Factor w(h).\nAnswer: -3*h*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g - 4 + 2 - 45*g.\nAnswer: -29*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(30)\/(sqrt(6)*2)))\/(-3*sqrt(64) - sqrt(16)).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 14. Let f be g(3). Suppose 0 = 2*r - f*z - 10, -z + 2*z = 2*r - 7. Is 199\/((0 - r) + (-28)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12354944 is divided by 152530.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 4*p = y - 11, -3*y - p + 19 = 0. Let q = y - 36\/7. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*p**6 + 11*p**3 + 5*p**2 - 9 wrt p?\nAnswer: 1800*p**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424436 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - j**2 - 18*j**2 + 16*j**2 + 18*j**2.\nAnswer: 15*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 100. Suppose l*w = 0, -3*q + 6*q + 5*w = 114. Calculate the remainder when 107 is divided by q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 420, 522, 624?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137511 is divided by 349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2724328 is divided by 1123.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:11 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1517*q**3 - 21532*q + 43071*q - 3*q**4 - 21541*q as r + i*q**2 + a*q + x*q**3 + v*q**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70)*-3)\/((sqrt(640) + sqrt(40))\/sqrt(4) - sqrt(10)) + -1)**2.\nAnswer: -3*sqrt(7)\/2 + 79\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) 4\/33 (b) -1\/89 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*g - 56*g = 42. Let o be g + (-1 - -26)\/(-5). Which is smaller: o or 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101 (base 9) in base 14?\nAnswer: 17799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -17\/4 (b) -0.4 (c) -5 (d) -2.6 (e) 12\/11 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 578*h + 1160*h - 582*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - ((-4)\/5)\/((-13)\/8190). Let f = 1394 + v. List the prime factors of f.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 80, 310, 730, 1382, 2308?\n\"Answer: 7*n**3 + 53*n**2 + 22*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29768582.\nAnswer: 2, 1087, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 26. Suppose -132*q = -147*q + 330. Let o be h(q). Suppose -4*g + 35 + 21 = 0. Solve -l = -3*x - 1 + 3, x = o*l - g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20a7 (base 12) to base 16\nAnswer: -dff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/11))\/(d*d**(-11))*d**(-3)*d*(d*d**9\/d*d)\/d*d assuming d is positive.\nAnswer: d**(211\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2349*a**2 + 48*a**3 - 53*a**3 - 2879*a**2 = 0.\nAnswer: -106, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, b: 1, x: 4, y: 6, o: 2, c: 3}. What is prob of sequence cpb?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjanjjann. What is prob of sequence jnjn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -11382848.08829.\nAnswer: 11382849.08829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -6. Let p = c - -14. What is the remainder when 7 is divided by (1*-8)\/((-10)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3051330 divided by -170?\nAnswer: 17949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159478063.\nAnswer: 10499, 110437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9543387*b*q**3 + 268*b*q**2 + 9*b*q - 8*b + q**2 + 2*q wrt q?\nAnswer: 57260322*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-18) + ((-2)\/1)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2388391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by -2209328?\nAnswer: -89\/2209328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/20 - 2*c**4\/3 + 4*c**3\/3 - 5*c**2\/2 - 4*c. Let t be n(7). Solve -7 = -3*u + t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a day in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -107725832?\nAnswer: -107725837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35225051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {s: 2, j: 1, f: 1, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 32, 24, 14, 2, -12, -28?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -4, -3 in descending order.\nAnswer: 7, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/(s*s**0))\/s)**11\/(s\/(s\/s**(2\/7))*s)**(-3\/13)*(s**(-1)*s*s)**(-11\/7)\/(s**(-1\/4)\/s)**(-21) assuming s is positive.\nAnswer: s**(-10019\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13725, -13724, -13723?\nAnswer: -13722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1116, 5237, 12332, 22401, 35444, 51461, 70452?\nAnswer: 92417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 2*s + 9*r, 6*r + 11*r + 45 = 5*s + 17*r - 4*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/18 + (-103243)\/(-21). Suppose -13*n + 5066 = -s. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - r, 5*u = -3*r + 22. Suppose 1 = l + u, -l = 2*q - 105. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71579\/14 - 5109. Calculate the common denominator of w and -21\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.755 + 42.255. Let p be 2\/(-3)*(-12)\/2. Suppose -6*k - p = -4*k. What is the nearest to -2\/7 in z, 0.2, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 9 - 4)*(5 - 5 - i)*(-4*i**2 + 7*i**2 + 3*i**2) + (3 - 3 - 2*i)*(-3*i - i**2 + 3*i) to p*i + v*i**3 + b + s*i**2 and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 25 + 7*n - 4*n + 7*n to the form g + p*n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18255 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9388641 litres in millilitres?\nAnswer: 938.8641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-78)\/24 + 5 + (-2)\/8. Let u(d) be the first derivative of 1\/3*d**3 - 3 + 0*d + g*d**2. Find the second derivative of u(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3903 + 3901. Which is the smallest value? (a) t (b) -1.7 (c) 4 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -344 - -346. Let g = 0.1 + -0.1. Let n = 0.1 - g. Which is the closest to i? (a) -3 (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*d**2 + 27224 - 27224)*(8 - 1 - 1)*(0 + 3 + 1)*(0 + 0 + 2).\nAnswer: -2448*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**6\/60 - d**5\/10 - d**4\/6 - 11*d. Factor u(j).\nAnswer: -j**2*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:45 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 + 47*r + 181*r - 9*r.\nAnswer: 219*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6846538335?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285.97 - 13.03. Let q = 33697345663 + -33697345364.00000261. Let c = t + q. Round c to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12693143*o**2 - 9*o + 466772470?\nAnswer: -25386286*o - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 673055577 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29536550 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6366 or 6626?\nAnswer: 6366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(20\/(-56)))\/(3 - 1). Let f(r) = r**3 + 6*r**2 - 3*r + 10. What is f(d)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12)*-1)\/sqrt(4) - ((sqrt(6)\/sqrt(2))**2 + 3)) + -5*sqrt(48))*3.\nAnswer: -63*sqrt(3) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1651 + 92*d - 98*d + 1651.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -57?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167840521.\nAnswer: 71, 107, 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - z - 8 = 0, 3*z - 8 = u - 0*z. Differentiate -f**u + 7*f**4 - 6 - 9*f**4 with respect to f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-660)\/(-45))\/11*6\/4. Solve -2*t - 9 - 3 = -l*i, t + 10 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + 0 - 12) - (-63 + 54).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrclslllg. Give prob of sequence zs.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + sqrt(133) + -1*sqrt(133)))*4)\/(sqrt(28)\/(-1*sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (992\/93)\/(16\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-4)\/192*4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 550, 554, 562, 574, 590, 610?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58\/969 - 369595\/6783. Let z = j - 421\/63. Which is smaller: -60 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 5*y**2 + 12*y - 20. Let z be c(6). Solve 5*u + 4 = -z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607812637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -18. Solve -i + 3*i = f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938151651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2 - 2862*l - 616176 = 0.\nAnswer: -1167, -264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-6*(sqrt(143)*1 + sqrt(143)) + sqrt(143) - sqrt(143)))\/(sqrt(121)\/(sqrt(11) + (sqrt(396)*-2 - sqrt(396)) + sqrt(396) + sqrt(11))))**2.\nAnswer: 748800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 6, 0, 0.3, 0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Suppose 0 = r*m - 6, 2*y + 2*m + 2 = -2. Let d = y - -6. Solve 5*q - d*q + 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21208161\/11 + 1923709. Let o = 4302 + b. Find the common denominator of o and 8\/(-20)*(-10)\/(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1637, 4047, 8023, 14351, 23817, 37207?\n\"Answer: 131*y**3 - 3*y**2 + 1502*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -396937 or 58?\nAnswer: -396937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 438204101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.4 - 31.4. What is the nearest to 1 in 15, -1\/8, y?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3712*n. Let z(c) = 3*c. Determine z(w(j)).\nAnswer: -11136*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/240 + (-30 - -29) and 25\/56.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(110))\/sqrt(2))\/(-2*sqrt(5)*1))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f - 0. Let y(p) = -p**2 + 4*p + 1. Let h be y(f). Solve -o - h = 3*o + 4*w, -5*w = -3*o + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8 and -127\/46548.\nAnswer: 93096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbmllzbnz. What is prob of picking 1 z and 1 l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 1. Let i(p) = 2*p - 6. What is 3*d(m) - i(m)?\nAnswer: -5*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 is divided by 2\/(-8) + 55\/44.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-14)\/(-168)). Let a(v) = v**2 + 19*v - 77. Let w be a(-32). Suppose 339 - 16*h - p*h**2 - w - 4*h = 0. What is h?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2959025 in ascending order.\nAnswer: -3, 1, 2959025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 69*k + 5381. Calculate h(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/360*2168\/70 + 26?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1515*k + 140 = 1522*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 s when four letters picked without replacement from {s: 2, k: 17}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28002.2 micrometers to centimeters.\nAnswer: 2.80022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - -11 - (-2 + 10 + -8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.2 (c) -5\/14 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1802)\/(-11) + (-1)\/(33\/(-6)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**5 + 825*r**4 + 6922*r wrt r?\nAnswer: -60*r**3 + 9900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + z**2 - z)*(-2 + 1 - 1) - z**2 + z**2 + 3*z**2)*(23*z**3 + 26*z**3 - 23*z**3).\nAnswer: 26*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2890825 divided by 17\nAnswer: 2890825\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/2 (c) -25\/2 (d) 116\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 (base 11) in base 2?\nAnswer: 11001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1062, -3281, -7000, -12237, -19010?\nAnswer: -27337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 31. Let m be ((-5)\/(-10) - -4) + i\/(-2). Find n such that -17*n**m - 5*n**2 + 5*n + 12*n**3 - 2 + 7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2922\/(-4870))\/(-1*2\/6)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9424 - 9423.999984348. What is x rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 41 = -66 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.6 (b) 0.09 (c) 4 (d) -642\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q + q - 42 = 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsg when three letters picked without replacement from {g: 3, w: 1, s: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/80*-85 - (21 - 484\/13)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44582789110 less than -4?\nAnswer: -44582789114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-342))\/((-4)\/9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + (sqrt(56) - sqrt(224)\/sqrt(4)))\/sqrt(8) - (-1*sqrt(28))\/sqrt(4))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 + 246. Let s be (j\/(-70))\/((-4)\/14). Suppose s*w = w. Solve w = -i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101375*j**3 + 0 + 10609*j**3 + 0.\nAnswer: -90766*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 227\/3352650 and -71\/111600.\nAnswer: 80463600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 817 - 367. Is 30 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3. Let i(u) = -8*u - 7. Let h(d) = -13*d - 12. Let s(g) = -3*h(g) + 5*i(g). Give s(b) + x(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 4*z - j - 22, -5*z + 5*j = -60. Suppose -4*y - z*y + 1036 = 0. What are the prime factors of y?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57.3 + 58.3. What is the nearest to 1 in -3\/5, g, 0, 58?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 8. Suppose -g + 112 = 21. Suppose 0 = 4*z + 3*f - 41 - g, -4*f = 4*z - 132. Calculate the highest common divisor of z and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x + 3. Let h be z(-3). Let t = 101 + h. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s - 7*s + 4*s + (1 - 2 + 2)*(-2*s + 3 + 0*s - 5).\nAnswer: -9*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - ((8 - (-8 - -15)) + -19).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 9:07 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1832\/19 + 9217\/95. Which is smaller: w or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -11 + 15. Let r be 3\/((-9)\/(-24)) - 2. Is (x\/r)\/((-6)\/(-171)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 1350*s + 24074. Let d be j(18). Suppose 0 = 3*k - 2*b - 11, -2*k - 2*b + 7*b = 11. Calculate the highest common divisor of k and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*c - 6*f - 106, 717524 = -2*c - 2*f + 717534 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2170 and 539399070?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23044\/11 - 4187\/2. Calculate the common denominator of 31\/64 and i.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 277*t**2 - 50 + 11 + 23 in the form k*t**2 + q*t + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(z**4 + z**4 + 0*z**4)*(5*z - 2*z - 5*z).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42201 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463 at least as big as 162799\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1213361, -4853433, -10920221, -19413725, -30333945, -43680881, -59454533?\nAnswer: -77654901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9824*c**3*q**3 - c**3*q**2 + 2*c**3*q + 3*c**2*q + 22*q**2 wrt q?\nAnswer: 58944*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10447 a factor of 2995081771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -141*g**2\/2 + 145*g - 153. Find the first derivative of x(p) wrt p.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + l**4)*(-4*l - l + 6*l)*(-2 + 22 + 21)*(0 - 2 + 0).\nAnswer: -82*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.28 + 1.103. Let k = w - -0.256. Round k to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73472 and 0.1?\nAnswer: 7347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.868 + 7.268. What is the fourth smallest value in 0.1, 0.2, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166494.\nAnswer: 2, 3, 27749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111122122000 (base 3) to base 14.\nAnswer: 1d271b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Suppose -2*w + 132 = j, i*w + j + 11 - 273 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -71*c. Let d(m) be the third derivative of -m**6\/180 - 31*m**3\/3 - 2*m**2 + 42*m. Let t(o) be the first derivative of d(o). Determine t(k(w)).\nAnswer: -10082*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -216*f + 1956. Calculate the remainder when n(6) is divided by 92.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 0.3947\nAnswer: -0.3747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108\/5 + 159\/5. Calculate the common denominator of o and 23\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -990*g + 16*g**2 + 47*g**2 - 35*g**2 + 47*g**2 + 4*g**4 - 2 wrt g?\nAnswer: 48*g**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7207351092 to the power of 1\/5, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 129 + 117 = 231, 4*f = -a + 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29, -4, 2338 in decreasing order.\nAnswer: 2338, 1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i. Let c(a) = -31*a**2. Give c(n(l)).\nAnswer: -496*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 5. Let f(p) = p + 2. Give -b(h) - 2*f(h).\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319984305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + k = 52059996, u - 13*k + 13014988 = -10*k. What is u rounded to the nearest 100000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/15)\/g)\/(g\/(g*g\/(g*g**(3\/8)))))\/(g\/g**8*(g**(-8)\/g)\/g) assuming g is positive.\nAnswer: g**(2011\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/190 and 59\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4 + 19) + 2\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 785\/4. What is the second smallest value in -2\/5, -0.059, 0.3, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8978506 centimeters to micrometers.\nAnswer: 8978.506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 31 (b) -1\/3 (c) 2\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/11 in 15\/4, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 98 + 18. What is the first derivative of 17 + 17 - f*m - 4 - 7 wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-2) + 20\/(-8))\/(6\/36). Let w(o) be the third derivative of o**m + 0*o + 1\/3*o**4 + 0 + 5*o**2 + 1\/30*o**5. Factor w(f).\nAnswer: 2*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {y: 2, k: 2, i: 1, t: 1, c: 8, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245232 and 6288?\nAnswer: 245232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 221b (base 15) in base 16?\nAnswer: 1c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**2 + 12*m - 6. Let q(a) = 24*a**2 - 56*a + 28. Let s(k) = -14*b(k) - 3*q(k). Let p(t) be the second derivative of t**3\/2 + t. Determine s(p(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18030.4 - 18030. Let v = -3 - -2. Which is the smallest value? (a) -16 (b) v (c) -0.2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.53 + -15.83. Let i = 0.04 - -4.96. Which is the smallest value? (a) -2\/7 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4 - a**4 + 11*a + 4*a**4 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 15 = -12*y + 10*y, 5*y = 3*p + 28 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {b: 3, u: 3, n: 3, r: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -32903 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-187))\/((-6)\/(-165)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55922379 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 106927 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -33*u + 53*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/10 - 8)*(1385\/(-195) + 7). What is the closest to k in 0.5, 2, 4, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.05 - -12.05. Let z = c - 15. Is 2\/9 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 505723947722 - 0.1.\nAnswer: 505723947721.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -291646.4136 rounded to the nearest 100?\nAnswer: -291600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - -26?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2496 and 48.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, y: 3}. What is prob of sequence lll?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - 6. Let f be -1*(q\/(-9))\/(-5). Let g = -103\/286 - 20\/143. What is the nearest to g in -4, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -239.47 + 240. Let s = 3.47 + q. Suppose 2*u - 3*u = 4*z - 5, -2*u + 5*z = 16. What is the closest to 0 in 0.5, s, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**5 - 5*p**5 + 3*p**5)*(-2 + 3 + 0) + (-6*p**2 + 6*p - 6*p)*(0 + 0 + 4*p**3).\nAnswer: -23*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.724 to 1 decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8395 - 7967 - 9*c - 8390 + 24752.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7448 and 20188?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55807081 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: What is the remainder when 17405 is divided by 263?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*u = 6, -2*a - 28 = -2*u - 22. Solve a = -45*v + 50*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s - 2*q = 0, -3*q + 12 = 3*s. Suppose -z + 3*r - 4 = -0*r, s*z - 25 = -5*r. Let x = -45\/13 - -276\/91. Sort 2, z, x in descending order.\nAnswer: z, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -514.855 - -515. Which is the third smallest value? (a) 4 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6*2)\/((-4)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.1 - 16. Let c = 0.9 + f. Put c, 0, 16 in ascending order.\nAnswer: 0, c, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 18\/7, -1\/5?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*t - 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q + 500. Let b be k(26). What is the second derivative of -b*r**2 - 6*r**2 - 6*r + 56*r - 97*r**2 wrt r?\nAnswer: -530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvcvcvmrcuc. Give prob of picking 2 c and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/((-9911)\/(-408))*(8\/4)\/8\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 s when four letters picked without replacement from sjjssjsmssjjxjsssx.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 47. What is c(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. What is the nearest to -0.2 in d, 0.5, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1389\/19 - -73. What is the closest to 2\/3 in 0.5, g, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -373680, -373646, -373612, -373578, -373544, -373510?\n\"Answer: 34*b - 373714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9*14\/(-144))\/((-173)\/(-2595))\nAnswer: 105\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:45 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874531663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8364*d**3 + 10*d**2 + 35*d - 318. Let f(x) = -4182*x**3 - 5*x**2 - 15*x + 158. Let t(j) = -7*f(j) - 3*n(j). Find the third derivative of t(b) wrt b.\nAnswer: 25092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssbb when four letters picked without replacement from bsbsb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5220 and 13408.7.\nAnswer: 18628.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23670374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2395305860 to the nearest one million.\nAnswer: -2395000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*28\/((-1372)\/21)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n - 1. Let t(m) = 7*m**3 + 3*m**2 - 7*m - 4. Let l(d) = -6*b(d) + t(d). Let r be l(-3). Solve h + 3*c - 12 = 0, -2*h + r*c = h + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10935, -11633, -12331, -13029, -13727?\n\"Answer: -698*w - 10237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1509*q**2 + 125*q**2 + q + 6 - 1326*q**2.\nAnswer: -2710*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r. Suppose r = 67*s - 64*s - 3. List the prime factors of -12 - -35 - 1\/1*s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(550) + sqrt(550))\/sqrt(10))\/(sqrt(55)\/(2*sqrt(11) + sqrt(11)) - (sqrt(5) + (sqrt(5) - ((-1*sqrt(320) - sqrt(320)) + sqrt(320))))).\nAnswer: -33*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 2867?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from lccccclccc.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*l + 92*l + 96*l - 1871604. What are the prime factors of l?\nAnswer: 2, 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(1 + sqrt(180)))**2.\nAnswer: 540*sqrt(5) + 8145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -107, -163, -221, -281, -343?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oofffoffff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3023810 and 8.\nAnswer: 12095240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 6) to base 7.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4138134.\nAnswer: 2, 3, 7, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 2*n - 3*n)*(5 + 17 - 7) - 4*n - 2*n + 5*n in the form s*n + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Suppose g = -9*r + 11*r. Let z be -8 - -9 - 3\/r. Let u(h) = -3*h**3 - 2*h**2 + 3*h + 3. Determine u(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1128 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 13. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - 4*l + 2*l + 3*l)*((17*l + l - l)*(0*l + 4*l - 2*l) + 2*l**2 + 1 - 1) as q*l**2 + w*l**3 + t + o*l**4 + h*l and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1212, -1, 3 in increasing order.\nAnswer: -1212, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*b**4 + (b**3 + b - b)*(2*b + 0 + 0) - 6*b**2 - 48*b**4 - 2*b**3 - 59*b**4 + 67*b**4.\nAnswer: -36*b**4 - 2*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p + 7*p - 20*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 4 - y - 3\/2*y**2 + 1\/3*y**3. Let v be h(4). Solve -2*s - v*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -26*y + 26. Calculate t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 77*a**2 - 54*a + 34. Calculate q(2).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 41677138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 + o - 7. What is a(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -15. Let y be 517\/(-5) + f\/15. Find the common denominator of 25\/6 and 1 - 3\/(-6)*y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 - 2*i**2 + 6*i**2)*(-2*i + 5*i + 3*i) to the form g + o*i**3 + a*i**2 + k*i and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1260\/27*-34*873\/11543.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-183*p + 61 - 61)*(-44*p**3 + 44*p**3 + 6*p**4) - 2*p**5 + p**5 - 2*p**5.\nAnswer: -2199*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.036 and -1001507?\nAnswer: 36054.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-24 + 2) - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 52*x**2 + 3*x - 12. Let l = 322 + -329. Is y(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364178697*y - 364178697*y - y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 97223, 195532, 293841, 392150?\n\"Answer: 98309*i - 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g + 66*g - 12175 = 0. Calculate the remainder when g is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3122.8 + -3127.8. Let y = 0.4 + -0.2. Sort y, 2\/7, q, -0.1 in ascending order.\nAnswer: q, -0.1, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/352 or -2?\nAnswer: -3\/352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/35 greater than or equal to -33.15568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.12 - 8.3. Let f = 1.699 - t. Round f to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391, -777, -1161, -1543?\nAnswer: -1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (14 - -6 - 18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041094?\nAnswer: 2, 520547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15142153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:07 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/20 + 714\/(-8). Let p = -50 - h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3172699, 3172681, 3172663, 3172645, 3172627, 3172609?\nAnswer: 3172591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.474 and 2884?\nAnswer: -1367.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*v**2 + 4*v**3 + 91*v**2.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 27*o - 7308 = -65*o. Let c(v) = -v**3 + v - 4. Let s be c(-5). Is o at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:09 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434373*n**2 + 217186*n**2 + 217189*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 320, 320, 314, 296, 260, 200, 110, -16?\n\"Answer: -h**3 + 3*h**2 - 2*h + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 32. Suppose -171*p + 192*p = 42. Solve -4*h + 3*h - a = 4*r, 9 = -h - p*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3455 = 3*f, -6*q + 2295 = 2*f - 3*q. Let x = f - 320. What is x rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*w - 2*c**2 - 3*c*w**2 - 2*w**2 + 169 with respect to w.\nAnswer: -c**2 - 6*c*w - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -4, 3, -0.0451142, 2\/7?\nAnswer: -0.0451142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 441489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145200727 a multiple of 6850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (-17 - 9) - (2 - 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2388933 and 5537.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010101111100 - 1101000001?\nAnswer: -1010100010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -540 (base 6) to base 15.\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 18. Let c be (-3 - -4) + k\/(-1). Find the third derivative of 2*a**2 - 21*a - a**5 + 11*a + c*a wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10 + 0 - 108*u + 107*u. Determine g(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 8*j**2 - 8*j - 6. Let w be r(-7). Let f be w*(-50)\/(4 - 9). Let z(m) = -m**2 + 12*m - 12. Calculate z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, 18, 321, 912, 1887, 3342?\nAnswer: 5373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 6447.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -4, -73, 635, 2 in descending order.\nAnswer: 635, 3, 2, -1, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3121, 3122, 3123?\nAnswer: 3124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/4)\/((-2)\/(-8)). Calculate the greatest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:40 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = -2*n - o - 259, -4*n = -4*o - 28. Is 170\/81 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 8*j + 48 = 3*j, -2*a + 8 = 4*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*v = 170 + 73, -3*v = -o - 73. Let z = 139 + o. Suppose 0*m + 4*m - z = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 12*n**2 + 2*n - 14. Let a be j(-7). Let b = a + 91. Let v = 11 - b. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goto when four letters picked without replacement from {g: 1, f: 5, t: 1, o: 3, s: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r**2 - 4*r + 3 - 28*r - r**3 + 44*r - 10*r. Let o = -2 + -1. Let v(d) = -11*d**2 - 2*d - 4. Let l(g) = o*v(g) - 4*p(g). Let l(f) = 0. What is f?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-2) - (-5 + 1). Let a(x) = x + 11. Let i be a(-7). Let s(o) = 25*o**2 - 21*o - 3. Let c be s(1). Solve 8 = y - r, 0 = -h*y - i*r - c - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -1 (b) 0 (c) -1\/7 (d) 4.85 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -12022100201200?\nAnswer: 12022100201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**4 + 17*r**2 - 41. Let k(c) = -c**4 - 6*c**2 + 14. Let d(u) = 17*k(u) + 6*y(u). What is the derivative of d(v) wrt v?\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.339267 millimeters in centimeters?\nAnswer: 0.4339267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 9. Let f be l(8). Let c = f - 0. Let h(d) be the second derivative of d**5\/20 - d**3\/6 + d. What is h(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 231\/(-217) - (-3 + -2). What is the nearest to -0.05 in l, 2\/7, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 4*t - 21. Let h be 3\/(-4) - 6\/t. What is the second derivative of 0*v - v + h*v - v**3 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 716c6 (base 14) to base 12\nAnswer: 111ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.802 take away -88271.27254?\nAnswer: 88274.07454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57766?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 + 3*o**2 - 4*o**2)*((1 - 6 + 0)*(389 - 277 - 201) + 1 + 2 - 1) + (o + o + 0*o)*(-2*o + 4*o - o) in the form m + g*o + r*o**2 and give r.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -54, -1, 4, 2 in ascending order.\nAnswer: -54, -1, 6\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201710710.\nAnswer: 2, 5, 20171071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2985)\/60 - 3\/12. What is the lowest common multiple of 35 and ((-112)\/70)\/(4\/t)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 697*k**2 + 9*k - 17. Let q be v(2). Suppose 658 = 3*i - q. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b + 1420 + 5*b - 1420 - 6*b + 4*b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 49\/5 of a millennium?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**3 - 6*b**2 - 2*b + 6. Let p be 6\/5*(10 - 195\/26). Let g(k) = 43 - k - k + 42 + 4*k**p - 5*k**2 - 80. Determine -6*g(j) + 5*l(j).\nAnswer: -4*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.25 and -436.3.\nAnswer: -436.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264 + -264.116. Let v = r + 0.016. Which is the second biggest value? (a) 84 (b) v (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -485789\/14 - -34696. Which is greater: -6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 3*q + 2. Suppose 0 = f + 29 - 27. Give p(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 16174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(0*s**4 - s**4 + 0*s**4) - s - s**4 + s + (1 - 1 - 2*s**2)*(0*s**2 + 3*s**2 - 2*s**2).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18362 divided by -2\nAnswer: -9181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 - 2*a**4 + 0*a**4)*(-11 - 38 + 15)*(-3 - a + 3).\nAnswer: -68*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 43 - 9 = j, -242 = -5*t - 4*j. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**3*p*q**2 - n**3*p*q + 171*n**3*q + 48*n**2*q + 7*p*q + 2*p - 29241*q**3 + 2*q**2 wrt q.\nAnswer: 6*n**3*p - 175446*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6662.\nAnswer: 2, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1861*c**4 + 2*c**2 + 724*c**4 + 898*c**4 + (0*c + c + 4*c)*(c**3 - 2*c + 2*c).\nAnswer: -234*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188929630 and 530.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 + -4. Let x = -0.128 - -0.028. What is the closest to x in 4, -5\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256\/(-130) + (-2673)\/(-1215)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1268893806 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1304*j**5 + 67954*j**3 + 199807466*j?\nAnswer: 26080*j**3 + 407724*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2568328897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*y - 111*y + 990. Solve -y*h - 24 = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 8 + 36 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -71*p - 178. Let f be w(-2). What is the third smallest value in -2, -0.3, f, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12100000181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6146 divided by 2\nAnswer: 3073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -42*v + 6. Let t be l(-4). Find the common denominator of -71\/18 and t\/(-42) - (-6)\/(-4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -789 or -790?\nAnswer: -790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 11*w + 6 = -29, 4*k - 28 = -4*w for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1238292*z - 632575 wrt z?\nAnswer: -1238292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-16)\/(-4))*(-6 + -2). Let j be (-1042424)\/y*594 - -9. What is j rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2)*-1)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 9. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11133*s - 28*s**3 - 3*s**3 + 22261*s - 11128*s.\nAnswer: -31*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 9:54 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8712 and 89496?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224687 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1709, -5, -3, 1.\nAnswer: -5, -3, 1, 1709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25853, -51728, -77593, -103442, -129269, -155068?\n\"Answer: i**3 - i**2 - 25879*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -l - 12. Factor 0*u**2 + u**3 - l*u**4 - 2*u**4 + u**4 - u + 4*u**2.\nAnswer: -u*(u - 1)*(u + 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12574314 divided by -3.\nAnswer: 4191438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0561 - -10.9439. Put l, -0.4, -2\/19 in ascending order.\nAnswer: -0.4, -2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272032 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 11*q - 4. Suppose 5*p - 45 = -0*p. Calculate the remainder when f(p) is divided by -1*8\/(1 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 5*c**2 + 13. Let z be g(3). Suppose -5*d + 119 = -2*w, -7*d + 4*w + z = -6*d. Calculate the highest common divisor of d and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.04. Let s = m - -0.06. Which is smaller: 0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1562*i**4 + 14*i + 208*i**2 + 236*i**2 - 710*i**2 + 227*i**2 wrt i?\nAnswer: -37488*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-132)\/33*(2 - 3). Factor -h*o - 1\/4*o**2 - 16.\nAnswer: -(o + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 1. Let q(z) = z**2 + 4*z + 5. Let t be q(-4). Is g(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -642473 or -642534?\nAnswer: -642534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/6*1248\/(-364). Solve 0 = k + k + h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 2*c**2 + 2*c - 3. Let p be (-6)\/3 - (-12)\/3. Calculate the remainder when a(p) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**4 - 72*j**3 + 195*j**2 + 954*j - 1080 = 0.\nAnswer: -3, 1, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.05 (c) -2848 (d) 374\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -70120 minus -3314?\nAnswer: -66806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -14 + 9 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c - 36*c - 56*c + 37800. Calculate the lowest common multiple of 14 and c.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -0.17.\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 111 = -3*d - 105, -3*d = 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1076 decades in millennia?\nAnswer: 0.071076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 441, 12, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2 + 18. Suppose 3*g = -2*g - l. Which is smaller: -3\/55 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3395615 is divided by 336?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhkihihhmhiihni. Give prob of picking 2 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7136 - 7128. Solve 3*q + 3*c = 0, -48 = -4*q + 4*c - z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2914395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89777 is divided by 926?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 5\/2*n**2 + 5\/12*n**4 - 5\/3*n**3 + 0 - 32*n. Factor t(r).\nAnswer: 5*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 - -242?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -25.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4422, 4404, 4386, 4368?\n\"Answer: -18*n + 4440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*2*-5)**2*1.\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.63 - 76.37. Let z = 147117 + -147194.953. Let h = z - i. What is h rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*(f**(-1)\/f)\/f)\/f*f)**(-33))**43)**(-16) assuming f is positive.\nAnswer: f**(-45408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 73, 5, 3, -3 in decreasing order.\nAnswer: 73, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -20*t - 3*t**2 - 55 - t + 21*t. Calculate s(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 times 172\nAnswer: 63.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1) + -3 + 6. Let j be (-2)\/8 + (-1)\/(-36). Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*b + 58*j - 53*j, -2 = -4*b + 2*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14700774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, 9, 93, 169, 237?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 2*n**3 + 0*n**3 + 5*n**2 - 6*n**2 + (2*n**2 - 4 + 4)*(6*n - 2*n - n) to s*n**2 + f + x*n + c*n**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}